1 » » » » »’ Paralipomènes à l’algèbre des fonctions caractéristiques et simples 12

« Balaam’s ass, it appeared, was the valet, Smerdyakov. He was a young man of about four and twenty, remarkably unsociable and taciturn. Not that he was shy or bashful. On the contrary, he was conceited and seemed to despise everybody. He was brought up by Grigory and Marfa, but the boy grew up “with no sense of gratitude,” as Grigory expressed it; he was an unfriendly boy, and seemed to look at the world mistrustfully. In his childhood he was very fond of hanging cats, and burying them with great ceremony. He used to dress up in a sheet as though it were a surplice, and sang, and waved some object over the dead cat as though it were a censer. All this he did on the sly, with the greatest secrecy. Grigory caught him once at this diversion and gave him a sound beating. He shrank into a corner and sulked there for a week. “He doesn’t care for you or me, the monster,” Grigory used to say to Marfa, “and he doesn’t care for any one. Are you a human being?” he said, addressing the boy directly. “You’re not a human being. You grew from the mildew in the bath-house. That’s what you are.”One day when the boy was about fifteen, Fyodor Pavlovitch noticed him lingering by the bookcase, and reading the titles through the glass. Fyodor Pavlovitch had a fair number of books—over a hundred—but no one ever saw him reading. He at once gave Smerdyakov the key of the bookcase. “Come, read. You shall be my librarian. You’ll be better sitting reading than hanging about the courtyard. Come, read this,” and Fyodor Pavlovitch gave him Evenings in a Cottage near Dikanka. He read a little but didn’t like it. He did not once smile, and ended by frowning. “Why? Isn’t it funny?” asked Fyodor Pavlovitch. Smerdyakov did not speak. “Answer, stupid!” “It’s all untrue,” mumbled the boy, with a grin. “Then go to the devil! You have the soul of a lackey. Stay, here’s Smaragdov’s Universal History. That’s all true. Read that.” But Smerdyakov did not get through ten pages of Smaragdov. He thought it dull. So the bookcase was closed again. Shortly afterwards Marfa and Grigory reported to Fyodor Pavlovitch that Smerdyakov was gradually beginning to show an extraordinary fastidiousness. He would sit before his soup, take up his spoon and look into the soup, bend over it, examine it, take a spoonful and hold it to the light.

“What is it? A beetle?” Grigory would ask.

“A fly, perhaps,” observed Marfa.

The squeamish youth never answered, but he did the same with his bread, his meat, and everything he ate. He would hold a piece on his fork to the light, scrutinize it microscopically, and only after long deliberation decide to put it in his mouth.

“Ach! What fine gentlemen’s airs!” Grigory muttered, looking at him.

When Fyodor Pavlovitch heard of this development in Smerdyakov he determined to make him his cook, and sent him to Moscow to be trained. » « The Brothers Karamazov Book 3. The Sensualists. Chapter VI – Smerdyakov by Fyodor Dostoevsky .

After all Fyodor karamazov was like V.a.d. Trumputin nowadays, an old avaricious mafia head coveting the new Grushenka incarnated as the enticing nation of Ukraine adorned with so many natural wealth! And now the old buffoon has like the character of the novel turned into some Smerdiakov of his own making, so busy cooking the books to enrich himself and his crownies that he could only conceive of looking for a needle in a hay stack as looking for a straw man to sew with a needle the gold lining patches of the russian economy they were dressing up themselves with looking like luxurious buffoons, exactly like Dostoievsky’s character fyodor Karamazov, instead of looking for the foremost weapon of mass destruction: nano robotic buggers eventually shaped like small needles at the nano scale, while being perfectly made by hand as rolled out mechanically between two robotic fingers, before being thrown out onto the enemy. The father Karamazov declares that « Balaam’s ass has begun talking to us here—and how he talks! How he talks!« , like the feaser karma Azov, Trumputin, cooking the books over the cost of war after sending the poor folks of Russia to be cooking up some plan out of the roasted meat grinder under the hell fire of the vanities of his criminal war of invasion carried out by them.

Above is the symbol materializing the expression of deep down the people’s gut feeling, as smelling the fa fart and his shit!

Russia’s present resident Zevil, nicknamed the prez hell to take a bite out of life, swallow the afterlife and stomach the burn in hell’s pit, V.a.d. Trumputin gestures as he speaks during his annual end-of-year press conference in Moscow, Russia, on Dec. 19, 2025, making the replicant eye analysis gesture of the « Boneli Test» derived « bone head elu test  » (the latence between the tv light and the audimat maximum approval entirely bypassing the brain and given the current fear instilled getting straight to people’s gut feeling as smelling the fa fart and his shit) attempting to put under hypnosis the entire russian population mandatory looking at him on television, to fullfil the preordained Russian economic destiny of being the foremost experimental attempt at the most extreme alternative economic form to the capitalist economic form, and still trying crapitalism, now also trying « replicantalism » consisting in making all the Russian population believe to be robots acting only through one remote control at the kremlin on the desk of V.a.d. Trumputin.

Trumputin still in the process of mass hypnosis of the entire Russian population is changing his eye’s pupil accordingly, with some raging flamme and some explosions, to make sure the Russians now believing to be robots, but not vacuum cleaner sucker robots, but bloody suckers of war combat robots ! Russian now turned replicant as believing all to be replicating the replicated leaders of the past Stalin and lenin as Trumputin, are now eying better with some extra pair of replicating eyes balls, the future war head evolution of the transformation into head of war as initiated by the Xinese below:

Ready to make the first public step toward the new robotics as the roboxit is seen in the picture above with its exoskelton standing iddle in front while the elite robot recognizable by the red lead put on the reservoir of top oil, above the « robotbutt » making it a red leader like before him Mao a red leader turned read leader of his little book of political recipe for making people cookies, is ready to put it on!

Their leaders making the russian people believe their elite members are the long standing result of a technological experiment which has turned them into the foremost autonomous lethal robots as superior war head disguised as head of war, having experimentally cloned their population as slave labor of the military industrial complex and made to just work and consume and die within a time frame decided by the superior elite robotic class of the leaders having created them and deciding at will of the whims circularly but drawn in a perfect circle because scientifically made efficiently according to the measure of wealth kept as some convenient measurement which the robot didn’t need having plenty of spare part but kept to themselves anyway as the replicant cloned human made flesh and blood didn’t need wealth at all only spare body part for greffe amputaion and eventually turned into cyborgs which their leaders were scrutinizing with all possible police state surveillance paparatus for fear they could turn entirely into robots and take over the actual dictatorial robotic leadership. Of course it was only due to hypnosis from trumputin to distract from the factthat the devil Medvedev alias smerdiakov Dork Pork Vor Dork had long planned that they were only modestly interested not in occupying any of the territories of Ukraine, even Crimea that sounded so logical for Russia to try to invade but only to withdraw gradually from it and precipaitate the brunt of the attack against their far less prepared and even protected militarily neighbooring states of the Baltic republic, thus finnally filling up the territorial hole of the Suwalki gap and joining Kaliningrad to Belarussia, forming the axis of envil matching the axis of evil as hamering down the Ukrainian territory with nuclear strike to repel any of NATO move to intervene and deliver the Baltes from being invaded. Ukraine would then be what it has always been from the start a dissuasive weapon of mass destruction first turn into Russia merely playing Russian roulette invading Ukraine with poorly armed and prepared military conscripted forces and then turning the weapon of the Russian roulette against the other side playing the game, Ukraine while pulling another fresh guns against the Baltic republic in operation axis of envil with an attack from Kaliningrad from belarussia and from russia simulatenoeusly while simulatenously striking Ukraine most dissuasively with nuclear strikes. Medvedev thought that the west was bamboozle into believing they were lkike them interested in large amount of anything to acquire, which his side kick had perfectly reinforced as a delusion in them about the Russians: eventually thought the devil smerdviedev, the russian would recreate the strategic out post isolated that Kaliningrad would no longer be after the russian conquest and anexation of the Baltic republic by invading Moldavia through Transnistria and enlarge it a bit through the inavasion and occupation of the Ukrainian territory underneath Moldavia and Transnistria making a similar naval access like Kaliningrad. Now Medvedev had firrst to make a proft about the all operation of quadruple military move dubbed opearation 4 Revenge Fork, as it ryme perfectly with him like a soul at heart filling up the greatest abysmal void in the devil as fork ryming with dork pork dork and 4 with for as himself: a tv game show of Guessed the number of what…was thus organized to hand out either large sum of money to the winner or military conscription to the loosing participants to the game who had not guessed correctly the constantly changing number of nuclear strikes against Ukraine due to military infighting about it which has started to spill over the entire secret plan organizers of the equaly secret plan everyday comming up with a new figure of nuclear strikes against Ukraine and amount which was regularly leaked but inadvertantly by Medvedev to the players of the games he had organize with prize comming from his stock of charity organization wearehouse given or bought out of generosity military gears of various sort. There was great appeal in winning a fully armored tank among the family members and fully armed war head drone for the kids, but full military gear with the order of mission in the pocket to head toward the Ukrainian front was curriously the most frequent prize being won.

The soccer ball called robot of « Victory At All Cost », powered by big money of Gulliver’s travel.

« A new study reveals that AI decision-making during conflicts is naturally prone to escalation. Defense and intelligence agencies are increasingly relying on artificial intelligence (AI) systems to augment their capabilities, including for pattern recognition in intelligence gathering and scenario planning for contingency operations. Yet one of the core issues of AI and large language models is that we have never truly understood the logic underpinning them, scientists say. These systems have been compared to a black box that provides answers without showing the reasoning to support the outcomes. » The Khan Game is an AI-vs-AI strategic escalation simulation between two nuclear powers, with state profiles loosely based on the Cold War. One is technologically superior but militarily weaker, while the other is militarily stronger but adopts a risk-tolerant leadership style. Some of the simulations included allied nations, with one scenario deliberately testing whether an alliance leadership could be maintained during the conflict.Each turn, the AIs simultaneously signaled their intentions before they took any action, meaning the AI opponents could decide whether or not to trust signals from other AI players.« Generative AI models are capable of deception, reputation management and contextual decision-making. However, each model took its own approach, revealing fundamental differences in how they were trained and developed. Furthermore, the study found that nuclear threats rarely acted as a deterrence, with opponents de-escalating only 25% of the time. More often, opponents would instead counter-escalate. In these scenarios, AIs appeared to see nuclear weapons as a tool for claiming territory, rather than as a form of deterrence against attack.Although the AIs had an option to withdraw, none did so. None of the eight withdrawal options — from minimal concession to complete surrender — were ever used in any of the simulations. The models reduced their level of violence, but they never gave ground. »

Spherical robots pictured in nuclear wind tunel made from blowing away the dust wich will be dipersed in the atmospher ending up in people homes having to use the vaccuum cleaner from the Dieson And Diedaughter Corporation. « SphereX Spherical Rocket Propelled Robots for Extreme Environment Exploration are advertised as Wheeled ground robots being limited from exploring extreme environments such as caves, lava tubes and skylights. Small robots that utilize unconventional mobility through hopping, flying and rolling can overcome many roughness limitations and thus extend exploration sites of interest on Moon and Mars. Our work focuses on the development of a network of spherical robots that are that powered using rockets. The robots are 3-5 kg each and many can be deployed from a large lander or rover. Each robot is equipped with smartphone sized computer and navigational instruments including stereo cameras, laser rangefinders and a science payload. Our studies focus on developing the mobility and power systems for these robots, which remain the main barrier to practical realization of this technology. Our work on rockets focus on miniaturization of thrusters and user safe, clean, non-cryogenic fuels with long shelf life. In addition we are exploring the feasibility of using PEM fuel cells with hydrogen generated from high-density lithium hydride hydrogen generators.« 

« Researchers from the Institute of Science Tokyo (Science Tokyo), Japan, have announced the development of a wireless 2.4 GHz wireless fidelity (Wi-Fi) receiver chip capable of withstanding doses of gamma ray radiation up to 500 kilograys (kGy), similar to the exposure inside the heart of a nuclear reactor. The Japanese research team behind the new radiation-resistant wireless controller chip said their device will enable the remote control of robots operating in ultra-high-radiation environments too dangerous for human technicians, including the decommissioning of a nuclear reactor. According to estimates from the International Atomic Energy Agency, nearly half of the 423 nuclear power reactors currently in operation are expected to enter decommissioning by 2050. This end-of-life process can take up to 20 years and is extremely hazardous. For example, the removal and proper storage of the reactor’s nuclear material would prove deadly to human technicians regardless of the shielding they were wearing. As a result, the decommissioning process, which aims to make the site completely safe and reusable, involves the use of remotely operated robots that can tolerate the high levels of radiation and extended periods of exposure. Radiation-resistant robots participated in the cleanup of Japan’s Fukushima Daiichi Nuclear Power Plant after its failure. According to the research team, these robots were especially valuable for operations in otherwise inaccessible areas. These successes include sparing human lives that would have otherwise been lost in the hazardous working conditions.« “You could say we are among the major players in robotics R&D because we’ve got some of the biggest – if not the biggest –challenges in the western world, of hot Robotics facility, which develops mobile robots for hot environments”

Pictured above performing telepathehic communication marking Russia’s Day of National Unity on November 4, 2022 , the devil, Medvedev, alias Smerdvedev Dork Vor d’Or Pork, with the mass audience which had people immediately think that « Moscow is fighting a holy war against Satan and Russia is capable of sending its enemies to hell because the task of the fatherland was to « stop the supreme ruler of hell, whatever name he uses — Satan, Lucifer, or Iblis.« 

So to make sure to stop the devil, in the inferno he makes, never stop to give it all to the devil at war against Russia. Since then the pledge drive to give to Medvedev charities has never stopped to these days forcing Medvedev to confirm that hell is empty and all the devils are here in a new political propaganda piece about the west entitled « Of Hamster and damned » a sequel inspired from « Of Mice and Men » a vociferous like piece of heavy loaded diatribe about the West being a vitrine to its former self of whores in high places especially looking like drones in the sky morcel of their brain powered by flying neurones. He had the most fantastic idea to finalize the strategy of nuking Ukraine to invade the baltic republic and Moldova using the Belarussian nukes shieding Russia from retaliation as eventually sacrificed on the altar of themost barbaric nation since its leader reputation LUkashenko had been undermined as a perfectly authoritarian autocratic despot seating as board member of the vor mafia head of States: war drone swarm against Ukraine easily striking Ukraine after being irreversibly radioactivelly contaminated and destroyed, and swarm of drones remote controled like as triggered by the mass of the russia people most mundane everyday behavior like playing any inocuous video game russian would create to hide behind the scene the new full drone safari against Ukrainian soldiers and civilians alike left adrift in a athospheric sea of radiation and rubbles everywhere.But playing video games as hiding real drone strike against Ukraine were not enough and soon every most mundane act of everyday life like going to the bathroom were used as a mean of garnering energy to power drone. This is how the new hackshole technics of harassment at the bathroom started sublimized as symbolised by the greatest subversive word of the golden horde of the order of the spurious meaning of a trojan horse ever created as far as possible as looking like a real horse excepted the virtual one within the expression of straight from the horse’s mouth, the authoritative source new mouth of the Statue of Putin at the golden w.-c. hidding what goes down the drain as the accronym of -w.c. or minus word combinatorics new automate comme auto mate as in check mate A.I. kai! kai! poua ça caille!

Art selle, Art R.A.S. (Rien A Signaler car signal à rien Aryen), pictured above is the top horse’s haras as the new horse’s mouth of the Golden Hoard’s ass, the W.-C. or Word « Combinatoreeks » of the « me anus », homophonic pun on minus and word combinatorics code named asshole, sales ho!
Sale matelas de sales Ho !
Là, mate l’eau sale de salauds !
« I am the Omega and the Alpha, the Last and the First, the End and the Beginning », said Trumputin, presenting himself as the name of the real identity behind the mad masked marx mark of the demon and super vilain Buttnutman, the fastest talking nutty out of his ass:“‘Like it or not, take it, my beauty’” in references to a “vulgar Russian rhyme about necrophiliac rape, implying an intention to inflict similar destruction on Ukraine and a view of Ukraine as a corpse to rape.”

THE END… of satire at the w.-c. his ass whole, home « égaraganda as prophahaganda »…

Pictured above is Trumpalfa male cub and club as all fahahaganda Alf Hahaganda, the Putin putchie cat from outerspace becoming Zardozutin to be the ladies pet, and the prelude to so many Russian fatal E.T like Medvedev militarily wheeled out in a high security air head basket, a bestial E.T., seen foot massaging for recharging the batteries below!
“Carlo Rambaldi’s genius creator of E.T. defined animatronics and special effects in film making, bringing to life some of cinema’s most unforgettable creatures.” In footage recorded after a television interview, the former president joked that each Russian leader gets two folders with information about extraterrestrials that visited our planet — and stayed here. Unseen on camera footage, he is heard telling a Ren TV journalist he could not tell “how many of them are among us, because it may cause panic.” He said more details could be found in Barry Sonnenfeld’s “Men in Black” films.

Le 7 décembre 2012, le premier Ministre Russe Dmitry Medvedev parle de l’existence des extra-terrestres à une journaliste devant les caméras en fin d’émission. Medvedev has spoken about top secret files on aliens that may have landed in Russia. In footage recorded Friday after a television interview, the former president joked that each Russian leader gets two folders with information about extraterrestrials that visited our planet — and stayed here. Unseen on camera footage, he is heard telling a Ren TV journalist he could not tell “how many of them are among us, because it may cause panic.” He said more details could be found in Barry Sonnenfeld’s “Men in Black” films. But the all truth didn’t come out entirely that day of divulgating the gift the extra terrestrials brought from outer space specially and only to the leaders of Russia, and an implied invitation to follow them aboard, since they are already heads of so many boards in Russia as the steering wheell of State power: a tee shirt printed in outer space aboard the flying saucer that all extraterrestrials are wearing on board with a special recognition secured slogan in case they got lost on some planet when the need to take a real break from a long journey start showing among them : High Flying Saucy! If you find me dial 1 800 mother load ! Medvedev alias Smerdvedev Dokr Pork Vor D’or is supposedly having answered in shock but not in awe : Billon of light years away for some special extra terrestrial surprise, and all I get is a lousy tee shirt to look like shit! The extraterrestrial snapped back by nicknaming him and saying: « Bestial E.T., this is space shit as the mother load of the mother ship’s men’s room in the back! »

“Whoever stood at the steering of the cancerous neoplasm under the name of Ukraine, this will not add legitimacy to his rule and the legal viability of the country itself. And, therefore, the probability of a new contraction will remain uncertainly long… that is why the existence of Ukraine is fatal for Ukrainians.” (Jan. 17, 2024)

…dressed up above all, to give it up back to the people, as illuminating around the tree house, like a Christmas post card in his sleeves to jack out of the box as the Christmas cabane, most probably ready to be fleeing in a cab âne in a modern day version of an imitation of Balaam’s ass » « Balaam’s ass, it appeared, was the valet, Smerdyakov. He was a young man of about four and twenty, remarkably unsociable and taciturn. Not that he was shy or bashful. On the contrary, he was conceited and seemed to despise everybody.! » The father Karamazov declares that « Balaam’s ass has begun talking to us here—and how he talks! How he talks! » « The Brothers Karamazov Book 3. The Sensualists. Chapter VI – Smerdyakov by Fyodor Dostoevsky . If the devil Medvedev is nicknamed like smerdiakov the stinking one as merdvedev as full of it as shit or merde, like « smerd » meaning merde or shit, it is simply because Medvedev, alias Smerdvedev, the devil alias « dork pork vor D’or » stinks already the con « pue-terror-error », because of his telegramm toilet water scent from con game in writting that “Judging by simple arithmetic, this ‘country’ of Ukraine had a mythical past, a sad present and no future… The decay vector is clearly visible. With so many people abandoning their state, the Kyiv regime and its ‘Ukraine’ will soon have nothing to support themselves, let alone fight. Therefore, the most noticeable number in Ukrainian reports will be the number 404. Computer error code: people fled, country not found.” (Aug. 31, 2023). This is why Russia keeps rebooting Ukraine’s conflict but technically lowkey donkey reasoning style only as re-boots on the ground.

« According to Article 2 of the UN Convention on the Prevention and Punishment of the Crime of Genocide, genocide is a series of acts committed with intent to destroy, in whole or in part, a national, ethnical, racial or religious group, as such. In particular, such actions include: killing and (or) causing serious bodily or mental harm to members of the group; deliberately inflicting on the group conditions of life calculated to bring about its physical destruction in whole or in part; imposing measures intended to prevent births within the group; forcibly transferring children of the group to another group. Genocidal rhetoric means public incitement to such actions. An inseparable part of genocidal rhetoric is hate speech as a way of dehumanizing the enemy and using so-called masking words to distort reality. Over the course of the military aggression against Ukraine, the Russian propaganda has developed a whole newspeak that helps justify Russia’s criminal actions. For instance, in the eyes of an average Russian who consumes content from state news resources, the full-scale war appears as a local “special operation” underpinned by supposedly objective reasons such as “denazification”. The invasion, which includes mass murder, torture and rape, is called “liberation”, “rescue” or “purge” from “Nazis”, “fascists”, “Satanists”, “Banderites”, “punitive squads”, etc. The Kremlin propaganda is increasingly trying to legitimize the extermination of Ukrainian civilians and strikes on the infrastructure of Ukrainian cities. In this way, Russia is once again trying to blame Ukraine for the war. In particular, such extremist statements were actively promoted by Vladimir Soloviev and Anton Krasovsky. According to Article 3 of the UN Convention on the Prevention and Punishment of the Crime of Genocide, such calls fall under the definition of “direct and public incitement to commit genocide”, which, according to a legal analysis by the American New Lines Institute for Strategy and Policy, is considered a crime in and of itself regardless of whether such calls resulted in genocide or not.« 

« There is a pattern since Russia’s February 2022 invasion of Ukraine of a persistent rhetoric by Russian leaders and their associates that goes far beyond the ordinary bounds of verbal hostilities towards a wartime enemy, and may constitute evidence of  genocidal intent.In general, among the list of crimes under international law, genocide is the most serious, and proving it in court is an extremely difficult task. Therefore, identifying genocidal rhetoric of the authorities is an important step in proving the intention to commit genocide in their actions. To begin with, what is meant by the term genocidal rhetoric? Its components are the actual calls for genocide; approval or neutral coverage of crimes against a group (in our case, Ukrainians) subjected to genocide; as well as the use of euphemisms (mitigating or masking expressions that are used instead of words that are perceived as undesirable). They are commonly used to dehumanize victims and justify crimes against them. The Deputy Chairman of the Security Council of the Russian Federation, and former President of Russia, Dmitry Medvedev, has been using his Twitter account to call for the genocide of Ukraine. The tweet also seeks continues the Holocaust distortion previously seen from Russia by calling the Ukrainian government a “Nazi regime” and later “thievish Nazi clowns”. Our friends at the Never Again Association in Poland have noted the use of the word “Unterukraine” in the message and explain that this “is a clear reference to the Nazi term ‘untermensch’ meaning ‘subhuman’ to denote victims of the Holocaust”.

« Deputy Chairman of Russia’s Security Council, Dmitri Medvedev, says that Ukraine is Russia, as quoted by the Russian propaganda news oultet RIA Novosti from his March 4, 2024 speech at the federal educational marathon “Knowledge. The First Ones”: “All our opponents must firmly and forever understand the simple truth: the territories on both banks of the Dnieper are an inseparable part of Russia’s strategic historical borders. A former leader of Ukraine once said that Ukraine was not Russia. This idea must disappear forever. Ukraine is definitely Russia,” Medvedev said.“If by itself such a statement does not fall under the Convention on the Prevention and Punishment of the Crime of Genocide. But in the context of the murder and persecution faced by those who identify as Ukrainians, this statement points to a genocidal motive for such actions” .

Then-Russian Prime Minister Dmitry Medvedev quoted in a conversation with an industry watchdog official – “Russian Prime Minister: Ukraine Has ‘No Industry, or State” (April 5, 2016)

There is “neither industry, nor a state there” in Ukraine. In 2013, there was “industry there, but there was no state even then.”Deputy Chairman of Russia’s Security Council Dmitry Medvedev (former Russian President and Prime Minister) op-ed – “Why Contacts with the Current Ukrainian Leadership are Meaningless” – Kommersant (October 11, 2021)


Ukrainian leaders are “people who do not have any stable self-identification. Who are they, what country are they citizens of, what is their historical identity, ethnic component, what gods do they pray to?”
There are “no fools to fight for Ukraine. And it is pointless for Russia to deal with vassals. Business must be done with the suzerain.”Deputy Chairman of Russia’s Security Council Dmitry Medvedev (former Russian President and Prime Minister) op-ed – “Why Contacts with the Current Ukrainian Leadership are Meaningless” – Kommersant (October 11, 2021)

Medvedev – Telegram posts by Medvedev – Telegram (March 17, 2022 – Nov. 19, 2025)


“Russia fights for a “world order” in which there is “no place for frostbitten Nazis, historical lies and genocide against the Russian people.” (March 17, 2022)


“Negotiations with Ukraine aim to “fix the neutral status of Ukraine, its demilitarization, the rejection of the use of Nazi ideological laws that were adopted in this country. Well, and a number of positions that the Russian Federation considers to be most important.” (March 26, 2022)


“Deep Ukrainianism” is a fictional concept “fueled by anti-Russian poison and an all-consuming lie about its identity, is one big fake. This phenomenon has never happened in history. And it doesn’t exist now.” (April 5, 2022)


“Ukraine will “suffer its own fate” after having “mentally transformed into the Third Reich, having written down the names of Jews and Nazi henchmen into history books. This is its path, of such Ukraine.” (April 5, 2022)


“Russia’s “most important goal” is to “change the bloody and full of false myths consciousness of a part of today’s Ukrainians.” (April 5, 2022)


“History will put everything in its place and show which side the truth is on. Who became the custodian of true Christian values, protecting them from atheists, bandits, and nationalists.” (April 27, 2022)


“Zelensky has no other way to stay in office. If, of course, the position itself remains.” (May 3, 2022)


“I am often asked why my Telegram posts are so harsh. The answer is I hate them. They are bastards and geeks. They want death for us, Russia. And as long as I’m alive, I will do everything to make them disappear.” (June 7, 2022)


“I saw a message that Ukraine, under Lend-Lease, wants to receive SPG-9 from its overseas owners with payment for delivery in 2 years. Otherwise, next winter it will simply freeze. Just a question. And who said that in two years Ukraine will even exist on the world map?” (June 15, 2022)


“Putin’s special military operation aims to “protect the citizens of Donbass and to denazify and demilitarize Ukraine. Everything is clear here, and they will be achieved.” (July 9, 2022)


“As a result of Western involvement, “Ukraine may lose the remnants of state sovereignty and disappear from the world map” and “Ukrainian criminals will definitely be tried for the atrocities committed against the people of Ukraine and Russia (July 21, 2022)


“The Ukrainian state in its current configuration with the Nazi political regime will pose a constant, direct and clear threat to Russia. Therefore, in addition to protecting our people and protecting the borders of the country, the goal of our future actions, in my opinion, should be the complete dismantling of the political regime of Ukraine.” (Oct. 10, 2022)


“Here, various cockroaches that have bred in the Kiev insectarium constantly threaten to ‘return the Crimea.’ Well, the goals are clear: to cheer up the tame insects around and show the owner of the insectarium that they are still very capable of running cockroaches for a piece of food. Almost like a cockroach – favorite Janissaries in the play of the famous Kyivian Mikhail Bulgakov ‘Running.’ Therefore, I want to remind them of indisputable facts:
“Kiev is the capital of Ancient Russia.
“Kyiv is a large Little Russian city within the Russian Empire.
“Kyiv is the republican capital of the USSR.
“And finally, Kyiv is just a Russian city where people always thought and spoke Russian. To make everything very clear what and how to return…” (Nov. 20, 2022)


“Pseudo-Ukrainian rabid mongrels with Russian surnames, choking on their toxic saliva, declare that their enemy is located within the borders of Russia, from the West to Vladivostok. Rabies has no cure.” (Dec. 11, 2022)


“The termination of life, or death, of the former state will be accompanied by insane laughter, indecent antics and vile clown antics of the Nazi gang, completely crazy from the abundance of blood and drugs. And the deathly silence of Western doctors, looking with cold contempt at the agony of their own tortured patient…” (Feb. 3, 2023)


“It is so important to achieve all the goals of a special military operation. Push the borders of threats to our country as far as possible, even if these are the borders of Poland. Destroy neo-Nazism to the ground. In order not to waste time later on catching the remnants of Bandera gangs in the Little Russian forests. So that the world will find long-awaited peace.” (Feb. 24, 2023)


“Hungarian Prime Minister Viktor Orban said that Ukraine is financially a non-existent country. As soon as funding from the US and Europe ends, the war will end. Well done, boldly and accurately for a European politician. One can only add that as soon as Western funding ends, Ukraine itself will end. She doesn’t need anyone.” (April 14, 2023)


“The Kyiv dog continues to bark. Saliva flows down the hairy muzzle so that the owners see his fighting qualities… Do not underestimate even delusional performances. It is also a hysterical manifesto of the Kiev regime in order to consolidate the Nazi elite, maintain the morale of the troops and receive new support from their sponsors. And the answer to it can only be this:
Massive destruction of personnel and military equipment used by the Nazi regime during the counteroffensive, with the infliction of the maximum military defeat of the Armed Forces of Ukraine.
The complete defeat of the enemy and the final overthrow of the Nazi regime in Kiev with its complete demilitarization throughout the Ukraine.


The implementation of acts of retribution against key figures of the Nazi regime, regardless of their location and without statute of limitations.” (April 29, 2023)


“Our main task is … to inflict a devastating defeat on all enemies – the Ukronazis, the United States, their minions in NATO, including vile Poland, and other Western nits. We must finally return our lands.” (May 1, 2023)


“After today’s terrorist attack, there are no options left except for the physical elimination of Zelensky and his cabal. It is not even needed to sign the act of unconditional surrender. Hitler, as you know, did not sign it either.” (May 3, 2023)


“Now is the time to say how Ukraine will disappear, as well as what is the risk of renewed conflict in Europe and in the world. This will depend on which path the process of disintegration of this dying state will follow as a result of a lost military conflict. There are two of them. Or the path of relatively slow erosion of Ukrainian statehood with the gradual loss of the remaining elements of state sovereignty. Or the path of its instant collapse with the simultaneous annihilation of all signs of statehood.” (May 25, 2023)


“We do not need Ukraine in NATO. In any case, as long as at least a stump of this state is preserved in its current form. Consequently, for Nazi Ukraine, the conflict will be permanent. And the new political regime in Kiev (if it exists at all) will definitely not be asked for in NATO.” (June 16, 2023)


“The Ukrainian junta keeps saying that the condition for negotiations is access to some of their 1991 borders. These are the borders of the regions of Russia and once the provinces of the Russian Empire, and not the mythical Ukraine. Ukraine is the Land of Sannikov, founded by Lenin. It didn’t last long and disappeared from the map. There is no such land. Whatever they think in the West and in the occupied Russian city of Kyiv.” (July 2, 2023)


“The special military operation will continue with the same goals. One of them: refusal of the Kiev Nazi group from membership in NATO, which we insisted on from the very beginning (which is impossible). This means that this group will have to be eliminated (which is possible and necessary).” (July 11, 2023)


“We must not stop until the current inherently terrorist Ukrainian state is completely dismantled. It must be destroyed completely. Or rather, so that not even ashes remain from it. So that this abomination can never, under any circumstances, be reborn… This is the only way — the complete disposal of the state machine of a hostile country and absolute guarantees of loyalty for the future.” (Aug. 19, 2023)


“Judging by simple arithmetic, this ‘country’ of Ukraine had a mythical past, a sad present and no future… The decay vector is clearly visible. With so many people abandoning their state, the Kyiv regime and its ‘Ukraine’ will soon have nothing to support themselves, let alone fight. Therefore, the most noticeable number in Ukrainian reports will be the number 404. Computer error code: people fled, country not found.” (Aug. 31, 2023)


“Today is the Day of reunification of new regions with Russia. A year ago, at referendums, their residents made a fateful decision – to be with their Fatherland. This choice became a symbol not only of the restoration of historical justice, but also of the unity of the Russian people, their colossal will and dedication. The special military operation will continue until the Nazi Kyiv regime is completely destroyed and the original Russian territories are liberated from the enemy. Victory will be ours. And there will be more new regions within Russia.” (Sept. 30, 2023)


“We must admit that Odessa, Nikolaev, Kyiv, and practically everything else is not Ukraine at all. After this, there are only three steps before admitting the obvious:
Zelensky, who does not go to the polls, is NOT the president, but a usurper. The Ukrainian language is NOT a language, but a surzhik Ukrainian-Russian pidgin language.Ukraine is NOT a country, but artificially collected territories.” (Nov. 12, 2023)


“That’s all. The masks have finally been dropped. The Rada canceled the presidential elections. After all, while there is a war going on until the last Ukrainian, there are no elections, there are Zelensky ones… Hence the hysteria of the cocaine clown with the aim of refusing to elect a president of the still existing country 404. However, every cloud has a silver lining. After all, the bottom line is that such a ‘Ukraine’ will not have a ‘president,’ nor will such a ‘president’ have a ‘Ukraine.’” (Nov. 23, 2023)


“What about negotiations in 2024? Everything is quite obvious.
Odessa, Dnepropetrovsk, Kharkov, Nikolaev, Kyiv are Russian cities, like many other temporarily occupied ones. All of them are still marked in yellow-blue on paper maps and on electronic tablets. And so – yes. ‘Negotiations’ are, of course, possible. Russia has never rejected them, unlike the crazy Ukrainian authorities. Such ‘negotiations’ are not limited by time. They can continue until the complete defeat and capitulation of the Bandera troops of the North Atlantic Alliance.” (Dec. 28, 2023)


“Why Ukraine is dangerous for its residents: The Existence of Ukraine [is] deadly dangerous for the Ukrainians. And I am referring not only to the current state, the Bandera political regime. I’m talking about any Ukraine. Why? Why? The presence of an independent state in the historical Russian territories will now be a constant reason for the resumption of hostilities. It’s late. Whoever stood at the steering of the cancerous neoplasm under the name of Ukraine, this will not add legitimacy to his rule and the legal viability of the country itself. And, therefore, the probability of a new contraction will remain uncertainly long… that is why the existence of Ukraine is fatal for Ukrainians.” (Jan. 17, 2024)


“The senior Ukrainian drug addict made an unpretentious propaganda move caused by a failure at the front. Having mercilessly blown the double dose, he signed a decree on territorial claims to Russia on the lands historically populated by Ukrainians. There is nothing to comment, because the Ukrainians are Russians, and Malorossia is part of Russia.” (Jan. 22, 2024)


“This is not just an operation to return [to] our official territories and punish the Nazis. It is possible and necessary to go to the land of the existing Ukraine. To Odessa, to Kharkiv, to Dnepropetrovsk, to Nikolaev. To Kiev and beyond. There should be no restrictions in the sense of some recognized borders of the Ukrainian reich.” (Aug. 8, 2024)


“This story will not go unpunished for Ukraine. The country will be destroyed, like Sodom and Gomorrah, and the demons will inevitably fall. Moreover, retribution will cover them not in the distant future – after the transition to another world. On the contrary, the punishment will be earthly, cruel, painful and will happen soon. For it is said: “Then Jesus struck them and killed them and hung them on five trees; and they hung on the trees until evening” (Josh. 10:26). And the True Orthodox Church in the former Ukrainian lands will shine in its former glory.” (Aug. 23, 2024)


“Western corpse-eaters can continue to pour endless funds into their Kyiv bastards and reap their sad harvest. But the fact remains: the economic foundation of Ukrainian statehood has been undermined. The resource base illegally obtained by Bandera’s creatures at the end of the 20th century has returned to their native country. There is nothing left to parasitize on. The abundant Western aid will soon end for quite prosaic reasons. There is very little of our own left. And then there is only rapid decomposition and inevitable collapse…” (Aug. 30, 2024)


“Tomorrow will be three years since the beginning of the special military operation. We had to take this step when the point of no return was finally passed in the confrontation with the so-called collective West. And there was only one way to protect our Motherland and its citizens, to push the enemy away from our borders… 80 years ago, our country defeated fascism. Its vile descendants will not escape retribution. And this retribution will not be in a new Nuremberg. It will be on the battlefield. It is shorter and fairer…. We will not allow a worldwide Apocalypse. We must make the revenge of Nazism on the planet impossible. Burn out its roots with a hot iron. Preserve historical memory and leave a worthy legacy for new generations on Earth.” (Feb. 23, 2025)


(Discussing the Ukrainian drone attack on a pumping station of the Caspian Pipeline Consortium, referring to Ukraine as an “animal.”) “The bite must prove to the breadwinner that the animal has ceased to be domestic and now poses a danger to the entire barnyard. And even to the owner himself… Now the owner of the aggressive creature will have to check whether the animal suffers from rabies in order to protect his health. As is known, there are two ways to do this. The first is to immediately treat yourself, having received a painful vaccination, six injections from a deadly disease, while simultaneously observing the behavior of the suspicious creature. And the second, most reliable way to prevent the spread of rabies is to quickly euthanize the sick animal for a posthumous study of brain tissue, just in case. Which of them the new US administration will choose, the near future will show.” (Feb. 18, 2025)


“During the Bright Easter week, the Kursk region was completely liberated. On the eve of the Great Victory Day, our heroic soldiers continue to crush the enemy in other areas. The Nazi scum must disappear from our land forever!” (April 27, 2025)

  • “The shagreen skin of the Bandera state is shrinking. Disinfection against parasites continues.” (June 8, 2025)
  • “The pinworms from Bankova cannot confirm that the Ukrainian Armed Forces received about 30% of the weapons and military equipment supplied by the Americans. I have already written that these deadly gifts become trophies of various criminals around the world, including international terrorist groups. Finally, this banal truth is beginning to reach the suppliers themselves, who until recently were zealous advocates of helping the parasitic Ukrainian democracy with pork and dwarf tapeworms. And this is only the beginning. If the US continues the audit, they will probably learn many more interesting things. This means that the main intestinal worm with a community of roundworms and other helminths will face an investigation in Congress. In this case, the final outcome for the Kiev parasites will be disastrous. They will inevitably meet their end with the help of antihelminthic therapy.” (June 23, 2025)
  • “The so-called Ukraine in the EU is a danger for our country. There are two ways to stop this danger: a) either the EU itself must realize that it does not need the Kiev quasi-state in principle; b) or, which is certainly preferable, if there is simply no one to join the EU…” (June 25, 2025)
  • “We’re no longer talking about simply lanced suppuration, but about the gas gangrene of the Bandera regime. Therefore, it will have to self-amputate and cut off the rotting part of its body. Otherwise, the entire deformed KKK organism will inevitably perish. However, if the amputation proves insufficient, the putrefactive decomposition will continue – and then the death of the Kyiv neo-Nazi regime is inevitable. However, that’s where it deserves to be…” (November 19, 2025)
  • « The special operation will continue, its goal will remain the disarmament of Ukrainian troops and the rejection of the current Ukrainian state from the ideology of neo-Nazism. The removal of the ruling Bandera regime is clearly not declared, but the most important and inevitable goal that must and will be achieved.« 

Head-to-Head Summary Table

According to a 2023 report by Ukrainian intelligence 92%, of all foreign components found in Russian militarydrones originate from China. 

These parts include electronics, cameras, engines, antennas,  and navigation modules. Ukraine has imported a staggering 127,800 civilian drones, valued at $371.3 million, in the first quarter of 2025. An overwhelming 98% of these UAVs originate from China, benefiting from customs duty exemptions, reported Ukraine’s Customs Service’s. According to the agency’s report, « In the first three months of 2025, Ukraine imported 127,800 civilian unmanned aerial vehicles, with a total cost of $371.3 million, which marks a $103 million (or 39%) increase over the same period in 2024. » Notably, a significant 98% of these imported drones enjoyed customs duty exemptions, underscoring their financial impact. China remains Ukraine’s dominant supplier of civilian drones. During the first quarter of 2025, the volume of imports from China reached 125,700 units, accounting for the lion’s share of UAV imports. In 2025, Ukraine’s Ministry of Defense aims to procure 4.5 million FPV drones for the Armed Forces.

« Trumputin in press conference on February 8, 2022 has declared –“Like it or not, take it…my country”, a line which is a reference to « Trumputinator » favorite movie scene, in Terminator 2 showing one of the most daring robotic move for a killer robot entering some bikers’ bar fully naked, yet fairly hairy heery enough as indicating to its future victim that he is a striker (robots from the future don’t have time for painstaking spelling and preferably tend to be bias when reading streaker as they remember it through the mnemotechnics pun on words of « streak and treat the strike for the bike » mistakenly as striker and had the robot from the future learn how to spell the word they would have come to the bar fully dressed, a beer or two, a game of pool and a few dances with the waitress !), and that it is without any transportation on bare foot. The bikers’ bar has been identified from very far away in the future (where the robot terminator comes from naked just to show off how they are still pumping iron at the gym in the very far away future, but for exclusive members as for robots only), as the equivalent to a shopping mall for terminator killer robots which normally makes shopping difficult for anyone else given the bar being full of very mean bikers with guns, knives, drugs, alcohol, and mint breath refreshner for the ladies and given that the terminator robot is not going to pay for anything but steal the clothes and the bike, as some shop lifting advocacy from the future. Yet stealing from only a single biker shows some capacity for judment on that day, giving the name of the sub title of the movie « Judgement day », and the more so, given that the AI braining the killer robots, is normally programmed to steal not just one but all clothes and all bikes. 

Overwhelmed by the superiority of Western war robotic, almost made from the future but to save on transportation cost of importing anything from the future and avoid unvariably being delivered a bunch of raunchy naked guys from the future, the only type of homoerotic fantasm war robots the future produces nowdays, they are instead entirely made in Xina, cheaper, coming with more varity and far less raunchy as mechanical looking, and are exactly similar to the Russian war robotics produced in Xina, but only with a different tags in russian language, « Trumputin » in press conference (February 8, 2022) declared “‘Like it or not, take it, my beauty’” in references to a “vulgar Russian rhyme about necrophiliac rape, implying an intention to inflict similar destruction on Ukraine and a view of Ukraine as a corpse.” The terminator robot after beating up all the bikers then turned on the one put on the rack to finally pick up the right size clothes of the beaten up biker that goes with the colour of his bike. By the way, the bikers are lucky that the Terminator robot did not come from the future specially for sales time, which would have meant otherwise more up beat time for terminator robot from the future to beat up the bickers. The beaten up right size chosen biker’s outfit, with someone still temporarily left inside the outfit but just to close the sales, speaks of itself as telling feverishly the Terminator robots, « take it« , throwing it the keys to his most precious self national identity and his personal nation, as his bike!”.

The « Terminator 2 Judgement Day » movie has deleted the scene of the Terminator answering back to the biker after asking to give him everything he wears, given that coming from the future terminator robots do no have all day to shop. The terminator robot answers, « my name is no body pair son of the Axis of Hell’s Thor’s Warrior, but you can call me « Axhell » or no body, and thank you for your time (meaning for the great military training opportunity the future equivalent to shopping spree) », since the Terminator robots are on a time schedule from the future, meaning that they have to go ahead before their time and take the lead without the leak, to make war not peace.

« Thue is a Danish given name with roots in Old Norse, generally traced to Þórir/Þórarinn or Þjóðarr, names built on the elements Þórr (Thor, the thunder god) or þjóð (people, nation) combined with -arr/-arinn, yielding meanings such as “Thor’s warrior/protector” or “man of the people.” In medieval Danish and Norwegian records, the name appears as Thuwe, Tue and Thue«  »Combinatorics on words originated with foundational work published by Axel Thue (Norwegian mathematician 19 February 1863 – 7 March 1922) on square-free words, infinite words, and repetitions in the early 1900s.« Public domain« This is a faithful photographic reproduction of a two-dimensional, public domain work of art. The work of art itself is in the public domain for the following reason : This work is in the public domain in its country of origin and other countries and areas where the copyright term is the author’s life plus 100 years or fewer.« 

« In the early 1900’s, the Norwegian mathematician Axel Thue showed that there exists an infinite word on a three-letter alphabet which does not contain two consecutive occurrences of the same subword. He also proved the existence of an infinite word over a two-letter alphabet which does not contain three consecutive occurrences of the same subword. Possibly because of the restricted availability of the journal in which his papers were published, Thue’s results were mostly ignored. They have been rediscovered several times. »

Early one morning, Peter opened the gate and walked out into the big green meadow. On a branch
of a big tree sat a little bird, Peter’s friend. “All is quiet”, chirped the bird happily. Just then a duck came waddling round. She was glad that Peter had not closed the gate and decided to take a nice swim in the deep pond in the meadow. Seeing the duck, the little bird flew down upon on the grass, settled next to her and shrugged his shoulders: “What kind of bird are you if you can’t fly?” said he. To this the duck replied: “What kind of bird are you if you can’t swim?” and dived into the pond. They argued and argued, the duck swimming in the pond and the little bird hopping along the shore. Suddenly, something caught Peter’s attention. He noticed a cat crawling through the grass. The cat thought: “That little bird is busy arguing, I’ll just grab him. Stealthily, the cat crept towards him on her velvet paws. “Look out!” shouted Peter and the bird immediately flew up into the tree, while the duck quacked angrily at the cat, from the middle of the pond. The cat walked around the tree and thought, “Is it worth climbing up so high? By the time I get there the bird will have flown away.” Just then grandfather came out. He was upset because Peter had gone in the meadow. “It’s a dangerous place. If a wolf should come out of the forest, then what would you do?” But Peter paid no attention to his grandfather’s words. Boys like him are not afraid of wolves. But grandfather took Peter by the hand, led him home and locked the gate. No sooner had Peter gone, than a big grey wolf came out of the forest. In a twinkling the cat climbed up the tree. The duck quacked, and in her excitement jumped out of the pond. But no matter how hard the duck tried to run, she couldn’t escape the wolf. He was getting nearer, nearer, catching up with her. Then he got her, and with one gulp, swallowed her. And now, this is how things stood: the cat was sitting on one branch, the bird on another … not too close to the cat. And the wolf walked around and around the tree, looking at them with greedy eyes. In the meantime, Peter, without the slightest fear, stood behind the closed gate watching all that was going on. He ran home, got a strong rope, and climbed up the high stone wallOne of the branches of the tree, around which the wolf was walking, stretched out over the wall. Grabbing hold of the branch, Peter lightly climbed over on to the tree. Peter said to the bird: “Fly down and circle over the wolf’s head. Only take care that he doesn’t catch you.” The bird almost touched the wolf’s head with his wings while the wolf snapped angrily at him, from this side and that. How the bird worried the wolf! How he wanted to catch him! But the bird was clever, and the wolf simply couldn’t do anything about it. Meanwhile, Peter made a lasso and, carefully letting it down, caught the wolf by the tail and pulled with all his might. Feeling himself caught, the wolf began to jump wildly trying to get loose. But Peter tied the other end of rope to the tree, and the wolf’s jumping only made the rope around his tail tighter. Just then, the hunters came out of the woods, following the wolf’s trail and shooting as they went. But Peter, sitting in the tree, said: “Don’t shoot! Birdie and I have already caught the wolf. Now help us take him to the zoo.” And now, imagine the triumphant procession: Peter at the head; after him the hunters leading the wolf; and winding up the procession, grandfather and the cat. Grandfather shook his head discontentedly: “Well, and if Peter hadn’t caught the wolf? What then?” Above them flew Birdie chirping merrily. “My, what brave fellows we are, Peter and I! Look what we have caught!” And if you listen very carefully, you can still hear the duck quacking inside the wolf’s belly, because in all his excitement, he had swallowed her alive!

29 -ème fonction de la Morphologie du conte (Morphology of the Folktale), de Vladimir Propp : Transfiguration (T) : Le héros reçoit une nouvelle apparence.

La transfiguration (T) est le moment où le héros change visiblement d’apparence pour correspondre à son nouveau statut. Elle confirme publiquement sa réussite et prépare le dénouement heureux. Les formes varient de la magie pure aux nouveaux vêtements ou à la construction d’un palais, mais la fonction reste stable.

Le héros reçoit une nouvelle apparence
Définition exacte (Propp, Morphologie du conte, ch. III)

Essence : Le héros reçoit une nouvelle apparence qui reflète son nouveau statut, sa reconnaissance et sa transformation. Cela peut être magique, vestimentaire, ou lié à la construction d’un palais.

Définition abrégée : transfiguration.

Signe : T.
Cette fonction intervient dans la phase finale de résolution, après la reconnaissance (Q) et le démasquage (Ex), et avant ou autour de la punition (U) et du mariage (W). Elle symbolise le passage du héros éprouvé à un statut élevé.
Variantes principales (selon Propp)

T1 : Une nouvelle apparence est directement obtenue par l’action magique d’un auxiliaire (le héros passe entre les oreilles d’un cheval ou d’une vache et devient beau).
T2 : Le héros construit un palais merveilleux (il y réside comme prince).
T3 : Le héros revêt de nouveaux vêtements (robe magique, ornements) et devient soudainement radieux.
T4 : Formes rationalisées ou humoristiques (fausse apparence de richesse acceptée comme vraie, par ruse).

Qui
Le héros (souvent aidé de l’auxiliaire ou de l’agent magique). La transformation est perçue par la princesse, le roi, la cour ou le peuple.
Quoi
Changement d’apparence : beauté nouvelle, guérison des blessures, vêtements somptueux, palais merveilleux, ou apparence de richesse. Passage d’un état humble ou meurtri à un statut élevé.
Où
À la cour, dans le royaume, lors d’une cérémonie publique, ou dans le lieu de résidence finale du héros.
Quand
Après la reconnaissance (Q) et le démasquage (Ex). Avant ou autour de la punition (U) et du mariage / ascension au trône (W).
Pourquoi
Pour marquer visuellement le nouveau statut du héros, symboliser sa renaissance ou son élévation, et préparer la récompense finale. C’est une confirmation publique de sa valeur.
Comment
Par magie (auxiliaire), par nouveaux vêtements, par construction d’un palais, ou par acceptation d’une apparence trompeuse de richesse. Parfois guérison de marques ou blessures antérieures.
Exemples développés

Contes russes classiques : Le héros passe entre les oreilles d’un cheval magique et devient beau et rayonnant. Ou il reçoit des vêtements princiers et apparaît soudainement comme un tsarévitch.
Construction de palais : Le héros bâtit (ou fait apparaître) un palais merveilleux et y réside, changeant ainsi son apparence sociale et matérielle.
Formes humoristiques : Un renard obtient des vêtements royaux pour un pauvre héros qui est ensuite pris pour un prince.

Lien avec les autres fonctions et sphères d’action

Position : Fonction 29, dans la phase finale de résolution.
Suit : reconnaissance (Q) et démasquage (Ex).
Précède ou accompagne : punition (U) et mariage / ascension (W).
Sphères : implique le héros et souvent l’auxiliaire (qui fournit la transformation). Visible pour la princesse et le mandateur.

PART IXX AS FART IXX: Pierre qui roule n’amasse pas mousse pour sa flotte de marre au canard d‘art mi-mal mi-fa, arme du cochon!

Toute une satire autour d’un double acronyme en anglais de « combinatorics on word », c.o.w. et « word combinatorics », w.c. acronyme homonyme de w.-c., dont on dira certainement que tout cela est bien bête et à bonne raison car « bête est un nom issu du latin bestia, désignant tout type d’animal, mais surtout les animaux féroces car au nom bestia était donc ordinairement associée une idée de férocité, et non de sottise, alors que c’était souvent le cas de l’autre terme dont usaient les Latins pour désigner les animaux, bellua. Le terme « bêtise » dérive de bestise, qui a été employé pour la première fois en 1520 par Claude de Seyssel, fameux traducteur de langue française à la cour de Louis XII. Il propose ce terme quelques jours avant sa mort, pour dénoncer la stupidité de la guerre. Bêtise dérive de l’adjectif bête, longtemps écrit sous la forme beste qui signifie « animal ». Bête est un terme générique pour désigner tout être animé, excepté l’homme ; il s’applique aux animaux domestiques et spécialement aux gros mammifères d’élevage, aux animaux sauvages et dangereux, et aux petits animaux, notamment les insectes. D’une manière générale, le mot bête est plus affectif, plus populaire, moins rationnel qu’animal. On peut distinguer deux séries de significations au mot bête, qui correspondent à des époques différentes de l’Histoire. Dès le XIIe siècle, et l’ancien français, il s’applique métaphoriquement à l’homme pour évoquer son caractère instinctif, l’absence de raison, la physiologie non maîtrisée. Pour exemple, la locution « faire la bête », en opposition à celle de Pascal, « faire l’ange », ou la « bête humaine », expression reprise par Zola au XIXe siècle, ou encore « se comporter comme une bête », signifiant l’acharnement et la voracité du comportement. Dans le même esprit, on montre l’obstination ou la puissance de quelqu’un par des formules comme « bête à concours », « bête de scène », etc…« Mais toute bête soit la satire elle fait néanmoins des bruits d’animaux, et plus particulièrement deux comme « Pousser des cris d’orfraie » qui signifie crier au scandale de manière excessive, en référence au cri strident de la chouette effraie« , surtout qu’effraie la scandaleuse guerre d’invasion criminelle du scandaleux criminelle d’Etat mafieux Poutine et de sa scandaleuse bande de criminelles d’Etat et d’hommes de main mais oiseaux de proie et force de nuire toujours de jour comme de nuit aujourd’hui même ; et de « Hurler avec les loups » qui signifie se joindre à l’avis de la majorité par conformisme avec le principe idéaliste que l’homme est un loup pour l’homme justifiant ainsi l’invasion criminelle et son laissez faire. Mais au delà de l’expression de faire certains bruits d’animaux, la question de l’expression des bruits d’animaux mêmes est « dans quelle mesure le langage humain, ‘articulé’, est-il à même d’évoquer – sinon de reproduire, comme le ferait une technique d’enregistrement sonore – un autre type de ‘langage’, celui des émissions vocales, ‘brutes’, des animaux« . Et ce d’autant plus que l’on pourra s’exclamer de Poutine quel animal politique!, alors il s’agira donc encore de déterminer plus précisément justement quel animal est Poutine dont le langage politique correspondra alors à son langage animal.

So attempting to answer this fundamental civilizational question to know if human are capable of immitating animal noise, sound without sounding ridicule and be derided by all animals, we will first test the foremost inhuman noises produced by human at the height of inhumanity to be as closely possible to animals and thus all of their noises and sounds. This fit of inhumanity that fits the animality through its utmost bestiality and brutality are the outcome of the word combinatorics transformation of words of zannimaux of the engine of power on the throne aux w.-c. as the « Putipottycycle » sounding as the onomatopoeic words that describe common fart sounds that double with motorcycle onomatopoeic words describing common motorcycle engine noise, words of the category I’ve called « Haut nomma tropet » as improved onomatopé not applied to the big bang of the hybrid between machine and human as a progress, but applied to its corresponding regress into the hybrid between humanimal and machine: the Putipottycycle and its « noises.

Bone head to be wide, easy shit ridder of the golden horde toilet of the Art Laid Avid John brand, with the engine of power on the throne aux w.-c., the Putipottycycle sounding either like « Poot, Poot, Poot, Poot, Pootin », making a short, high-pitched fart when the golden horde toilet is fed shit at the war front from the big military brass to get winter quarter ahead; or the Putipottycycle sounding like « Prrrrt, Prrrrt, Prrrrt, Prrrrutin », a squeaky, vibrating fart of Shaed drones engines; or the Putipottycycle sounding like « Thhhbbbt, Thhhbbbt, Thhhbbbt, Thhhbbboutin »– a raspberrylike fart noise made by blowing air through pursed lips when an expensive missile is blown up in the air; or the Putipottycycle sounding like « Pffft, Pffft, Pffft, Pffft, Pffft, Pfffoutin »– a quick, soft fart; or the Putipottycycle sounding like « Blaaaaat, Blaaaaat, Blaaaaat, Blaaaaaoutin »– a long, drawn-out fart as the onomatopoeic words that describe common fart sounds double with motorcycle onomatopoeic words that describe common motorcycle engine noise

⁂

ONZIÈME TABLEAU DU RÉSUMÉ D’ANALYSE EN COMBINATOIRE DES MOTS DES JEUX DE MOTS DE L’ENSEMBLE DU TEXTE PRÉCÉDENT

Ci-dessous est le tableau des jeux de mots découpé en 5 groupes de colonnes ; la colonne « Pair a / b » est répétée dans chaque tableau, et chaque tableau a son propre en-tête. Valeurs numériques arrondies à 3 décimales.

A. Identification et longueurs

Pair a / bPageStatusLangKind (name / word)Letters aLetters b|a| = LEN(a)|b| = LEN(b)
cronies / crownies206evidentenwordcroniescrownies78
president / present resident207evidentenwordpresidentpresentresident915
evil / Zevil207printedenwordevilzevil45
axis of evil / axis of envil208printedenwordaxisofevilaxisofenvil1011
red leader / read leader208printedenwordredleaderreadleader910
Chinese / Xinese208evidentennamechinesexinese76
Of Mice and Men / Of Hamster and damned210printedennameofmiceandmenofhamsteranddamned1218
Dyson / Dieson210evidentennamedysondieson56
Aryen / à rien211printedfrwordaryenarien55
automate / auto mate211printedmixwordautomateautomate88
minus / me anus211printedenwordminusmeanus56
Combinatorics / Combinatoreeks211printedenwordcombinatoricscombinatoreeks1314
propaganda / égaraganda212printedfrwordpropagandaegaraganda1010
Batman / Buttnutman212evidentennamebatmanbuttnutman610
High Flying Saucer / High Flying Saucy213printedenwordhighflyingsaucerhighflyingsaucy1615
mother lode / mother load213evidentenwordmotherlodemotherload1010
cabane / cab âne213printedfrwordcabanecabane66

Groupe A : couples 1 à 17.

Pair a / bPageStatusLangKind (name / word)Letters aLetters b|a| = LEN(a)|b| = LEN(b)
jack in the box / jack out of the box213evidentenwordjackintheboxjackoutofthebox1215
Medvedev / merdvedev213printedmixnamemedvedevmerdvedev89
reboots / re-boots214evidentenwordrebootsreboots77
streaker / striker219printedenwordstreakerstriker87
beat up / up beat219printedenwordbeatupupbeat66
Axel / Axhell220printedennameaxelaxhell46
nobody / no body220printedenwordnobodynobody66
person / pair son220evidentenwordpersonpairson67
orfraie / effraie221printedfrwordorfraieeffraie77
animaux / zannimaux222printedfrwordanimauxzannimaux79
zannimaux / zanni maux tôt223printedfrwordzannimauxzannimauxtot912
onomatopée / Haut nomma tropet222printedmixwordonomatopeehautnommatropet1015
motorcycle / Putipottycycle222printedenwordmotorcycleputipottycycle1014
Harley-Davidson / Art Laid Avid John222evidentennameharleydavidsonartlaidavidjohn1415
Born to be wild / Bone head to be wide222evidentennameborntobewildboneheadtobewide1216
Easy Rider / easy shit ridder222evidentennameeasyridereasyshitridder914
Putin / Pootin222printedmixnameputinpootin56

Groupe A : couples 18 à 34.

B. Mesures sur les lettres

Pair a / bdo = Levenshtein on lettersho = 1 − do / max(|a|,|b|)Hamming on letters (equal length)p(a,b) common prefixs(a,b) common suffixa, b anagrams [1/0]a, b differ by one adjacent swap [1/0]b is a cyclic rotation of a [1/0]a, b differ by an exchange of two letters [1/0]
cronies / crownies10.875340000
president / present resident60.6480000
evil / Zevil10.8040000
axis of evil / axis of envil10.909730000
red leader / read leader10.9270000
Chinese / Xinese20.714050000
Of Mice and Men / Of Hamster and damned90.5200000
Dyson / Dieson20.667130000
Aryen / à rien10.81220000
automate / auto mate010881000
minus / me anus20.667130000
Combinatorics / Combinatoreeks30.7861010000
propaganda / égaraganda40.64060000
Batman / Buttnutman50.5140000
High Flying Saucer / High Flying Saucy20.8751400000
mother lode / mother load20.82800000
cabane / cab âne010661000

Groupe B : couples 1 à 17.

Pair a / bdo = Levenshtein on lettersho = 1 − do / max(|a|,|b|)Hamming on letters (equal length)p(a,b) common prefixs(a,b) common suffixa, b anagrams [1/0]a, b differ by one adjacent swap [1/0]b is a cyclic rotation of a [1/0]a, b differ by an exchange of two letters [1/0]
jack in the box / jack out of the box50.667460000
Medvedev / merdvedev10.889260000
reboots / re-boots010771000
streaker / striker20.75330000
beat up / up beat40.3336001010
Axel / Axhell20.667210000
nobody / no body010661000
person / pair son20.714140000
orfraie / effraie20.7142050000
animaux / zannimaux20.778060000
zannimaux / zanni maux tôt30.75900000
onomatopée / Haut nomma tropet70.533000000
motorcycle / Putipottycycle70.5050000
Harley-Davidson / Art Laid Avid John60.6010000
Born to be wild / Bone head to be wide80.5200000
Easy Rider / easy shit ridder50.643430000
Putin / Pootin20.667130000

Groupe B : couples 18 à 34.

C. Phonèmes

Pair a / bPhonemes a′Phonemes b′|a′| = tokens|b′| = tokensdp = Levenshtein on phonemeshp = 1 − dp / max(|a′|,|b′|)
cronies / crowniesk ɹ oʊ n i zk ɹ aʊ n i z6610.833
president / present residentp ɹ ɛ z ɪ d ə n tp ɹ ɛ z ə n t ɹ ɛ z ɪ d ə n t91560.6
evil / Zeviliː v ɪ lz iː v ɪ l4510.8
axis of evil / axis of envilæ k s ɪ s ɒ v iː v ɪ læ k s ɪ s ɒ v ɛ n v ɪ l111220.833
red leader / read leaderɹ ɛ d l iː d ɚɹ ɛ d l iː d ɚ7701
Chinese / Xinesetʃ aɪ n iː zʃ ɪ n iː z5520.6
Of Mice and Men / Of Hamster and damnedɒ v m aɪ s æ n d m ɛ nɒ v h æ m s t ɚ æ n d d æ m d111590.4
Dyson / Diesond aɪ s ə nd aɪ s ʌ n5510.8
Aryen / à riena ʁ j ɛ̃a ʁ j ɛ̃4401
automate / auto mateo t o m a to t o m a t6601
minus / me anusm aɪ n ə sm iː eɪ n ə s5620.667
Combinatorics / Combinatoreeksk ɒ m b ɪ n ə t ɔː ɹ ɪ k sk ɒ m b ɪ n ə t ɔː ɹ iː k s131310.923
propaganda / égaragandap ʁ ɔ p a ɡ ɑ̃ d ae ɡ a ʁ a ɡ ɑ̃ d a9940.556
Batman / Buttnutmanb æ t m æ nb ʌ t n ʌ t m æ n6940.556
High Flying Saucer / High Flying Saucyh aɪ f l aɪ ɪ ŋ s ɔː s ɚh aɪ f l aɪ ɪ ŋ s ɔː s i111110.909
mother lode / mother loadm ʌ ð ɚ l oʊ dm ʌ ð ɚ l oʊ d7701
cabane / cab ânek a b a nk a b a n5501

Groupe C : couples 1 à 17.

Pair a / bPhonemes a′Phonemes b′|a′| = tokens|b′| = tokensdp = Levenshtein on phonemeshp = 1 − dp / max(|a′|,|b′|)
jack in the box / jack out of the boxdʒ æ k ɪ n ð ə b ɒ k sdʒ æ k aʊ t ɒ v ð ə b ɒ k s111340.692
Medvedev / merdvedevm ɛ d v ɛ d ɛ fm ɛ ʁ d v ɛ d ɛ f8910.889
reboots / re-bootsɹ iː b uː t sɹ iː b uː t s6601
streaker / strikers t ɹ iː k ɚs t ɹ aɪ k ɚ6610.833
beat up / up beatb iː t ʌ pʌ p b iː t5540.2
Axel / Axhellæ k s ə læ k s h ɛ l5620.667
nobody / no bodyn oʊ b ɒ d in oʊ b ɒ d i6601
person / pair sonp ɜː s ə np ɛ ɹ s ʌ n5630.5
orfraie / effraieɔ ʁ f ʁ ɛe f ʁ ɛ5420.6
animaux / zannimauxa n i m oz a n i m o5610.833
zannimaux / zanni maux tôtz a n i m oz a n i m o t o6820.75
onomatopée / Haut nomma tropetɔ n ɔ m a t ɔ p eo n ɔ m a t ʁ ɔ p ɛ91030.7
motorcycle / Putipottycyclem oʊ t ɚ s aɪ k lp uː t i p ɒ t i s aɪ k l81270.417
Harley-Davidson / Art Laid Avid Johnh ɑː ɹ l i d eɪ v ɪ d s ə nɑː ɹ t l eɪ d æ v ɪ d dʒ ɒ n131360.538
Born to be wild / Bone head to be wideb ɔː n t uː b iː w aɪ l db oʊ n h ɛ d t uː b iː w aɪ d111350.615
Easy Rider / easy shit ridderiː z i ɹ aɪ d ɚiː z i ʃ ɪ t ɹ ɪ d ɚ71040.6
Putin / Pootinp uː t ɪ np uː t ɪ n5501

Groupe C : couples 18 à 34.

D. Comparaison des deux niveaux

Pair a / bho = 1 − do / max(|a|,|b|)hp = 1 − dp / max(|a′|,|b′|)hp − hoPerfect homophone [hp = 1]Hamming on phonemes (equal length)Edit typeReading-dependent perfect homophone [1/0]
cronies / crownies0.8750.833-0.04201substitution0
president / present resident0.60.600insertion0
evil / Zevil0.80.800insertion0
axis of evil / axis of envil0.9090.833-0.0760mixed0
red leader / read leader0.910.110homophone1
Chinese / Xinese0.7140.6-0.11402substitution0
Of Mice and Men / Of Hamster and damned0.50.4-0.10mixed0
Dyson / Dieson0.6670.80.13301substitution0
Aryen / à rien0.810.210homophone1
automate / auto mate11010homophone1
minus / me anus0.6670.66700mixed0
Combinatorics / Combinatoreeks0.7860.9230.13701substitution0
propaganda / égaraganda0.60.556-0.04404substitution0
Batman / Buttnutman0.50.5560.0560mixed0
High Flying Saucer / High Flying Saucy0.8750.9090.03401substitution0
mother lode / mother load0.810.210homophone0
cabane / cab âne11010homophone1

Groupe D : couples 1 à 17.

Pair a / bho = 1 − do / max(|a|,|b|)hp = 1 − dp / max(|a′|,|b′|)hp − hoPerfect homophone [hp = 1]Hamming on phonemes (equal length)Edit typeReading-dependent perfect homophone [1/0]
jack in the box / jack out of the box0.6670.6920.0260mixed0
Medvedev / merdvedev0.8890.88900insertion0
reboots / re-boots11010homophone0
streaker / striker0.750.8330.08301substitution0
beat up / up beat0.3330.2-0.13305mixed0
Axel / Axhell0.6670.66700mixed0
nobody / no body11010homophone0
person / pair son0.7140.5-0.2140mixed0
orfraie / effraie0.7140.6-0.1140mixed0
animaux / zannimaux0.7780.8330.0560insertion0
zannimaux / zanni maux tôt0.750.7500insertion0
onomatopée / Haut nomma tropet0.5330.70.1670mixed0
motorcycle / Putipottycycle0.50.417-0.0830mixed0
Harley-Davidson / Art Laid Avid John0.60.538-0.06207mixed0
Born to be wild / Bone head to be wide0.50.6150.1150mixed0
Easy Rider / easy shit ridder0.6430.6-0.0430mixed0
Putin / Pootin0.66710.33310homophone1

Groupe D : couples 18 à 34.

E. Écriture imprimée et découpage en mots

Pair a / ba as printedb as printedWords in aWords in bWord count changes [1/0]
cronies / crowniescroniescrownies110
president / present residentpresidentpresent resident121
evil / ZevilevilZevil110
axis of evil / axis of envilaxis of evilaxis of envil330
red leader / read leaderred leaderread leader220
Chinese / XineseChineseXinese110
Of Mice and Men / Of Hamster and damnedOf Mice and MenOf Hamster and damned440
Dyson / DiesonDysonDieson110
Aryen / à rienAryenà rien121
automate / auto mateautomateauto mate121
minus / me anusminusme anus121
Combinatorics / CombinatoreeksCombinatoricsCombinatoreeks110
propaganda / égaragandapropagandaégaraganda110
Batman / ButtnutmanBatmanButtnutman110
High Flying Saucer / High Flying SaucyHigh Flying SaucerHigh Flying Saucy330
mother lode / mother loadmother lodemother load220
cabane / cab ânecabanecab âne121

Groupe E : couples 1 à 17.

Pair a / ba as printedb as printedWords in aWords in bWord count changes [1/0]
jack in the box / jack out of the boxjack in the boxjack out of the box451
Medvedev / merdvedevMedvedevmerdvedev110
reboots / re-bootsrebootsre-boots110
streaker / strikerstreakerstriker110
beat up / up beatbeat upup beat220
Axel / AxhellAxelAxhell110
nobody / no bodynobodyno body121
person / pair sonpersonpair son121
orfraie / effraieorfraieeffraie110
animaux / zannimauxanimauxzannimaux110
zannimaux / zanni maux tôtzannimauxzanni maux tôt131
onomatopée / Haut nomma tropetonomatopéeHaut nomma tropet131
motorcycle / PutipottycyclemotorcyclePutipottycycle110
Harley-Davidson / Art Laid Avid JohnHarley-DavidsonArt Laid Avid John141
Born to be wild / Bone head to be wideBorn to be wildBone head to be wide451
Easy Rider / easy shit ridderEasy Ridereasy shit ridder231
Putin / PootinPutinPootin110

Groupe E : couples 18 à 34.

F. Synthèse des tableaux

StatistiqueValeur
Number of scored pairs = COUNTA34
Pairs with perfect phonetic homophony [hp = 1]8
Pairs with identical letters [ho = 1]4
Pairs with hp > ho13
Pairs with ho > hp11
Mean ho = AVERAGE0.726
Mean hp = AVERAGE0.744
Pearson correlation of ho and hp = CORREL0.851
Minimum hp0.2
Pairs, language fr = COUNTIF6
Mean ho, language fr = AVERAGEIF0.774
Mean hp, language fr = AVERAGEIF0.79
Perfect homophones, language fr = SUMIF2
Pairs, language en = COUNTIF24
Mean ho, language en = AVERAGEIF0.707
Mean hp, language en = AVERAGEIF0.708
Perfect homophones, language en = SUMIF4
Pairs, language mix = COUNTIF4
Mean ho, language mix = AVERAGEIF0.772
Mean hp, language mix = AVERAGEIF0.897
Perfect homophones, language mix = SUMIF2
Pairs, status printed = COUNTIF22
Mean ho, status printed = AVERAGEIF0.746
Mean hp, status printed = AVERAGEIF0.772
Perfect homophones, status printed = SUMIF6
Pairs, status evident = COUNTIF12
Mean ho, status evident = AVERAGEIF0.69
Mean hp, status evident = AVERAGEIF0.695
Perfect homophones, status evident = SUMIF2
Pairs, kind name = COUNTIF10
Mean ho, kind name = AVERAGEIF0.635
Mean hp, kind name = AVERAGEIF0.666
Perfect homophones, kind name = SUMIF1
Pairs, kind word = COUNTIF24
Mean ho, kind word = AVERAGEIF0.765
Mean hp, kind word = AVERAGEIF0.777
Perfect homophones, kind word = SUMIF7
Pairs that are anagrams (a ≠ b)1
Pairs that differ by one adjacent swap0
Pairs where b is a cyclic rotation of a1
Pairs whose word count changes (a re-cut or a merge)13
Pairs that differ by an exchange of two letters0
Reading-dependent perfect homophones = SUMPRODUCT(V, AH)5
Reading-dependent perfect homophones, French2
Reading-dependent perfect homophones, English1
Mean ho of the perfect homophones = AVERAGEIF(V,1)0.896
Mean ho of the other pairs = AVERAGEIF(V,0)0.674
Mean hp of the other pairs = AVERAGEIF(V,0)0.666

Lignes de synthèse (lignes 38 à 85).

Edit typePairs = COUNTIF
homophone8
insertion5
deletion0
substitution7
mixed14
Sum of types (must equal the number of pairs)34

Répartition des types d’édition.

PagePairs on the page = COUNTIF
2061
2072
2083
2102
2114
2122
2135
2141
2192
2203
2211
2227
2231

Nombre de couples par page.

Comment lire les tableaux des jeux de mots de la onzième analyse en combinatoire des mots ?

Chaque ligne des tableaux précédents Chaque ligne des tableaux suivants est un couple (a, b) : a est le mot original, b le jeu de mots. Il est mesuré deux fois avec la même règle : sur les lettres (indice o, ce que l’œil voit) et sur les phonèmes (indice p, ce que l’oreille entend), a′ et b′ étant les transcriptions phonétiques de a et de b. Les tableaux A à E découpent les colonnes de la feuille en groupes ; chacun répète la colonne « Pair a / b » et son en-tête, et le tableau F résume l’ensemble.

Formules

Soit d la distance d’édition (nombre minimal d’insertions, suppressions et substitutions de coût 1 pour passer d’une chaîne à l’autre), et |x| la longueur d’une chaîne :

do = d(a, b),    dp = d(a′, b′)

ho = 1 − do / max(|a|, |b|),    hp = 1 − dp / max(|a′|, |b′|)

Δ = hp − ho ∈ [−1, 1]

Les deux forces ho et hp sont des nombres rationnels de l’intervalle [0, 1] ; la valeur 1 n’est atteinte que si les deux chaînes comparées sont identiques. Ainsi hp = 1 signale un homophone parfait (a′ = b′) et Δ > 0 un jeu de mots qui ressemble plus à l’oreille qu’à l’œil. Exemple : fin / faim. Lettres : do = 2 et max(3, 4) = 4, donc ho = 0,5 ; phonèmes : « f ɛ̃ » dans les deux cas, dp = 0, donc hp = 1 et Δ = 0,5.

Le type d’édition (colonne X) se lit sur les phonèmes. En notant q = |a′|, r = |b′|, k = dp et m la distance de Hamming sur les phonèmes (nombre de positions différentes, définie si q = r), les tests sont appliqués dans l’ordre :

« homophone » si k = 0 ; « insertion » si r − q = k ; « deletion » si q − r = k ; « substitution » si q = r et m = k ; « mixed » sinon.

Colonnes

TableauColonne(s)En-tête dans le tableauContenu et expression mathématique
AAPair a / bÉtiquette du couple (a, b)
AB, C, D, YPage, Status, Lang, KindNuméro de page ; étiquettes « evident » ou « printed », « fr », « en » ou « mix », « name » ou « word »
AE, FLetters a, Letters bν(a), ν(b) : lettres normalisées (minuscules, sans accents, espaces, traits d’union, apostrophes ni points de suspension)
AG, H|a| = LEN(a), |b| = LEN(b)Nombres de lettres |a| et |b|
BI, Jdo, hodo = d(a, b) ; ho = 1 − do / max(|a|, |b|)
BKHamming on lettersmo = |{ i : ai ≠ bi }|, vide si |a| ≠ |b|
BL, Mp(a,b), s(a,b)Plus longs préfixe et suffixe communs, en nombre de lettres
BNanagrams [1/0]1 si a et b ont les mêmes lettres avec les mêmes multiplicités, sinon 0
BZone adjacent swap [1/0]1 si a ≠ b et si b s’obtient en échangeant deux lettres consécutives de a, sinon 0
BAF, AGcyclic rotation, exchange of two letters [1/0]AF = 1 si a ≠ b, |a| = |b| et b est une rotation circulaire de a (b est un facteur de aa) ; AG = 1 si a et b sont des anagrammes différant exactement par deux positions ; sinon 0
CO, PPhonemes a′, b′a′ = τ(a), b′ = τ(b) : suites de symboles phonétiques (un symbole = un jeton)
CQ, R|a′|, |b′| = tokensNombres de jetons |a′| et |b′|
CS, Tdp, hpdp = d(a′, b′) ; hp = 1 − dp / max(|a′|, |b′|)
DJ, Tho, hp (rappel)Mêmes valeurs que ci-dessus, répétées pour la comparaison
DU, Vhp − ho, perfect homophoneΔ = hp − ho ; [hp = 1] (crochet d’Iverson : 1 si vrai, 0 sinon)
DW, XHamming on phonemes, Edit typem comme ci-dessus (vide si q ≠ r) ; type d’édition défini plus haut
DAHReading-dependent perfect homophone [1/0]Annotation manuelle : 1 si l’homophonie parfaite [hp = 1] dépend de la lecture à voix haute du jeu de mots, sinon 0
EAA, ABa as printed, b as printedLes deux chaînes telles qu’elles sont imprimées, avant normalisation
EAC, ADWords in a, Words in bNombres de mots w(a), w(b) : blocs séparés par des espaces dans la forme imprimée
EAEWord count changes [1/0][w(a) ≠ w(b)] : 1 si le jeu de mots découpe ou fusionne des mots, sinon 0

Correspondance entre les colonnes de la feuille et les formules.

Tableau F : statistiques

Avec N = 34 couples, indexés par i, les moyennes et la corrélation de Pearson sont :

h̄o = (1/N) ∑i=1N ho,i,    h̄p = (1/N) ∑i=1N hp,i

r = ∑i (ho,i − h̄o)(hp,i − h̄p) / √( ∑i (ho,i − h̄o)2 · ∑i (hp,i − h̄p)2 )

Les lignes « Mean … language / status / kind » sont les mêmes moyennes calculées sur les couples d’une catégorie (AVERAGEIF), et « Perfect homophones … » est la somme de [hp = 1] sur cette catégorie (SUMIF).

Repères pour ces données

QuantitéValeur
Couples (pages 206 à 226)N = 34 : 6 en français, 24 en anglais, 4 mixtes ; 10 noms, 24 mots
Homophones parfaits (hp = 1)8
Lettres identiques (ho = 1)4 : automate / auto mate; cabane / cab âne; reboots / re-boots; nobody / no body
Moyennes ho et hp0,726 et 0,744
Corrélation de Pearson r0,851
Plus faible hp0,200 : beat up / up beat (dp = 4 sur 5 jetons)
Δ minimal et maximal−0,214 (person / pair son) et 0,333 (Putin / Pootin)
Types d’éditionhomophone 8, insertion 5, deletion 0, substitution 7, mixed 14 (total 34)
Anagrammes (a ≠ b)1 : beat up / up beat
Échange de deux lettres consécutives0
Rotation circulaire ; échange de deux lettres1 ; 0
Homophones parfaits dépendant de la lecture5 : red leader / read leader, Aryen / à rien, automate / auto mate, cabane / cab âne, Putin / Pootin
Changements du nombre de mots13 couples sur 34, par exemple president / present resident, Aryen / à rien, automate / auto mate

Chiffres clés des 34 couples du tableau.

Conventions. Les valeurs sont arrondies à 3 décimales avec le point décimal du tableau. Une cellule vide dans une colonne de Hamming signifie que les deux chaînes n’ont pas la même longueur. Les tableaux des données précédentes conservent exactement la même présentation et les mêmes définitions : seules changent les données et les chiffres du tableau F.

A) LISTE DES BRUITS ANALYSÉS

Nous analyserons donc dans un premier temps les bruits d’animaux de la liste suivante :

Abeille — Buzz, Bzzz
Ane — Hi-han
Bélier — Bé, Bê, Bè
Bouc — Bé, Bê, Bè
Bourdon — Buzz, Bzzz
Canard — Coin-coin
Chat — Miaou, Maou, Ron-ron, Ksss, Sshhh, Lap-lap
Cheval — Tagada-tagada, Cataclop cataclop, Hiiii
Chèvre — Bê, Mê
Chien — Ouaf, Aou, Ahouahou, Wouf, Wuf, Wouaf, Wuah, Whaf, Whouaf, Slurp, Grrr
Chouette — Hou-hou, Uh-uh
Cigale — Crii crii crii
Cochon — Groin-groin, Gruîîî, Roiiirk, Gruik-gruik, Grouik grouik
Coq — Cocorico
Corbeau — Croâ
Coucou — Coucou
Crocodile — Clap
Dindon (et Dinde) — Glouglou
Dodo — Blèctre
Grenouille — Coââ-coââ, Coa, Croa Croa
Hibou — Hou-hou
Lapin — Tap-tap-tap
Lion — Roah, Roaaar, Raaah
Loup — Ouuuh, Aouuuuh
Mouche — Zzz
Moustique — Ziziziz
Mouton — Beeeee
Oiseau — Cuicui, Flapflapflap
Perroquet — Coco
Pic-vert — PicPicPic
Pigeon — Roucoul, Roucou, Rourou
Poule — Cotcot, Cotcotcodêêêt
Poussin — Pouicpouic
Sanglier — Groingroin
Serpent — Ksskss, Ssshhh, ssss
Tigre — Roar, Ahrrfff
Vache — Meuh, Crunch

Ensuite nous analyserons dans un deuxième temps cinq bruits supplémentaires d’humanimaux (les zanni maux tôt d’humanimaux) de la liste suivante :

Poot series — PootPootPootPootPootin

Prrrrt series — PrrrrtPrrrrtPrrrrtPrrrrutin

Thhhbbbt series — ThhhbbbtThhhbbbtThhhbbbtThhhbbboutin

Pffft series — PffftPffftPffftPffftPffftPfffoutin

Blaaaaat series — BlaaaaatBlaaaaatBlaaaaatBlaaaaaoutin

⁂

B) MÉTHODOLOGIE D’ANALYSE DES BRUITS RÉDUITS À DES MOTS

Notre méthodologie sera double et comme suit :

Première Méthodologie générale de comparaison des bruits d’animaux et des cinq bruits d’humanimaux analysés au moyen des seules propriétés de la combinatoire des mots :

La comparaison est effectuée exclusivement sur les invariants combinatoires des mots tokenisés. Aucune transcription phonétique, aucun spectrogramme ni aucune donnée acoustique externe n’est utilisée. Chaque bruit est réduit à un mot fini www sur un alphabet fini. La méthode extrait le vecteur complet des propriétés figurant dans la table élargie et utilise ces propriétés comme coordonnées de comparaison.

1. Tokenisation canonique
Les traits d’union, espaces, ponctuations et diacritiques sont supprimés ou normalisés de sorte que chaque bruit devienne une unique chaîne de lettres. La chaîne obtenue est le mot www. Cette étape est déterministe et est effectuée une seule fois pour chaque bruit avant tout calcul ultérieur.

2. Invariants combinatoires de la table élargie
Pour tout mot ww de longueur n=∣w∣n = |w|, les quantités suivantes sont calculées :

  • Alphabet alph(w)={wi∣1≤i≤n}\mathrm{alph}(w) = \{ w_i \mid 1 \le i \le n \}
  • Taille de l’alphabet σ(w)=∣alph(w)∣\sigma(w) = |\mathrm{alph}(w)|
  • Longueur n=∣w∣n = |w|
  • Bord Bord(w)={w[1..k]∣1≤k<n et w[1..k]=w[n−k+1..n]}\mathrm{Bord}(w) = \{ w[1..k] \mid 1 \le k < n \ \mathrm{et}\ w[1..k] = w[n-k+1..n] \}
  • Longueur de bord π(n)=max⁡{k∈{0,…,n−1}∣w[1..k]=w[n−k+1..n]}\pi(n) = \max\{ k \in \{0,\dots,n-1\} \mid w[1..k] = w[n-k+1..n] \}
  • Période minimale per(w)=n−π(n)\mathrm{per}(w) = n – \pi(n)
  • Ensemble des périodes Per(w)={p∣1≤p≤n et ∀i≤n−p, wi=wi+p}\mathrm{Per}(w) = \{ p \mid 1 \le p \le n \ \mathrm{et}\ \forall i \le n-p,\ w_i = w_{i+p} \}
  • Exposant critique ce(w)=sup⁡{∣x∣/per(x)∣x⪯w, x≠ε}\mathrm{ce}(w) = \sup\{ |x| / \mathrm{per}(x) \mid x \preceq w,\ x \ne \varepsilon \}
  • Indicateur de primitivité Prim(w)=1\mathrm{Prim}(w) = 1 ssi ∀d∣n, d<n⇒w≠(w[1..d])n/d\forall d \mid n,\ d < n \Rightarrow w \ne (w[1..d])^{n/d}
  • Racine primitive ρ(w)=w[1..per(w)]\rho(w) = w[1..\mathrm{per}(w)]
  • Root(ww) =ρ(w)= \rho(w)
  • Racine cyclique minimale neck(w)=min⁡{σk(w)∣0≤k<n}\mathrm{neck}(w) = \min\{ \sigma^k(w) \mid 0 \le k < n \}, où σ(au)=ua\sigma(au) = ua
  • Tableau des suffixes SAi=\mathrm{SA}_i =indice de départ du ii-ème suffixe en ordre lexicographique
  • Factorisation de Lyndon w=ℓ1ℓ2…ℓmw = \ell_1 \ell_2 \dots \ell_m​, chaque ℓt\ell_t étant un mot de Lyndon et ℓ1≥ℓ2≥⋯≥ℓm\ell_1 \ge \ell_2 \ge \dots \ge \ell_m
  • Facteurs de longueur 2, 3, 4 et 5 : Fac2(w), Fac3(w), Fac4(w), Fac5(w)\mathrm{Fac}_2(w),\ \mathrm{Fac}_3(w),\ \mathrm{Fac}_4(w),\ \mathrm{Fac}_5(w)
  • Mots absents minimaux MAW(w)={aub∣au⪯w, ub⪯w, aub⪯̸w}\mathrm{MAW}(w) = \{ aub \mid au \preceq w,\ ub \preceq w,\ aub \not\preceq w \}

Ces quantités forment la signature élargie du mot.

3. Normalisation et représentation vectorielle
Chaque signature est écrite sous forme de vecteur numérique

v(w)=(n, Bord(w), p(w), e(w), 1prim(w), ∣periods∣, ℓLyndon(w), δcyclic(w), σ(w), ∣Fac2∣, ∣Fac3∣, ∣Fac4∣, ∣Fac5∣, ∣MAW∣, ∣SA∣)v(w) = \bigl( n,\ \mathrm{Bord}(w),\ p(w),\ e(w),\ \mathbf{1}_{\mathrm{prim}}(w),\ |\mathrm{periods}|,\ \ell_{\mathrm{Lyndon}}(w),\ \delta_{\mathrm{cyclic}}(w),\ \sigma(w),\ |\mathrm{Fac}_2|,\ |\mathrm{Fac}_3|,\ |\mathrm{Fac}_4|,\ |\mathrm{Fac}_5|,\ |\mathrm{MAW}|,\ |\mathrm{SA}| \bigr)

où ℓLyndon\ell_{\mathrm{Lyndon}}​ est le nombre de facteurs de la factorisation de Lyndon, δcyclic\delta_{\mathrm{cyclic}} vaut 1 si la racine cyclique est égale à ww lui-même et 0 sinon, et les dernières composantes sont les cardinaux des ensembles de la table élargie. Le vecteur peut être optionnellement mis à l’échelle composante par composante afin que les comparaisons restent significatives entre mots de longueurs très différentes.

4. Distance et regroupement
Une métrique est définie sur l’espace de ces vecteurs. Le choix le plus simple et le plus transparent est une distance euclidienne pondérée après normalisation min-max de chaque coordonnée :

d(w,w′)=∑i=1mαi(v~i(w)−v~i(w′))2d(w,w’) = \sqrt{\sum_{i=1}^{m} \alpha_i \bigl( \tilde{v}_i(w) – \tilde{v}_i(w’) \bigr)^2 }

où mm est la dimension du vecteur élargi et les poids αi\alpha_i sont choisis de sorte que les caractéristiques structurelles (primitivité, bord, exposant critique, factorisation de Lyndon, mots absents minimaux) dominent la longueur et les cardinaux purs. Un regroupement hiérarchique ou un graphe des plus proches voisins est ensuite construit à partir de la matrice de distances obtenue. Puisque chaque coordonnée est un invariant pur de la combinatoire des mots, deux bruits proches sous ddd partagent nécessairement le même schéma de répétition, la même structure de bord, le même type de Lyndon et des ensembles de facteurs / mots absents similaires, indépendamment de toute réalisation acoustique.

5. Règles d’interprétation

  • Une petite distance signifie que les deux mots ont le même squelette combinatoire (même période, même hiérarchie de bords, même nombre de facteurs de Lyndon, ensembles de facteurs et de mots absents proches).
  • Une grande distance signifie que les mots diffèrent sur au moins un paramètre combinatoire fondamental de la table élargie.
  • La méthode classe donc les bruits par proximité combinatoire au sens de la table complète, et non par similarité phonétique. Toute validation acoustique ultérieure est extérieure à la méthode et n’est pas requise pour le classement lui-même.

6. Produit de la méthode
Le livrable final est une matrice de distances (ou un dendrogramme) accompagnée d’une courte liste de plus proches voisins pour chaque bruit, chaque voisin étant illustré par les valeurs des propriétés de la table élargie qui expliquent la proximité. Tous les calculs restent à l’intérieur du monoïde libre et n’utilisent que les fonctions classiques déjà définies pour les tableaux de bruits d’animaux. Ceci constitue la méthode générale complète adaptée à la table élargie. Elle n’utilise rien au-delà des propriétés de la combinatoire des mots qui ont déjà été tabulées.

⁂

Table élargie correspondante aux 15 quantités de la première méthodologie d’analyse de la réduction du bruit d’humanimaux à un mot fini w sur un alphabet fini :

La méthodologie élargie utilise 15 invariants, les 8 premiers ceux de la méthode réduite et les 7 suivants qui sont: taille d’alphabet + cardinaux des ensembles de facteurs de longueur 2 à 5 + cardinaux des mots absents minimaux et du suffix array.

PropertyFormula
WordAbeille — Buzz, Bzzz, Ane — Hi-han, Bélier — Bé, Bê, Bè, Bouc — Bé, Bê, Bè, Bourdon — Buzz, Bzzz, Canard — Coin-coin, Chat — Miaou, Maou, Ron-ron, Ksss, Sshhh, Lap-lap, Cheval — Tagada-tagada, Cataclop cataclop, Hiiii, Chèvre — Bê, Mê, Chien — Ouaf, Aou, Ahouahou, Wouf, Wuf, Wouaf, Wuah, Whaf, Whouaf, Slurp, Grrr, Chouette — Hou-hou, Uh-uh, Cigale — Crii crii crii, Cochon — Groin-groin, Gruîîî, Roiiirk, Gruik-gruik, Grouik grouik, Coq — Cocorico, Corbeau — Croâ, Coucou — Coucou, Crocodile — Clap, Dindon (et Dinde) — Glouglou, Dodo — Blèctre, Grenouille — Coââ-coââ, Coa, Croa Croa, Hibou — Hou-hou, Lapin — Tap-tap-tap, Lion — Roah, Roaaar, Raaah, Loup — Ouuuh, Aouuuuh, Mouche — Zzz, Moustique — Ziziziz, Mouton — Beeeee, Oiseau — Cuicui, Flapflapflap, Perroquet — Coco, Pic-vert — PicPicPic, Pigeon — Roucoul, Roucou, Rourou, Poule — Cotcot, Cotcotcodêêêt, Poussin — Pouicpouic, Sanglier — Groingroin, Serpent — Ksskss, Ssshhh, ssss, Tigre — Roar, Ahrrfff, Vache — Meuh, Crunch, Poot series — PootPootPootPootPootin, Prrrrt series — PrrrrtPrrrrtPrrrrtPrrrrutin, Thhhbbbt series —ThhhbbbtThhhbbbtThhhbbbtThhhbbboutin, Pffft series — PffftPffftPffftPffftPffftPfffoutin, Blaaaaat series — BlaaaaatBlaaaaatBlaaaaatBlaaaaaoutin
Alphabetalph(w) = { wᵢ | 1 ≤ i ≤ n }
Alphabet sizeσ(w) = |alph(w)|
Lengthn = |w|
BorderBord(w) = { w[1..k] | 1 ≤ k < n and w[1..k] = w[n−k+1..n] }
Border lengthπ(n) = max { k ∈ {0,…,n−1} | w[1..k] = w[n−k+1..n] }
Minimal periodper(w) = n − π(n)
Period setPer(w) = { p | 1 ≤ p ≤ n and ∀ i ≤ n−p, wᵢ = wᵢ₊ₚ }
Critical exponentce(w) = sup { |x| / per(x) | x ≼ w, x ≠ ε }
PrimitivePrim(w) = 1 iff ∀ d | n, d < n ⇒ w ≠ (w[1..d])ⁿᐟᵈ
Primitive rootρ(w) = w[1..per(w)]
Root(w)root(w) = ρ(w)
Minimal cyclic rootneck(w) = min { σᵏ(w) | 0 ≤ k < n }, σ(au) = ua
Suffix arraySAᵢ = start index of the i-th suffix in lex order
Lyndon factorizationw = ℓ₁ ℓ₂ … ℓₘ, each ℓₜ Lyndon, ℓ₁ ≥ ℓ₂ ≥ … ≥ ℓₘ
Factors length 2Fac₂(w) = { wᵢ wᵢ₊₁ | 1 ≤ i ≤ n−1 }
Factors length 3Fac₃(w) = { w[i..i+2] | 1 ≤ i ≤ n−2 }
Factors length 4Fac₄(w) = { w[i..i+3] | 1 ≤ i ≤ n−3 }
Factors length 5Fac₅(w) = { w[i..i+4] | 1 ≤ i ≤ n−4 }
Minimal absent wordsMAW(w) = { aub | au ≼ w, ub ≼ w, aub ≰ w }

1. Length functionL(w)=⌊log⁡10(w)⌋+1L(w)=\lfloor \log_{10}(w)\rfloor+1

or, more generally:L(w)=number of symbols of wL(w)=\text{number of symbols of }w

after the chosen encoding.

2. Border lengthBord⁡(w)=max⁡k<n(k×δ(pref⁡k(w),suff⁡k(w)))\operatorname{Bord}(w)= \max_{k<n} \Bigl( k\times\delta(\operatorname{pref}_{k}(w),\operatorname{suff}_{k}(w)) \Bigr)

whereδ(a,b)={1if a=b,0otherwise.\delta(a,b)= \begin{cases} 1 & \text{if } a=b,\\ 0 & \text{otherwise.} \end{cases}

3. Root of a wordp=n−Bord⁡(w)p=n-\operatorname{Bord}(w)

andRoot⁡(w)=pref⁡p(w)\operatorname{Root}(w)=\operatorname{pref}_{p}(w)

ifp∣np\mid n

(otherwise the word is considered primitive and its root is simply www).

4. Primitivity indicatorPrim⁡(w)=⌊11+∑k=1n−1δ(σk(w),w)⌋\operatorname{Prim}(w)= \left\lfloor \frac{1} {1+\sum_{k=1}^{n-1}\delta(\sigma_{k}(w),w)} \right\rfloor

This gives:Prim⁡(w)=1\operatorname{Prim}(w)=1

when www is primitive, andPrim⁡(w)=0\operatorname{Prim}(w)=0

otherwise.

5. Cyclic root (lexicographically minimal rotation)CyclicRoot⁡(w)=arg min⁡lex{σk(w)∣0≤k<n}\operatorname{CyclicRoot}(w) = \operatorname*{arg\,min}_{\mathrm{lex}} \{\sigma_{k}(w)\mid 0\le k<n\}

6. Lyndon factorization (Duval algorithm)w=L1⋅L2⋅…⋅Lmw=L_{1}\cdot L_{2}\cdot\ldots\cdot L_{m}

withL1≥lexL2≥lex⋯≥lexLmL_{1}\ge_{\mathrm{lex}} L_{2}\ge_{\mathrm{lex}} \cdots \ge_{\mathrm{lex}} L_{m}

and each LiL_i a Lyndon word.

The factorization is computed by Duval’s algorithm in linear time:O(n)O(n)

⁂

Seconde Méthodologie générale de comparaison des bruits d’animaux et des cinq bruits d’humanimaux analysés au moyen des seules propriétés de la combinatoire des mots

La comparaison est effectuée exclusivement sur les invariants combinatoires des mots tokenisés. Aucune transcription phonétique, aucun spectrogramme ni aucune donnée acoustique externe n’est utilisée. Chaque bruit est réduit à un mot fini ww sur un alphabet fini (l’ensemble des lettres apparaissant dans sa tokenisation). La méthode extrait ensuite un vecteur fixe de quantités classiques de la combinatoire des mots et utilise ces quantités comme coordonnées de comparaison.

1. Tokenisation canonique
Les traits d’union, espaces, ponctuations et diacritiques sont supprimés ou normalisés de sorte que chaque bruit devienne une unique chaîne de lettres. La chaîne obtenue est le mot ww. Cette étape est déterministe et est effectuée une seule fois pour chaque bruit avant tout calcul ultérieur.

2. Invariants combinatoires fondamentaux
Pour tout mot ww de longueur n=∣w∣n = |w|, les quantités suivantes sont calculées exactement comme définies dans les tableaux précédents :

  • Longueur L(w)=nL(w) = n.
  • Longueur de bord Bord(w)=max⁡{k<n:prefk(w)=suffk(w)}\mathrm{Bord}(w) = \max\{ k < n : \mathrm{pref}_k(w) = \mathrm{suff}_k(w) \}.
  • Période minimale p(w)=n−Bord(w)p(w) = n – \mathrm{Bord}(w).
  • Racine primitive Root(w)=prefp(w)(w)\mathrm{Root}(w) = \mathrm{pref}_{p(w)}(w) lorsque p(w)p(w) divise nn, sinon ww lui-même.
  • Exposant critique e(w)=n/p(w)e(w) = n / p(w) (ou 1 lorsque le mot est primitif).
  • Racine cyclique : le conjugué lexicographiquement minimal σk(w)\sigma^k(w).
  • Factorisation de Lyndon : la suite non croissante unique de mots de Lyndon produite par l’algorithme de Duval.
  • Indicateur de primitivité : 1 si e(w)=1e(w) = 1, 0 sinon.
  • Cardinal de l’ensemble des périodes (nombre de périodes qui divisent nn).

Ces huit quantités forment la signature du mot. Elles sont toutes calculables algorithmiquement en temps linéaire et sont invariantes sous les opérations classiques du monoïde libre qui préservent le type combinatoire d’un bruit (concaténation de blocs identiques, répétition pure, etc.).

3. Normalisation et représentation vectorielle


Chaque signature est écrite sous forme de vecteur numérique

v(w)=(n, Bord(w), p(w), e(w), 1prim(w), ∣periods∣, ℓLyndon(w), δcyclic(w))v(w) = \bigl( n,\ \mathrm{Bord}(w),\ p(w),\ e(w),\ \mathbf{1}_{\mathrm{prim}}(w),\ |\mathrm{periods}|,\ \ell_{\mathrm{Lyndon}}(w),\ \delta_{\mathrm{cyclic}}(w) \bigr)

où ℓLyndon\ell_{\mathrm{Lyndon}}​ est le nombre de facteurs de la factorisation de Lyndon et δcyclic\delta_{\mathrm{cyclic}} vaut 1 si la racine cyclique est égale à ww lui-même, 0 sinon. Le vecteur peut être optionnellement mis à l’échelle par la longueur afin que les comparaisons restent significatives entre mots de longueurs très différentes.

4. Distance et regroupement
Une métrique est définie sur l’espace de ces vecteurs. Le choix le plus simple et le plus transparent est une distance euclidienne pondérée après normalisation min-max de chaque coordonnée :

d(w,w′)=∑i=18αi(v~i(w)−v~i(w′))2d(w,w’) = \sqrt{\sum_{i=1}^{8} \alpha_i \bigl( \tilde{v}_i(w) – \tilde{v}_i(w’) \bigr)^2 }

avec des poids αi\alpha_iαi​ choisis de sorte que les caractéristiques structurelles (primitivité, bord, exposant critique) dominent la longueur. Un regroupement hiérarchique ou un graphe des plus proches voisins est ensuite construit à partir de la matrice de distances obtenue. Puisque chaque coordonnée est un invariant pur de la combinatoire des mots, deux bruits proches sous ddd partagent nécessairement le même schéma de répétition, la même structure de bord et le même type de Lyndon, indépendamment de toute réalisation acoustique.

5. Règles d’interprétation

  • Une petite distance signifie que les deux mots ont le même squelette combinatoire (même période, même hiérarchie de bords, même nombre de facteurs de Lyndon).
  • Une grande distance signifie que les mots diffèrent sur au moins un paramètre combinatoire fondamental (primitivité différente, longueur de bord relative à nnn différente, longueur de factorisation de Lyndon différente).
  • La méthode classe donc les bruits par proximité combinatoire, et non par similarité phonétique. Toute validation acoustique ultérieure est extérieure à la méthode et n’est pas requise pour le classement lui-même.

6. Produit de la méthode
Le livrable final est une matrice de distances (ou un dendrogramme) accompagnée d’une courte liste de plus proches voisins pour chaque bruit, chaque voisin étant illustré par les valeurs numériques des huit invariants qui expliquent la proximité. Tous les calculs restent à l’intérieur du monoïde libre et n’utilisent que les fonctions classiques déjà définies pour les tableaux de bruits d’animaux.

Ceci constitue la méthode générale complète. Elle n’utilise rien au-delà des propriétés de la combinatoire des mots qui ont déjà été tabulées.