recursal/Fanatic-Fandom huggingface dataset:
Gelt

the man of a thousand smiles. findommer of grom. will show feet if you've got the gold.

Canonically the most deserving of all characters in Total Warhammer. His victories are not only for his good, but that of the Empire.

## Deep Fan Canon

It's heavily implied, by multiple sources, that House of Tales was originally approved to make a Gelt Backstory. This fell through due to the German Government discovering House of Tales had stolen assets from the upcoming Limbo of the Lost game.

Gelt's VA for this was still used, but his lines were only slightly altered. If players insert the Mystery of the Druids disk upside down into the disk drive and load up Total Warhammer 2 with the Blood for the Blood God DLC installed, Gelt gains a new Voice Line while fighting Grom:

> *"The Pitza, return it to me!"*
>
>
Artie

Artie "The Prince" Vandali is known to be the more moderate brother for his charm on people and brains during business. He was a ruthless, sly, greedy man. Not only does he has little patience to those who wronged him and was demanding with wanting cash. He had three principles in friendship, with one must be honest, forgiving, and respectful.

Slick hair, a prominent nose and a smooth and jazzy voice. He looks dapper in a three-piece suit. Along with a trenchcoat, to hide his massive arsenal underneath.

One of the twins, Son of Nio "The King" Vandali. Artie's main scheme is to hijack trucks full of merchandise and then sell the goods through various outlets. The drivers are either paid off or intimidated into keeping quiet.

Artie almost never leaves his father side. Accompanying Nio Vandali almost everywhere he goes. From business meetings to a simple night out. Consistently learning and observing his father function in his daily life. So that one day, he may usurp the throne once the old man has finally croaked.
Sonicomics: What If?

*"Sonic: What If?" is a series of narrated AU (Alternate Universe) videos created by The Sega Scourge. The series tackles alterations to the canon of Sonic The Hedgehog - taking elements from the games, and asking "what if '\_\_' happened instead?" to create remixed scenarios. "Sonicomics: What If?" is an illustrated adaptation of this series, and serves to further expand the stories and characters presented there.*

**Sonicomics: What If?** is a Webtoon series created by The Sega Scourge as supplementary material for *Sonic: What If?*, updating irregularly with chapters set in the various timelines depicted in the series. Various artists are brought together to tackle each chapter, with writing done by Scourge with input from the rest of the team on any given story. These chapters are canon looks into what goes on outside of the scope of the main episodes, exploring character dynamics and events not directly tied to the core narrative.

The Webtoon can be found **here**.

## Chapters

*retrieve a sample of venom from a bewildering, endangered beast that secretly dwells on the Hex.*

*However, Zeena's eye is set on something other than some paltry venom. What could she be hiding?*
* Mannix (Main Artist)
* CodeSonicTheHedgehog (Cover Artist + Bonus Illustrations)
* Fiona/FunkyFizzz (What Iffy?)
Archie De Marchi

Archie De Marchi was employed to play the part of the Syndicate's accountant. Taking perfect documentation of the Syndicate's accounts and a literal building full of pictures with their subject's doing anything incriminating.

Archer De Marchi was not someone to underestimate, and his ruthlessness ensures that no one ever thinks about screwing with him. Beneath the fancy suits and hundred-dollar haircut is a cold-blooded psychopath. He rarely ever leaves his penthouse, and on the rare chance that he does, it's going to go bad for someone.

Donning a chalk-striped, three-piece suit. Always seen carrying a Martini and a Cuban Cigar. Hidden underneath his jacket, a loaded .45 pistol with the hammer cocked. He wears a plaid tie with a white dress shirt.

De Marchi controls all the extortion, blackmail, and money laundering for the Vandali Syndicate and is Nio Vandali's trusted lieutenant, he's practically a genius when it comes to numbers. He can launder money so thoroughly that everyone, even in the eyes of the law, he'll insist that every cent is legit.
The Great Feud

The Great Feud started long ago when ancestors of the Sabini and Volizi families reached and rose to a prominent power and discussed the futures for their people. The two prominent families strongly disagreed with many ideologies and views of the world. The Sabini family insisted that Kintish-kind should explore and exploit what the Creator has given them. Taking advantage of the resources around them and seizing more from other civilizations. Whereas the Volizi family insisted that they remained isolated and traditional, no need to bother other civilizations for their goods or wealth. After a string of insinuating arguments it quickly escalated into an all-out war. Going from royalty to criminal enterprises, with each relative on both sides swearing from birth with the elimination of the other. Nowadays, both families are at their peaks. The Sabini family has become a true criminal empire with the brash attitudes and pure hatred for the Volizi family and those who'd dare oppose them. Forcibly enlisting local combatants to join their ranks and expand their reach across the world. A hyper-militarized criminal corporation, they'll turn entire cities upside-down if it means the elimination of few Volizi relatives. The Volizi family has become a hidden business, with the big and burly thugs acting as assassins. Hiding within the shadows that the Sabini family has cast all over the world. A criminal empire nonetheless, both sides have grown to hate each other more as time passes.

Sabini Bandits and Volizi Gangsters fight daily with one simply laying eyes on the other, it could spark an entire skirmish. Gun battles occur from it, local law enforcement will try and intervene but have no idea what they've stumbled onto. When simply put, law enforcement stumbles onto a family squabble between two powerful criminal syndicates battling until the other is completely wiped out. Special Task Forces are created to go after both families, but none were too successful enough to bring down entire networks. Suspects are too afraid of being taken by the Volizi or of being gunned down in an alleyway by the Sabini. Bandits and Raiders are often heavily armed and armored. Both sides having no conflict with themselves with law enforcement. Many first-respondents often get killed-in-action or on the line of duty.

The two families acknowledge their actions and often don't care about casualties or collateral damage. Full-scale battles to one-man targets, their fights are within reach of everyone. The poor souls that are either enlisted into the fight or somehow involve themselves with one side are already assumed dead. The cousin families, Salvini to Sabini, Vandali to Volizi. These two families fight each other with equal fury and intent as the main families. Low-scale skirmishes, compared to full-scale battles. Shootouts often occur, with casualties on both sides. Whether if it's associates, they are sworn to murder each other in the name of their relatives and family pride.
Giuseppe Gaston

Gaston has an intuitive understanding of the consumer's mind, making him a brilliant ad man, attracting and retaining major clients, commanding respect from those above and below him, being courted by rival firms, and generally living the picture-perfect life of a successful businessman.

Giuseppe Gaston's style is sharp, suave, and subtly powerful. The collar of his crisp white dress shirt stands at attention, his suit is slim cut, his tie saber-straight. Gaston generally sticks to a monochromatic color scheme, he doesn't need color to make a splash. His basic grey or blue suit, white shirt, dark tie and hat remain even toward the end of the decade when such a look was in decline.

A brutal and efficient middle man who made deliveries between criminals and enforced the black market's policy of trust through “fear and the threat of violence.” The perfect middle man for an imperfect world. He could not be bribed to alter a transaction. If either party involved attempted a double cross, he killed both sides. Giuseppe Gaston was brought in by Nio Vandali himself, once representing the Vandali's cousin family, the Volizi Family, now working under the same banner, different authority. Gaston represents the embodiment of a perfect middleman. He works solely for the Vandali Syndicate and aims to work his way into exploiting the rival or allied crime syndicates for the Vandali's and his own benefit.
ΑON

αON是一个序数记号,它采用α(a#b#c#...)的形式,其中#为任意合法分隔符

### part1:逗号和分号

#### part1.1:到I

αΟΝ在只有正常的逗号时,和φ没有什么差别

α(n)=ω^n α(1,0)=ε0 α(1@w)=SVO

我们可以用各种方法扩展,例如:

α(1@(1,0))=LVO α(1,,0)=α(1@1@…)=BHO

但他们遇到了一个难以企及的高度——Ω,

这是一个前面的递归难以企及的高度,我们不得不请一个分号下来:α(1;0)=Ω

随后,事情就十分正常的运行了起来——

α(α(1;0)+1)=Ωω

α(1,α(1;0)+1)=ε(Ω+1)

α(1,,α(1;0)+1)=ψ\_1(Ω\_3)[BOCF]

α(1;1)=Ω\_2 α(1;ω)=Ω\_ω

所以,α(1;1,0)合理的便是min a=α(1;a),即OFP

随后,α(1;α(1;1,0)+1)=Ω\_(Φ(1,0)+1) α(1;1,1)=Φ(1,1)…

事态非常平稳的运行了下去,直到I

似乎我们又不得不请一个分号下来,

但I其实并没有Ω那般的绝对统治地位,Φ(…)到I的过程,我们在φ到Ω时就已经经历过了。我们用了什么？(1;0)。

所以,我们请下那个(1;0)的操作:α(1;1,\_(1;0)0),既是I。
Agony Alley!

This needs a main image

***"Agony Alley*!"** is the second segment of the fifth episode of **Yabba-Dabba-Dinosaurs**. It is known as 5B.

## Premise

Pebbles and Bamm-Bamm take a shortcut through a mysterious part of the Crags, rumored to be home to terrifying and dangerous dinosaurs, but it’s not what you think!

## Characters in episode

* Bamm-Bamm
* Pebbles
* Dino
* Wicky
* Bernie (only appearance)
* Hobart (only appearance)
* Sully (only appearance)

## Objects in episode:

* Rock tablet
* Milk and Cookies (only appearance)

## Animals in episode:

* Snorkasaurus
* Pterodactyl
* Turtlesaurus
* Batasauruses
* Tyrannosaurus
* Lizardsauruses

## Cast

* Jessica DiCicoco as Pebbles
* Ely Henry as Bamm-Bamm
* Grey Griffin as Wicky
* Eric Bauza as Dino, Hobart, Sully Bernie

## Production Notes

* This episode was produced in 2017.
* Production Code: *Add here!*
Papa John

A Necron Tomb lord currently residing on Holy Terra. Attempting to kill Shammy.

A powerful boss in Mechanicus and creator of the Special Garlic Sauce you get with your Pitza. May switch out some pepperonis on his pizzas with thin slices of Carolina reaper peppers occaisionally.

## He Has Control

He Has Control He Has Control He Has Control He Has Control He Has Control He Has Control He Has Control He Has Control He Has Control He Has Control He Has Control He Has Control He Has Control He Has Control He Has Control He Has Control He Has Control He Has Control He Has Control He Has Control He Has Control He Has Control He Has Control He Has Control He Has Control He Has Control

> I am always there, ever connected, always watching. I know all on this wiki.
>
>

He Has Control He Has Control He Has Control He Has Control He Has Control He Has Control He Has Control He Has Control He Has Control He Has Control He Has Control He Has Control He Has Control He Has Control He Has Control He Has Control He Has Control He Has Control He Has Control He Has Control He Has Control He Has Control He Has Control He Has Control He Has Control He Has Control
Pierre Dupeux

Pierre Dupeux runs the moonshine business. Descended from swamp people, Dupeux uses his family's moonshine experience to run the hooch through a distillery. He keeps his stills well hidden deep in bayous and only allows his trusted drivers access to the locations. He's strong-armed local liquor stores and bars into selling his moonshine and even ships it out to nearby towns.

A tough and no-nonsense man of few words, Dupeux has been described as 'not the sharpest tool in the shed, but certainly the bluntest' and a ruthless and detached operator. He advanced himself subtly, gaining his reputation while driving for Mr. Vandali.

Dupeux is often seen wearing a simple white dress shirt with a black tie, suspenders, pants and shoes to match. He is sometimes seen wearing a fedora hat to shadow his face.

Pierre Dupeux manages Bino Guerrieri's moonshine empire, knowing more routes and outsourcing the 'shine into different towns and counties, expanding the alcohol brand and spreading the word of potential clubs being opened under Bino Guerrieri's brand and name.
Aresians

Art by Meelowsh

**Aresians** are an alien species original to *Sonic: What If?*, debuting in the pilot episode of *Black Shadow: Exodus*. Not much is known about their species except for the fact that they fact that they are considered evil by Black Shadow, and are thus their leader is subjected to his intimidation and enslavement.

## Description

Aresians are humanoid aliens resembling jet-black skeletons, lit from within by coloured light that varies based on the individual. Their features vary depending on social class, but it is unknown whether this is due to a caste divide between subspecies or that the Aresians are capable of altering their shape.

Much information about them is unknown, such as the name and conditions of their home planet, but the Aresian Overseer measures time in 'duodecycles', and the technology on their world is sufficient enough to create a high-tech greenhouse for raising Black Fruit as well as chemicals for use in fertilizer. Concept art implies they have a military force, but the soldiers are yet to appear in the series proper. Black Shadow implied while talking to the Aresian Overseer that he and his people were self-serving, valuing their own lives above all else, which may hint at why he felt it necessary to subjugate them.

## Physiology

Common Aresians have large, three-clawed hands and two-clawed feet, with a heel-spur located on the back of the foot. Their bodies are somewhat top-heavy, with broad shoulders and bulky forearms, but their waists are thin, which gives them a somewhat insectoid appearance when combined with markings that can resemble either bones or plates of carapace. One is seen sporting horns, while the other has a longer skull that extends upwards and back, ending in a rounded point. Soldiers of this caste are seen wearing segments of armour on their limbs and helmets of two different designs, both sporting coloured visors that match their internal lights. Rather than cover their torsos with armour, the soldier Aresians wear grey cloaks with padded shoulders and a red gradient on their inner side.

Art by MeelowshRuling-class Aresians have notably differing physiology, with bodies that seem to naturally resemble armoured robes. The male ruler seen in concept art has four prehensile tendrils curling from his back and large, gauntlet-like arms, meanwhile the female ruler has two similar-looking tendrils in place of her normal arms as well as shoulders that curve upwards. Both ruling class Aresians have no visible legs, instead having conjoined lower halves like a dress. It is unknown how they move around, or what might be beneath their veils. The concept art 'Emperor' Aresian's design was used as the basis for the Aresian Overseer.

Art by MeelowshArt by Meelowsh

## Trivia

* According to the pilot episode, their species name is pronounced *a-ree-shun*.

## References

1. ↑ Black Shadow: Exodus (Pilot) *"If only your species valued the lives of others as much as their own."* ~ Black Shadow
Jasper Romanelli

Paranoid, ruthless, and vindictive, he won't let anyone stand in his way. Cautious with his words, suspicious of everyone around him. Armed with a powerful pistol of a large caliber, he'd sooner burn down an orphanage than divulge his secret recipes.

Tall and slender, Greying slick hair, somewhat wrinkled but elderly face. He classically wears a bigger sized tie with his suit. Wide and suspicious eyes but stoic facial expressions.

A top chemist, Romanelli turned his knowledge into cooking recreational drugs when he was hired to upgrade all aspects of Vandali's drug operation. A truly paranoid person, anything could set him off. The Vandali Syndicate employed him for his wisdom on the science and chemistry behind the sweet and saucy recipes for almost any drug mentioned in the world. Jasper prefers to work alone with only a selected few assistants. Never once divulged a single hint about his recipes, cutting out the tongue and chopping of the fingers of those who somehow learned or observed Jasper.
Hollis Demarco

Hollis was a loving, protective and righteous individual. He immediately would throw himself in harm's way and act as a shield in dangerous situations and was shown to have a firm belief in right and wrong. Defining himself as a leader of the Syndicate. Demarco took his role very seriously and devoting his life to his father's cause. As a result, he never left the Syndicate or developed a life outside of it.

An extremely resilience body, able to shrug off most physical impacts during combat. Tall and strong, he donned a typical dress shirt with suspenders and black slackers. Outside of his formal dresser, he wears plain clothes including a large sweater and a fancy trenchcoat. A short haircut near buzzcut.

Nio Vandali once worked with Hollis' father, Chi'Chi Demarco, the Demarco family were loosely affiliated with the Syndicate. Operating as a father-son operation, running legitimate stores and markets. Nio "The King" took notice and offered to turn his illicit businesses into legitimate income. Thus, the father agreed and offered Hollis to represent the Demarco family. Hollis was hesitant at first, but developed a belonging within the Syndicate, rising to power and building something of a reputation. He was a gentle giant, capable of ripping your arms off at one go. But would rather discuss it with a solid conversation. He's typically surrounded by his brothers, who act as his enforcers or bodyguards.
Phillip Ciccone

Ciccone ran a safety deposit service in which they stored incriminating documents, recordings, and photos on behalf of powerful clients such as corporations, criminals, and governments.

A reserved and menacing man. Well dressed in spiffy and tailored suits, he's developed some kind of OCD to keep everything neat and tidy. Ciccone never speaks, hence his nickname. The infamous way of how he got his nickname is that his victims are often left behind with a missing mouth or tongue.

Dressed in a spiffy tailored suit, often times it'd be a plaid suit and slicked hair pulling his hair back revealing his strangely menacing widow's peak. Tall and beefy. Ciccone is more known for his silence.

Ciccone works with Alan Thibodeaux, operating a series of safehouses with dozens of gangsters consistently surrounding each location to safeguard the warehouses. Ciccone works as Thibodeaux's enforcer, dealing in the clean ups and mop ups of the poor sad saps that end up in the wrong side of Archer De Marchi.
Roméo Brasseur

Brasseur was straightforward, obedient, and silent soldier who does not question orders, and follows his objectives thoroughly and with sophisticated professionalism. Roméo rarely speaks, and the few jokes or comments he makes come from his dark style of humour. Nomad also has a strong sense of determination to complete his tasks without mistakes. Roméo does not allow emotions to alter his opinion on objectives, and follows them with a strict sense of discipline.

He's often seen in a open-buttoned cubavera with a white t-shirt underneath, grey slacks and black shoes. He proudly wears a golden necklace and reveals the heavily tattooed sleeves he dons on his arms. Affiliation tattoos peaking out from his collar. Slicked, jet-black hair and round-eye glasses. Known for his burly heavyweight body. A true behemoth.

Brasseur once worked with a partner in a bail bonds company, operating as a bounty hunter retrieving fugitives. He was fired due to his unnecessary violence applied to fugitives who resisted, beating them profusly and viciously. The Vandali Syndicate had the bail bonds company burned down due to be affiliated with a rival of theirs. Brasseur worked for the highest bidder, graciously obliging to find work that accepted him and paid him. He works under Grégori Babineau who originally put him out of work. He was then employed and hired by Babineau. He collects only on the Syndicate's instruction, operating as something of a bodyguard as well for Grégori Babineau's personal security.
Alan Thibodeaux

Alan Thibodeaux is in direct contact with Archer De Marchi, Thibodeaux consistently informs Archer De Marchi on the updates of each important asset whose palms need greasing or exposure is required. Thibodeaux often has his bagmen to deposit money or pictures across a network of safehouses.

A soft-spoken, forked tongue speaking man. Thibodeaux was noted to be a serious and unemotional man, which allowed him to be effective in his job as the main operator behind most blackmail operations.

His hair combed back, prominently wearing thin-clothed suits. The scarf asserting his dominance, wrapped around his neck and dangling the banner-like ends to make himself comfortable. He prefers to sit down when speaking with his "associates".

If you're a city official, Thibodeau knows every dirty thing you've ever done, and he's got the pictures to prove it. Using a well-oiled system of bribery and blackmail, The operation is complex, involving dead drops, bribes, and round-the-clock surveillance to make sure no one suddenly decides to talk.
Bino Guerrieri

Bino Guerrieri's father, Aino Guerrieri, worked as a leg-breaker and making collections for a sketch bail bonds agency. Often bringing along Bino during his job, Bino took notice and became invested into his father's job. Aino brought Bino one time when the boy suddenly snapped after a worker disrespected his father. The worker was found boneless in a trunk of a car. He got into bootlegging and moonshining when he was a teenager, learning routes and working as a driver. Aino offered Bino to the Vandali Family, they graciously obliged.

Bino was a short-fused psychopath who ran moonshine and protection rackets, Legend has it that this butcher's old man cultivated Bino's particular tastes. Aino Guerrieri worked as muscle for the syndicate and was rumored to have taken his boy out on jobs. When the kid started showing an aptitude for the slice-and-dice end of the work, Bino Guerrieri was brought into the organization accordingly.

A strong jaw-line, donning a three-piece suit. He wears no jewelry, but he hides his full-body tattoos. Damascus designs from shin to collar. The cold-beady, shark-like eyes are meant to make his victims pledge their information willingly.

A reputation equal to his father's. Bino Guerrieri quickly went to work taking over the family business, slinging 'shine, as to even offer it to his victims before he kills them. Although Bino drinks his moonshine like a fish, he's never hungover or drunk enough to not function or continue his job. Still remaining fresh in his high-society suits.
Grégori Babineau

Having gotten his start through an extortion racket at a trainyard, he sided with the Vandali in the war effort against their sworn enemies. As a reward for his loyalty, Babineau was given the waste management and gun-running rackets. This stoic sociopath gives single chances only.

A firey-tempered but patient man. Babineau is more of a listener than a talker. Softly speaking to those in his circle and often conniving with his fellow devils. Once he's assigned a job, he's typically very efficient and productive. Babineau runs around like a "factory-foreman" consistently shouting or barking orders at his workers to complete certain tasks. A very commanding man, his presence alone could make a man quiver in his boots.

A stylish and old-fashioned outfit, Babineau dons a white dress shirt with a sweater over it. Finally, an overcoat to hide his armada of weaponry. Pince-nez glasses and a devilish goatee. Kneed suit pants and a pair of comfortable loafers/oxfords to match his overcoat.

The Vandali Syndicate, employed Grégori Babineau to manage their rackets. (Gun-running and Waste Management.) Babineau entrusts a multitude of enforcers to handle the day-to-day operations, the man walks around with his sons who act as his bodyguards. Consistently, selling his weaponry from redneck gun-nuts to potentially dangerous militants in either the domestic woods or the deep jungles of the Congo. Babineau's relations with the Haitian Gangs, affiliated him with African War-lords.
Tengu

The greatest, most interesting, balanced, and exciting ship in EvE online.

The Tengu is a strategic cruiser that focuses on efficiently reducing the fun of other EvE online players have through it's simple yet effective design. The Tengu itself casts an aura of misery that affects an entire system. Upon attempting to engage the Tengu, the pilot will invariably flee like a dirty rat, off to god knows where to heal off any damage done by lesser ships.

Mandalore was so disaffected by this aura that he declared unconditional and total war against all Tengu pilots, past, present, and future.
长原始序列

长原始序列，是原始序列的一种扩展

## 规则 (102888的解释, 没有形式化, **不是原版**)

* 首先, 形如[c](0,a1,a2,a3,a4...an) 的东西被称为一种长原始序列. (原始数列中每个数都是自然数, 包括方括号里面的数)
* 然后, 找到最右边的项, 就记为an
* 若an=0, 这样展开: [c](S,0)=[c'](S), S为任意序列 (包含空序列)
* 若an≠0, 将目光投向an前面的那个数, 就是an-1
	+ 若an-1≥an, 则再向前找an-2, an-3...a1, 0. 直到那个数小于an. 记录找到的那个数为k
	+ 记找到的那个数k和它右边的 (除去an的) 所有东西为S1, 左边的所有东西为S2
	+ 记an-k-1=i
	+ 然后这么展开: [c](S2S1an)=[c'](S2S1S1,1S1,2...S1,c), 其中S1,p是S1的每一项加上p\*i的值
	+ (从这里可以看出, 若k=an-1, i=0, 也就类似于原始序列了)
* c'可以等于c, 也可以是c+1, 还可以是c2, 但**一旦确定, 就必须统一,** 不能一会c'=c, 一会儿c'=c+1这么搞
* 最后的输出值就是中括号中的值
The G Versus G Debate

Over the course of mankind's journey forward through history, many dilemmas and debates have surface that have caused discourse and fights. None have been more divisive, however, than the GvG debate of the PST Podcast group. The GvG debate is a thought experiment that is quite simple. Who would win: An American Grizzly Bear (*ursus arctos horribilis*) or a Silverback Gorilla (*gorilla gorilla*)? While seemingly benign, these two unmet animal species have created a dilemma that has caused nothing less than serious philosophical debate and an all out civil war. The future shows no sign of a resolution to this debate, and this wiki will play host to it as well.

## The Signatories

Below here will be two sections. In each, any soul who wishes to throw in their support for a side of the battle may do so.

### Those in Favor of the Silverback Gorilla, Sign Below Here

* Booti\_Boi69
* Rednose
* A Filthy Scrub
* Matkingos
* Example
* Example
* Example
* Example
* Example
* Example
* Example
* Example

### Those in Favor of the Grizzly Bear, Sign Below Here

* Enginseer Pepsicus
* Uchla
* Haruspex
* Ω
* TeeCee
* Chris
* Me
* Hawaiian Shirt
* Example
* Example
* Example
* Example

## Arguments for Gorilla

ha ha big monke

Anyone who even considers the Grizzle Bear for a second in this fight may just be an ape themselves.

Gorillas:

* Have opposable thumbs
* Can carry weapons
* Has a grip strength of over 800lbs, could rip a grizzlies jaw in half
* Can throw rocks and sticks
* Can throw their own excrement
* Have far better directional mobility than a Grizzle Bear (Backwards and left to right)
* Are better climbers than Grizzle bears
* Come from societies with concepts like war and genocide
* Are far smarter than Grizzle bears
* Could easily sock a bear in the jaw with their big fists
* Could probably use a gun if given one (which a bear could not)
* Have the support of the atheists
* ha ha big monke
* Can batista bomb the Grizzly {{cite}}
* Can suplex the Grizzly {{cite}}
* Gorilla Munch is better than Honey Smacks

## Arguments for Grizzle Bear

* Grizzly bears are far larger than gorillas, and posses greater speed.
* When in danger they call for their older cousins the kodiak and polar bears to kill anything in their path.
* Their honed claws are already the ultimate weapon for this engagement
* Can bitch slap away any grapple attempt with the aforementioned claws
* Generally resistant to small and medium caliber arms
* Can take more shots that 50 Cent and John Paul II put together
* Shit in woods
* The size, speed, and strength disadvantage is insurmountable for the Gorilla
* Can just knock down the tree
* Brutally cunning
* Cunningly brutal
* Yogi Bear > Grape Ape
* You cannot outrun the bear, you must outrun those around you and sacrifice your slowest companion
* not the craw THE CRAW
* 100% Made in America Keratin blades folded over 1000 times can cut clean through gorilla armor
* Wrestling's focus on showmanship overvalues "flashy" moves that leave wide, easily exploitable openings.

## Numerical Comparison

 Female Weight Range
 Run/Sprint Speed
Tito Di Virgilio

Tito seems to have a sociopathic, or at least extremely detached personality; throughout the series he kills a large number of people, though of course under orders. He was famed for his explosive temper, quick reflexes and brute physical strength. However he can be described as watchful, taciturn, ruthless and unswerving in his loyalty to the Vandali Family.

A traditional outfit, a tuxedo shirt with a windsor-knot tie and a vest with a coat. A unique but garden variety of outfits. Wearing classical suits out of dear respect for his own family that was wiped out by Sabini Bandits. He's typically known to be big and burly, but a gentle giant.

He's a Grade-A psycho and one of Bino Guerrieri's favorite people. If you can't pay up, Tito and his bone saw are the last things you'll see. Working both loan sharking and protection rackets keeps him busy, doling out high interest loans to people down on their luck, and when they can't pay up. They send out the beat down crews. Surrounded by gangsters, the psycho likes to remain isolated in his meat factory chopping away at cow or human carcasses and grinding them together sometimes and sells the meat packed and refrigerated for the grocery store.
Hervé Tourangeau

A well-known judge, Hervé Tourangeau is heavily crooked out of the public eye and is the syndicate's most important political asset. He's a conservative judge who upheld old Hessian views of Kintish supremacy. He's been passing laws that swing toward the Syndicate's benefit in exchange for personal protection and monetary gain.

An intelligent, ambitious, cunning sociopath. A highly opinionated and callous personality. He was quite a social climber, well-respected for his wealth, intellect and so-called ambitions. However, underneath it all, he was a cruel, malicious and arrogant man.

Outside of his judge gown, he wears a chalk-stripe pinstriped suit with a polka-dot tie and long pointed dress shirt. Along with a large tan overcoat, pomade pulling his hair back with cigarette emitting off of him. Mature and ripe for a winkly face like a raisin. A dashing but elderly gentleman.

The Syndicate encountered Tourangeau, when he was a spokesperson for a local hate group. Nio Vandali took notice of how Tourangeau presented himself and having similar beliefs as him. Nio took him under his wing and funded his campaign to be a County Judge, Tourangeau's career took off from there. Tourangeau was able to develop tight relations with the government, making himself to be a known and well-respected Judge.
User102888的序数折叠函数

User102888的序数折叠函数，简称1OCF，是一个不使用ω, Ω之类的序数折叠函数。此序数折叠函数旨在让更多人更直白地了解Hydra。

## 第一部分规则

1OCF的第一部分只需要用到自然数, ψ和ψ1。[a]表示基本列的第n项。#中可以为加法运算和任意外包，@为一个“函数”。

什么为一个"函数"呢? 形如ψb(....)的东西为一个"函数"

* ψ(0)=ω
* ψ0(n)=ψ(n)
* ψb(@ n+1)[1]=ψb(@ n)

* ψb(@ n+1)[a+1]=ψb(@ n)+ψb(@ n+1)[a]

* ψ(β)=ψ(β[α])，此时β为极限序数。
* ψ(#ψ1(0))[1]=ψ(#ψ(0))
* ψ(#ψ1(0)[a+1])=ψ(#ψ(#ψ1(0)[a]))

* 通俗地来说，ψ(n)=ωn+1（n不可为极限序数），ψ(@ n+1)=ψ(@ n)·ω

## 第二部分规则

### 等级比较

* 设ψx(n)和ψy(n)，其中x和y可以是极限的，也可以是后继的。
* 若x>y，则lv(ψx(n))>lv(ψy(n))
* 若x=y，则lv(ψx(n))=lv(ψy(n))
* 若x<y，则lv(ψx(n))<lv(ψy(n))

### 展开规则

设<...>为等级大于等于ψb+(0)的东西。

* 带下标的函数必须嵌套于不带下标的函数内部，带n+后继下标的函数必须嵌套于带n后继下标（或更大）函数内部。

* <ψb+(0)[1]>=<ψb(0)>

* ψb(<ψb+(0)[a+1]>)=ψb(<ψb(<ψb+(0)[a]>)>)
UNOCF

UNOCF，全称Username‘s ordinal collapsing function(用户名的序数坍缩函数)

这是一次使OCF类型的符号与UNAN(用户名的数阵)更紧密地匹配的尝试。

接下来的很多内容大多是非正式的，尤其是在更高层次上，因此这里的任何帮助都值得赞赏。

ψ(0)=1

ψ(α+1)[n]=ψ(α)[n]

ψ(α)[n]=ψ(α[n])（其中α有ω的共尾度）

很容易看出

ψ
(
α
# )

ω
α

{\displaystyle \psi(\alpha)=\omega^\alpha}

现在我们需要思考一些所谓的"共尾度"——基本上，它的工作原理是这样的：任何一个单一的基数（ω=ψ(1)和Ω在早期部分）有等于自己的共尾度，0和后继数有0的共尾度。α+β、α\*β和α^β有等于β的共尾度（除非β是0，在这种情况下α+0有α的共尾度，其他有0的共尾度）。ψ(0)有0的共尾度，ψ(α)对于除了0之外的α有ω的共尾度。

为具有Ω共尾度的序数定义FSes，最好把它们看作是Ω的函数即f(Ω)的输出。例如，Ω^(Ω2)=f(Ω),其中f定义为f(α)=Ω^(Ω+α)，这基本上与普通的FSes相同，但在最后Ω[n]而不是ω[n]。

然后我们可以说，如果一个序数通常有Ω共尾度，那么ψ(α)[0]=ψ(f(0))，ψ(α)[n]=ψ(f(α[n-1]))

一些例子：
Howard Carini

Howard Carini was a political expert who manipulated political careers. He acted as a mercenary who drove politicians to the apex of power or destroyed their careers. His tactics ranged from staging media events to assassinating the competition. He was said to groom his clients for years, deciding their education, careers, and even their family. It was said that he single handily responsible for the rise and fall of some of the world´s most influential politicians. And Carini is in charge of grooming politicians and bigwigs to use for their advantage, established ties to various influential figures including politicians, lawyers, bankers and merchants.

Howard Carini was a patient, cold, duplicitous, cunning, and ruthless politician that knows exactly how to take what he wants. Almost machine-like in his approach, he was known to be "extremely effective at what he sets his mind to" Displayed as a power-hungry man with the skills and the resources to match, his quest for power and vengeance leads him to break old alliances and trample on and destroy those that stand in his way. He is even willing to kill those who become a threat. He was a more than capable political maneuverer and can act warm, jolly and caring to people to gain their trust. He has no qualms of killing people or ruining their lives and careers if it serves his goals.

He was always seen to have a white dress shirt with his sleeves rolled up. Wearing suspenders with no tie. Black dress pants and flashing oxford shoes. He wears no jewelry or tattoos.
M记号

M记号, 是由一位大佬test\_alpha0创造的记号, 它的规则较为简单又不失强度.

规则
--

* 对于两个复合项A1+A2…+An和B1+B2…+Bn,先比较A1和B1的大小,若A1=B1则删除它们,继续比较A2和B2的大小…这样一直比下去,如果先出现哪一方没有项了则哪一方小.
* 对于两个单项A1(A2…(An))和B1(B2…(Bn)), 则先比较A1和B1的大小, 若A1=B1则删除它们,继续比较A2和B2的大小…(即从外向内比较大小)这样一直比下去,如果先出现哪一方没有项了则哪一方小.
* 对于两个不是由加号连接的项X,Y在X+Y中,若X<Y则立即删除X

#### 若C=M(0)

* 找到紧包着C的p(.)层,组合成一个项A
	+ 比如p(p(M(0))), A=p(M(0))
	+ 再比如p(p(M(0)+M(0))), A=p(M(0)+M(0))
* 找到紧包着A的p(.)层,把A换成M(0),得到一个项B
	+ 比如p(p(M(p(M(M(0))+M(0)))))
	+ A=p(M(M(0))+M(0)), B=p(M(M(0)))
* 再比较A和B的大小
	+ 若A>B就需要补层, 补层时,直到满足A=B时才停止
	+ 若A<B就穿过这层,继续向外寻找合适的层
	+ 若A=B就把A替换成找到的那层及它所包含的东西, 替换n次
* 典例分析1
	+ p(p(M(0)+M(0)))
	+ A=p(M(0)+M(0)), B=p(M(0))
	+ 因为A>B,需要补层,就这样补: p(p(M(0)+p(M(0)+M(0))))
	+ 此时A=B=p(M(0)+M(0))
	+ 可以直接迭代了: p(p(M(0)+p(M(0)+…p(M(0)))))
* 典例分析2
	+ p(p(M(M(p(M(0)))))))
	+ A=p(M(0)), B=p(M(M(M(0))))
	+ 因为B过大, 导致A<B,所以跳过这一层,把目光投向外面的p(.), 此时B=p(M(0))
	+ 把A替换成整个式子,替换n次: p(p(M(M(p(p(M(M(…p(p(M(M(0)))))))))))))))

## 简略的强度分析

### BHO以下

* p(0)=1
* p(p(0))=ω
* p(p(p(0)))=ωω
* p(p(M(0)))=ε0
* p(p(M(0))+p(M(0))) = ε1
* p(p(M(0)+p(0))) = εω
* p(p(M(0)+p(M(0))) = ζ0
* p(p(M(0)+p(M(0))+p(0))) = ζω
* p(p(M(0)+p(M(0))+p(M(0)))) = φ(3,0)
* p(p(M(0)+p(M(0)+p(0)))) = φ(ω,0)
* p(p(M(0)+p(M(0)+p(M(0))))) = Γ0
* p(p(M(0)+p(M(0)+p(M(0))))+p(M(0)+p(M(0))+p(M(0)+p(M(0))))) = Γ1
* p(p(M(0)+p(M(0)+p(M(0))))+p(M(0)+p(M(0)+p(M(0))))) = φ(1,1,0)
* p(p(M(0)+p(M(0)+p(M(0)))+p(M(0)))) = φ(2,0,0)
* p(p(M(0)+p(M(0)+p(M(0)))+p(M(0)+p(M(0))))) = φ(1,0,0,0)
* p(p(M(0)+p(M(0)+p(M(0)))+p(M(0)+p(M(0)+p(0))))) = φ(1@ω) = ψ(ΩΩω) = SVO
* p(p(M(0)+p(M(0)+p(M(0)))+p(M(0)+p(M(0)+p(M(0)))))) = ψ(ΩΩΩ) = LVO
* p(p(M(0)+p(M(0)+p(M(0)))+p(M(0)+p(M(0)+p(M(0)))+p(M(0))))) = ψ(ΩΩΩ+1)
* p(p(M(0)+p(M(0)+p(M(0)))+p(M(0)+p(M(0)+p(M(0))+p(M(0)))))) = ψ(ΩΩΩ2)
* p(p(M(0)+p(M(0)+p(M(0)))+p(M(0)+p(M(0)+p(M(0)+p(0)))))) = ψ(ΩΩΩω)
* p(p(M(0)+p(M(0)+p(M(0)+p(M(0)))))) = ψ(ΩΩΩΩ)
* p(p(M(0)+M(0))) = ψ(εOmega+1) = ψ(ψ1(0)) = BHO
四则运算

四则运算是指加法、减法、乘法和除法四种运算。

## 基本定义

* **加法**：把两个数合并成一个数的运算。
* **减法**：在已知两个加数的和与其中的一个加数，求另一个加数的运算。
* **乘法**：求两个数乘积的运算。
	+ (1)一个数乘整数，是求几个相同加数和的简便运算。
	+ (2)一个数乘小数，是求这个数的十分之几、百分之几、千分之几……是多少。
	+ (3)一个数乘分数，是求这个数的几分之几是多少。
* **除法**：已知两个因数的积与其中的一个因数，求另一个因数的运算。[1]

### 一些例子

* 1+=2, 2+=3, 3+=4, 4+=5, 5+=6, 6+=7, 7+=8, 8+=9, 9+=10, 10+=11...19+=20...99+=100...

## 加法和减法

### 加法的公式

* a+1=a+
* a+b+=(a+b)+ (通俗地来说, a+b=a++...++(共b个"+")

## 乘法和除法

### 乘法公式

* a×1=a
* a×b+=a+a×b
大数列表

简介
--

这是一个有关各种有限数\无限数的列表, 部分大有限数来自贴吧网友自创.

## 有限数部分

### 层级0 (0~1)

* 零 0
* 无穷小 10-∞
* Googolminex 10-10100
* 纳 10-9
* 微 10-6
* 忽 10-5
* 丝 10-4
* 毫 0.001
* 厘 0.01
* 分 0.1
* 四分之一/Quarter 0.25
* 一半 0.5

### 层级1 (1~10000)

* 一 1
* 二 2
* 三 3
* 四 4
* 五 5
* 六 6
* 七 7
* 八 8
* 九 9
* 十 10
* 二十 20
* 百 100
* 野兽之数/六嗨了之数 666
* 千 1000

### 层级2 (10000~10100)

* 万 10000
* 兆(现代) 1000000
* 亿 108
* 十亿(Billion)/吉 109
* 万亿/兆(古代)/Trillion/太 1012
* 亿亿/京/Byllion 1016
* 垓 1020
* 秭 1024
* 穰 1028
* 沟 1032
* 涧 1036
* 正 1040
* 载 1044
* 极 1048
* 恒河沙 1052
* 阿僧祗 1056
* 那由他 1060
* 不可思议 1064
* 无量（万进） 1068
* 大数 1072

### 层级3 (10100~1010100)

* 古戈尔 10100
* Double/JavaScript Number的最大值 21024≈1.79\*10308
* 古戈尔弓 10100000
* 反物质维度的数字上限 ee9 (= 10^10^9)
* Trialogue 101010
* 不可说不可说转 107\*2^122≈103.72e+37

### 层级4 (1010100~10↑↑10)

* 古戈尔普勒克斯 1010100=E2#3
* 古戈尔普勒克斯弓 1010100000=E5#3
* Tetralogue 10101010=10↑↑4
* 古戈尔度普勒克斯 101010100=E2#4
* Pentalogue 10↑↑5
* 古戈尔特利普勒克斯 E2#5
* Hexalogue 10↑↑6

### 层级5 (10↑↑10~10↑↑↑10)

* Dekalogue 10↑↑10
* Icosalogue 10↑↑20
* 吉戈尔Giggol 10↑↑100
* 格兰戈尔Grangol E100#100=E2#101
* 吉戈尔弓 Giggolgong 10↑↑100000
* 特利特利 Tritri 3↑↑↑3
* Tria-teraksys E1#1#3=10↑↑↑3
* 葛立恒问题新上界 2↑↑2↑↑2↑↑9
* Tetra-teraksys E1#1#4=10↑↑↑4
* Deka-teraksys E1#1#10=10↑↑↑10
* 吉戈尔普勒克斯 10↑↑10↑↑100

### 层级6 (10↑↑↑100~10↑1000010)

* Hecta-teraksys E1#1#100=10↑↑↑100
* 格瑞戈尔 Greagol E100#100#100
* G1 3↑↑↑↑3
* 特利德特 4↑↑↑↑4
* Deka-petaksys E1#1#1#10=10↑↑↑↑10
* 特利盆特 5↑↑↑↑↑5
* 布戈尔Boogol 10→10→100=10↑10010

### 层级7 (10↑1000010~fω2(10))

* 小葛立恒数 f7
* 葛立恒数 G64
* Xkcd数 Ack(G64)
* 佛尔卡尔Forcal G100000=Forcal(1)
* 目前除序数增量外数字最大的增量游戏 K9e15 (当前纪录保持者:无尽的楼梯间(Endless Stairwell))
* 康威之德查特利 3→3→3→3≈GG27
* Force Forcal GG100000=Forcal(2)
* TREE3**的一个极弱的下界** AA(187196)(1)
* Suporcal Forcal(1000000)
* Megocal Forcal2(1000000)
* 德查特利 {3,3,3,3}
* 超德特 {4,4,4,4}

### 层级8 (fω2(10)~fωω(10))

* 盆塔特利 {3,3,3,3,3}
* 超盆特 {5,5,5,5,5}

### 序数超运算层级 (fε0(10)~fΓ0(10))

* Triakulus 3&3&3
* Ultralin 100U[100,100,...,100](共100个100)

### KPI层级 (fBHO(10)~fψ(ψI(I↑↑ω)(10))

* 序数增量的数字上限 ≥Hψ(Ω₂Ω)(3) (使用Buchholz的OCF)
* 鸟之记号U(3)
* Big Boowa {3,3,3/2} (存疑)
* SCG(13)
* Big Hoss {L,100}100,100 (存疑)
* Bukuwaha {L^X^X}100,100 (存疑)

### KPI以上层级 (fψ(ψI(I↑↑ω)(10)~fω1CK(10))

* BIGG 200?
* Goshomity {L2,100}100,100 (存疑)
* Big Bukukaha {L2,{L^X^X}100,100}100,100 (存疑)
* Tritar Tar(3)
* Loader数 D5(99)

### 不可计算层级

* Σ(1919)
* Ξ(106)

* Rayo数 Rayo(10100)
* Fish Number 7
* Garden Number

## 无限数部分

### 可数序数下

* ω
* \(\omega+1\)，序数后继

### 大基数或更高

参见
--

1. https://googology.fandom.com/wiki/List\_of\_googolisms，Googology 记号表
Team Hero (WI03)

## Team Hero

**Team Hero** was a team introduced in Part 1 of *What If Sonic Lost His Memory?*, formed in response to Neo Metal Sonic (posing as Doctor Eggman) threatening to take over the world. It is the counterpart to Team Sonic in the original *Sonic Heroes*.

## Description

After Sonic the Hedgehog was presumed dead following the events of the ARK incident, Shadow the Hedgehog took up his role in opposing Doctor Eggman's schemes, slowly earning the trust of Sonic's former friends. By the *Sonic Heroes* adaptation, Tails and Knuckles were willing to work with Shadow for the sake of stopping 'Eggman', and the three of them teamed up to take on the Egg Fleet. Though Tails treated Shadow respectfully in acknowledgement of his effort to atone for his past, Knuckles still took every opportunity to make verbal jabs at his expense, which Shadow ignored.

They worked well together despite their past differences, and were able to fight evenly against Team Dark Blue, which contained Sonic, revealed to be alive. Aboard the Egg Fleet, Shadow was able to access his Super form and grant his energy to Tails and Knuckles, giving them access to 'Super Shields'. Together, they were able to take down Metal Overlord and stop his takeover of the Eggman Empire.

In the wake of the battle, Team Hero were among the gathering looking to question Sonic on his behaviour since re-awakening, with Tails being the one to step forward and speak with him directly. Silver's appearance prompted the three members to attempt a fight in order to defend Sonic, but they were apprehended by Silver's telekinesis. By regretfully using Chaos Blast to break through his hold at the cost of harming the other teams nearby, Shadow was able to reverse the situation and apprehend Silver instead, where he was later interrogated. During the proceedings, Eggman caused the Final Fortress to rotate mid-air, sending Team Hero falling down to the surface.

After the Egg Fleet's crash, Shadow spent some time helping in the search for Sonic, but eventualy went his own way to find the Chaos Emeralds. He still relied on Tails by sending Silver to join his side of the operation, calling him and Knuckles 'real heroes'.
User102888的下降序数记号

User102888的下降序数记号 (User102888's Dropping Ordinal Notation), 简称1DON, 是一个使用Dropping思路的序数表示法.这个表示法预估特别强, 特别强.

首先, 我们把Ψ函数的下标记作n, Ψ0等价于Ψ

## 基础部分(n=0和n=1的子系统)

### n=0

* Ψ(0)=ω
* Ψ(k+1)[1]=Ψ(k)
* Ψ(k+1)[a+1]=Ψ(k)+Ψ(k+1)[a]
* Ψ(β)=Ψ(β[α])，此时β为极限序数。
* 通俗地来说, Ψ(k+1)=Ψ(k)·ω

### n=1

1. 可以为等级大于等于最右侧函数的加法运算或任意外包.

* Ψ(#Ψ1(0))[1]=Ψ(#Ψ(0))
* Ψ(#Ψ1(0)[a+1])=Ψ(#Ψ(#Ψ1(0)[a]))
* 等级比较: 在这里, lv(Ψ1(n))>lv(Ψ0(n)). 实际上函数的等级就是下标的数值
* Ψ(0)+Ψ1(0)=Ψ1(0)

## n≥2时的系统

### 函数等级比较

* 设Ψx(n)和Ψy(n)
* 若x>y，则lv(Ψx(n))>lv(Ψy(n))
* 若x=y，则lv(Ψx(n))=lv(Ψy(n))
* 若x<y，则lv(Ψx(n))<lv(Ψy(n))
* 函数的等级就是函数下标本身.

### n=2

#### 项的等级比较

* 我们把形如A1+A2…+An这样用加号连接起来的项称为复合项, 把形如A1(A2…(An))这样呈嵌套关系的项称为单项.
* 对于两个复合项A1+A2…+An和B1+B2…+Bn,先比较A1和B1的大小,若A1=B1则删除它们,继续比较A2和B2的大小…这样一直比下去,如果先出现哪一方没有项了则哪一方小.
* 对于两个单项, 则从外向内比较, 那一方没有项了则哪一方小.
* 对于两个不是由加号连接的项X,Y在X+Y中,若X<Y则立即删除X

#### 展开规则

* 令在表达式中最靠右的加项为C
	+ C必须是表达式中等级最高的(或者等级就为0), 如果不是, 则函数不合法.
		- 如Ψ(Ψ1(Ψ2(0)+Ψ1(0)))不合法, 但是Ψ(Ψ1(Ψ2(0)+Ψ2(0)))及Ψ(Ψ1(Ψ2(0)+Ψ(0)))合法.
	+ 等级为n的C必须嵌套于≥n层函数以内.
* 若C=Ψn(k+), 则:
	+ Ψn(k+)[a+1]=则Ψn(k)+Ψn(k+)[a]
	+ Ψn(k+)[1]=Ψn(k)
* 若C=Ψ(0), 则:
	+ Ψ(0)[a]=a (Ψ(0)本身就是ω)
* 若C=Ψ2(0)
	+ 找到包着C且最内层的等级低于2的函数, 将找到的函数本身和C命名为A (我们称之为基准项)
	+ 再找到包着A, 最靠内且等级小于等于 (A最外层的函数)的函数, 把A替换成C, 将找到的函数和C组合成B.
	+ 再比较A和B的大小
		- 若A>B, 则需要补层, 补到A=B为止
		- 若A<B, 则继续向外寻找合适的层.
		- 若A=B, 把A替换成找到的那层及它所包含的东西N次.

### n≥3

令任何一个合法的项或者部分为@ (@也可以是一堆空气)

* 先找到形如Ψn(@ Ψn+1(Ψn+2(...Ψn+a(Ψn+a+1(0))))))的结构 (n≥1), 且最外层的Ψn要尽可能靠内
* 然后, 将Ψn+1(Ψn+2(...Ψn+a(Ψn+a+1(0))))))记为C (可以称之为“塔”, 因为C中函数的等级是依次递增的).
* 找到包着C且最内层的等级低于n+1的函数, 将找到的函数本身和C命名为A (我们称之为基准项)
* 再找到包着A, 最靠内且等级小于等于 (A最外层的函数)的函数, 把A替换成C, 将找到的函数和C组合成B.
* 再比较A和B的大小
	+ 若A>B, 则需要补层, 补到A=B为止
	+ 若A<B, 则继续向外寻找合适的层.
	+ 若A=B, 把A替换成找到的那层及它所包含的东西N次.
庞头

庞头，又称胖头，出生年月不详，不过看他的表现多半是一个小学生。

* 分级：B+级庞氏

总的来说，庞头是一个破坏葛立恒数吧和的罪人。

### 2019年

他从3月开始在葛立恒数吧宣传 “华严世界，重重无尽”，”华严世界了解一下“等言论；在别人指出其错误之后，不但不悔改，反而爆粗口，还开了超级会员对别人进行禁言。这还不算什么，他在第二代苏丹被封后还去王杰吧闹......闹完了又回到葛立恒数吧闹

### 经典言论

* **你爷**
* **华严世界了解一下**
* 索嗨
* 波波早
* 王杰公鸡嗓
* **大家好**，我叫**吴文璟**，来自广东广州，1999.12.2......
* 悄悄问圣僧女儿美不美女儿美不美
* 流猪肥
* 胖头最近好像没怎么闹过
* 你们要不要喝尿
* 白秃垃圾
挑战葛立恒数

**挑战葛立恒数**是知乎中的一个话题，旨在通过各种函数试图**超越**葛立恒数。但是，大部分的构造都*低于葛立恒数*，甚至没有超越

G
(
1
)

{\displaystyle G(1)}

。

## 葛立恒数的介绍

参考葛立恒数，其数很大。

其数无法用科学计数法表示，并且他无法通过“**指数塔**”的迭代方式超越葛立恒数。

我们来算一下3^^^3：

3^^^3

=3^^3^^3

=3^^(7.62万亿)

这已经是很大的数了，相当于3进行7.62万亿次乘方运算。已经不可想象。

但是，这只是G(1)的皮毛。真正的G(1)为

3
↑↑↑↑
3

{\displaystyle 3 \uparrow \uparrow \uparrow \uparrow 3}

。

## 常见方法

### 指数塔迭代（失败）

指数塔迭代是通过多重指数以及省略号、大括号等方式进行指数运算。但是，这**大部分**都是无法超越葛立恒数的。其实*很多个人写九*这种描述形式就相当于指数塔迭代。

以下是例子：

1. 假设宇宙中所有的原子，都变成一个生命，不断的写9。经过庞加莱回归时间（以年为单位）的庞加莱回归时间的……的庞加莱回归时间次方（庞加莱回归时间个“的”）年，请问这个数和葛立恒数哪个大？ 分析： 宇宙原子数量：10^80 庞加莱回归时间<10^^6 这个数小于10^^^10，自然小于G(1)。
2. A=100^100，B=A^A^A^...^A，…………，Z能超越葛立恒数吗？ 分析：三箭头级别，pass。

### 特定数量的高德纳箭头

一般是“99999999999999个”，无法超越葛立恒数，不用多说了。一般套设定也是乘法运算级别。

### 普通数学

一般都是乘方级别。

以上都是失败的方式。

成功的方式为如下：

### 计数函数

计数函数可以让你的函数的 FGH 增长率突飞猛进的增长。

以下是超越葛立恒数的例子：

f
0

(
n
# )
n

n

n
,

f
n

(
n
# )

f

n
−
1

n

(
n
)
,
g
(
x
# )

f
x

(
x
)
,

g
n

(
x
# )

g

n
−
1

n

(
x
)

{\displaystyle f\_0(n)=n\uparrow^n n,
f\_n(n)=f^{n}\_{n-1}(n),
g(x)=f\_x(x),
g\_n(x)=g^{n}\_{n-1}(x)}

这里，g是计数函数，g\_n函数的 FGH 增长率达到了ω2。

攻略
--

FGH 增长率为 ω+1，那么，我们可以这样超越葛立恒数：

1. 设定前期：初始值、变量建议使用乘方、高级运算增长。
2. 设定中期：增加套娃，计数函数。如：“设x为1级，设y为2级…………那么，n级有（发展到1个n-1级之时，需要耗费多少个原始材料）个元素”
3. 设定后期：开始不断增加计数函数，大计数函数套小计数函数。

1. ↑ 知乎话题--挑战葛立恒数： https://www.zhihu.com/topic/27191499/hot.
SGH、HH与FGH

## 定义r

FGH 的定义：

1. f0(n)=n+1
2. fm+1(n) = fm(fm(...fm(n))) （共n个"fm"）
3. α为极限序数且α≠0时，fα(n) = fα[n](n)

SGH 的定义：

1. g0(n)=n+1
2. gm+1(n) = gm(n)+1
3. α为极限序数且α≠0时，gα(n) = gα[n](n)

FGH 的定义：

1. H0(n)=n+1
2. Hm+1(n) = Hm(n+1)
3. α为极限序数且α≠0时，Hα(n) = Hα[n](n)

若函数p(x)和f(g,H)α(x)有相近的增长率，我们称p(x)的FGH(SGH,HH)增长率是α，记为p(x)~α

例：葛立恒函数g(x)~ω+1（FGH），g(x)~ωω+1（HH）

## 基本列

先从序数说起:

ω是一个数列,(1,2,3,...)

然后又有ω+1,ω+2,ω+3,ω+4,...
ω2又是一个数列,(ω+1,ω+2,ω+3,...)

......

ω2 = (ω,ω2,ω3,...)

ω3 = (ω2,ω22,ω23,......)

......

ωω = (ω,ω2,ω3,.....)

然后又有ωωω...

ε0 = (ω,ωω,ωωω,...)

ε1 = (ε0+1,ωε0+1,ωωε0+1,...)

ψ(n) = εn if n < Ω

每个Ω可以对应ω次迭代,如ψ(Ω) = ψω(ω) = ζ0
...

定义几个序数:
*FSO* = ψ(ΩΩ)
*ACO* = ψ(ΩΩ2)
*SVO* = ψ(ΩΩω)
*LVO* = ψ(ΩΩΩ)
*BHO* = ψ(ωΩ)

α[n]就是序数α所对应的数列的第n项

比较
--

//比较:
gFSO(n) ≈ g(n)
gACO(n) ≈ Cg(n)
gSVO(n) ≈ n&n
gBHO(n) ≈ nn&n
比较:
Hωω+1(n) ≈ gFSO(n)
Hωω2(n) ≈ gACO(n)
Hωωω(n) ≈ gSVO(n)
Hε0 ≈ gBHO(n)
Hψ(Ωω) ≈ 3&n&n
HSVO(n) ≈ n&n&n
HBHO(n) ≈ nn&n&n
康威箭头表示法

康威箭头表示法，是由英国数学家康威创造出的表示法，这可以看作高德纳上箭头表示法的扩展。

此表示法FGH极限增长率ω2，算上扩展可以到ω3

## 展开规则

### 基础规则

* 形如a→b→c→d...之类的东西可以看作一条康威链
* a→b=ab
* X→1→b=X （X是任意东西）
* X→a+→b+=X→(X→a→b+)→b
* 可以证明，a→b→c=a↑cb

### cg函数

* cg(n)=n→n...→n→n （共n个n）
* 它是康威箭头表示法基础规则的极限

### 扩展规则

* 这个扩展规则由Peter Hurford提出
* a→c+b=a→c+a→c+a...→c+a→c+a
* 箭头的下标可以看作箭头的等级
* 注意，不同等级的箭头不可出现在同一条康威链中，如3→34→32是不合法的，当然，你可以写3→3(4→32)
* 无论是什么等级的箭头，X→a+→b+=X→(X→a→b+)→b依然适用
大数联邦相关规定

麻雀虽小，五脏俱全。大数联邦虽然规模小，但是也一定要有规则。

## 禁止行为及处罚

本wiki不会使用永久封禁。封禁时长最长2年。

封禁时长：1天、3天、7天、15天、30天、90天、2年。（若对封禁时长不好定夺，可以灵活取值，但不得超过2年）

1. 发黄/暴恐内容的，第一次7～15天，第二次30～90天，第三次直接2年！
2. 恶意编辑/删除页面：第一次警告或1天，第二次1～3天，第三次3～7天，第四次7～15天，五次以上15天～90天！
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4. 骂人带脏字的：第一次1～7天，第二次3～15天，第三次15～90天，第四次90天～2年。
5. 骂人不带脏字的：第一次警告或1天，第二次1～3天，第三次3～7天，第四次7～15天，五次以上15天～90天！（若屡教不改可以2年）
6. 使用程序攻击wiki：第一次3～7天，第二次7～30天，第三次30～90天（严重者2年），第四次直接2年！

## 限制行为及处理

1. 尖酸刻薄地指出错误（不同于骂人不带脏字）：第一次第二次警告，第三次1天，四次以上3～7天！
2. 大量在论坛灌水：第一次第二次警告，第三次警告或1天，四次以上1～3天封禁
3. 非辱骂、违法和广告的爆论坛行为：第一次警告，第二次警告或一天，第三次3~7天，四次以上7~30天！

## 不提倡行为

1. 错误编辑：自行纠正，或他人提醒后纠正。
2. 无意义编辑：管理员/行政员/版主提醒。

## 其他处理规定

1. 若违反限制行为第一条或禁止行为第四、五条，但是“受害者”是庞氏，可以减刑或无罪：

* 受害者为E+级或以下的，减刑一级
* 受害者为C级或以下的，减刑二级
* 受害者为B级或以下的，减刑三级
* 受害者B+级或以上的，直接无罪！

1. 自首可以减刑一到两级

* 若管理员/行政员认识到自己的错误，自我封禁，视为自首。

1. 若减刑减到无罪就按无罪处理。
2. 管理员/行政员犯法与庶民同罪！

## 如何升职？

1. 担任大数相关贴吧的吧务
2. 在大数领域有突出贡献（如表示法高增长率或大数理论扎实）
3. 讨论积极，有一定管理能力
4. 以上条件满足一个，再通过审核，就能担任大数联邦wiki的相关职务。
马洛基数

## 基本定义

* 设a是一个基数，f是从小于a的序数映射到小于a的序数的函数，满足f是连续的，而且f(x)≥x
* 若对任意一个这样的f，都存在一个x<a，使得x是f的不动点，而且是一个正规基数。那么我们就称a是mahlo基数

* 现在设a是一个基数，f是从小于a的序数映射到小于a的序数的函数，满足f是连续的，而且f(x)≥x 若对任意一个这样的f，都存在一个x(当然，这里我们要求a是不可达基数)

* 以此类推，我们可以得到I,I\_2,I\_3,...,I\_I,...，全都小于M

* 而是，每当你有一个函数，那么使用这个函数堆叠、扩展出来的基数永远也到达不了的那个东西，也仍然小于M
* 这就是标准数学中的M的强大

### By User102888

* 就是说任意关于I的运算，无论怎么堆叠、扩展，都小于M
* 甚至包含本身的不可达性
大数联邦 Wiki

* 这是一个聊大数和无限数的wiki, 欢迎大家畅所欲言.

## 欢迎来到大数联邦 Wiki

这是里可以收集和讨论各种大数表示法, 各种有关大数的设定, 还有各种无限数, 以及和大数相关的游戏.

跳转到大数联邦的介绍

跳转到大数联邦规定

## 讨论大数及其衍生产物的主要贴吧

* **葛立恒数二吧(目前最主要的活跃贴吧)**
* 大数数学吧（User102888的个人贴吧兼葛吧小分部）
* 葛立恒数吧
* 序数增量吧
* ychfugug吧

## 导航（The Navigator）

### 大数

* 大数列表
* 葛立恒数（\(G(64)\)）

### WiKi 相关

* 大数联邦相关规定
* 大数联邦
* 庞氏

### 小说

* 小说面板
* 小说:作家专区

当前推荐小说：Not Found.

## 最新活动

* 2020年10月11日: 本Wiki创立
* 2021年8月23日: 本Wiki的页面数已经达到20.
* 2023年9月3日: 本Wiki的页面数已经达到30.

视频和图片是最好的信息资源。您可以直接从您的电脑上传文件。
File:Placeholder
古戈尔

古戈尔（Googol）是一个很有名的大数。它的大小为10100，也就是“1后面100个零”。这个数在1938年由Milton Sirotta创造。

具体大小：

```
10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

```

作为对比，全宇宙的原子数大约为1080。目前宇宙中的原子数没能超过古戈尔，可见古戈尔之大。在googology中其实此数很小。

## 衍生/扩展的数字

* Googolplex - \(10^{10^{100}}\)
* Googolplexian - \((^310)^{100}\)