nyuuzyou/wikis huggingface dataset:
Sec2Sess42

Unformatted notes below. Notes on my shorthand method
Session 42: Constrained Differentials
Non-independent variables
How to handle functions when the variables are related
For example in Physics when pressue, volume, and tempurature are changing
General equations: f(x,y,z) where g(x,y,z)=c where c is a contraint.
If g(x,y,z)=c than each variable can be solved for as an expression of the two others.
Example:
z = z(x,y) that is z as a funtion of x and y.
A question can be asked, what is the rate of change of z with respect to x keeping y constant.
That equates to pd(z)/pd(x), partial derivative of z with respect to x.
Using partial derivatives a variable that can be expressed (found, determined) by the value of
other variables can have its value found. The other variable values are applied to a function
that results in the value of the variable in question.
If equations for finding the values of variables can not be solved exactly than approximation
methods can be applied.
Approximation formulas can at times be simpler than exact solution formulas also
Example:
x^2+yz+z^3=8 at point (2,3,1)
Take the differential:
2x*dx+z*dy+(y+3z^2)*dz
the result 8 can be set to 0 because it is a constant.
2x+y+(y+3z^2)z = 0
for points (2,3,1):
2*2x+1*y+(3+3)*z = 4x+y+6z = 0
Each variable can be expressed in terms of the others e.g., 4x+y=-6z, 4x+6z=-y
Expressing in terms of the other variables shows how each variable depends on the others.
If we want to view z=z(x,y) than move z to the other side:
dz = -1/6(4*dx+dy) from -6z=4x+y
therefore pd(z)/pd(x) (partial derivative of z with respect to x) is -4/6 = -2/3
pd(z)/pd(y) = -1/6
In general:
g(x,y,z)=c, then
d(g)=g_x*d(x)+g_y*d(y)+g_z*d(z)=0 where d() is derivative
That can be used to solve for any variable that is wanted to be expressed in terms of the
others. This is useful for variables that depend on other variables for their value. This
could be used to find solutions to problems and avoid variables conflicting with each
other such as in collinearity or multicollinearity issues.
Solve for dz:
dz = -g_x/g_z*dx-g_y/g_z*dy
So, for pd(z)/pd(x) set y=constant=0=d(y)
pd(z)/pd(x) = -g_x/g_z
Implicit differentiation uses variables as a function of other variables 
(e.g. d(y^2)/d(x)=2y*d(y)/d(x).
 
Total differentiation is taking the complete derivatives of the function and its constraint
to find solutions.
General method for both types of differentiation:
An equation, such as a constraint equation, can be solved for a variable (as a derivative)
then that variable can be applied to the problem's equation (in derivative form) to find
the derivative with respect to a variable in question.
Sec2Sess47

Unformatted notes below. Notes on my shorthand method
Session 47: Double Variables
Remember: function of 1 variable int_a_b(f(x))dx = area below graph of f over the range [a,b].
Double integral = volume below graph z=f(x,y) over a region R in the xy-plane. int(int_R(f(x,y)))dA
where A is area. Single integral is area, double integral is volume.
Instances of dA add up to create the total area result.
Definition: cut R into small pieces of area delta (change) A; 
sum_i(f(x_i,y_i)*change_A_i
Adding sections is done by taking the limit as change_A->0 (change in A as it approaches 0) 
and adding the section. That provides the double integral int(int()). 
To compute int(int(f(x,y)dA)_R): take slices. Those slices will combine for the total area.
Let S(x) = area of slice of plane parallel to the yz-plane. The volume = int(S(x)dx)
Range is from x_min to x_max of the combined slices creating the integral.
For given x, S(x) = int_x_min_to_x_max(f(x,y)dy)
Almost all the time integration is done of R first.
Integrals can be generally thought of as summing the area over a region
Applications of double integrals:
1. Finding the area of region (R).
Area(R) = int(int_R(1*dA)) where 1 represents a flat plane in 3d space where volume would occur.
In other words, height 1.
Mass (m) of a (flat) object with density (D) = mass per unit area
Each piece of the object has change_m = D*change_area
Total mass = int(int_R(D*dA))
Double integrals "scanning" conceptual description:
There is an outer integral and an inner integral. For integration of a 3d object the inner integral is
similar to scanning each line along the x-axis. Once those scans are processed the outer intergral is
moved up one increment in its scan and the process continues until the scan is completed. The intergrals
are processed in a way a 3d scan scans along each axis sequentially until the scan is completed.
Shorthand

<x, y> : vector (x, y)
(x, y) : vector (x, y)
A_1 : A subscript 1
A-> : vector 'A'
->(A) : vector 'A'
|A| : Magnitude = sqrt(a_1^2+a_2^2) which is the euclidean distance from the origin (0,0)
|A| (A in italics) : det() : determinant
cos(a) : cosine of angle a
A . B : A and B Dot Product
A * B : A and B Multiplication
90* : 90 degrees
@ : angle
pi = 180 degrees = 3.14
_|_ : orthogonality symbol
|u| : |unit vector|
set() has same notation as magnitude, | | , but has multiple rows.
A' : A' prime (modification of original A, not first derivative of A unless otherwise stated)
a_^ : symbolic variable 'a'
NOTE: if someone can help convert the notes to better formatting that would be appreciated! I prefer latex formatting unless someone knows of a better one.
If there is something confusing about the notation leave a comment on this page
Links to help format equations in Latex are:
https://oeis.org/wiki/List_of_LaTeX_mathematical_symbols
https://www.overleaf.com/learn/latex/Subscripts_and_superscripts
Main Page

<translate>
Welcome to the Gachimuchi Wiki
 All information regarding the Nico Nico Douga phenomena and its origins are found here. Content on this wiki includes the over-usage of mostly wrestling-oriented gay, straight, and bisexual pornographic films. There are many spoilers for said gay, straight, and bisexual pornographic films, too. The information gathered on this wiki is taken from sources carefully picked, but not like a kid in a candy store. Viewer discretion is extremely advised. You got me mad now.
===About Gachimuchi Pants Wrestling (GPW)=== 
File:Aniki I want to protect this smile.png|The origins of Gachimuchi Pants Wrestling.
File:GPW characters.jpg|Characters|Learn what the Gachimuchi Pants Wrestlingcharacters are and aren't.
File:最強とんがりコーン.jpg|Find character traits throughmisheard dialogue.
File:Chi Chi LaRue% 27s Conquered.jpg|Discover where a scene in a film comes fromon the Nico Nico Douga website.
Category:Gachimuchi Pants Wrestling
Category:Wrestling Series
</translate>
101 Rent Boys

<translate>
----
101 Rent Boys (also known as 101 Rent Boys: Uncut in the uncut version of the film) is a 2000 American adult documentary film that explores the lives of male prostitutes in the Los Angeles, California area. The film depicts 101 hustlers, being paid each $50 for their time, which come from diverse ethnic, regional, and economic backgrounds. Van Darkholme appears in the film as #90.
__NOTOC__
==Synopsis== 
===#90 van===
Van Darkholme is one of the 101 male prostitutes that is interviewed. In the footage found from the film, Van Darkholme talks about his role to fulfill people's sick requests. He was going to be a movie star, but after many auditions in small parts, Van had enough and went into escort work. Van was requested a lot of fetishes by his clientele one of which was fisting. Van, according to the interviewers talked for 20 minutes in detail about the fisting process and how it felt. After that, Van is left alone to reflect and sit on ground.
===Strand Releasing Synopsis=== 
101 Rent Boys is shot on location in various motel rooms situated on the length of the Santa Monica Boulevard, and features 101 different hustlers. Although the film features 101 different people, it focuses on the lives (and loves) of a few key men. They have been chosen to reflect the immense diversity of the boys of the Santa Monica Strip. An amazing thing happens when you cross a video camera with award-winning directors, $50 and a hustler. The pieces are slickly grouped to cover certain themes; such as their first john, gay for pay, homelessness, drugs or the reason that they began to work as a rent boy. It also explores the variety of insiders' opinion on subjects such as; how a rent boy should dress, speak, act, think, give head, receive head, increase cash flow, keep safe, walk, eat, smoke, and flirt.
==Authentic Gachimuchi Information== 
* The copy that was uploaded to Nico Nico Douga (now Niconico) on October 15, 2009 cleverly hides how the footage was reversed, repeated, and adds an additional, unrelated video to the film.
* Music department by Jimmy Harry.
* Some of the interviewees died shortly after filming, mostly from drug overdoses.
* The directors of the film claimed that there were actually 102 men that they interviewed. They had to shoot an extra interview when one of the original boys turned out to be under aged.
* Van Darkholme talked in excruciating detail about fisting slaves for 20 minutes, according to the director commentary.
* Van Darkholme lied about a majority of what he discusses in this film. The information he discloses may be fake. Caution is advised.
* $5,100 (including the under aged boy) total was spent in the film to the 102 boys.
==Gallery== 
World of Wonder.jpg |World of Wonder.
101 Rent Boys back cover.jpg |101 Rent Boys back cover.
==See also== 
===For main===
* DEEP♂DARK♂FANTASY
===For films===
* Lords of the Lockerroom
* House of Detention
==External links== 
* IMDb page
==References== 
Category:Gachimuchi Pants Wrestling
Category:Wrestling Series
Category:Official Films
</translate>
101 Rent Boys/en

----
101 Rent Boys (also known as 101 Rent Boys: Uncut in the uncut version of the film) is a 2000 American adult documentary film that explores the lives of male prostitutes in the Los Angeles, California area. The film depicts 101 hustlers, being paid each $50 for their time, which come from diverse ethnic, regional, and economic backgrounds. Van Darkholme appears in the film as #90.
__NOTOC__
==Synopsis==
===#90 van===
Van Darkholme is one of the 101 male prostitutes that is interviewed. In the footage found from the film, Van Darkholme talks about his role to fulfill people's sick requests. He was going to be a movie star, but after many auditions in small parts, Van had enough and went into escort work. Van was requested a lot of fetishes by his clientele one of which was fisting. Van, according to the interviewers talked for 20 minutes in detail about the fisting process and how it felt. After that, Van is left alone to reflect and sit on ground.
===Strand Releasing Synopsis===
101 Rent Boys is shot on location in various motel rooms situated on the length of the Santa Monica Boulevard, and features 101 different hustlers. Although the film features 101 different people, it focuses on the lives (and loves) of a few key men. They have been chosen to reflect the immense diversity of the boys of the Santa Monica Strip. An amazing thing happens when you cross a video camera with award-winning directors, $50 and a hustler. The pieces are slickly grouped to cover certain themes; such as their first john, gay for pay, homelessness, drugs or the reason that they began to work as a rent boy. It also explores the variety of insiders' opinion on subjects such as; how a rent boy should dress, speak, act, think, give head, receive head, increase cash flow, keep safe, walk, eat, smoke, and flirt.
==Authentic Gachimuchi Information==
* The copy that was uploaded to Nico Nico Douga (now Niconico) on October 15, 2009 cleverly hides how the footage was reversed, repeated, and adds an additional, unrelated video to the film.
* Music department by Jimmy Harry.
* Some of the interviewees died shortly after filming, mostly from drug overdoses.
* The directors of the film claimed that there were actually 102 men that they interviewed. They had to shoot an extra interview when one of the original boys turned out to be under aged.
* Van Darkholme talked in excruciating detail about fisting slaves for 20 minutes, according to the director commentary.
* Van Darkholme lied about a majority of what he discusses in this film. The information he discloses may be fake. Caution is advised.
* $5,100 (including the under aged boy) total was spent in the film to the 102 boys.
==Gallery==
World of Wonder.jpg |World of Wonder.
101 Rent Boys back cover.jpg |101 Rent Boys back cover.
==See also==
===For main===
* DEEP♂DARK♂FANTASY
===For films===
* Lords of the Lockerroom
* House of Detention
==External links==
* IMDb page
==References==
Category:Gachimuchi Pants Wrestling
Category:Wrestling Series
Category:Official Films
3 Easy Pieces

----
3 Easy Pieces is an American adult film produced by Titan Media on June 1, 1999, co-created and co-directed by Brian Mills, Bruce Cam, and Harold Creg, and was released in the same year. The film includes Van Darkholm, Paul Morgan, and Peter Wilder.
__NOTOC__
==Synopsis==
===GEVI Synopsis===
San Francisco is the stage for 3 Easy Pieces, with the City by the Bay's majestic, rugged scenery as the backdrop for 3 episodes of non-stop, sexy action between 3 different trios of hot TITAN men. In the first scene, hunky hardhat Michael Vincenzo climbs aboard his handsome construction foreman Peter Wilder. But after getting back to the tool shop, he has to make room for the stunning, chiseled Van Darkholm to join in the ride. When two apartment hunters, Paul Morgan and Tim MacKenzie, celebrate a find with some romantic smooching and groping, they arouse sexy painter Dean Maxwell, and the trio fuck their way through every room in the place. For a nasty weekend, brawny Austin Masters and chiseled Ric Hunter fly in a fuck buddy-dark beauty Brice Patton. They've hardly said hello before they're into each other's hairy, hard bodies. The studs engage in incredible acrobatics as they suck and fuck each other with abandon. It's hot man-sex, San Francisco style.
Soramimi/3 Easy Pieces
==Authentic Gachimuchi Information==
* This is Van Darkholm's first adult film appearance.
==See also==
* The Adventurers, for Van's appearance in a non-gay film.
* Lords of the Lockerroom, for Van's introduction into Gachimuchi.
* House of Detention, for Van's slaves getting introduced into Gachimuchi.
* Bondo Gods Vol. 6, for Van's leather suit.
Category:Gachimuchi Pants Wrestling
Category:Wrestling Series
Category:Official Films
A Wank in the Woods

----
A Wank in the Woods is a Czech adult film produced by the late William Higgans, created and directed by William Higgans, and was released on April 2003. The film includes Jirka Kalvoda and Jarda.
__NOTOC__
==Synopsis==
Jirka Kalvoda and his fellow European friends get on the bus. One of the passengers brings out his guitar to play on the bus trip and to the destination. Another passenger brings a Golden Retriever puppy for the Europeans to pay attention to. After getting off of their bus, a European sees the Golden Retriever puppy only looking around on the floor of the bus. Jirka Kalvoda and his friends go deeper into the woods and settle down. The guitarist still plays on while the men set up a grill. The Golden Retriever puppy was recovered from the bus unharmed.
===geviVOD Synopsis===
For years I've yearned to film a nude football (soccer) match. My inbox is often flooded with similar requests by viewers. Happily, last summer the weather cooperated and our athletic models got together for and filmed a glorious naked match under the warm sunshine. The guys looked fabulous in their nakedness kicking the football around, with nothing to hide, and bonding together. As the Athens games had just concluded, we also staged nude races, just like they did in Ancient Greece. Afterwards, the guys enjoyed cooking their lunch over the campfire, followed by a leisurely wank and more. At the end of a perfect day, our ensemble forded a small stream for the bus-ride back to Prague.
Soramimi/A Wank in the Woods
==Authentic Gachimuchi Information==
==See also==
* Knaked Knights
* Max Men Strip Fantasy 1
* Wolff's World
* House of Detention
==References==
Category:Gachimuchi Pants Wrestling
Category:Wrestling Series
Category:Official Films
Aan? Ankake chāhan?

Aan? Ankake chāhan? (あぁん？あんかけチャーハン？) or Huh? Ankake fried rice? is a soramimi that appears in the Wrestling Series. The speaker is Billy Herrington.
__NOTOC__
==Role in Gachimuchi Pants Wrestling==
Due to a mishearing of Billy Herrington saying "Huh? How do you like that, huh?" as "あんかけチャーハン" (Ankake chaahan, "fried rice with sauce on top") or "Oh you like that, huh?" as "ホイ ホイ チャーハン" (Hoi hoi chaahan, "Hoi, hoi, fried rice"), fried rice sometimes appears as a meal in Gachimuchi videos, especially with Aniki recommending the dish as his favorite food.
==Authentic Gachimuchi Information==
* Fried rice is occasionally used as a euphemism for sperm, as well as being a joke about how the action of thrusting resembles preparation of fried rice from the waist up.
* Crab meat is also used to make some forms of fried rice.
==See also==
* Saikyō Tongari Kōn
==External links==
* Ankake fried rice article on Nico Nico Pedia (Japanese)
Category:Gachimuchi Pants Wrestling
Category:Wrestling Series
Category:Soramimi
Adam Logan

<translate>
Adam Logan (Japanese: 太宰ウェンツ Hepburn: Dazai U~entsu) is an American former gay pornographic film actor.
__NOTOC__
==Names== 
Dazai comes from Adam resembling the late Japanese author Osamu Dazai. Wentz comes from Adam resembling the biracial (part German) singer Eiji Wentz.
In Japanese, Adam Logan's name is transcribed as Adamu Rōgan (アダム・ローガン).
==History== 
Adam Logan's only appearance was in the Sharpshooter Studios produced 1998 film, Junkyard Boyz.
==Role in Gachimuchi Pants Wrestling== 
Adam was obscured by the larger presence of Danny Lee, Thomas Papillon, and Tim Carlton. However, his convincing name received attention. It is rare sight for someone such as him to have a smaller, less muscular physique than seen with the other Wrestling Series characters. There is a section where he is a youthful literature scholar (the skateboard helps with that).
Adam is not popular in MADs because of minimal materials and no lines spoken. But, he is expected to be the branch between philosophy and literature in the future.
His theme is "Breakdown" by Nigel Broad and Scott Kluesner. Sharing his theme with Danny Lee.
==Authentic Gachimuchi Information== 
* May have had a temporary relationship with Dillon Day at one point.
* Adam Logan has a kiss mark on his right pelvis.
==Gallery== 
Adam Logan.png|In Junkyard Boyz.
==External links== 
* Dazai Wentz mention in About Pants Wrestling Aniki 3 (Japanese)
==References== 
Category:Gachimuchi Pants Wrestling
Category:Wrestling Series
Category:Characters
</translate>
Adam Logan/en

Adam Logan (Japanese: 太宰ウェンツ Hepburn: Dazai U~entsu) is an American former gay pornographic film actor.
__NOTOC__
==Names==
Dazai comes from Adam resembling the late Japanese author Osamu Dazai. Wentz comes from Adam resembling the biracial (part German) singer Eiji Wentz.
In Japanese, Adam Logan's name is transcribed as Adamu Rōgan (アダム・ローガン).
==History==
Adam Logan's only appearance was in the Sharpshooter Studios produced 1998 film, Junkyard Boyz.
==Role in Gachimuchi Pants Wrestling==
Adam was obscured by the larger presence of Danny Lee, Thomas Papillon, and Tim Carlton. However, his convincing name received attention. It is rare sight for someone such as him to have a smaller, less muscular physique than seen with the other Wrestling Series characters. There is a section where he is a youthful literature scholar (the skateboard helps with that).
Adam is not popular in MADs because of minimal materials and no lines spoken. But, he is expected to be the branch between philosophy and literature in the future.
His theme is "Breakdown" by Nigel Broad and Scott Kluesner. Sharing his theme with Danny Lee.
==Authentic Gachimuchi Information==
* May have had a temporary relationship with Dillon Day at one point.
* Adam Logan has a kiss mark on his right pelvis.
==Gallery==
Adam Logan.png|In Junkyard Boyz.
==External links==
* Dazai Wentz mention in About Pants Wrestling Aniki 3 (Japanese)
==References==
Category:Gachimuchi Pants Wrestling
Category:Wrestling Series
Category:Characters
Adam Logan/ru

"'Адам Логан"' (японский: 太宰ウェンツ хепберн: "Дазай Венц") - бывший американский гей-актер порнографических фильмов.
__NOTOC__
==Имена==
Дазай происходит от того, что Адам напоминает покойного японского писателя Осаму Дазай. Вентц происходит от того, что Адам похож на бирасового (частично немецкого) певца Эйдзи Вентца.
На японский имя Адама Логана транскрибируется как Adamu Rōgan (アダム・ローガン).
==История==
Единственное появление Адама Логана состоялось в фильме 1998 года студии Sharpshooter Studios Junkyard Boyz'.
==Роль в Gachimuchi Pants Wrestling==
Адам находился в тени Дэнни Ли, Томаса Папиллона и Тима Карлтона. Однако его запоминающееся имя привлекло внимание. Редко можно увидеть менее мускулистого персонажа Серии Рестлинга. Есть раздел, где он представляется в виде юного литературоведа (и в этом ему помогает скейтборд).
Адам не популярен в MADах из-за минимального количества материала и отсутствия произносимых реплик. Но ожидается, что в будущем он станет ответвлением между философией и литературой.
Его тема - это "Breakdown" Найджела Броуда и Скотта Клюзнера. Она же является темой Дэнни Ли.
==Подлинная Гачимучи Информация== 
* Возможно, у него были временные отношения с Диллоном Дэйем в какой-то момент.
* У Адама Логана есть след от поцелуя на правом тазу.
==Галерея==
Adam Logan.png|В Junkyard Boyz.
==Внешние Сслылки==
* Упоминание Дазая Венца в "О борце в штанах Аники 3" (японский)
==Ссылки==
Category:Gachimuchi Pants Wrestling
Category:Wrestling Series
Category:Characters