recursal/Fanatic-Fandom huggingface dataset:
Cops And Robbers LLC

When their is crime and injustice in the world you can always count on Cops and Robbers to lead the way! A start up made by Zudain Morthros and Drake Broomstein for the express purpose to keep Yggdrasil and all continents to follow a universal law list.

## Notable Members

Zudain Morthros - The "Robber" per say in this duo partnership, with his unique background he has the ability to decipher thieves cant and be able to bust those who truly believe to be safe.

Drake Broomstein - The "Cop" in this band of duos he has extensive knowledge on all most all laws foreign and domestic being able to pin any one if they are falling too far out of line.

Amelie Blanchett - The first real hire from Zudain after looking into her background and history felt a compelling need to hire and try to shelter her like he has done once before and like himself. Zudain does wish she didn’t kill as many as she has while Drake is very much on the side of they didn’t want harm they should have not committed the crime.

Iria Zanar Key - The second hire for Cops and Robbers it was very much an interest to have knowledge about the Jade Empire from both parties and since Amelie keeps killing bounties they were a shoe in for helping Amelie capture some of them alive. Zudain’s thoughts about her are rather odd he doesn’t understand the reasoning or logic of Key but is still happy to have her abroad. Drake is very grateful for the cool Owl he was givien after Key and Amelie’s first mission.

## History

While a relatively new crime stopping office it doesn’t get a whole lot of attention but is one of the main forces outside the city’s guard.

## Trivia

The name is a nod to the song Cops and Robbers by the Hoosiers.
Episode 1

**Previous**N/A

The first episode of Crime Love premiered on October 29th, 2023 at 11:35 AM CDT.

## Summary

The episode starts with Elyssa talking to the girls about how she had a dream of a pink-haired girl trying to kill her and how when she woke up there was a note saying she was gonna die. Adriana suggests that it was maybe a friend or her sister or something. Elyssa tells Adriana that she understands, but her sister’s handwriting is worser than the handwriting on the note. Then, Victoria suggests that she maybe got a stalker. Peaches then says that she understands Victoria, and then suggests that it may be something worser. Elyssa says that they (including her) should already go. The scene cuts to Elyssa, Adriana, Peaches and Victoria doings dances, and basically cheerleading. The scene then cuts to Angela, Violeta and a blue-haired girl doing the same. The scene cuts back to Elyssa, Adriana, Peaches and Victoria doing what they were doing. The scene cuts to Elyssa, Adriana, Peaches and Victoria in one of the school’s women’s bathrooms and Peaches says that she’s actually tired. Elyssa replies with “same, but at least we won”. She then is shown holding her phone, and says “Oh, I have to meet someone at the rooftop”, puts her phone down, and says “I have to go, I promise I’ll be back”. Elyssa runs out the bathroom, and the scene cuts to her being on the rooftop with Angela, Violeta, and the blue-haired girl. Angela says that she has to tell her something, and Violeta replies with “Stay away from Chris, he’s Angela’s boyfriend and if you don’t leave him alone, Angela will kill you”. Elyssa then says “What the fuck I don’t even know who is Chris! Leave me alone!”. The scene then shows Chris on the rooftop, pulling out a gun (pistol), and shoots Angela. All three girls scream. Elyssa then slowly runs toward Chris, hugs him, and thanks him for what he’s done. Chris then screams. After that, it shows a black screen with white text saying “the next week”. Then, the scene shows Elyssa and Karina at their house in a bedroom, and Elyssa says “I know that Mom and Dad got to another country, but let’s simply to go to school Karin”. Karina replies with “fine!”. The scene cuts to Elyssa on her bike with Karina on her back, as Elyssa takes her younger sister to her school. Elyssa tells her sister to not be scared, and that she’ll always be here for her. After that, Elyssa gets back on her bike and rides to school. After she gets to school, the scene cuts to her at class, with her head down on her desk, and says “ugh, something interesting will have to happen”. Then, the teacher walks in, and the teacher says that there is a new student. The new student, being Chris, walks in and introduces himself. After that, the screen goes to black with white text saying “Will Continue…” and the episode ends.

## Characters

* Elyssa
* Chris
* Peaches
* Victoria
* Angela
* Karina
* Adriana
* Violeta
D'Angelo Morthros

Cleric: Trickery Domain

### Affiliations:

Xavier's School Of Magic For Gifted Individuals,5D's Magically Ammo Dispensary,Heroes Organizations

D’Angelo Morthros is someone whom if you were to cross paths wouldn’t necessarily put you in harms way. It would be best for your health and sanity if you were to part ways at the first chance you are given. Lest you be subject to his pranks and mischiefs.

## Appearance

A very young looking elf man. With his fair skin it could be unsure if he is a young child or an incredibly old elf. He is wrapped in robes over his armor with the symbol of Loki loud and proud on his clothing and armor. While carrying his alternative version of a pistol on his side he always seems to be smiling at something or someone.

## Personality

It’s been hard to get a read on D’Angelo with the very limited interactions he has had with the party. But it does seem it is all in for the fun and games they bring along with them. But his Cheshire like grin is unsettling since he seems to hold it even when it is not appropriate.

## Relationships

### Asher Grimclaw

The second person to join his Evil HERO ranks had made him happier than any good news could. The opening pitch of cannibalism was turned into a good thing able to twist and bend the truth around to ensure a “legal” method for Asher to eat people. With a new recruit to spread the works of evils that need to exist to in order to keep the world in balance and have those who do vile acts instead of evil acts. He likes the Good Bad boy.

## History

Again like most of the 5D’s not much is known about them other than they all come from a common ancestor being Xavier Morthros. It is rather odd this one is worshiping Loki and openly being a follower of him.
Slane Theocracy (Anti-Magic Organization)

The Slane is a collection of all of the worlds most powerful religious heads, they have gotten fed up with the way the world is treating this world brimming with magic and wishes for it to return back to its original state of being.

## History

It is suspected that this organization is comprised of mostly humans trying to protect and persevere their race. However they are extremely cautious and don’t let many outsides even know of the existence of them.

## Quote

”This world is corrupt and marred with sin.”
Angela

**Angela** is one of the main characters in the web series Crime Love. She was shot by Chris in Episode 1.

## Appearance

Angela has pink hair tied into a ponytail shaped into a bow and blue eyes. She wears a sailor school uniform (seifuku), mainly consisting of the colors white, black and red. She also wears a tiara on her head, shaped into a heart.

## Personality

In Episode 1, she had a meeting with Elyssa on the rooftop, and Violeta says “stay away from Chris, he’s Angela’s boyfriend and if you don’t leave him alone, Angela will kill you”. Elyssa also said that she had a dream of a pink-haired girl trying to kill her at the start of the episode. This could mean that Angela would harm the other person/people that have a crush on the person she has a crush on. Other than that, her personality isn’t entirely known yet.

## Relationships

### Elyssa

As seen in episode 1, Angela seems to hate Elyssa to the point she wants to kill her, although it’s unknown yet if Elyssa had already knew her before the meeting on the rooftop.

### Violeta

Violeta (and other girl with blue hair) appear to be friends with Angela, shown in episode 1.

### Chris

Angela had a crush on Chris, though it’s unknown if Chris knew her before.

## Gallery

*Click here to see the gallery of Angela.*
AZUKI SERIES

**AZUKI SERIES** (TikTok account - ***kawaiig0y***) is a SAKURA School Simulator YouTuber who makes series’ in said game. Their other works include the following (mainly from YouTube release):

* Midori Series
	+ Midori Series: Adventure World Ture
	+ Midori Series: 4445
	+ Midori Series: Adventure World Tour-e (fanime)
* Shizu’s Life Story
* ¡SAKURA!
* MAGICAL KANA
* Project Cupid
Sandbox

After you click SANDBOX button you can see black bacground and list of tools, materials.

There are 3 main material states:

Solid (Fully+Sandy+Snowy), Gas, Liquid (+Fire) every of states has diffirent behavior.

## Solid

Fully solid material state are just non-moving pixels.

Sandy solid material works like liquids, but don't move on their own (no checking for way to get lower).

Snowy solid material works like sandy, but falls slower and moves randomly left-right until touches any other material.

## Gas

Gasses will move up and float in the air.

## Liquid

Liquids have special physics. Liquids work like in real life and flow down until they cannot go anywhere. Liquids' pixels work by moving left right and bounce back if there is an collision. They won't move when they aren't allowed to, so only top pixels move. They are moving to create more real physics (They seek if there is no way to get lower.)

Some liquids' top pixels don't mive until touched or blocked.

Fire works like snow, but in opposite. Fire goes up and disappears, moves left-right (less than snowy).
SandBox Main Game

After pressing SANDBOX button in Main Menu, game will load empty black canvas (or whatever you were doing before and all settings).

Game UI:

At the bottom you can see bars with all the tools and materials which you can select and the bars can be scrolled horizontally.

Amount of bars can be set via settings. Background canvas color can also be changed.

There are 10 options in settings:

Rotating - When phone is rotated, game's gravity will adjust to the direction (Works in 8 directions: left, right, up, down, left-up, left-down, right-up, right-down).

Solid Border - You can select if all materuals that can fall will stand on borders or fall to void (Disappear after going through border).

Streams - Turning on will cause sand, water, crude oil and salt to fall down in 4 streams from top of the screen.

Thermal Vision - It can be turned on via settings and UI bars.

Show Premium - All premium items will be seen on the UI bars, after turning off they disappear and leave light grey empty square.

DEMO - After turning on, squares of diffirent materials and eraser, but same size.

Background Color - Setting background color (0-255, 0-255, 0-255)

Rows (UI bars) - Amount of rows.

Zoom - 1x-8x, zooms in the canvas (after zooming in, eveything outside disappears).

Brush size - Adjusts brush size 1px - 21px

By swiping on the screen, you can "paint" with brush with materials.
Akagiri Kazumi

**Akagiri Kazumi** is a character featured in the manga and film series "The Mole Song: Undercover Agent Reiji." As a policewoman, she develops a romantic relationship with Reiji. Akagiri is portrayed as a resilient and self-reliant woman capable of holding her own in hazardous situations. She serves as an emotional anchor for Reiji throughout his undercover operation, becoming a wellspring of motivation. Akagiri's character adds a romantic subplot to the story, highlighting the challenges and sacrifices Reiji encounters as he navigates his dual life.
Noboru Takahashi

**Noboru Takahashi** is a Japanese manga writer known for creating the manga series "Mogura no Uta" ("Mole's Song"). The series was serialized in Shogakukan's Weekly Young Sunday and later in Big Comic Spirits. "Mogura no Uta" has garnered success, with over 10 million copies in circulation as of May 2023, and it received the 59th Shogakukan Manga Award in the general category in 2014.
Reiji Kikukawa

**Reiji Kikukawa** is the central character in the manga and film series "The Mole Song: Undercover Agent Reiji." He initially starts as a highly inexperienced rookie cop with an unwavering commitment to honesty and justice. Reiji is characterized by his idealistic nature and his unwavering determination to do what's right, even if it means placing himself in perilous situations. Over the course of the series, Reiji undergoes a series of trials and tribulations as he infiltrates a formidable yakuza clan undercover. Despite his initial lack of experience, Reiji matures into a respected figure in the criminal underworld, navigating a plethora of challenging scenarios and earning his place.
The Mole Song: Hong Kong Capriccio

***The Mole Song: Hong Kong Capriccio*** is a 2016 Japanese action comedy film directed by Takashi Miike. It serves as the sequel to the 2013 film "The Mole Song: Undercover Agent Reiji" and is based on the popular manga series "Mogura no Uta" by Noboru Takahashi.

## Plot

The sequel follows the story of Reiji Kikukawa, an undercover investigator known as "The Mole," who has infiltrated the Hiura gang led by Masaya Hiura, "Crazy Papillon." Having risen to the rank of second-in-command after eliminating unauthorized members involved in illegal drug trade, Reiji finds himself entangled in a complex plot. A disgraced yakuza member forms an alliance with a Chinese gang known as the Dragon Skulls to challenge the Sukiya-kai clan's control over the Kanto Region. Shuho Todoroki, the leader of the Sukiya-kai, becomes a target, and his daughter Karen is kidnapped for a beauty auction in Hong Kong. Reiji once again faces a moral dilemma, trying to do what's right while maintaining his undercover status. Meanwhile, elite police officer Shinya Kabuto is determined to arrest Reiji, adding to the intrigue of this international conspiracy.

## Cast

* Toma Ikuta as Reiji Kikukawa
* Eita as Shinya Kabuto
* Tsubasa Honda as Karen Todoroki
* Shinichi Tsutsumi as Masaya Hiura
* Riisa Naka as Junna Wakagi
* Yusuke Kamiji as Kenta Kurokawa
* Nanao as Hufon
* Arata Furuta as Momoji Sakuraja
* Kenichi Endō as Kazumi Akagiri
* Sarutoki Minagawa as Doppo Fukuzumi
* Mitsuru Fukikoshi as Toshio Sakami
* Koichi Iwaki as Shuho Todoroki
* Ikumi Hisamatsu as Chirin
Shuho Todoroki

**Shuho Todoroki** is a character within the manga and film series "The Mole Song: Undercover Agent Reiji." As a senior member of the yakuza clan, Shuho assumes the role of a mentor and guide to Reiji. His character is portrayed as wise and experienced, providing valuable counsel to Reiji as he navigates the complexities of the criminal underworld. Shuho evolves into a crucial ally for Reiji, offering both advice and support in his mission to dismantle the drug trade. Shuho's character introduces depth and intricacy to the narrative, shedding light on the dynamics within the yakuza organization.
Sinc

The **cardinal sine**, denoted by **sinc(x)**, is a function defined has

sinc
(
x
# )

{

sin
⁡
(
x
)

/

x
,

x
≠
0

1
,

# x
0

{\displaystyle \text{sinc}(x) = \begin{cases} \sin (x)/x, & x\neq0 \\ 1, & x=0 \end{cases}}

The value at 0 is defined by using the limit value.

## Related functions

The **normalized cardinal sine** or just **normalized sinc** (symbol: **sincN**) is defined has sinN(x) = sinc(xπ) = sin(xπ)/xπ

The **twice cardinal sine**, **cardinal cardinal sine**, **cardinal sinc** or **sincc**, denoted by sincc(x) or sinc2(x) is the next iteration of the cardinal sine, is defined has

sincc
(
x
# )
sinc
(
x
)

/

# x
sin
⁡
(
x
)

/

x
2

{\displaystyle \text{sincc}(x) = \text{sinc} (x)/x = \sin (x)/x^2}

, next iterations are triple cardinal sine (sinccc = sinc3), quadruple cardinal sine (sincccc = sinc4) and so on, there's also half cardinal sine, denoted has

sinc

1

/

2

(
x
# )
sin
⁡
(
x
)

/

x

0.5

=
sin
⁡
(
x
)

/

x

{\displaystyle \text{sinc}\_{1/2} (x) = \sin (x)/x^{0.5} = \sin (x)/\sqrt{x}}
Mogura no Uta Wiki

**Welcome to the...**
**Mogura no Uta Wiki**
**14 articles • 5 files • 171 edits**

**About the wiki**

This is a Fandom wiki about the Japanese franchise *Mogura no Uta*. It plans to document all of the content from this Japanese franchise.

**About Mogura no Uta**

**Mogura no Uta** (***Mole's Song***) is a Japanese manga penned by Noboru Takahashi. Originally serialized in Shogakukan's Weekly Young Sunday from 2005 to 2008 and later in Big Comic Spirits from 2008, it inspired a 2013 live-action film titled "The Mole Song: Undercover Agent Reiji" and its 2016 sequel, "The Mole Song: Hong Kong Capriccio." (Read more...)

**Navigation**

**Manga series • Film series**

**Helpful links**

* Getting Started
* How to Contribute
* Managing your new community
* Guides
* All Help articles
Junna Wakaki

**Junna Wakaki** is another character found in the manga and film series "The Mole Song: Undercover Agent Reiji." She is a fellow policewoman and a close friend of Reiji, depicted as a strong and determined individual always ready to assist Reiji in his investigations. Junna's supportive role within the series involves offering guidance and encouragement to Reiji during his undercover missions. Her character contributes depth to the narrative, underscoring the camaraderie and teamwork within the police force.
Crime Love Wiki

The Crime Love Wiki is an online encyclopedia to the Azuki Series, “Crime Love”. Crime Love is about a girl who falls in love with a criminal. The wiki will contain spoilers, so please the careful when browsing the wiki if you haven’t watched the series yet.**ALL CHARACTERS IN THE SERIES ARE AGED 18 OR OLDER.**

♥︎ Wanted pages ♥︎♥︎ Orphaned pages ♥︎♥︎ Dead-end pages ♥︎♥︎ Uncategorized pages ♥︎

TBA

Character
TBA

Lemonsoda09
21 October 2023

 0

EP 1 IS JUST A WEEK AWAY!

EPISODE 1 IS JUST A WEEK AWAY! IM LITERALLY SO EXCITED I COULD JUST SCREAM AAHHHH!! anything made b…

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Tsukihara

**Tsukihara** is a character within the manga and film series "The Mole Song: Undercover Agent Reiji." He occupies a high-ranking position within the yakuza clan that Reiji infiltrates. Tsukihara is depicted as a shrewd and ruthless individual heavily involved in illicit activities. Serving as one of the main antagonists in the series, Tsukihara continually poses a substantial threat to Reiji's undercover mission. His character introduces tension and suspense to the storyline as Reiji endeavors to outwit him and bring him to justice.
Doppo Fukuzumi

**Doppo Fukuzumi** is a character featured in both the manga and film series "The Mole Song: Undercover Agent Reiji." He serves as a fellow police officer and a close confidant of Reiji Kikukawa. Doppo is known for his steadfast reliability and unwavering loyalty to Reiji. Additionally, he provides comedic relief to the narrative with his light-hearted and humorous personality. Doppo's role in the series primarily involves supporting Reiji in his undercover endeavors, acting as a dependable ally who assists in navigating the intricate world of the yakuza.
Cindy Bear

Cindy as she appears in The Yogi Bear Show

**Cindy Bear** is a character from The Yogi Bear Show. She is Yogi Bear's main love interest and chauffeur. She is also one of the primary supporting characters of the Yogi Bear franchise as well as a regular in the stable of frequently appearing Hanna-Barbera animated personalities. Cindy was originally portrayed by voice actress Julie Bennett, who reprised the part for most of her appearances from the 1960s through the 1980s.

## Personality

Cindy Bear is the love interest of Yogi Bear and a resident of Jellystone Park. She speaks with a pronounced Southern accent, and she carries a parasol. Cindy rarely engages in the same antics as Yogi and Boo-Boo and does not share the same antagonistic relationship with Ranger Smith. Her romance with Yogi Bear is typically portrayed as on-again/off-again, with her pursuing him while he avoids and evades her advances. Just as often, however, Yogi is shown to return her affections.

## Gallery

Cindy Bear proud that Yogi is standing up for her against another bear.Cindy with Yogi bear.
1. ↑ Template:Cite book
2. ↑ *Hey There, It's Yogi Bear!*, *Yogi's First Christmas*
Chord

**Chord** (symbol: crd) is a function that gives you the lenght of a chord in an unit circle given certain angle

## Definition

Is definied has

crd
(
x
# )
2
sin
⁡

(

x
2

)

{\displaystyle \text{crd}(x) = 2 \sin \Bigl( {x \over 2} \Big)}

Or using pythagorean addition between the sine and versine of same angle:

crd
(
x
# )

sin
2

⁡
(
x
)

versin
2

(
x
)

=

sin
2

⁡
(
x
)
(
1
−
cos
⁡
(
x
)

)
2

{\displaystyle \text{crd}(x) = \sqrt{\sin^2(x)+ \text{versin}^2(x)} = \sqrt{\sin^2(x)+ (1-\cos(x))^2}}

But only return positive values.

## Inverse function

The inverse of the chord is the arcchord:

arccrd
(
x
# )
2
arcsin
⁡

(

x
2

)

{\displaystyle \text{arccrd}(x) = 2 \arcsin \Big( {x \over 2} \Big)}

## Similar functions

The cochord (symbol: ccrd or ccd) is the shifter version of chord, instead of using pythagorean addition between sine and versine, is used between cosine and vercosine.

ccd
(
x
# )

cos
2

⁡
(
x
)

vercos
2

(
x
)

=

cos
2

⁡
(
x
)
(
1
−
sin
⁡
(
x
)

)
2

{\displaystyle \text{ccd}(x) = \sqrt{\cos^2(x)+ \text{vercos}^2(x)} = \sqrt{\cos^2(x)+ (1-\sin(x))^2}}

But the actual definition is

ccd
(
x
# )
crd
(
x
−

π
2

)

{\displaystyle \text{ccd}(x) = \text{crd}(x - {\pi \over 2})}
Mogura no Uta (film series)

The manga series "Mogura no Uta" was adapted into a live-action film series. The first film, titled "The Mole Song: Undercover Agent Reiji," was released in 2013, and it was followed by a sequel, "The Mole Song: Hong Kong Capriccio," in 2016. These films were directed by Takashi Miike and are known for their action and crime elements. The story follows the adventures of Reiji Kikukawa, the protagonist of the manga, in a live-action cinematic setting. The manga has received critical acclaim, winning the 59th Shogakukan Manga Award in the general category by 2014. It achieved significant popularity, with over 10 million copies in circulation by May 2023.
Hyperbolic sine and cosine

The hyperbolic sine (symbol: sinh) "shine" and hyperbolic cosine (symbol: cosh) "cosh" are two hyperbolic trigonometric, elemental and transcendental functions definied through differential equation:

sinh
′

⁡
(
x
# )
cosh
⁡
(
x
)
,
cosh
⁡
(
x
# )

sinh
′

⁡
(
x
)

{\displaystyle \sinh '(x)= \cosh (x) , \cosh (x)= \sinh ' (x)}

 and

sinh
⁡
(
0
# )
0
,
cosh
⁡
(
0
# )
1

{\displaystyle \sinh (0)= 0 , \cosh (0) = 1}

Are analogues of the ordinary trigonometric functions sine and cosine, but definied using the hyperbola rather than the circle.

## Definitions

Can be definied with exponentials:

sinh
⁡
(
x
# )

e
x

−

e

−
x

2

{\displaystyle \sinh (x) = {e^x - e^{-x} \over 2}}

cosh
⁡
(
x
# )

e
x

e

−
x

2

{\displaystyle \cosh (x) = {e^x +e^{-x} \over 2}}
Sine and cosine

Sine (symbol: sin) and cosine (symbol: cos) are trigonometric, elemental and transcendental function defined through the differential equations:

sin
″

⁡
(
x
)
sin
⁡
(
x
# )
0

{\displaystyle \sin ''(x)+\sin(x) = 0}

 and

sin
⁡
(
0
# )
0

{\displaystyle \sin(0) = 0}

,

sin
′

⁡
(
0
# )
1

{\displaystyle \sin '(0) = 1}

cos
″

⁡
(
x
)
cos
⁡
(
x
# )
0

{\displaystyle \cos ''(x)+\cos(x) = 0}

 and

cos
⁡
(
0
# )
1

{\displaystyle \cos(0) = 1}

,

cos
′

⁡
(
0
# )
0

{\displaystyle \cos '(0) = 0}

The derivative of sin(x) is cos(x) and the derivative of cos(x) is -sin(x).

## Definitions

Both functions can be defined for the entire domain of complex numbers and beyond using exponentiation:

sin
⁡
(
x
# )

e

x
i

−

e

−
x
i

2
i

{\displaystyle \sin (x) = { e^{xi} - e^{-xi} \over 2i }}

cos
⁡
(
x
# )

e

x
i

e

−
x
i

2

{\displaystyle \cos (x) = { e^{xi}+e^{-xi} \over 2 }}

Otherwise, complex exponentiation can be extended to the reals using euler's formula:

e

x
i

=
cos
⁡
(
x
)
i
sin
⁡
(
x
# )
cis
(
x
)

{\displaystyle e^{xi}=\cos(x)+i\sin(x)=\text{cis}(x)}

Where cis is a mathematical notation for "cosine plus imaginary sine".
Floor and ceil

The **floor function** of a number (

⌊
x
⌋

{\displaystyle \left\lfloor x \right\rfloor}

 or floor(x)) gives the largest integer less or equal to x, using modulus is equal to x - mod(x,1). Otherwise, the **ceiling function** (

⌈
x
⌉

{\displaystyle \left\lceil x \right\rceil}

 or ceil(x)) gives the smallest integer larger or equal to x, equal to -x+mod(-x,1)

## Identities

Conection between the two functions.

⌊
x
⌋

=
−

⌈

−
x

⌉

{\displaystyle \left \lfloor x \right \rfloor = - \left \lceil -x \right \rceil}

 and

⌈
x
⌉

=
−

⌊

−
x

⌋

{\displaystyle \left \lceil x \right \rceil = - \left \lfloor -x \right \rfloor}

Both functions are idempontent.

⌊

⌊
x
⌋

⌋

=

⌊
x
⌋

{\displaystyle \left \lfloor \left \lfloor x \right \rfloor \right \rfloor = \left \lfloor x \right \rfloor}

,

⌈

⌈
x
⌉

⌉

=

⌈
x
⌉

{\displaystyle \left \lceil \left \lceil x \right \rceil \right \rceil = \left \lceil x \right \rceil}
Mogura no Uta (manga series)

"Mogura no Uta," also known as "Mole's Song," is a Japanese manga series written by Noboru Takahashi. It was serialized in Shogakukan's Weekly Young Sunday from 2005 to 2008 and later transferred to Big Comic Spirits in 2008. The manga falls under the genres of action and crime and has been a long-running series with 80 volumes as of May 2023. The story revolves around Reiji Kikukawa, a young man who becomes an undercover agent, navigating the world of crime and action.
Gerald Ford

Official portrait, 1974

**Gerald Rudolph Ford** was the 38th president of the United States serving from 1974 to 1977. He previously was the leader of the U.S. House of Representatives from 1965 to 1973 and the 40th vice president under Richard Nixon from 1973 to 1974 when Spiro Agnew resigned in October 1973 in a bribery scandal. He became president once Nixon resigned in August of that year and was defeated for a full elected term in 1976 by Jimmy Carter. Ford is the only person to become US president without being elected to the presidency or vice presidency.

Ford was born in Omaha, Nebraska and raised in Grand Rapids, Michigan. He attended the University of Michigan, where he played for the school's football team before eventually attending Yale Law School. Afterward, he served in the U.S. Naval Reserve from 1942 to 1946. Ford began his political career in 1949 as the U.S. representative from Michigan's 5th congressional district, serving in this capacity for nearly 25 years, the final nine of them as the House minority leader. In December 1973, two months after Spiro Agnew's resignation, Ford became the first person appointed to the vice presidency under the terms of the 25th Amendment. After the subsequent resignation of President Nixon in August 1974, Ford immediately assumed the presidency.

Domestically, Ford presided over the worst economy in the four decades since the Great Depression, with growing inflation and a recession. In one of his most controversial acts, he granted a presidential pardon to Nixon for his role in the Watergate scandal. Foreign policy was characterized in procedural terms by the increased role Congress began to play, and by the corresponding curb on the powers of the president. Ford signed the Helsinki Accords, which marked a move toward détente in the Cold War. With the collapse of South Vietnam nine months into his presidency, U.S. involvement in the Vietnam War essentially ended. In the 1976 Republican presidential primary, Ford defeated Ronald Reagan for the Republican nomination, but narrowly lost the presidential election to the Democratic challenger, Jimmy Carter.

Following his years as president, Ford remained active in the Republican Party, but his moderate views on various social issues increasingly put him at odds with conservative members of the party in the 1990s and early 2000s. He also set aside the enmity he had felt towards Carter following the 1976 election and the two former presidents developed a close friendship. After experiencing a series of health problems, he died in Rancho Mirage, California in 2006. Surveys of historians and political scientists have ranked Ford as a below-average president, though retrospective public polls on his time in office were more positive.
Mrs. Smith

\*WARNING, THIS PAGE IS NOT MENT FOR USERS UNDER 13 THANKYOU!\*

Mrs. Smith is the mother of JJ’s ex and is the woman Mr. Johnson had an affair with, her daughter is JJ’s ex

## History

Mrs. Smith is first seen letting JJ in to her daughter’s party, she later watches the interaction where JJ’s ex gets knocked out with a frying pan and plays along with it. She is later seen at the Johnson house attending the family dinner with her daughter.

JJ later finds her and Mr. Johnson have S## together but they pass it off as playdate, she offers JJ a free boob job if she doesn’t say anything but she declines. She then wins 5 scammy tickets to Lady Gaga, Karen later walks in the scolds the two calling her a Bimbo and throws Mr. Johnson’s cup across the room and makes Mrs. Smith leave.

## Trivia

* She won’t date non-voters, bald men, firefighters, or people whose name starts with a N
Zero-factorial

The zero-factorial (symbol: x0!) of a non-negative integer n, is the product of all integers from 0 to n. Is similar to the factorial definition.

5
0

# !
0
×
1
×
2
×
3
×
4
×
# 5

0

5
¯

=
0

{\displaystyle 5\_0! = 0 \times 1 \times 2 \times 3 \times 4 \times 5 = 0^\bar{5} = 0}

## Definition

The zero-factorial of n is the product between all numbers between 0 and n, including both numbers.

n
0

# !
0
×
1
×
2
×
3
…
(
n
−
1
)
×
# n

0

n
¯

=
0

{\displaystyle n\_0! = 0 \times 1 \times 2 \times 3 \ldots (n-1) \times n = 0^\bar{n} = 0}

Where

0

n
¯

{\displaystyle 0^\bar{n}}

 is the rising factorial or pochhammer symbol.

Using product notation can be expressed has

n
0

# k
0

n

k

{\displaystyle n\_0! = \prod^{n}\_{k = 0} k}

Or using a recurrence relation

n
0

# !

{

0
,

# n
0

n
×
(
n
−
1

)
0

!
,

otherwise

{\displaystyle n\_0! = \begin{cases} 0, & n = 0 \\ n \times (n-1)\_0!, & \text{otherwise} \end{cases}}

## Extensions

### Negative numbers

Can be extended to the negative side using the recurrence relation (n-1)0! = n0!/n, however when you try to extend you got zero divided by zero: (-1)0! = 00! /0 = 0/0

### Extension to complex plane

Can be extended to any complex number using gamma function

n
0

# !

Π
0

(
x
# )

Γ
0

(
x
1
# )
0
⋅
Γ
(
x
)

{\displaystyle n\_0! = \Pi \_0(x) = \Gamma \_0(x+1) = 0 \cdot \Gamma (x)}

Where

Γ

0

{\displaystyle \Gamma\_{0}}

is the zero-gamma function,

Π
0

{\displaystyle \Pi\_0}

 is the zero-pi function (an alternative notation introduced by Gauss for shifted zero-gamma)

## Special values

The unique fixed point is 0.

For non-negative integers, the function is equal to the zero function.
Tek Knight

**Tek Knight** is a character from *The Boys*.

## History

Very little is known about Robert Vernon's early life; however, shortly after his birth, his parents accepted Vought's offer to inject him with Compound V, subsequently transforming him into a Supe and granting him superhuman powers. Robert would later attend and graduate from Godolkin University, becoming the famous superhero known as Tek Knight.

## Origins

*Main article: Acquired*
Superheroes, more commonly referred to as Supes, are a race of mutated humans who possess extraordinary powers and inhuman abilities. Originally intended to serve as soldiers in the Nazi army during the Third Reich, most superheroes currently operate as celebrities and law enforcement in America. Superheroes are created through the administration of a mysterious serum called Compound V, created by Nazi geneticist Frederick Vought.

## Powers

*Main articles: Superhuman Deduction and Superhuman Strength*
**Superhuman Deduction:** Tek Knight possesses unspecified superhuman deduction powers. This, combined with his heightened senses, makes it virtually impossible for falsehood and duplicity to occur or be uttered in his presence without Tek Knight's notice.

* ***Superhuman Vision:*** Tek Knight has extremely sharp vision, capable of seeing much better than regular humans; he saw Indira's sweat from afar, indicating her tension.
* ***Superhuman Olfaction:*** Tek Knight has a very advanced sense of smell. He was able to smell Cate Dunlap on Andre Anderson's lips.
* ***Superhuman Senses:*** Through a combination of his senses, he is able to sense of a person is lying, detect adrenaline levels, or even tell when a woman is ovulating.

**Superhuman Strength (presumably):** While not outright revealed, it can be assumed that Tek Knight has superhuman strength. During an interview with Cate, Tek Knight notices her attempting to remove her glove, most likely to use her powers on him, and in response, he threatens to dismember her hand. Indira also stated that several people interviewed by Tek Knight ended up dead or extremely injured.
Versine

The **versine** or **versed sine** (Symbol: versin, vsin) is a trigonometric function, the versine of an angle equal to 1 minus its cosine.

versin
(
x
# )
1
−
cos
⁡
(
x
)

{\displaystyle \text{versin} (x) = 1- \cos (x)}

It's hyperbolic analogue is the hyperbolic versine (versinh).

## Identities

Due to trigonometric definition:

versin
(
x
)
cos
⁡
(
x
# )
1

{\displaystyle \text{versin} (x) + \cos (x) = 1}

1
−
versin
(
x
# )
cos
⁡
(
x
)

{\displaystyle 1- \text{versin} (x) = \cos (x)}

Can be used along with sine to define the chord function.

crd
(
x
# )

sin
2

⁡
(
x
)

versin
2

(
x
)

{\displaystyle \text{crd} (x) = \sqrt{\sin ^2 (x) +\text{versin} ^2(x)}}

Is directly related to the hyperbolic versine:

versin
(
i
x
# )
1
−
cosh
⁡
(
x
# )
versinh
(
x
)

{\displaystyle \text{versin} (ix) = 1- \cosh(x) = \text{versinh} (x)}

## Related functions

There are several functions related to the versine.

The other versions of versine are coversin, vercosine and covercosine, each one defined has:

coversin
(
x
# )
1
−
sin
⁡
(
x
)

{\displaystyle \text{coversin}(x) = 1- \sin (x)}

vercos
(
x
# )
1
cos
⁡
(
x
)

{\displaystyle \text{vercos} (x) = 1 + \cos (x)}

covercos
(
x
# )
1
sin
⁡
(
x
)

{\displaystyle \text{covercos} (x) = 1 + \sin (x)}

The 4 functions (including versine) are circular-shifted versions of each other.

versin
(
x
# )
coversin
(
x

π
2

# )
vercos
(
x
π
# )
covercos
(
x

3
π

2

)

{\displaystyle \text{versin} (x) = \text{coversin} (x + {\pi \over 2}) = \text{vercos} (x + \pi) = \text{covercos} (x + {3\pi \over 2})}

### Haversine

Is also know has haversed versine, some abreviations are haversin, havers, hav, hvs, sem or hv.

hav
(
x
# )

versin
(
x
)

2

{\displaystyle \text{hav}(x) = {\text{versin}(x) \over 2}}

And the another versions.

hacoversin
(
x
# )

coversin
(
x
)

2

{\displaystyle \text{hacoversin}(x) = {\text{coversin}(x) \over 2}}

havercos
(
x
# )

vercos
(
x
)

2

{\displaystyle \text{havercos}(x) = {\text{vercos}(x) \over 2}}

hacovercos
(
x
# )

covercos
(
x
)

2

{\displaystyle \text{hacovercos} (x) = {\text{covercos} (x) \over 2}}

Consequently, his functions are also circular shifted.

haversin
(
x
# )
hacoversin
(
x

π
2

# )
havercos
(
x
π
# )
hacovercos
(
x

3
π

2

)

{\displaystyle \text{haversin} (x) = \text{hacoversin} (x + {\pi \over 2}) = \text{havercos} (x + \pi) = \text{hacovercos} (x + {3\pi \over 2})}

## Inverse

The inverse function of the versine is the arcversine (Symbols: arcversin, aversin), is definied has:

arcversin
(
x
# )
arccos
⁡
(
1
−
x
)

{\displaystyle \text{arcversin} (x) = \arccos (1-x)}
Superhuman Speed

**Superhuman Speed** is the power to move at speeds greater than the peak of human potential.

## Background

In everyday use and in kinematics, the speed of an object is the magnitude of the change of its position over time or the magnitude of the change of its position per unit of time; it is thus a scalar quantity.

Speed has the dimensions of distance divided by time. The SI unit of speed is the meter per second (m/s), but the most common unit of speed in everyday usage is the kilometer per hour (km/h) or, in the US and the UK, miles per hour (mph). For air and marine travel, the knot is commonly used.

The fastest possible speed at which energy or information can travel, according to special relativity, is the speed of light in a vacuum *c* = 299,792,458 meters per second (approximately 1,079,000,000 km/h or 671,000,000 mph).

## Known Users

### Marvel Comics

* **Aurora** is able to move at superhuman speeds by manipulating the kinetic energy of her body.
Stacy X

**Stacy X** is a character from Marvel Comics.

## History

Miranda Leevald grew up in a Texas trailer park and was popular at school until her mutant powers manifested. Fleeing from her abusive family and having no job skills and no money to support herself, she survived through sex work and used her mutant powers to benefit. While she initially worked on the streets, she was recruited by the X-Ranch. Miranda remained with the X-Ranch until the Church of Humanity burned it to the ground. At this point, Miranda joined the X-Men.

## Origin

*Main article: Inherent*
Mutants are living beings that possess a genetic trait called the X-gene. The X-gene causes the mutant to develop superhuman powers that typically manifest at puberty. Human mutants are sometimes referred to as a human subspecies Homo sapiens superior or simply Homo superior. Mutants are the evolutionary progeny of Homo sapiens and are generally assumed to be the next stage in human evolution.

Whether or not mutants are the next stage of human evolution is a source of much debate, with many humans harboring anti-mutant views and beliefs.

## Powers

*Main articles: Pheromone Manipulation and Animal Physiology*
**Pheromone Manipulation:** Stacy X is able to secrete her own pheromones upon skin-to-skin contact, allowing her to stimulate the bodily functions of others. With this power, she can induce orgasms, vomiting, adrenaline rushes, etc. After regaining her powers, she acquired the ability to project her pheromones into the air and influence people without making direct contact with her targets. She can even speed up the healing process with her pheromones.

**Animal Physiology:** Additionally, Stacy X has snake-like, scaled skin that grants her an unknown degree of enhanced durability.

## Other versions

* In the Ultimate Universe, Stacy X is the girlfriend of Mastermind, and she stays with him in the cell where he is impersonating Magneto, replacing Mystique. She later appeared in Camp Angel, camps where mutants are forced to live by the government in the aftermath of the Ultimatum Wave.
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Cecilia Reyes

**Cecilia Reyes** is a character from Marvel Comics.

## History

Raised in the Bronx by her Puerto Rican family, she is a medical doctor specializing in trauma surgery. Unlike most X-Men, she has no interest in superheroics and desires only to live an ordinary life, having been forced into the team by circumstance. Cecilia Reyes was briefly a member of the X-Men and often works to assist them.

## Origin

*Main article: Inherent*
Mutants are living beings that possess a genetic trait called the X-gene. The X-gene causes the mutant to develop superhuman powers that typically manifest at puberty. Human mutants are sometimes referred to as a human subspecies Homo sapiens superior or simply Homo superior. Mutants are the evolutionary progeny of Homo sapiens and are generally assumed to be the next stage in human evolution.

Whether or not mutants are the next stage of human evolution is a source of much debate, with many humans harboring anti-mutant views and beliefs.

## Powers

*Main article: Force Field Generation*
**Force Field Generation:** Reyes subconsciously generates a psioplasmic bio-field to increase her physical durability at all times. This field extends six inches from any point on her person and moves with her body. The field is completely invisible but will take on a glass-like translucency when activated by a threat. The field reacts to kinetic impacts, energy signatures, temperature changes, and some psionic forces. The bio-field is an extension of Reyes' body, and she feels the attacks as their effects are dispersed over the field. This power is subconscious, meaning it protects her from harm whether she wants it to or not or whether or not she is aware of the incoming threat.

Eventually, Cecilia learned how to manifest the field as a weapon. Surrounding her fists with psioplasmic force can increase the bludgeoning power behind her punches. She formed spikes to kill the Neo known as Jaeger, and she learned to expel the field outward as an attack.

## Other versions

* In the *Age of X-Man* reality, Dr. Cecilia Reyes is the Medical Instructor of the tenth year class within the Summers Institute of Higher Learning located in Winchester, NY.
* In *Days of Future Now*, Cecilia survived the death camp Neverland and tried to help Wolverine change the past to prevent "Days of Future Now" from ever happening. While watching over him, she was shot in the back by a Fantomex who was under the control of Sublime.
* In *X-Men: The End*, she had also survived Neverland and has married Beast, and they have three children named Ciaran, Francesca, and Miguel McCoy.
* In the film *The New Mutants*, Dr. Cecilia Reyes works for the Essex Corporation. She has been tasked with monitoring potential recruits until she was killed by the Demon Bear.
Lacuna

**Lacuna** (Woodstock Schumaker) is a character from Marvel Comics.

## History

Woodstock Schumaker was a young mutant to desperately wanted to join the media-drive X-Force, wanting to help the world. Strongly supported by her parents, she harassed the members until eventually being accepted to the team.

## Origin

*Main article: Inherent*
Mutants are living beings that possess a genetic trait called the X-gene. The X-gene causes the mutant to develop superhuman powers that typically manifest at puberty. Human mutants are sometimes referred to as a human subspecies *Homo sapiens superior* or simply *Homo superior*. Mutants are the evolutionary progeny of *Homo sapiens* and are generally assumed to be the next stage in human evolution.

Whether or not mutants are the next stage of human evolution is a source of much debate, with many humans harboring anti-mutant views and beliefs.

## Powers

*Main article: Time Manipulation*
**Time Manipulation:** Lacuna can create a temporary ripple in the timestream, allowing her to move about freely within a nano-second temporal period while everything else remains frozen in time.
Hepzibah

**Hepzibah** is a character from Marvel Comics.

## History

A member of the Mephitisoid species, Hepzibah was born on the planet Tryl'sart while under Shi'ar Imperial Rule. Imprisoned by the authority of the then Shi'ar Emperor D'ken, brother of Deathbird and Lilandra of the Royal House of Neramani, she first met Corsair on the prison labor world Alisbar. Corsair rescued her from a particularly gruesome death sentence (to be eaten alive at a banquet), prompting her to swear an eternal bond to him. The two met fellow prisoners Raza Longknife and Ch'od, and after escaping Alisbar, the four of them formed the Starjammers.

## Origin

*Main article: Inherent*
Mephitisoids are a race of furry humanoids with a combination of skunk and cat-like characteristics. They have night vision, retractable claws, acute senses, pointed ears, and tails. They hail from the planet Tryl'sart, third from the sun in the Cyrane Om'lr star system in the Shi'ar galaxy.

## Powers

*Main article: Animal Physiology*
**Animal Physiology:** Mephitisoids are skunk-like humanoids with several physiological differences from that of baseline humans that result in them appearing more like skunks and having skunk-like abilities.

* ***Pheromone Manipulation:*** Mephitisoids are able to emit pheromones for varying effects. While males are able to use pheromones to control other males (usually in war), females typically only use their pheromones for mating purposes. Hepzibah, however, has used her powers to alter the minds and moods of her opponents.
* ***Superhuman Olfaction:*** Mephitisoids possess a highly advanced sense of smell that enables them to detect pheromone emissions. This skill is so advanced that Mephitisoids have a form of language utilizing pheromones as evidenced by the fact that Hepzibah's real name is a combination of pheromone emissions.
* ***Superhuman Vision:*** They are able to see in the dark.
* ***Claw Manifestation:*** Mephitisoids possess retractable claws.
* ***Prehensile Tail:*** Mephitisoids have a semi-prehensile tail that is quite furry and has black and white stripes.
* ***Superhuman Agility:*** Hepzibah's agility, like all Mephitisoids, is beyond that of the natural limits of the finest human athlete.
* ***Superhuman Reflexes:*** Her reflexes are similarly enhanced, allowing her to react at speeds faster than the limits of the finest human athlete.
Misshū, Hideo

Artificer: Alchemist Level 18

Lord Misshū is the current ruler of Jade Empire after leading the lands off the Shadowlands of numerous attacks and is one of the longest standing royals of the kingdom. He is the survivor of multiple assassination attempts on his life and prior in-lines.

## Appearance

The players have yet to meet the induvial in session yet.

## Personality

Has been said to be all knowing and benevolent. He is an efficient man who gets the job done with the least amount of resistance possible.

## Relationships

### The Gado Clan

Gado, Hikaru - He has a prior relationship with his grandfather and his father. He made a promise with the head of the family at the time 130 years prior to help his family with the large amounts medical issues. He tends to a large amount of the family over the years. He is seeking out methods to help with the current issues that are there still around or not cured. However with his duties as emperor he does not have the free time to practice medicine like he used to when he was a simple apothecary he was pressured to send Gado-san to another location to seek if there were ideas or magics outside the Jade Empire that may help him.

Gado, Chieko "Mitsuki" - A former guard for Misshū-sama 85 years ago one of the only friends that are still alive from that century. He came to grew accustomed to her presence and enjoyed the times of playing Go and tea time. After her marriage into the Gado family he felt stricken from the acts of meeting her as a giesha and now her to enter a honorable family it would ruin their name. But it had the opposite effect causing them to strive and become the head of the crawdad family. With her still being one of the only people still alive and being the head lady for one of his best friends family he genuinely wishes her the best and treasures her. But seems a little sadden with this life choice of hers.

Gado, Hung - When he first meet him he thought he was an annoying kid trying to play pretend for his father. But was quick to impress him with the displays of strength their family is known for. He was more open to the idea of listening to him since his displays of bravery. He also grew to accept the task he was given of protecting the family if he was going to rule. He was a good friend.

## History

Humble beginnings as a lord of the rhino clan in the north as one of the lead tacticians of the land. He was invaluable in the defending of the Shadowlands and had a large impact in prevention of poising of some of the prior emperors.