recursal/Fanatic-Fandom huggingface dataset:
Book I Chapter IV: Welcome

## Welcome

> We followed little Tarzan in her tent. She's crazy about tying up, but she has a good heart.. I had never seen before such a good kid. I was happy. We were talking about a girl that nobody knew. She said that she had disappeared for over years. The last time she saw her was, when she was with her best friend. Her best friend is not there. That might means... a new mission starts for me. I should ask Brigitta how her best friend looks like and then find her. So sad she lost her best friend. If that would happened to me, it would be so sad. It's so bad I can't feel how painful it is but I'll find her anyway. I'll maybe ask for help from Nila. He might knows something.
> (Seguimos al pequeño Tarzán en su tienda. Le encanta amarrar, pero tiene buen corazón. Nunca había visto a una niña tan buena. Yo era feliz. Estábamos hablando de una chica que nadie conocía. Ella dijo que había desaparecido durante más de años. La última vez que la vio fue cuando estaba con su mejor amiga. Su mejor amiga no está allí. Eso podría significar... que comienza una nueva misión para mí. Debería preguntarle a Brigitta cómo es su mejor amiga y luego encontrarla. Tan triste que perdió a su mejor amiga. Si eso me pasara a mi, sería muy triste. Es tan malo que no puedo sentir lo doloroso que es, pero la encontraré de todos modos. Quizás le pida ayuda a Nila. Puede que sepa algo.
>
>

> Bad to hear that but they're searching for something. They're so so good but they are in danger, if Devaki finds them here, then I'm in danger and everybody's in danger. I did everything suck. I wish that they will find a way to get out of here soon because if Devaki finds them, they will be dead. Devaki is a demon. Some people said that she might be living over 9,000 years. Those are lot of centuries but nobody knows how to survive from here every girl that tried to escape, was later found by me dead. So sad. So sad seeing people dying. If I would be a demon, I would help people and I would give everything for them.
> (Schade, das zu hören, aber sie suchen nach etwas. Sie sind so gut, aber sie sind in Gefahr, wenn Devaki sie hier findet, dann bin ich in Gefahr und jeder ist in Gefahr. Ich habe alles zum Kotzen gemacht. Ich wünsche mir, dass sie bald einen Weg finden, hier rauszukommen, denn wenn Devaki sie findet, werden sie tot sein. Devaki ist ein Dämon. Einige Leute sagten, dass sie über 9.000 Jahre leben könnte. Das sind viele Jahrhunderte, aber niemand weiß, wie man von hier aus überlebt. Jedes Mädchen, das versuchte zu fliehen, wurde später von mir tot aufgefunden. So traurig. So traurig, Menschen sterben zu sehen. Wenn ich ein Dämon wäre, würde ich den Menschen helfen und alles für sie geben.)
>
>
Integral

The process of finding integrals is called **integration**.

* **Definite Integral**: the integral of a real-valued function

f
(
x
)

{\displaystyle f(x)}

 on

[
a
,
b
]

{\displaystyle [a, b]}

 is denoted by:

∫

a

b

f
(
x
)
d
x

{\displaystyle \int\_{a}^{b}f(x)dx}

.
* **Indefinite Integral** (a.k.a. **Antiderivative**):

∫
f
(
x
)
d
x

{\displaystyle \int f( x) dx}

 represents a class of functions whose derivative

f
(
x
)

{\displaystyle f(x)}

.

In both,

∫

{\displaystyle \int}

 indicates the operation of the integral, the function

f
(
x
)

{\displaystyle f(x)}

 is called the **integrand**. If limits on the domain of which the function is integrated are specified, we speak of a definite integral.

## Ways to Think about Integrals

* Area under the curve of a nonnegative integrable function
* Net area of an integrable function (not necessarily nonnegative, e.g. the integral of the sine function from zero to two pi has zero area).
* Inverse operation of derivative (antiderivative)

## Categories of Non-Integrable Functions

The question: 'which functions are integrable?' Doesn't seem to have a straightforward answer? (at least, I haven't found it yet. It will also depend on which type of integral?)

* Non-bounded
* Non-monotonic?
* Non-measurable?
* etc. etc.

## Types of Integrals

Riemann Integral

Lebesgue Integral

Rieman-Stieltjes

Darboux Integral
Book I Chapter II: Let's Keep it as a secret

> As I was spending time with my first and best friend we started talking about what was happening with our families. (Mientras pasaba tiempo con mi primer y mejor amigo, empezamos a hablar sobre lo que estaba pasando con nuestras familias.)
>
>

Sumak what about your family?

I don't have parents. I only have an older brother who is 15 and he only drinks and watches TV.

I feel sorry about it. I have all my family members. I have one younger brother who is a baby.

To wish someone lives, Nila. Let me tell you something... I am a Spider-Man.

SUMAK YOU WON'T BELIEVE IT!!! I AM A SPIDER-MAN TOO!!!

That's amazing. Now you are my partner...partner

Haha.

Let's Keep it as a secret. I don't want others to know our real IDs.

I guess this is the best idea.

> Strange that he was also a Spider-Man. The only difference, of course, is that he doesn't pull tissues out of his hands like I do. We have almost the same interests. He is the PERFECT BEST FRIEND!!!
> (Es extraño que también fuera un Spider-Man. La única diferencia, por supuesto, es que él no se quita los pañuelos de las manos como yo. Tenemos casi los mismos intereses. El es el MEJOR AMIGO PERFECTO!!!)
>
>
Book I Chapter III: Where are we

> After five years of me and Nila spending time together, we made a decision, to travel around the world. After two days of traveling, we went to an island which was never been seen by people. We took our bags and went in them.
>
>
> (Después de cinco años de Nila y yo pasando tiempo juntos, tomamos una decisión, viajar alrededor del mundo. Después de dos días de viaje, fuimos a una isla que nunca fue vista por la gente. Cogimos nuestras maletas y nos metimos en ellas.)
>
>
> Nila, what is this place?
>
>
> I don't know but we can ask those girls over there.
>
>
> Um...excuse me
>
>
> Kan: Who are you?!
>
>
> Elke: Kan, don't be rude to the boys
>
>
> Anka: You may scare them
>
>
> Mary: OH girls! Maybe they are tourists
>
>
> Rothio: Devaki, Habibah, Salima, Yioko, and Li-Xiao need to see them for sure!
>
>
> Odalys: Then you can live with us
>
>
> Damisy: Well, we didn't introduce ourselves to them. I am Damisy and this is my sister, Odalys and these are my friends, Kan, Elke, Anka, Mary, and Rothio.
>
>
>
> Nice to meet you, girls! I'm Sumak and this is my best friend, Nila.
>
>

> They introduced us to a Japanese woman. Her name was Yioko and she had a best friend named Li-Xiao.
> (Nos presentaron a una mujer japonesa. Su nombre era Yioko y tenía una mejor amiga llamada Li-Xiao.)
>
>

Yioko: Nice to meet you, my dear children. You are the first boys to set foot here but you have to get out of here quickly before Devaki catches you.
Li-Xiao: All these girls you see are Devaki's slaves. I know a girl who can help you get out.

> Li-Xiao gave us a picture of her and we started searching. We find nothing but suddenly a girl's voice shocked us. We stopped searching and we realized that the girl was the one we were looking for!
> (Li-Xiao nos dio una foto de ella y comenzamos a buscar. No encontramos nada, pero de repente la voz de una chica nos sorprendió. ¡Dejamos de buscar y nos dimos cuenta de que la chica era la que buscábamos!)
>
>

Brigitta: Welcome, Sumak and Nila. Brigitta is my name, hide and seek is my game.

Nila: How do you know our names?

I was following you. You can sleep to my camp scene and we will see what we can do at dawn. Do you agree?

Yes!!!
The Unknown World Wiki

**Welcome to TheThe Unknown WorldWiki!**
We're a collaborative community website about The Unknown World that anyone, including you, can build and expand. Wikis like this one depend on readers getting involved and adding content. Click the "ADD NEW PAGE" or "EDIT" button at the top of any page to get started!

## Important articles

PlaceholderA Page About Your TopicPlaceholderA Main CharacterPlaceholderThe First EpisodePlaceholderAn Important LocationPlaceholderA Key EventPlaceholderA Crucial Item

*Need help building out this community?*

* Rules of this wiki
* Getting Started
* How to Contribute
* Managing your new community
* Guides
* All Help articles

You can also be part of the larger Fandom family of communities. Visit Fandom's Community Central!

*Community Founders*: Write a good and paragraph-length description for your welcome section about your topic. Let your readers know what your topic is about and add some general information about it. Then you should visit the admin dashboard for more tips.

## MEETING THE PROTAGONISTS

### Sumak

A sporty, manly teenager who has the "Spider-Man Abilities" and tries to live a normal life. He tries to deal with school subjects, problems in his city, mafia teens, his beloved girl and of course finding real friends.

### Katya

The haughty, unique, beautiful Katya who is a half-Demon and has born with very high Intelligent quotient and eye sight and later on she becomes a hero but she prefers to keep her real ID card as a secret.

### Brigitta

The most good-hearted girl is here with all her craziness and confidence is here to help you. She wants to make people happy but she is hated for her cowardly disposition but she never gives up.
Triangleman the Great Maze

Triangleman the Great Maze was the second game in the series and is a very basic maze game. It later received a remake and a sequel. This is the last part of Octagonman's Post-Apocalyptic Gauntlet. The only story is that Triangleman needs to escape before the squaremen get him. This is one of the two canon Triangleman games to be a computer class project.
Book I Chapter I: The Meeting

> Do you know why you were born...? (¿Sabes por qué naciste...?)
>
>
> Yes, I know! (¡Sí, lo sé!)
>
>
> Why...? (Por qué...?)
>
>
> Um...Ah...I don't know...! (Um... Ah... ¡No sé...!)
>
>
> To protect the weakest people. Those who gave their lives to protect us are precious. Sumak I think you are one of them. Don't try to destroy the world with them. Be a hero. Of course, you'll want to live a normal life like everyone else. And you will make friends, and you will find a girlfriend, and you will have children, and you will have fun but...Fight...Fight...FIGHT!!!
>
>
>
> (Para proteger a las personas más débiles. Aquellos que dieron su vida para protegernos son preciosos. Sumak creo que eres uno de ellos. No intentes destruir el mundo con ellos. Ser un héroe. Por supuesto, querrás vivir una vida normal como todos los demás. Y harás amigos, y encontrarás novia, y tendrás hijos, y te divertirás pero...Lucha...Lucha...LUCHA!!!)
>
>

> I remember someone saying these words to me but...I don't know him. I don't even know my powers very well. I don't have either parents or friends. My brother doesn't care about me. All he does is drink and be lazy. I work for him and me to be happy. But I'm happy to have powers even though I've not discovered anything yet. That person said I have something different in me but I can't realize it...
> (Recuerdo que alguien me dijo estas palabras pero... no lo conozco. Ni siquiera conozco muy bien mis poderes. No tengo padres ni amigos. Mi hermano no se preocupa por mí. Todo lo que hace es beber y ser holgazán. Trabajo para que él y yo seamos felices. Pero estoy feliz de tener poderes a pesar de que aún no he descubierto nada. Esa persona dijo que tengo algo diferente en mí pero no puedo darme cuenta...)
>
>

Nila: Excuse me. Could you show me a good place to photograph Peru's landscapes?

Of course my dear friend. *The meeting* with you seems amazing! Come with me!

What your name?

Sumak Rodriguez. Yours?

Nila Grønvold. I'm from Greenland and I travel by myself to photograph different cultures and landscapes from other countries for a celebration at my country. It will make its debut 5 years by now. Would you like to come?

I will come for sure!

Do you have friends!

No...

Do you like me be your best friend?

YAYY!!! NILA FROM NOW ON YOU ARE MY BEST FRIEND!!!

I WOULD LOVE TO SUMAK!!!
Shoto

## Shoto Dorokhin

* Anime
* Manga

## Characteristics

### Hair Color

White (right)
 Crimson (left)

### Eye Color

Gray (right)
 Amber (left)

## Affiliation

### Occupation

Upper 3 (formerly)
 Hero

### Partner(s)

Duma
Sumak
Katya
Brigitta
Teresa

## Personal Status

### Relatives

Sara (wife)
 Katya (sister-in-law)
Brigitta(sister-in-law)
Duma (younger brother)
 Kira (Sister-in-law)
Robert (brother-in-law)
 Sumak(Brother-in-law)
 Nadia (sister-in-law
 Scarlett (sister-in-law)
Triangleman Wiki

**Welcome to the Triangleman Wiki!**
A Wiki dedicated to the Scratch-based video game series "Triangleman".

To get started, go to explore and find a page.

We're a collaborative community website about Triangleman that anyone, including you, can build and expand. Wikis like this one depend on readers getting involved and adding content. Click the "ADD NEW PAGE" or "EDIT" button at the top of any page

*Need help building out this community?*

* Rules of this wiki
* Getting Started
* How to Contribute
* Managing your new community
* Guides
* All Help articles

You can also be part of the larger Fandom family of communities. Visit Fandom's Community Central
Book I Chapter VI: How did you end up here

Brigitta: How did you end up here guys

We wanted to travel and explore but suddenly we arrived here. The girls though seemed to be cleaners.

Brigitta: They are slaves

Nila: WHAT

What they are doing here

Brigitta: Devaki found all these girls. I was from the first ones. Thats why you need to get out of here without Devaki sees you.

No we won't. We will stay here to help you find your friend.

Brigitta: I don't even know if my friend is here

Nila: That's why we are here

Brigitta: I thought you came from the nowhere

Ha ha

Nila: Stop teasing me. I'm trying to help you

Brigitta: Dude... Chill

> I am strange to see this girl. I would like to stay with Brigitta forever. She has a good heart. I wonder if her best friend is here. I would like to be her friend too. (Me extraña ver a esta chica. Me gustaría quedarme con Brigitta para siempre. Él tiene un buen corazón. Me pregunto si su mejor amiga está aquí. Me gustaría ser su amiga también.)
>
>
Kawa Acacia

```

## Kawa Acacia

 ### Aliases

 * Mother-in-law ( by Dyon)
* Mother ( by Ri)

 ### Title(s)

 * Queen Acacia

## Discription

 ### Vital Status

 * Alive

 ### species

 * Kitsune

 ### Gender

 * Female

 ### Age

 * 600+

## Cultivation

 ### faith seed

 * River Kitsune

 ### laws

 * Ice

## Relationships

 ### Spouse(s)

 * Edrym Acacia

 ### Relative(s)

 * Alexandria Acacia (daughter)
* Dyon Sacharro (son-in-law)

 ### Friend(s)

 * Louis Belmont
* Head Sicarius
* Nora
* Amell

 ### Enemy(s)

 * Ragnor God Clan

## Techniques/treasures

 ### weapon(s)

 * Sword

 ### technique(s)

 * Ice petal’s dance

## Status

 ### Occupation(s)

 * Queen

 ### Affiliation(s)

 * Kitsune Clan
* Elvin Kingdom

## Origin

 ### kingdom

 * Kitsune Kingdom

## First Appearance

 ### Novel

 440

```
Triangleman's Adventure 1.01

Triagleman's Adventure 1.01 is the first game in the Triagleman Series. It was released on February 08, 2019 to mixed critical reception. The game sees Triangleman endlessley killing Squaremen. The game has not plot, objective, or ending outside of what is seen in Triangleman: The True First Adventure. The only controls are the arrow keys to move and space to use the sword.
Paradise Faith Cult

Paradise Faith Cult

## History

The Paradise Faith Cult (Культ Райской Веры) was created by Duma a few years ago. People with different appearances and enchanting features went there, and when people went to visit those beautiful features, they gave money to Duma to solve their problems. Nevertheless, Duma didn't solve the problems of the people, he just said that it was going to his head. Duma was the first member until twenty-six years after Paradise Faith Cult was created. Later they discovered Katya and saw that Katya was born with hair the same color as Duma's, with two brains that can think like a group of five people, and cat eyes that glowed in the dark. Katya took advantage of this and it was a clever way to steal money. Duma understood her trick straight away but when he learned that Katya was a demon, he was afraid to testify.

## Members

### Duma

His hair could appear to be either golden or blonde and he wore it parted on his left, the shorter parts around his face seemed to fade on either side around his head, bending back in a strand that was left down his face to fall between his eyes, while the longer parts were left to pull centrally down his back in a thinning spiral.

### Katya

Her hair could appear either golden or blonde and when she is cold her hair appears to be a yellow-white color. Her eyes are a fluorescent blue color with cat-like eye pupils and like her hair, they are pale blue when she is cold. Katya has born with two brains, one normal, and one smaller, and with both of them can think of one group of five people.

### Teresa

Teresa had born with black hair which was fading into a dark blue color.

## Trivia

● Duma is sitting on the left, Katya in the middle, and Teresa on right. This symbolizes the Worth of everyone
 ○ Katya is considered the most attractive and the most talented so she was put on the throne of the highest level
○ Then Duma followed
○ Finally Teresa who is considered the inferior of the two in the Paradise Faith Cult

● Even though Katya was a level higher than Duma, he is the real leader
Octagonman

Octagonman is the main antagonist of the Triangleman series. He is the ruler of the squaremen and dislikes both Triangleman and The Judge for often killing them. Despite being in charge, Octagonman is often incompetent, notably the time when he accidentally nuked most of the world. He was killed in Triangleman 3: Origins, however he came back as a clone in Triangleman 4.

## Biographical information

### Place of death

Endless White Void (Later brought back to life)
The Judge

The Judge is an antagonist in the Triangleman Series. He is the head Judge in Triangletown and is the final say on any court ruling. He sends Triangleman to Jail because he learns Triangleman killed his parents. He dies from Octagonman's two person squareman bomb in Triangleman 4. Don't hit the Judge.
Triangleman's Adventure 2

Triangleman's Adventure 2 is the 3rd major game in the Triangleman series and a direct follow-up to Triangleman's Adventure. The gameplay is very similar to that of Adventure 1, except now there is a score and health system, both of which go up whenever a squareman is hit by the sword. At 1000 points, Anti-Triangleman spawns and must be defeated. Not much is known, but Anti-Triangleman will have a notable role in Triangleman: Rift. This game has received many updates and was the first canon inclusion of Mouth-Triangleman who has since been removed.
Triangleman: The Fighters

Triagleman: The Fighters is a two-player fighting game between Triangleman and Weird Triangleman. The game received poor reviews, however, it did get a remake with a single-player option. The only attacks are either a short range, high damage fist, or a long range, low damage sword. The game eneds when either Triangleman or Weird Triangleman reach 0 health and a winner is declared. This is the second game in Octagonman's Post-Apocalyptic Gauntlet,

Fun Facts: This was the game that broke Bmlill1552's control key for a majority of middle school. This game is also named after Sonic the Fighters for some reason.
Zm

zm is a squareman who is descendent of Supersquareman. He has been killed twice. He is initially killed by Triangleman and Weird Triangleman in Triangleman's Adventure 2.5. He then is brought back to life to join Weird Triangleman in pursuit of Triangleman. He is then killed again by mutated versions of his brothers due to the nuclear fall-out. It is reported that he will come back to life again for Adventures of zm 2.
Jensen's Inequality

For a real convex function

f

{\displaystyle f}

, with

x
1

,

x
2

,
.
.
.
,

x
n

{\displaystyle x\_1,x\_2,...,x\_n}

 in its domain, and positive weights

a
i

{\displaystyle a\_i}

, Jensen's inequality can be stated as:

f

(

∑

a

i

x

i

∑

a

i

)

≤

∑

a

i

f
(

x

i

)

∑

a

i

{\displaystyle f\left({\frac {\sum a\_{i}x\_{i}}{\sum a\_{i}}}\right)\leq {\frac {\sum a\_{i}f(x\_{i})}{\sum a\_{i}}}}

Or, if in terms of positive weights

p
i

{\displaystyle p\_i}

 summing to one (so that they can be interpreted as probabilities):

f

(

∑

p

i

x

i

)

≤
∑

p

i

f
(

x

i

)

{\displaystyle f\left(\sum p\_{i}x\_{i}\right)\leq \sum p\_{i}f(x\_{i})}

And if the function

f

{\displaystyle f}

 is instead concave, the inequality is reversed:

f

(

∑

a

i

x

i

∑

a

i

)

≥

∑

a

i

f
(

x

i

)

∑

a

i

{\displaystyle f\left({\frac {\sum a\_{i}x\_{i}}{\sum a\_{i}}}\right)\geq {\frac {\sum a\_{i}f(x\_{i})}{\sum a\_{i}}}}

Or if in terms of positive weights

p
i

{\displaystyle p\_i}

 summing to one (so that they can be interpreted as probabilities):

f

(

∑

p

i

x

i

)

≥
∑

p

i

f
(

x

i

)

{\displaystyle f\left(\sum p\_{i}x\_{i}\right)\geq \sum p\_{i}f(x\_{i})}

Alternatively, in expectations notation if

f

{\displaystyle f}

 is convex,

f
(
E
[
X
]
)
≤
E
[
f
(
X
)
]

{\displaystyle f(E[X])\leq E[f(X)]}

, or concave

f
(
E
[
X
]
)
≥
E
[
f
(
X
)
]

{\displaystyle f(E[X])\geq E[f(X)]}

.
Jarnvidr

entrance to Jarnvidr

**Jarnvidr**, the ***First City*** is the greatest of the surviving Giant Cities and it is home to the most powerful and ancient practitioners of magic to be found anywhere in the world. Foremost amongst them is the venerable Relic King, Lord Polybotes, whose indomitable spirit has guard Jarnvidr against the return of Wyrm since The Cataclysm. Although it has been hard-pressed on several occasions, never once has Jarnvidr yielded to an attacker.

Jarnvidr is a sprawling city with dozens of distinct districts, each bustling with Satyrs who move at a frenetic pace. The Skies above are filled with Great Birds, each carrying a message or perhaps a dignitary from some far off city or country. Here are housed the greatest armies of the Beastmen and also their greatest treasures. Within the city's intricate paths and streets are hidden places that hold many of the Giants' creations. There are devices of such incredible power that not even the Centaur mage-shamans dare dwell upon their nature for long. More Centaurs live in Jarnvidr than anywhere else and their powers make the air seethe or fall serene with their contemplations.

The city is dedicated to Angrboða, Lady of the Beasts.
GIGANTIC Wiki

**Welcome to the GIGANTIC Wiki!**
A wikia that tells the truths of earth's magic

We're a collaborative community website about GIGANTIC that anyone, including you, can build and expand. Wikis like this one depend on readers getting involved and adding content. Click the "ADD NEW PAGE" or "EDIT" button at the top of any page to get started!

## Important articles

PlaceholderA page about your topicPlaceholderA Main CharacterPlaceholderThe First EpisodePlaceholderAn Important LocationPlaceholderthe CataclysmPlaceholderA Crucial Item

*Need help building out this community?*

* Rules of this wiki
* Getting Started
* How to Contribute
* Managing your new community
* Guides
* All Help articles

You can also be part of the larger Fandom family of communities. Visit Fandom's Community Central!

*Community Founders*: Write a good and paragraph-length description for your welcome section about your topic. Let your readers know what your topic is about and add some general information about it. Then you should visit the admin dashboard for more tips.
Acacia Family technique

The Ancient Acacia Family technique was called: **The Tree of Life and Death.**

the Tree of Life and Death could replenish the user’s body and energy fatigue, it could also do so at long range and Not only did it have the ability to steal energy and stamina from people, it could do so from the surroundings as well. Meaning, even in the absence of people susceptible to the roots of this manifestation, however it couldn't replenish the soul while it replenished your body and energy. Meaning, you were essentially trading your soul strength for body and energy strength.

the Tree of Life and Death manifestation was highly sensitive to concentrations of energy. Which could be useful in a myriad of applications.

Being able to take energy from the air much quicker didn't just apply for battle, it applied for cultivating as well! Meaning, if you cultivated this singularity type technique, regardless of your talent for energy cultivating, you could increase your pace at absorbing energy exponentially by using the Tree! All you would have to do was lay energy stones around yourself, and your rate of absorption would accelerate! Even without energy stones, your energy cultivation speed would be nearly unmatched!
Dragons

> For when the tricksters' crowns are sundered, their powers shattered and their divinity revealed for the lies they are, the glorious legions of Wyrm will pour out from the hole within the world. And wherever they tread, the ground will be purified. And what they touch will dissolve and blow away. And when they speak, all will bow to their might . And when all ends, the world will be made to their beauteous image.
>
>

- Grimoire of Mari

The **Dragons**, also known as **Wyrms**, the **ancient enemy** and the **reptile scourge**, are malevolent, otherworldly creatures from worlds far beyond ours, the origin of evil itself in our universe, feeding off the destruction, despair, and chaos created by “lesser races” to feed their immortality. From their nightmarish fortresses and palaces within the Corrupted Worlds, these monsters watch the mortal kingdoms with envious eyes, waiting with unblinking patience for their chance to dominate and feed upon the ancient energies of the Earth.

Of the many forces that permeate the blue jewel, there are but only a few that hold total power among the Corrupted Worlds. The dark stains, in reality, seeded the emotions that lurk in the hearts of mortals, that have enthralled the world in its grip, for in a world engulfed in so much war, disease, and corruption, their presence and malign influence is all but inevitable, the planet itself holds great power that attracts any who wish to abuse it, this drew the attention of the Royal Dragons: Anu the Pale King, Ishtar the Empress, Enki the Great Meddler, Enlil the Warden of Heaven and many others.

These malevolent creatures are the strongest and most intelligent of the dragon race. They are colonizers who spread their influence across the realm of Midgard. So long as there are weak-minded species, these creatures shall continue to plague the world until it is no longer of use to them, periodically spilling forth from the tear between worlds that lie beneath at the center of the Earth. When the time of ending finally comes, these reptilian entities will seize upon the opportunity
Deya

" Deya's Grace! "

-Popular Troll invocation

**Deya the Deliverer** is the Trollhunter Goddess of bravery, artisans and guardians. She is one of -if not- the most venerated of the Trollhunters, her idolism only rivaled by Spar the Spiteful and Gogun the Gentle.

She is considered to be the savior of Trollkind, as it was she who sealed Gunmar the Black and his Army of Gumm-Gumms in the Darklands, and brought the Trolls to a new land of prosperity
Delia Patia-Neva

```

 ### Aliases

 * Delia Niveus

 ### Title(s)

 * Duke
* Hell Queen

## Discription

 ### Vital Status

 * Alive

 ### species

 * Human

 ### Gender

 * Female

 ### Age

 * 16 - start
* 39

 ### Eye Color

 * Pale green
* Blue [awakened constitution]

 ### Hair Color

 * Light brown with golden blonde
* White [awakened constitution]

## Cultivation

 ### essence gathering

 * Stage Celestial

 ### constitution

 * Infinite Ice Hell

 ### laws

 * Ice
* Sword

## Relationships

 ### Spouse(s)

 * Eli Virid

 ### Relative(s)

 * King Patia-Neva - Father
* Sophia - Mother
* Aiden - son
* Vênus Virid - sister-in-law

 ### Friend(s)

 * Dyon Sacharro - sworn brother
* Madeleine Sacharro - sworn sister
* Meiying Bai - sworn sister
* Ava Sicarios
* Alexandria Sacharro
* Kaeda

 ### Enemy(s)

 * Clyte Royal God Clan

## Techniques/treasures

 ### weapon(s)

 * Sword

## Status

 ### Occupation(s)

 * Disciple of the Niveus God Sect - Former
* Student at Focus Academy - Former

 ### Affiliation(s)

 * Patia-Neva Royal God Clan
* Niveus God Sect - Former
* Focus Academy - Former

## Origin

 ### quadrant

 * Celestial Quadrant

 ### universe

 * Celestial universe

 ### planet

 * earth

 ### realm

 * Human martial realm

## First Appearance

 ### Novel

 * 1 *(Mentioned)*
* 2

```

she is the first person Dyon meets when he arrived at Focus academy.

## appearance

Her skin had a tanned sheen to it that had to be of Hispanic origin. She had pale green eyes. Her hair flowed in the wind well past her shoulders with ascents of a golden blond permeating its light brown. Her lips were as full as her facial features.

Everything about her was warm and inviting.

**After joining the Niveus God Sect**

After she joined the Niveus God sect because of practicing their techniques her hair turned white and her eyes turned blue

## Personality

She’s has a tough exterior but is actually very naive, so much so that when she had been taken advantage of by the Niveus God Sect it was only after Dyon explained to her what had happened that she realized what they had done,other then that she’s also very kind,soft hearted and forgiving.
Functional Equation

A **functional equation** is an equation in which one or several functions appear as unknowns.

A more restricted meaning is often used, where a *functional equation* is an equation that relates several values of the same function. For example, logarithmic functions are essentially characterized by the logarithmic functional equation

log
⁡
(
x
y
# )
log
⁡
(
x
)
log
⁡
(
y
)

{\displaystyle \log(xy)=\log(x)+\log(y)}

.
Lore

In the beginning, there was nothing. Nothing but the void, and an egg. The egg cracked and eventually hatched, bringing life to a new creature, it was called Babushka. The birth of Babushka poured light into the world, he was no ordinary being, he was a newborn primordial god. Babushka began his actions by swinging his hand and created land, he swung it the other way and water placed itself next to the land, making the shore. This gave birth to a god, Babushka called him ‘Beehan’, Babushka spoke “You shall grow the trees, make new creatures and watch over them”. Beehan did as told. Another being was born to this event, Babushka called him Jormengaunder(Justin), Jormengaunder gave emotion to the creatures Beehan had created and gave them their own free will. This was it, the perfect world that Babushka had desired. He had cherished the animals and the creations of his friends, yet there was something was missing, a person, the monkeys were smart, but there was something that Beehan could have improved about them, their intelligence, their sense of godhood. Along with Justin, Babushka and Beehan, they created a man, a human. They named him Zechariah. Babushka gave him the characteristics of himself and his friends, Beehan gave him the power to talk and Justin gave him wisdom. Zechariah, as the first human, was given the immortality to watch over humans along side Beehan and Justin. This trio was called the elements. The trio continued to make humans until they accidentally created Jayden a human with inhumane characteristics. He had the power produce fire. Zechariah challenged him to a duel in hopes that he could provide peace but lost to Jayden because he was too powerful. Zechariah blessed him before his god-like powers disappeared from the oath of the duel. Jayden was able to achieve peace from the blessing, taking Zechariah’s place. Although Zech was no god, he continued to watch over the humans with his remaining immortality.

What has happened since then: Yggdrasil united
Privestia

(Priveston) Privestinaro Confederocy

Flag

The Privestia Confederacy was in The Country Republic in Minecraft Server Democratic with History

The History of Privestia

Prives Empire(524-1802)

Democratic Republic of Privestia(1927-1952)

Democratic Socialist Republic of Privestia(1954-1991)

Privestian Republic(1991-1997)

Privestian Confederacy(1997-Presents)
Zirschartin

The Zirschartin or Zischartia Was an Country in Minecraft Server the Republic of Zirschartin

## Republic of Zirschartin

(Zirschart) Ropublak op Zirschartini

Flag

### Anthem

The love Country of Zirschartin(Zirschart) To lohe Corty op Zirschartini

### Religion

Catholic(34%)Christianity(82%)Carponotist(13%)

## Citizen Members

### Government

Unitary Presidential Republic Under an Authoritarian Government

## Legislature

### Calling Code

+432

The Government Republican of Powered by Privestia

The Allies of Tahunkid Privestia Salavia
Pollenite Kingdom

**Origin**

Years after the elements downfall, Beehaan was left with an area of land devastated by explosion of the catastrophic event. When Beehaan arrived to the demolished land, he saw the abundance of wildlife struggling to find a safe place to stay. He tried to assist the raccoons and bears, when he was stopped by a swarm of powerful bees. Once the bees recognized who they were facing, they allowed Beehaan to assist them and so Beehaan began to recover the lost land. After 100 years, the whole country was finally brought together. It was so safe, one villager came over, and began to adapt to the lifestyle concerned with the myriad of trees: maple, birch, oak and more.

**The Arachno-Antho War**

Years after harmony was formed between the animals and the humans, Beehaan started to industrialize the country in relation to honey. Whilst everything seemed fine, a hidden adversity popped up. The queen spider, who was in her deep slumber for thousands and thousands of years, suddenly woke up for vengeance. The bees and the spiders had a major war years before the elements had their downfall, where the bees won by a tremendous barrage of stings. The queen spider, this time, has come to quickly producing agile and small spiders, capable of killing a man in seconds. The queen rose to the land, and the bees instantly armed themselves with potent venom, calling to the creatures in the forest for help. Beehaan led a strong army, but this time, the queen bee wasn't that weak. The power of the queen spider caused it to not die, and therefore the bees had no choice but to produce enough honey to trap the queen. The made a brittle cage, but to finalize the trap, Beehaan ordered the bees to form a giant sword of honey, stronger than anything ever made. Then the bees, after winning the war, made homes all around the country, especially on the sword for safety. After thaat everyone lived in harmony, and the Kingdom of Pollenite became one of the most well known country in the whole of CSMP.
Functions of Government

For a national government:

* Reduce transaction costs?
* Reduce information asymmetries/improve information for individuals?
* Provide public goods
* Enforce law
* Provide protection from foreign insurgents
* Provide protection from fellow citizens

Could analyze many organizations as lower-level governments.

1. ↑ “[T]he main concern ob public policy has always been with cases in which … market transactions … would be too costly to be carried out” (Ronald Coase, 1970, Social Cost and Public Policy, p.36)
Inverse Operation (mathematics)

Inverse operations are pairs of mathematical manipulations in which one operation undoes the action of the other.

* Addition and subtraction
* Multiplication and division
* Reciprocal and the original number
* Power and root
* Power function and logarithm
* Derivative and antiderivative/indefinite integral
The UNCOLB

## United Nations of CSMP’s Official Law Book (these rules will only apply until the CSMP is old enough for wars)

### Griefing Section:

* Any mobs that are specifically named as a pet by the owner are not to be harmed in any way: The consequences alter based on the amount of damage done
* Any griefing of land is punishable by death or other depending on the severity
* Any forms of theft can be punishable by death or temporary confinement

### Assault Section:

* Any form of unreasonable killings will be punishable based on severity
* An act of rebellion or war can result to a temporary confinement within the prison in No Man's Land
* A massacre in the SMP can result to a charge of 2 vibranium and confinement based on the context

### Illegal trafficking/trespassing section:

* All trades must be recorded within a book and quill in the country if this not followed then you will be charged 2 diamonds
* Everyone must have a trading license in order to trade or else you will be banned from trading for 4 hours
* Any form of underground trading under secrecy can be punishable by imprisonment
* You can only enter another person's property with permission and a ID, trespassing can get you in a 1 hour confinement
Country SMP Wiki

**Welcome to the Country SMP Wiki!**

Minecraft

Welcome to the Country SMP 5 Wiki Page! We are a community of minecraft players in a world called "Country SMP". This is where we can see our map, lore events and much more! Feel free to explore and look at the progress we have made. #TOT

## Important articles

Lore page: Lore

Law Book: The UNCOLB

Nigeria II MK II the sequel the return (nigeria 2 for short): Nigeria II MK II the sequel the return

Flores Kingdom🌸:Flores Kingdom

Pollenite Kingdom: Pollenite Kingdom

Yggdrasil United Kingdom: Yggdrasil united

*Need help building out this community?*

* Rules of this wiki
* Getting Started
* How to Contribute
* Managing your new community
* Guides
* All Help articles

You can also be part of the larger Fandom family of communities. Visit Fandom's Community Central!

*Community Founders*: Write a good and paragraph-length description for your welcome section about your topic. Let your readers know what your topic is about and add some general information about it. Then you should visit the admin dashboard for more tips.
Mathilde Family technique

It’s the manifestation technique of the ancient Mathilde family.

The manifestation of the Mathilde family was known as the **Asura's Imperial Eye**. It gave its wielder an immediate boost in combat power. This involved predicting the attacks of an opponent, seeing through their weakest points, and even executing psychic attacks that depended on one's soul strength. once the eye reached a certain level, and the opponent was within the range of the wielder's cultivation, then seeing through the opponent without even exchanging a single punch was very much possible.

Asura Imperial Eye had psychic attacks that directly correlated to killing intent. Essentially, once one chose the path of the Asura Imperial Eye, you were going down another path of cultivation. A path that included killing and warring without end. A path you only took another step forward on when you killed. for every person you killed, their animosity, hatred, and pain would become a part of Your power. the Mathilde family manifestation had the ability to steal the will of those you killed. For every genius you crushed, their future goodwill would become yours. For every young master you snuffed out of existence, their destiny would become yours. That was the way of the warrior. For every battlefield you conquered, you became stronger, your legend grew, and your name spread. And with every commander and general you killed, their glory, their success, their future - became yours.
Soul

The soul is the basis of all life and soul holds the life essence of an individual. It's what connects fleshly bodies to the universe around it. It's for this reason that you need your souls for comprehension and its also the medium of communication that allows u to use wills, intents, daos and beyond.
Laws of Probability

## Laws

* P
[
A
]
∈
[
0
,
1
]

{\displaystyle P[A] \in [0,1] }
* P
[

A
c

# ]
1
−
P
[
A
]

{\displaystyle P[A^c] = 1 - P[A] }
* P
[
A
∩
B
# ]
P
[
A

B
]
P
[
B
]

{\displaystyle P[A \cap B] = P[A | B] P[B] }
* P
[
A
∩
B
]

P
[
B
]

=
P
[
A

B
]

{\displaystyle \frac{P[A \cap B]}{P[B]} = P[A | B] }
* P
[
A
∪
B
# ]
P
[
A
]
P
[
B
]
−
P
[
A
∩
B
]

{\displaystyle P[A \cup B] = P[A] + P[B] - P[A \cap B]}
* Law of total probability:

P
[
A
# ]
∫
P
[
A

# X
x
]
d

F
X

(
x
)

{\displaystyle P[A] = \int P[A|X = x] dF\_X(x) }

 if continuous, or

P
[
A
# ]

∑
n

P
[
A
∩

B
n

# ]

∑
n

P
[
A

B
n

]
P
[

B
n

]

{\displaystyle P[A] = \sum\_n P[A \cap B\_n] = \sum\_n P[A|B\_n] P[B\_n] }

 if discrete.

need to add measure-theory axiomatic-based proofs.
Elvin Kingdom

## Elvin Kingdom

### Level

* Emperor God ( formerly )
* God ( currently )

## Influence

### Allies

* Celestial Deer Sect
* Belmont Royal God Clan
* Pakal God Clan

### enemies

* Ragnor God Clan
* Aumen Royal God Clan
* Clyte Royal God Clan
* Cavositas God Clan
* Niveus God Sect

## Royalty

### Prince & Princess(s)

* Alexandria Acacia
* Dyon Sacharro ( prince consort )

## Members

### Genius(s)

* Alexandria Acacia
* Akash Sigebryht
* Zaltarish Sigebryht
* Jade Eostre ( former )
* Aeson Acacia
* opal Conventine
* mithrandir Norvile
* Primrose Aedre
* celine Ingram

### grand Elder

* Grand elder Kroak
* Grand elder Cormyth
* Grand elder Deryth

### Elder

* Elder Flyleaf
* Elder Erunonidan

### Notable Members

* Sinaht sigebryht
* Wyn Eostre
* Kymil Nodin
* Darcassan Fletcher

## Organizations

### Clan(s)

* Ancient Acacia Family (current royal family
* Ingram major Family
* Sigebryht major Family
* Norvile major Family
* Grimbold major Family
* Eostre major Family
* Nodin major Family
* Aedre major Family
* Conventine major Family
* Fletcher major Family

### Institution(s)

* Acacia academy
* Mathilde academy
* Florence academy

### association

* Formation Guild
* Alchemy Guild
* blacksmith guild

## Origin

### universe

* Elvin universe ( deserted )
* Unnamed universe
Clara Sacharro

* 1
* 2

She is a girl from the mortal realm and also Dyon’s Childhood crush.

## Appearance

**First appearance**

She had long brunette hair and eyes so a pale blue that they were actually grey. She had a fair caramel skin tone that made it obvious she was of mixed race, and she had delicate and soft features that were a striking dichotomy to the cold that permeated her eyes.

**after absorbing half of the accumulated body talent**

Her gorgeous caramel skin grew softer, and her grey eyes grew brighter. she had grown in elegance and grace, something impossible to put into words. Clara was already an otherworldly beauty, one rivaling Ri and Madeleine without a doubt. This was something that was gifted to her by her soul talent. It had cleansed her in a way other mortal women just couldn't match. However, there was something overwhelming about her presence now. Almost as though she was sculpted by the hands of a master The perfection of a female form only meant to be looked at, but never blasphemed.

1. ↑ Chapter 865
Celestial

Celestial will is a will extremely close to becoming a supreme law, the reason that celestial will isn't known as a supreme law is because it takes a special type of person to raise it to such a level.

Celestial Will is special. And the people who can make it shine at its full capacity are even more so.

its the second ranked purity will, ranked lower then the Holy light supreme law
Book I Chapter V: Many girls but none like her

## Many girls but none like her

Sumak: Tell us about your best friend!

Nila: She might misses you

Brigitta: Oh okay then. Me and my best friend. What a wonderful story. I was a little kid I had no friends and I wasn't going to school anyway. I was hated by everyone because I was something like crazy but I really didn't care. Even though the things change that it's so sad that I lost her. Katya was her name. It's been a long time since I saw her. She had very very gorgeous eyes that if you look into them some people said that you might be dreaming in the next few seconds. Once she came to my country she was so loved by my sister. Everything finished when we came there. It was a camping before we come but then something changed and after 2 days. I never saw her again. I always think that she sees me and I wish I could see her too.

Sumak: I'm sorry about it. I wish that I could be your friends too. Me and Nila.

Nila: don't worry you will find great friends anyway.

Brigitta: I know, I met you... guys.
Weapons

Weapons are items created by forging masters that help make cultivators stronger. Weapons can increase a cultivators strength, speed, defense and any other attribute there is. Weapons are split into six major grades with 12 levels associated with each grade. In order to bring out the full power of a weapon a cultivator must have the corresponding cultivation.

There are two paths a weapon can take, the common path and the legendary path. Common path weapons are standard treasures, they require the strength of the user to activate their abilities. Legendary path weapons are separate from whoever uses them because they draw power from the universe. This means that an essence gatherer and a dao formation cultivator would be able to draw the same amount of power from a legendary path weapon. There are no know legendary path treasures (though some consider heaven's children to be) but there are pseudo-legendary treasures. They draw on the universes power but how much it can draw is dependent on the user.

## Grades

* Common (Foundation)
* Practitioner (Meridian Formation)
* Master (Essence Gathering)
* Grandmaster (Saint)
* Transcendent (Celestial)
	+ Comet Grade (Transcendent 1-6)
	+ Moon Grade (Transcendent 7-12)
* spiritual (Dao Formation)
	+ Planet grade (spiritual 1-6)
	+ Star grade (spiritual 7-12)
	+ Pseudo-weapon of the 33 heavens (spiritual 10-12)
Space (math)

A **space** is a set, with additional structure.

I think 'space' tends to refer to vector spaces in the examples below? No: vector spaces a types of spaces.

Note necessarily; a topological space is not a vector space per se?

## Types of spaces

Add some collects of spaces by characteristics that are useful

## List of spaces

* Euclidean space
* Metric space
* Vector space
* Normed vector space
* Topological space
* Inner product space
* Hausdorff space
* L

p

{\displaystyle L^{p}}

-space
* Banach space
* Hilbert space
* Manifold
* Algebra (the ones below are the additional structures, not the spaces themselves? E.g. for algebra, the space would be 'field of sets'?)
* Sigma-algebra
* Pi-system
* Lambda-system

Add a table with types of conditions and how the different definitions of spaces satisfy conditions.

## Overview of spaces

The image below gives an overview of different mathematical spaces. The colors correspond with the domain of mathematics it would most likely be found in. Yellow: topology, blue: algebra, green: analysis, orange: manifold theory.

1. ↑ By Eric Platt. Found here: https://mathematicalspaces.quora.com/A-Map-of-Mathematical-Spaces
Amphorae Sacharro

```

## Amphorae Sacharro

 1

 ### Aliases

 * Amphorae Pakal

## Discription

 ### Vital Status

 * Alive

 ### species

 * Angel

 ### Gender

 * Female

 ### Age

 * 49 ( First life )
* 400+  ( Current life )

 ### Eye Color

 * Blue

 ### Hair Color

 * Red
* White ( Angel form )

## Cultivation

 ### essence gathering

 * Middle Dao Formation Stage

 ### body tempering

 * Middle Dao Formation Stage

 ### bloodline

 * Asura
* Angel

 ### laws

 * Holy light

 ### grade

 * Peak First grade

## Relationships

 ### Spouse(s)

 * Dyon Sacharro

 ### Relative(s)

 * Minister Akhekhu
( father ) first life
* Sargerus Pakal
( father ) current life
* Madeleine Sacharro
( sister wife )
* Alexandria Sacharro
( sister wife )
* Clara Sacharro
( sister wife )
* Luna Sacharro
( sister wife )
* Evangeline Sacharro
( sister wife )
* Zaire Sacharro
 (Brother-in-law)
* Lyla Sacharro
 (sister-in-law)

## Techniques/treasures

 ### treasure(s)

 * Golden Dragon Lyre

## Status

 ### Occupation(s)

 * Princess of the Demon Sage Empire
* Queen of the Angel Clan  ( first life )

 ### Affiliation(s)

 * Pakal Clan
* Angel Clan ( first life )

 ### allegiance(s)

 * Angel Clan  ( first life )

## Origin

 ### planet

 * Haven

## First Appearance

 ### Novel

 * 737

```