recursal/Fanatic-Fandom huggingface dataset:
3.4.54

Parece que no esta a nuestro alcance calcular la derivada de

f
(
x
# )
s
e
n
(
x
)

{\displaystyle f(x)=sen(x)}

 pero podemos aproximar la función en cualquier

x

{\displaystyle x}

 por medio de

Δ
f

Δ
t

{\displaystyle {\Delta f \over \Delta t}}

 y un

Δ
x

{\displaystyle \Delta x }

 adecuado. Grafique la aproximación de

f
′

(
x
)

{\displaystyle f'(x)}

 para

Δ
# x
2

{\displaystyle \Delta x=2}

,

Δ
# x
1

{\displaystyle \Delta x = 1}

,

Δ
# x
0.1

{\displaystyle \Delta x=0.1}

y

Δ
# x
0.0001

{\displaystyle \Delta x=0.0001}

. ¿Le parece conocida la gráfica de la aproximación? ¿Tiene alguna conjetura para la derivada de

s
e
n
(
x
)

{\displaystyle sen(x)}

 ? ¿Cuál es su derivada según las tablas de derivadas?

Sabemos que

f
′

(
x
)

{\displaystyle f'(x)}

 puede aproximarse por el cociente de diferencias

f
′

(
x
)
≈

f
(
x
Δ
x
)
−
f
(
x
)

Δ
x

{\displaystyle f'(x)\approx {f(x+\Delta x)-f(x) \over \Delta x}}

 .

Graficamos

f
(
x
# )
s
e
n
(
x
)

{\displaystyle f(x)=sen(x)}

Para

Δ
# x
2

{\displaystyle \Delta x=2}

g
(
x
# )

s
e
n
(
x
2
)
−
s
e
n
(
x
)

2

{\displaystyle g(x)={sen(x+2)-sen(x) \over 2}}

Para

Δ
# x
1

{\displaystyle \Delta x = 1}

g
(
x
# )

s
e
n
(
x
1
)
−
s
e
n
(
x
)

1

{\displaystyle g(x)={sen(x+1)-sen(x) \over 1}}

Para

Δ
# x
0.1

{\displaystyle \Delta x=0.1}

g
(
x
# )

s
e
n
(
x
0.1
)
−
s
e
n
(
x
)

0.1

{\displaystyle g(x)={sen(x+0.1)-sen(x) \over 0.1}}

Para

Δ
# x
0.0001

{\displaystyle \Delta x=0.0001}

g
(
x
# )

s
e
n
(
x
0.0001
)
−
s
e
n
(
x
)

0.0001

{\displaystyle g(x)={sen(x+0.0001)-sen(x) \over 0.0001}}

f
′

=
c
o
s
(
x
)

{\displaystyle f'=cos(x)}
4.2.66

66-. Derive la siguiente función (con las reglas de derivación ya vistas)

f
(
x
# )
3
(
2

x

5

x

3

)
−
17

x

4

{\displaystyle f(x)=3(2x^{5}+x^{3})-17x^{4}}

Ocupando la regla

[
(
c
f

)
′

(
x
# )
c
(

f
′

(
x
)
)
]

{\displaystyle [(cf)'(x)=c(f'(x))]}

:

f
′

(
x
# )
3
(
2
(

x

5

)
′

x

3

)
′

−
17
(

x

4

)
′

{\displaystyle f'(x)=3(2(x^{5})'+x^{3})'-17(x^{4})'}

Ocupando la regla del exponente:

f
′

(
x
# )
3
(
2
⋅
5

x

5
−
1

3

x

3
−
1

)
−
17
(
4

x

4
−
1

)

{\displaystyle f'(x)=3(2\cdot 5x^{5-1}+3x^{3-1})-17(4x^{4-1})}

f
′

(
x
# )
3
(
10

x

4

3

x

2

)
−
17
(
4

x

3

)

{\displaystyle f'(x)=3(10x^{4}+3x^{2})-17(4x^{3})}

Multiplicando:

f
′

(
x
# )
30

x

4

9

x

2

−
68

x

3

{\displaystyle f'(x)=30x^{4}+9x^{2}-68x^{3}}
4.2.63(a)

Demostrar mediante la definición de derivada y el proceso de límite:

Si

f
(
x
# )

1
x

{\displaystyle f(x)={1 \over x}}

 entonces

f
′

(
x
# )
−

1

x

2

{\displaystyle f'(x)=-{1 \over x^{2}}}

Definición de la derivada

f
′

(
x
# )

lim

Δ
x
→

0

f
(
x
Δ
x
)
−
f
(
x
)

Δ
x

{\displaystyle f'(x)=\lim \_{\Delta x\to \ 0}{f(x+\Delta x)-f(x) \over \Delta x}}

f
(
x
# )

1
x

{\displaystyle f(x)={1 \over x}}

 y

f
(
x
Δ
x
# )

1

x
Δ
x

{\displaystyle f(x+\Delta x)={1 \over x+\Delta x}}

Entonces tenemos que:

f
′

(
x
# )

lim

Δ
x
→

0

1

x
Δ
x

−

1
x

Δ
x

{\displaystyle f'(x)=\lim \_{\Delta x\to \ 0}{{1 \over x+\Delta x}-{1 \over x} \over \Delta x}}

=

lim

Δ
x
→

0

x
−
(
x
Δ
x
)

(
x
Δ
x
)
(
x
)

Δ
x

{\displaystyle =\lim \_{\Delta x\to \ 0}{{x-(x+\Delta x) \over (x+\Delta x)(x)} \over \Delta x}}

=

lim

Δ
x
→

0

x
−
x
−
Δ
x

(
x
Δ
x
)
(
x
)

Δ
x

{\displaystyle =\lim \_{\Delta x\to \ 0}{{x-x-\Delta x \over (x+\Delta x)(x)} \over \Delta x}}

=

lim

Δ
x
→

0

−
Δ
x

(
x
Δ
x
)
(
x
)

Δ
x

{\displaystyle =\lim \_{\Delta x\to \ 0}{{-\Delta x \over (x+\Delta x)(x)} \over \Delta x}}

=

lim

Δ
x
→

0

−
Δ
x

Δ
x
(
x
Δ
x
)
(
x
)

{\displaystyle =\lim \_{\Delta x\to \ 0}{-\Delta x \over \Delta x(x+\Delta x)(x)}}

=

lim

Δ
x
→

0

−
1

(
x
Δ
x
)
(
x
)

{\displaystyle =\lim \_{\Delta x\to \ 0}{-1 \over (x+\Delta x)(x)}}

Evaluamos el límite:

=

−
1

(
x
0
)
(
x
)

{\displaystyle ={-1 \over (x+0)(x)}}

=
−

1

x

2

{\displaystyle =-{1 \over x^{2}}}
Three

“Yes. I agree. The sky does look nice, One. I’m glad we’re friends.” - Three, The First Episode

## Who is Three?

Three is a number and a member of the Number Squad. She was the first main character introduced in the series. She first appeared in The First Episode looking up at the beautiful sky.

## Appearance

Three is a red number with light red limbs and scarlet eyes. She has three eyelashes on her top eyelids. When fused with One, they make 13, a purple number.

## Personality

Three is a judgmental character. She always judges people by their covers and hates it when people laugh at her name. The most notable examples are with Two and Four (see A Main Character for some information about her).

Three is also Four’s birth mother, as she was only seven years old when she gave birth to Four, much to the confusion of Four.

Despite all of this, Three gets flustered very easily when she's around One. She often gets made fun of by most of the other numbers because of this.

## Relationships

Three is One’s best friend. They are always seen together. Three doesn't really have many other friends due to her introverted personality.

Three has a neutral relationship with her two birth daughters, Four and Yellow Four. Yellow Four never laughs at Three’s name, but Four does, which results in Three telling Four off for making fun of her.

## Her Objects in Flight Quotes

FurbyFlash457 can edit this bit.

* “I wish I could teleport. Honestly, One could've just grabbed my arm so I could come out on the other side with her and H, but nope, no, just leave me here, alone.. Yeah.. Who built this wall, anyway?” - Three, OIF 1: Sprouting Wings.
* "This wall must be made of bedrock or something. Ow.." - Three, OIF 1: Sprouting Wings.

## Trivia

* She is the first character introduced in the series.
	+ She is also the second to speak
* She is one of the hosts of Objects in Flight, along with One, even though we know nothing about the show (except FurbyFlash457, because she made the show).
* She is 34 years old
* She enjoys sunsets
* Her favourite cake is red velvet
* Her favourite colour is red
* She is best known for being part of the fusion 13
* Her favourite hobby is playing catch with Five
1.1.8

Jason y Debbie salen de Detroit a las 2:00 PM, manejan a una velocidad constante al Oeste por la I-90, Pasan por Ann Arbor, que está a 40 millas de Detroit a las 2:50PM.

a) Exprese la distancia recorrida en términos del tiempo transcurrido:

50
m
i
n
u
t
o
# s
40
m
i
l
l
a
s

{\displaystyle 50minutos=40millas}

5
m
i
n
u
t
o
# s
4
m
i
l
l
a
s

{\displaystyle 5minutos=4millas}

1
m
i
n
u
t
# o

4
5

m
i
l
l
a

{\displaystyle 1minuto={\frac {4}{5}}milla}

⇒
d
i
s
t
a
n
c
i
# a

4
5

t

{\displaystyle \Rightarrow distancia={\frac {4}{5}}t}

 (contando t en minutos)

b) Realiza la gráfica de la ecuación obtenida el inciso anterior (a):

c) ¿Cuál es la pendiente de la línea?¿Qué representa?

La pendiente es 4/5

Representa la velocidad constante que el vehículo llevaba durante el viaje, que es de 4 millas cada 5 minutos, o 0.8millas por minuto.

Problema equivocado debajo:

## Funciones definidas por partes.

Una función definida por partes es aquella que está definida en distintos pedazos, cada uno con sus diferentes imágenes. Este tipo de funciones se dicen que no están definidas uniformemente, esto por la variedad de resultados que pueden mostrar dependiendo el intervalo de elementos que agarremos del dominio.

### Evaluar la función por partes

f
(
x
# )

{

3
x
,

Si

x
<
0

x
1
,

Si

0
≤
x
≤
2

(
x
−
2

)

2

,

Si

x
>
2

{\displaystyle f(x)={\begin{cases}3x,&{\text{Si }}x<0\\x+1,&{\text{Si }}0\leq x\leq 2\\(x-2)^{2},&{\text{Si }}x>2\end{cases}}}

 con los valores

f
(
−
5
)
,
f
(
0
)
,
f
(
1
)
,
f
(
2
)
,
f
(
5
)

{\displaystyle f(-5),f(0),f(1),f(2),f(5)}

.

Tabla de resultados
 0
 1
 2
 5
The Titan's Curse

*The Titan's Curse* is the third edition of the PJO series. The war with Kronos is drawing steadily near as he rises from the golden coffin, taking on Luke Castellan's form. Grover Underwood, a satyr, senses that there are two powerful demigods in Westover School-children of Hades, Bianca and Nico di Angelo. Percy finds himself in a fight with a manticore, and the Hunters of Artemis rush in to help. Bianca di Angelo soon joins the Hunt, leaving young Nico devastated and angry. Artemis is soon caught by a strange monster while trying to save the Ophiotaurus. A prophecy says that five people, Hunters and campers combined, must save the goddess:

*Five shall go west to the goddess in chains,*

*One shall be lost in the land without rain,*

*The bane of Olympus shows the trail,*

*Campers and Hunters combined prevail,*

*The Titan's curse must one withstand,*

*And one shall perish by a parent's hand.*

Zoë Nightshade, the lead Hunter, dies at the hand of her father, Atlas. Percy has to withstand the Curse of Kronos, Thalia Grace soon becomes a Hunter despite her quarrel with Zoë, Bianca dies while trying to save Percy, and Grover thinks the satyr god of the wilderness, Pan, is near. How can everyone get along with *that?*
Lost Island

"???"

Elements: Swog

Lumber, Slime, Playtime, Star, Construction

Single Elements: Limberjack, Groundmush, Octophone, Woolawish, Construct-O

Double Elements: Slimedheads, Toteem Pole, Mandostrich, Sitaria, Slim-O, Swog, Beatpad, Synthowl, Gamble, Stoggosaurus

Triple Elements: Shinnuvox, Drummilet, Lumberdrums, Starable, Colorflyer, Pirranap, Blujo, Skeleslap, Slimechoir, Minospiel

Quad Elements: Yodelay, Chainslap, Lumberflute, Mhisp, Bassball

Quint Element: Elemantool
Attalki Seer/Aero

## "I hate you Aero."

### -Attalkiseer

Two Spirits trapped in one mind, posessing two Bodies at once. **Attalkiaero** and **Attalkiseer**. These two are Part of the **Fragment** Faction, altough **Attalkiseer** mostly tends to be **Neutral**. It is speculated that Aero is a split personality that inhabits Attalkiseer. Altough they are very similar in **Name** and **Emblem,** they (most of the Time) tend to hate eachother.

At one Occasion during the Faction War, **Attalkiaero** actually rescued **Attalkiseer,** removing the Hate barrier between the two. During the last hours of the War, they fought side by side, until the **Thought Inquisition** reversed the Time flow. After the **Timeline reset**, they hated eachother again.

**Attalkiaero** is the **Boss** of the **Fragment** Faction. He was the one who created the **Bog Virus** in the First Place, because of his own sheer Greed. After he had realised what monstrosoty he had created, he tried everything in his Power to stop the **Bog Virus**.

> **"(...) Yes, that means *i will blow myself up.* Do not fail me. Kill them all."** -Attalkiaero
>
>

   **Attalkiaero** was a Guard at the Top secret Containment Site of **Theta** that belonged to the **Fragment** Faction. He was one of the First Victims that fell to the **Bog Virus**. He later played a Major role in the Advancement of the Virus. His main goal however, was not to kill his second self, it was to infect the whole World.

He himself commanded thousands of Bog Specimens to take over the Fragment base **PHI**. It held a massive **Space Gun**, that would allow the **Bog Virus** to unleash their Spores Worldwide and crush all the opposing **Factions**. However, He was captured by **Attalkiaero** and was imprisoned inside of a piece of Plastic. This Inprisonment would be broken by **The Second Wave**. In the Second Wave of the Faction War, Attalkiseer played a minor role. This time, he was very unsure of his Position inside of **Bog Virus** Army. And he would later be cured with a dart that was filled with the cure. *After the Second wave, Attalkiseer was shortly Imprisoned again, but pardoned by **Attalkiaero***.

**Fun Fact**: Attalkisser really hates calling something "cool", it annoys him
A Main Character/ Relationship Stats

**This page covers the relationship status of Four(A Main Character) with other characters. Whilst Four has been friends with everyone, there are some characters she’d rather not be friends with!**

## The Number Squad

This section is gonna be long.

* One - Four and One have had a strange relationship. One sometimes mocks Four when she gets upset, usually resulting in him laughing at Four. He never once shows sympathy for Four, even at the tough times. Their relationship status is marked as “frenemies”.
* Two - Four and Two’s relationship has been a bit crazy. There have been times where they’ve been having nonsensical arguments, which results in their relationship crumbling at times. However, there have been some moments where Two cared about his cousin Four, such as in Divisive Mum, where he was crying alongside her when she continued crying. Their relationship status is “friends(on Four’s side)”.
* Three - Four and Three have been shown to have some negative parts of their friendship. It always descends into chaos, and has to be resolved by hugs. Their relationship status is “just friends”.
* Five - Four and Five’s friendship has been strong. They both became friends when they were children. Their relationship status is “best friends”.
* Six - Six is one of Four’s many friends who listens when she is sad or angry. Relationship status is “friends”
* Seven - Seven(Vice President)’s relationship with Four has been good. They both like to hang out near the Minesweeper sandbox and play Minesweeper. Their relationship status is “friends”.
* Eight - Eight(President) and Four are friends.
* Nine - same as Eight, but more friendlier. Nine is cool, and that’s what Four likes best about her.
* Zero - Four and Zero have had no connection in the show. Their relationship status is “unknown”
* X - Cohost (X) and Four have a very solid friendship. Their relationship status is “best friends(Seasons 1 - 10)” and “girlfriends(Season 11)”. They reunited in BFB 17 In a Nutshell
* Kratcy - Four and Kratcy are a couple. They never argue, and that marks their relationship status as “Dating”
* Yoshka - Yoshka doesn’t know Four that much.

## Minor and Supporting Characters

* Four Ze Simp - fellow YouTuber and PonyCentral despiser, Four Ze Simp is one of Four’s closest friends. She and Four are still friends to this day
* Fourtle - also known as “the pet”. Fourtle(Number Squad) is one of Four’s best friends
* Firey - Four and Firey are frenemies
* Leafy - Four and Leafy are best friends
* Profily - they are on good terms with Four
* Purple Face - Four and PF are also best friends
* Announcer - Four and Announcer are on good terms
* Spongy - Spongy has been shown to have a savage side to his personality, as he made Four cry twice in BFB 17 In a Nutshell
* Taco - Taco hugs Four when she doesn’t stop crying in BFB 17 In a Nutshell
* Lollipop - she’s the one who trained Four to be a better person
Sboven

> **"All I want is peace and harmony but everyone just looks at their own goals without thinking of others...."**
>
>

> -Sboven (probably)
>
>

**Sboven** is a guy wearing a purple balaclava draws pixel art sometimes and really likes dark purple.

#### **Early days**

**Sboven** (previously known as **Darth Sboven The Chungus**) came relative to other users later into the Kek or Cringe Society's non warring days though not active until recent times he sometimes posted kek sometimes cringe but only slightly before the first Faction War he decided to give up the Chungus Crown and let him only be known by his name and his bit horny nature

#### **Faction Wars**

**Sboven** tried his best to fight against the Bog Virus and its "ideals" usually with support from other factions. **Clashing** with the Chad Church Faction due to him being happy with how his life is and not wanting Chad Intervention. He Usually patrols the Kek or Cringe deserts in search of The Bog Virus's loose specimens to kill with mild success. He never participated in recent large scale conflicts yet.

Sboven is also the leader of a Single-Man Faction named after him, Sboven. It was orginially a sign of Protest agains the Creation of the Factions, however it has become a goal of Sboven to recruit more Members for his Faction in order to increase his power of Voice in the Faction War.

#### **Trailer appearance**

In the Official Trailer for the Kek or cringe Faction war, he can be spotted as a mysterious Person that turns around to face the player. Not much is known about this Encounter. The Video can be found here.

https://www.youtube.com/watch?v=pEH65fD67VI The scene described is the last scene in the trailer.
The Byrne Republic

The Byrne Republic was a short lived Faction that began its Existense at the End of the Third Wave.

> "~Letting the Days go by...... Let the Water hold me down...."
>
>

* **Status:** Unknown
* **Membercount:** 7
* **Leader:** None
* **Noteable Members:** Coffee, Master Gremlin, Attalkiseer
* **Emblem/Flag:**
Jae206

## Appearance, Description, Alliances

Jae, IGN Jae206, has been a member of the Surpher since the beginning. Jae uses she/they pronouns. They have short brown hair and black eyes, and a cheerful smile.

## Second Age History

Little is known about Jae's involvement in the Second Age. We do know that they were vice president of L'Manberg while Fox was president. When Fox was accused of killing Coffee's horse and slain by Coffee, Jae discovered Fox as a ghost. Coffee seized power and renamed the country Manberg, banishing Jae to the wilderness.

## Third Age History

Jae is still in banishment to this day. At one point Alex found a compass to their banished home in their old house, and Alex and Addy traveled there to meet her and ask for answers about the Second Age. Jae refused to tell the Neolympians anyone else's past, but did reveal to them what happened with Fox and Coffee and their banishment. After this Jae escorted them out of her house and politely refused to reveal anymore.
The Second Wave

The Second Wave began as the Bog Virus escaped its Containment at the ARM Faction's Main Base. It stretches from its Containment breach until the Timeline reset.

### **Beginning**

It all began very suddenly. The Leader of the A.R.M. Faction - Buckles, was captured and infected by the Bog Virus Specimen that he tried to hide for himself. With all of the Strenght of the A.R.M. Faction now on its side, it freed other left over Bog Specimen and terrorised the whole World again. The other Factions had to unite yet again to bring up a Resistance against the Virus.

### **Progress**

As the Virus spread once again over the entire World the Fragment Faction's leader had enough of the Virus Existense. Attalkiaero gave all Bog Virus' Members a warning. He would launch a Rocket filled with cure, 30x stronger than usual, right into their Headquarters. It would be so strong to finally rid the entire World of the Virus once and for all. After the Warning was issued, the Virus tried many things in insuring that it would survive. However it the Factions destroyed all of their Space launch Sites after launching themselves into Space. The Virus was trapped on Earth and could only struggle. However they managed to hide a Sample of their Code somewhere, where nobody would ever notice it.

### **Ending**

The Second Wave officially ended after the Launch of the Cure Rocket. The Factions returned to their Bases and slowly began to rebuild their Homes. However the Earth was scarred after all of the War and was practically unuseable. The Factions came up with one last Plan to finally end the War against the Virus and return to the World they knew. It was later known as the Timeline reset.

The Timeline reset was also fought over since not all Factions agreed to proceed with it. In the end it was executed and the Timeline was reset. However nobody had noticed that the Hidden Sample that the Bog Specimen hid, followed them.
Cheasecakes

Julia, IGN cheasecakes, has been on the Surpher since the very beginning. She is a member of Patchworkfam and helped Alex to found Bookedup, which they now co-own. She rarely goes by cheasecakes and uses Julia most frequently.

## Pre-Surpher

Julia was born with an axe in her behind. It is unclear whether she was born quite large or the axe was born quite small, as they are now both normally sized, but either was she survived the experience. The axe is named Vin Diesel, and is Julia's primary weapon.

## First Age History

Julia and Alex built Bookedup in the first two weeks of the Surpher, putting a lot of time into building the store. will write more soon
2.1.25(B)

Jane decidió dar un paseo en bicicleta

i. Pedaleo por la calle a 300 metros por minuto la primera media hora

ii. Los siguientes 3 minutos aumentó su velocidad de manera constante a razón de 40metros por minuto

cada minuto.

i
)

f
′

(
x
# )
300

m
e
t
r
o
s

m
i
n
u
t
o

{\displaystyle i)f'(x)=300{\frac {metros}{minuto}}}

con

0
<
x
≤
30

{\displaystyle 0<x\leq 30}

i
i
)

f
″

(
x
# )
40

m
e
t
r
o
s

m
i
n
u
t

o

2

{\displaystyle ii)f''(x)=40{\frac {metros}{minuto^{2}}}}

con

30
<
x
≤
33

{\displaystyle 30<x\leq 33}
Elon Mascular

Elon Mascular is the leader and creator of the Chad Church Faction.

#### Father Mascular

Elon Mascular, or "Father Mascular", is the Leader of the Chad Church Faction and Competition Winner. He is notoriously known for his Chad-like behavior and his possession of a mysterious Cure against the Bog Virus. He leads a 5 man strong Faction that resists the Bog Virus with ease. He and his followers posess a special Ability that increases the resistance against the Virus by a great amount. His Followers look up to him and call for his Aid if needed. If his fellow Chad Believers are ever in Danger, or they seek for answers, he will be there.

Despite his massive and bulky posture, and his almost intimidating presence he is known for just wanting to spread the good word of Chad. He is most commonly referring to it as "the blessing of Chad".

#### Faction Wars

Elon Mascular played a major role in the Faction wars. He created the Faction of the Chad Church as an Opposition against the Bog Virus and to stop their evil Plans. These Goals would change after time and after the Time reset.

The Faction was neutral against all Factions except for the Bog Virus. and so was their Leader. One of their Members got infected by the Bog Virus two times in each Wave of the Virus. However Elon Mascular was able to mention them in a very short Time with the mysterious Cure that was mentioned earlier. Together with his Faction he was one of the most feared Warriors in the entire War.

#### Timeline reset

After the second wave was defeated by the Allies, Elon mascular took a more spiritual approach to his goals rather than physically. With this kind of behavior he was able to understand the goals of the Operation Timeline reset and was for its execution. However after he had seen that the other faction would oppose them, he faced them altough he had never done agressive behavior towards other factions before. This eventually sparked the final showdown where his side came out victorious. The Timeline was reset.

#### Today

After the Timeline reset the Faction shortly dissolved since it was created during wartime. However Elon mascular re-created it shortly after. His goal is still to spread the Word of chad to fellow inhabitants of the Kek or Cringe Lands, and increase the following of the Chad Church.

#### Boss Battle

In the Video: Kek or cringe - All boss Battles, he can be found as a Boss to fight against. It can be found here.

https://www.youtube.com/watch?v=G8HDpscNCLo his Battle starts at 3:37.
Chad Church

Chad Church

The Chad Church was founded by Father Elon Mascular around 5 AB.

#### **Early Days**

The Faction of the **Chad Church** was created to simply oppose the Plans of the Bog Virus. Their Purpose was to Spread **the Word of the Chad** by showing constant resistance and extreme Toughness against the Virus. They did not show Agression to any other Faction unless they showed Agression **towards them** or **stopped them from executing their Plans**. The Chad Faction was created **during** the Faction wars.

#### **Faction Wars**

The chads played the role as the **main Attackers** against the **Bog Virus.** They are **heavily resistant** against the Virus so they were able to resist it in a great capacity. Also thanks to their **remarkable Manpower** that was present on the Battlefields, they were an actual threat to all of the other **Factions.** However, **they did not pay any interest** in fighting any other Factions whatsoever.

One of their Members **got infected** by the Bog Virus ***twice***. However, they were quickly **cured by Father Elon Mascular** shortly after they had reported that they had gotten infected. How he found a Cure, is **unknown** to this Day. It is simply described as the "**Blessing of Chad**"

In the Second Wave of the Faction wars, The Chad Church, again, fought strongly and inflicted heavy casualties on the Bog Virus's side. *Not one of them fell during the entire War*.

After the Second wave was defeated the Chad Church moved their Intentions more towards the spiritual side and for the first time joined a coalition against different Factions.

#### **The Timeline reset**

The Chad church was highly in Favor of resetting the Timeline and removing the Virus from everyone's Memories forever. However, two other Factions, the U.A.B. and the A.R.M. Factions opposed them and tried everything in their power to stop them resetting the Timeline. This would be the first time that the Chad church faction would actually show agression towards other Factions and actually attack them. They joined sides with the Fragments and with the Thought Inquisition to fight the opposing Factions and delete the Bog virus from its existense once and for all.

In the end their Side of the Allies had won the final Showdown, and the Timeline was resetted.

After the Timeline was resetted, the Chad Church Faction seized to exist. However it wouldnt last long until it was re-created.
Jibrilism

Jibrilism is a Religion that had its Origins way before the Faction war first started. It Whorships Jibril, God of Horny. **It was created by Megamind**.

> "He will return.... I know he will. You just need to believe."
>
>

* **Status:** Active
* **Membercount:** ~5 - 10
* **Leader:** None
* **Noteable Members:** Buckles, Attalkiseer, Megamind,
* **Icon/Flag:**

(The Prophecy came true)
The First Wave

The First Wave is the first Time the Bog Virus ever broke out. Its stretches from its very first Outbreak until the destroyal of the Fragment Base PHI.

### **Beginning**

The First Wave was set in Motion by the Greed of the Fragment Faction Leader Attalkiaero. His Original Plans were to gain a large amount of Money to maintain his Influence and enlarge it. During these Plans he came to the Idea to create a Virus that he could use to make money. However his Security was greatly lacking and it soon managed to escape Containment at the Containment Facility of Theta. It then quickly spread by infecting more and more of his own men.

### **Progress**

The Virus managed to gain a large amount of Territory during its first Outbreak. It gained control over all of the Fragment Stations and even infected some people over seas. The First wave was soon seen as the greatest age of its Existense. After it gained Control over the Space Launch Site PHI, it launched multiple rockets filled with Bog Spores that infected almost the whole World. It also launched Shuttles filled with Bog Specimen that were supposed to take over Enemy Space Stations.

### **Ending**

The End of the First came closer and closer as the Fragment Leader Attalkiaero suddenly reappeared after previously disappearing. He commanded the Launch of a Rocket filled with the Cure right into the Station of PHI. After it's impact some High Ranks of the Bog Virus' Administration still managed to escape but were then Captured later on. However this was not the Last time the Bog Virus spread over the entire World.
7.2.101(a)

Resuelva

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Paso 5 : Remplace x en u, entonces:

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Verificación por wolfram:
Dank Sidious

>
> "...This world will belong to me."
>
>

―Dank Sidious

**Dank Sidious**, or simply known as **Dank** until recent events. He had formed early, 365 BB in the formation of the Society. Often displaying no form of self-expression, and rather docile with the rest of the early forming users. Dank often attempted to post kek, with the addition that he was often neglected and given cringe. This constant cycle for the battle of kek and cringe would leave him in a state of uncertainty. Dank Sidious would often rival **Seele**, and would try to put an end to **Megamind**'s antics. He would become the leader of the **Thought Inquisition**, a powerful cult-like organization that sought a creation of a society that posted original content.

Raised in the brutal and unforgiving **society of Kek or Cringe**, he would often be ridiculed or made fun of, such is the nature of this society. This would however shape him. He would later on join forces with the **UAB**, **Reposr**, **Chads** and only once, **Fragments**. A main rival of the **Bog** virus, and sought to end it no matter the cost.

### The Thought Inquisition

What had started off as an ironic mere thought, it would spiral into creation. It had first sought dominion over whatever it could possess. Dank Sidious would lead a **short skirmish** to take over the Art-zone channel. However, this claim of territory would have meant nothing.

### Boss Battle

In the Video "Kek or Cringe: the Faction wars - All boss battles" He appears as a Boss to fight against. The video can be found here:

https://www.youtube.com/watch?v=G8HDpscNCLo his Battle starts at 1:19.
Meancanine

## Description, Alliances

The only known physical feature of Meancanine is his bloodshot red eyes. Meancanine uses he/him pronouns. He doesn't have many affiliations, but he is a friend of the Patchworkfam and especially Buttersticks. He is known most of all for patenting cooked chicken known as "b̛̺̜̲̖̝ͥͩ͌a͔̤̫̝̽͑͟l͎͖̪̟̞ͮͫ͗̑̕s̵̯̮̅ͯ." He does not participate much in the politics or lore of the server, but runs about causing chaos and fighting people. He enjoys initiating fights but will run away declaring himself as a coward if someone stronger than him attacks back.

## History

Meancanine's favorite thing to do is invent pyramid schemes, his most infamous one being bals. Bals was originally balsamic chicken, which Meancanine put through a cursed text generator. The character limit for naming an item turned balsamic chicken into simply bals, which became "b̛̺̜̲̖̝ͥͩ͌a͔̤̫̝̽͑͟l͎͖̪̟̞ͮͫ͗̑̕s̵̯̮̅ͯ." The chicken is now infamous, and Meancanine mass produces it.
The Cure

The Cure for the Bog Virus was discovered in a very early Stage of the War.

#### Discovery

The Discovery of the Cure for the Bog Virus happened around 2 AB. It was hinted by Attalkiseer, however the cure was very rare and only one dosage existed on the entire world at the time of its discovery. Using it would have been one of the greatest Failures of the war since it would also have eliminated all future scientific enhancements of the Cure.

However, this only dosage was stored in a secret Base that belonged to the Fragment Faction that was mentioned nowhere but in a heavily corrupted Paper. Nobody even knew how to get to it.

#### Retrieval

At the end of the first wave, just before the Bog Specimen at PHI were about to launch another spore filled rocket into Orbit, Attalkiaero reappeared out of nowhere. It was said that he had left the Kek or Cringe lands but for some reason he returned, and not with empty hands. In his hand he held the only cure against the Virus.

**A 19 dollar Fortnite Card.**

He filled a rocket full with the Serum that was extracted from the Card, and launched it directly into the Station of PHI where the most bog specimen were at the moment. Most of them were cured, some managed to escape, but were captured later.

#### Improvement

It was soon found out that Fortnite cards of even higher value were able to cure even more Bog Specimen than a card with lesser Value. This Information came in crucial as the second wave broke out. The Fragment Faction retaliated on the Bog Virus in the Second Wave with a powerful Rocket that was filled with the serum of a 40 dollar fortnite card. It was so powerful to cure an entire continent at once. The Entirety of the Bog Specimen were cured except for the forgotten sample.

#### Special Forms

Father Elon Mascular is actually in posession of a special kind of Cure only developed for the followers of the Chad Church. It is unclear how he managed to create it during the early times of the War nor what exactly it is.
UptownRex413919

Rex, IGN UptownRex413919, joined the Surpher in early 2021. Rex uses he/him pronouns and is quite literally just a dinosaur in a suit, albeit humanoid. Rex is married to Catsaidwhat. Rex briefly worked under Addyelf22 in Bookedup, assisting in her inventory of enchanted books. She would jokingly knock him with a stick and tell him to work faster to amuse customers who visited the store. Rex is not officially employed at Bookedup, but helps Addy with it sometimes.
PonyCentral

“Don’t tell me what I can’t draw!” - PonyCentral, on numerous occasions

## Who is PonyCentral?

**PonyCentral** is a BFB artist and megafan of Four(A Main Character). She appears as a background character who is obsessed with Four and Anon55.

## Appearance

PonyCentral is the only pony of the entire cast. She has a purple body, pink hair and blue eyes. She has a horn on her head, wings that are the same shape as Twilight Sparkle’s wings, and she speaks with a soothing tone to her voice. She is known as an artist and psychiatrist.

### Season 1 - 3

* PonyCentral has dark purple horseshoes
* She has a long tail
* She has puffy hair
* Her eyes are light blue

### Season 4 - 7

* PonyCentral has pink horseshoes
* Her tail is a little bit shorter
* She has a curled mane

### Season 8 - Present Day

* PonyCentral has a long straight mane
* Her horseshoes become purple, just like they were in Seasons 1 to 3
* Her eyes are dark blue, and she gains pink highlights in her mane and tail

## Personality

PonyCentral is a very shy pony. She often tries to impress her fellow fan base, but she becomes too nervous to speak to them in person. PonyCentral has a very respectful relationship with Four, as they’re both friends.

PonyCentral can also be quite abrasive, as she gets mad when things don’t go her way. Despite this, she still remains a positive person to her fans.

## Trivia

* Her YouTube channel has 175 subscribers
* PonyCentral has appeared in all the shows finales and many episodes of each season
* Her comments have made it into some videos, such as The Juice #13: Embarrassing Childhood Stories, where she asked “Do you have any childhood stories you’d like to share with us?”, a BFB Trivia video(#79: Four Merging Into Things), and so on.
* She is now working towards fixing her art, and making it more polished.
* She is a Gemini
Characters and Their Genders

## About This Page

This page is a very special one because it explains all the Number Squad characters genders, so nobody will get confused again.

## The Boys

* One (Four’s father)
* Two
* Five
* Eight
* Zero
* Fourtle
* Firey
* Blocky
* Ten
* Spongy
* Loser
* Balloony
* Woody
* MePhone4
* BFB Four
* Lightning
* Fries
* Pen
* Eraser
* Plus (X’s dad)
* Kratcy
* Yoshka
* Toilet
* Gelatin
* Anon50
* Four Ze Simp

## The Girls

* Three (Four’s mother)
* Four
* Six
* Seven
* Nine
* X
* Division
* Minus Four
* Yellow Four
* FourX
* Female Plus
* PonyCentral
* Flower
* Taco
* Lollipop
* Teardrop
* Ruby
* Bubble
* Leafy
* Merci Days (Six’s Mercedes)
* Hope
* Anon55
* Pin
* Needle
* Fanny

## Non Binary

* Profily
* Price Tag
* Winner
* Paintbrush
M daysi o

## Description, Appearance, Alliances

Daysi, IGN m\_daysi\_o, uses she/they pronouns and goes by Daysi. They are also known as the god Persephone, and are married to Hades.

## First Age History

During the First Age, Daysi was a member of Coffee's Clown Squad.

## Second Age History

During the Second Age, Persephone was the one who found Palm's dying body in Olympus. She brought Palm's body back to Hades Castle, where Persephone and their spouse Hades revived Palm as a demon.

## Third Age History

During the Third Age, Stars declared a war on Hades and Persephone. Hades and Persephone have been married since the beginning of time as far as anyone knows, and they celebrate the renewal of their vows once a year in a kingdom-wide holiday.
Kek or Cringe Society: Faction Wars Wiki

**Welcome to the Halls of the Kek or Cringe Society: Faction Wars Wiki!**

A wiki documenting the **events**, **wars**, **alliances**, **characters**, **factions**, and many other things that had a connection with the **Faction war**.

Welcome to the new age.

Information provided by the U.I.D.

## Characters

JaceHAdherent 1 / BucklesDank SidiousAttalki Seer / AeroElon MascularSboven
## The Waves

The First WaveThe Second WaveThe Third Wave
## Factions

Thought InquisitionU.A.B.The Bog VirusNeutralA.R.M.FragmentsChad Church
## Other Factions

The Byrne RepublicJibrilismUnited Intelligence Department
## Miscellaneous

The Reposr AllianceThe Cure[JOKE PAGE] Mech Junkie DS

*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.
A.R.M.

A.R.M.

### Purpose

Revive the Spirit of the old U.A.B. Later it was to rid the Earth from the Bog Virus.

### Members

~3

**A.R.M**. or **Adherents of the Repeated Meme** is a Faction that played a major role in Faction wars. Its purpose, at first, was to revive the spirit of the **Old U.A.B**. and cause chaos everywhere. But after they had realised how bad the Situation with the **Bog Virus** was, they quickly became a powerful Ally.

The **A.R.M.** Faction was the first Faction to see the **Bog Virus** as a Threat, and the first one to take actions against it. But also was the Faction that "rescued" the last surviving **Bog Specimen** after the **First Wave,** and therefore the Faction that initiated the **Second Wave.**

#### Early Days

The **A.R.M.** Faction started out as a Two man powerful Faction. It was created by **Adherent 1** (Buckles) and **Adherent 2** (Gremlin) around **1 BB**. Back then, the Faction was more seen as a Cult rather than a Organization. The regular behavior of the **A.R.M.** Faction was very offensive, since they wanted to revive the Spirit of the **Old U.A.B**., which was a very aggressive Faction that dominated the **Kek or Cringe lands** long before the **Faction wars** were a Thing.

#### Reorginization

After they heard the News that the **Bog Virus** might be a much more powerful threat than they intially thought, they reorginized themselves to a modern and powerful Organization that had a powerful Arsenal at their Disposal. Together with the **Fragment** Faction, **Chad Church** and **Thought Inquisition** they destroyed the First Wave of the **Bog Virus**.

#### The Second Wave

After they had defeated the **First Wave** of the Virus, they had their own Plans what to do with the **Bog Virus**. They quickly located the last surviving the **Bog Specimen** at **Theta**, retrieved it, and revived it at their main Base. However, they underestimated the Strength of the Virus, just like the **Fragment** Faction did. Their Base was quickly taken over by the Virus. **Their Leader** was infected and they then played a major role in the Advancement for the **Second Wave**.

#### Disbandment

After the Faction was taken over by the Bog Virus, the fate for the A.R.M. Faction was automatically sealed. After the second Wave was also defeated by the Allies, the leader of the A.R.M. Faction, who was now cured, was arrested and imprisoned. The remaining Members of the A.R.M. Faction quickly dissapeared into the Shadows and were never heard from again. However, to the very end of the Timeline, Buckles still identified himself as "Adherent 1"

#### Timeline reset & Revival

After the **Timeline reset** of the **Faction wars**, the **A.R.M.** Faction was never created in the first place. However it was re-created by **Buckles**, but it never reached very far. After just a few days, the **new A.R.M**. Faction was forgotten and the **Faction wars** practically ended.
Number Squad Wiki:Wiki rules

## Rules of this Wiki

There are several strict rules that you must follow if you wanna contribute to this wiki. This is the list.

1. **Four’s Gender -** Do not misgender Four. Her pronouns are she/her, and if you misgender Four, it will result in a block for 5 days.
2. **Comics -** You may upload as many comics as you want, or one at a time. Do not spam comics, as this will result in a 1-week block.
3. **Emotions -** Any Number Squad character fan art uploaded onto the wiki must include the characters showing emotion. If it does not show emotion, the image will be deleted and the user will be blocked for 2 days.
4. **NSFW -** Porn or otherwise illicit content is forbidden here on this wiki. You will be permablocked if you upload inappropriate images to the wiki.
5. **Storyboards** - You can upload storyboards to 2763K for the creation of new artwork/comics. **Do not upload any inappropriate storyboards.**
6. **Shippings -** You may ask 2763K to add new ships (e.g. Four x someone). **Do not ask 2763K for ship artwork containing inappropriate content.**
7. **Language/Discriminatory Content** - Per Fandom ToU, any coarse/racist language is completely forbidden on this wiki. If any coarse language is found on pages, comments, or messages, users will be blocked indefinitely.
8. **Editing Policies -** Do not add false information or severely vandalize the page. Users who violate this rule will be blocked indefinitely.
9. **Other Character Genders -** Please do not misgender any of the other characters. Any users who violate this rule will be blocked for 1 month.
10. **Artwork -** Do not post any artwork of a character dabbing or any inappropriate art. Any users who do so will be blocked indefinitely.
11. **Title Cards** - Do not think of a title card as a thumbnail. If any user puts “thumbnail” instead of “title card” it will be considered vandalism and they will be blocked for 3 days.
12. **Editing Pages** - Please ask 2763K for permission to edit a page.

Alongside these rules, all users are required to follow Fandom ToU as well in order to avoid getting globally banned from the site.

In order to appeal your block, contact 2763K, Mark, or any one of the other admins from this wiki on Community Central, listed on Special:ListAdmins.

There we go. That covers the rules. Follow them! Don’t make Four screech you!
Fourtle(Number Squad)

“Hello, I’m a turtle!” - Fourtle, his first appearance

## Who is Fourtle?

Fourtle is a YouTuber who makes BFB trivia videos. He is best friends with Four Ze Simp.

## Appearance

Fourtle has a light blue body, light blue limbs and a turtle shell. He was born on May 14, 1995, which makes him 15 years old. He is noticeably the smallest number out of every number in the show!

## Personality

Fourtle likes trivia videos. He makes them occasionally, most of them centred around Four. He has made three videos on what Four transforms into, like an oven, Firey and a cat. Four Ze Simp is his best friend.

He can get angry at times, but his anger is calmed down when Four Ze Simp strokes his shell.

## Him and Four Ze Simp’s Adventures

Fourtle and FZS have gone on some adventures together. But unfortunately, these adventures they have are make belief. Fourtle and FZS have played as pirates, cowboys and they even parodied RuPaul’s Drag Race, with Four Ze Simp playing BenDeLaCreme and Fourtle playing Michelle Visage.

Fourtle and Four Ze Simp also enjoy Movie Night, as they both have lots of fun watching Star Wars movies.

## Trivia

* Fourtle is considered as a pet rather than a supporting character
* He and Four Ze Simp are roommates
Nine

## Who is Nine?

Nine is a female number and member of the Number Squad. She first appeared in The First Episode as the coolest number in town. She didn’t have her skateboard back then.

## Appearance

Nine has a pale grey body, white limbs and sports a pair of shades with blue, yellow and orange stripes. Under her sunglasses, she has lilac eyes.

### Seasons 1 - 5

* Nine has a small body
* She has shades
* She has three eyelashes

### Seasons 6 - 10

* Nine doesn’t have her shades anymore
* She gets a skateboard

## Personality

Nine is the detective of the squad. She makes the best plans and often makes sure they succeed. She can also be quite ruthless, such as threatening to kick people.

Nine can have a soft center, as she gets upset and frustrated when her plans fail. She’ll break down crying when she loses her shades, although starting from the sixth season, she doesn’t have her sunglasses anymore.

## Relationships

Nine is cool with everyone in the Equation Playground. She will always try and impress them, no matter what happens!

## Trivia

* She is one of the four monochrome numbers. The others are Seven(Vice President), Eight(President) and Zero.
* As of Season 6, Nine doesn’t have her sunglasses
	+ She also gains a skateboard with the exact same pattern as her sunglasses shading
* She’s the first character to say “OMG!”
Anon55

“Me and Elsa Mojo are friends!” - Anon55’s introduction quote

## Who is Anon55?

Anon55 is a recurring background character. She appeared briefly in each episode as a background character, except for Divisive Mum and The First Episode.

## Appearance

Anon55 is the first human to be introduced in the series. She has a grey body and her name is written across her face in black marker. Her age is unknown.

## Personality

Anon55 is friends with everyone, including PonyCentral. Anon55 can get aggressive at times, even when she sees PonyCentral’s artwork about her. She even goes by a different name: baby\_hotline.

Anon55 can get easier enraged, especially when it comes to battling on the Arena. She won’t hesitate to destroy anything she comes in contact with.

## Trivia

* She is the first human to make an appearance on the show, the others are Cary and Michael Huang
* She goes by Anonymous 55 in a different state