recursal/Fanatic-Fandom huggingface dataset:
Samuel Zuo

**Samuel Zuo** is the best friend of Caesar Wang and Drake Ishikawa.

## **Personality and Traits**

Samuel is *extremely* arrogant and egotistical. He is not afraid to voice his opinion or backchat, and nearly always has an insult or sarcastic remark. He has a knack of making people love him, including parents and teachers, which often comes in handy. He is constantly rolling his eyes and making stupid, immature innuendos. He insults people a lot, but afterwards will usually make a joke, almost as if to trick people into thinking that he is being a nice guy. He phrases his insults as compliments a lot, too, another way that he only comes across as rude to the victim of his remarks.

Samuel has a very... harsh sense of humor. He finds it more hilarious when it involves the anger or suffering of suffering of someone else, which is why he enjoys comebacks and sarcastic remarks. A lot of the time, when he insults people, it's not on purpose, but rather because he thought the joke was funny. That being said, Samuel is good at insulting people intentionally. He has a simple rule: find a flaw, then expand it. For example, if someone has a bit more acne than usual, you comment on the overwhelming amount of spots on their face, or on a bad hair day comment on their hairstyle, or if they have skinnier friends, they tend to be more vulnerable to comments on weight. He takes your weaknesses and exploits them. If you hadn't guessed already, Samuel is not a very nice person, and he also has a very bad temper, with a taste for revenge.

## **Role in Series**

* Season 1
* Season 2

## **Appearances**

* 1.01 - ***Pilot***
* 1.02 - ***Now Or Never***
* 1.03 - ***Right Here, Right Now***
* 1.04 - ***I Want It All***
* 1.05 - ***Can I Have This Dance?***
* 1.06 - ***A Night To Remember***
* 1.07 - ***Just Wanna Be With You***
* 1.08 - ***The Boys Are Back***
* 1.09 - ***Walk Away***
* 1.10 - ***Scream***
* 1.11 - ***We're All In This Together***
* 1.12 - ***High School Musical***
* 2.01 - ***The Start of Something New***
* 2.02 - ***There's No Place Like Home***
* 2.03 - ***The End of the Beginning***
* 2.04 - ***Live Free Or Twi-Hard***
* 2.05 - ***The Betrayal***
* 2.06 - ***When There Was Me and You***
* 2.07 - ***Paranoia***
* 2.08 - ***Farewell, My Bunny***
* 2.09 - ***Lights, Camera, Action***
* 2.10 - ***Home Alone***
* 2.11 - ***Into the Woods***
* 2.12 - ***Black Swan***
Frequency

formula:

**Failed to parse (syntax error): {\displaystyle f\ =\ \frac{1}{T}\}**

f

=

ω

2
π

{\displaystyle f\ =\ \frac{\omega}{2\pi}}

f

=

v
λ

{\displaystyle f\ =\ \frac{v}{\lambda}}

 resonant frequencies

f

=

n
⋅

v

2
L

f
o
r

n

=

1
,
2
,
3..

{\displaystyle f\ =\ n\cdot\frac{v}{2L}\ for\ n\ =\ 1,2,3..}

resonant frequencies

links to related graphemes: T ω  π v λ n L =
Equation sheet 24

24.19. equation: V = kq/r

determine eligibility for potential diffs to cancel for various segments of line. right segment is not eligible. for middle segment, relate radii by creating an x that represents the point and making r = either x or d-x. do similar for -x axis.

       used these to calculate the charge from work from infinity and the same with work added from a circle of charges.
An inequality for the magnitude of proj v (x); proof

basis

relation

function notation

linearly independent

pythagorean theorem

less than or equal to symbol

orthonormal vector

distributive

projection notation

kernel notation

real notation

subspace

unit vector notation

exponent

the rank-nullity theorem

linear transformation

vector symbol

dimension notation

image notation

orthonormal basis

subscript

vectors

decomposition

perpendicular notation

parallel notation

orthogonal

side product notation

zero

dot product symbol

parentheses

verification of linearity

...

=

1

n

i

m

c

x

V

u
Column vector

red orange

see also: vector, equal, geometric visualization

formula:

an m x 1 matrix

# x

[

x

1

x

2

⋮

x

m

]

{\displaystyle x = \left[ \begin{array} { c } { x \_ { 1 } } \\ { x \_ { 2 } } \\ { \vdots } \\ { x \_ { m } } \end{array} \right]}

graphemes: x = [](brackets) 1 2 (subscript) (vertical ellipse)... m

coordinates: standard matrix versus B-matrix; similarity, the matrix of a linear transformation
Coulomb's law

q

1

r

F

\=

4

r

2

8

5

10

C

N

9

m

vector

directly toward

conducting

sphere

spread

over the

away

sign of charge

net force

sum

shell theory

uniformly distributed

surface

attract

repel

center

inside

due to

opposite

permittivity constant

electrostatic constant

Coulomb constant

multiplication dot

multiplication x

superscript

absolute value

epsilon naught

division

pi

if

are

is

at rest

relative

magnitude

force

electrostatic force

electric force

charged particle

distance
Function

formula

grapheme f ( )

related concepts:

math

The Kernel of a Linear Transformation: kernel

Image and Kernel of a Linear Transformation: Image of a function, image of a linear transformation

Bases and Linear Independence: Image and kernel are subspaces

physics:

diffraction: Double slit diffraction, single slit diffraction
Equation sheet 23

let's give this a try

    well this is nice

    algorithms:

23.002

set up integral, plug expression and direction of dA, cancel any expressions that are perpendicular, take E out of integral, dA becomes A, multiply. get net flux by adding up sides.

 spherical shells have electric fields that are like the enclosed charge as a point charge at the center. pretty simple. electric field is in N/C

 4/3 pr r ^3 sphere
Impl. ⋅

yellow red

grapheme: (latex)

coordinates: standard matrix versus B-matrix; similarity, the matrix of a linear transformation

image and kernel of a linear transformation: image of a linear transformation, some properties of the image

physics:

electric fields: Applying gauss' law, Gauss' law general and coulomb's law

waves: the doppler effect, Standing wave patterns in pipes, Sound level in decibels, interference

interference: intensity in two slit interference

diffraction: circular aperture diffraction, Double slit diffraction

Bases and Linear Independence: Subspaces of Rn
Dimension cont'd proof

new additions:

basis

element symbol

real notation

linearly independent

less than or equal to symbol

size

dimension

zero vector

trivial relation

V

n

f

g

~

basis symbol

parentheses

vector symbol

vector

side product

brackets

column vector notation

coordinate vector

scalar multiplication

linear combination

basis coordinate symbol

,

...

=

k

v

m

x

c

1

2
Applying gauss' law

subscript

side product

pi

loop integral symbol

division symbol bar

epsilon naught

enc

parentheses

=

phi

E

2

r

4

q

 h A  + R S 3 uniform exponent volume distribution prime gaussian surface  greater or equal symbol spherical shell   sheet of charge sigma  line of charge  lambda  enclosed  \ theta cos cylinder height
Equation sheet 25

25.14

   voltage is equal in parallel, divided in series.

charge is constant for capacitors in series.

voltage is constant for capacitors in parallel

capacitors in parallel are added to find equivalent

caps in series reciprocal added to find recip. equivalent

start with smallest level and work up to biggest to find a pivot, and then work back down to smallest using the first equation and voltage for evaluating parallel and charge for evaluating series. and pivoting

        25.34, just more manipulation using capacitors in series, caps in parallel, and adding potential energy stored. remember to use charge for caps in series and voltage for caps in parallel.
Echelon form

formula:

A rectangular matrix is in echelon form (or row echelon form) if it has the

following three properties:

1. All nonzero rows are above any rows of all zeros.

2. Each leading entry of a row is in a column to the right of the leading entry of

the row above it.

3. All entries in a column below a leading entry are zeros.

graphemes:

see also: leading entry, row reduced, pivot position, pivot column, pivot

graphemes:

◼ 0 1 [](brackets) \* (highlighted area)
5.1 proof master list

basis

relation

function notation

linearly independent

pythagorean theorem

less than or equal to symbol

orthonormal vector

distributive

projection notation

kernel notation

real notation

subspace

unit vector notation

exponent

the rank-nullity theorem

linear transformation

vector symbol

dimension notation

image notation

orthonormal basis

subscript

vectors

decomposition

perpendicular notation

parallel notation

orthogonal

side product notation

zero

dot product symbol

parentheses

verification of linearity

...

=

1

n

i

m

c

x

V

u
3.4-5.1 master list

basis

relation

function notation

linearly independent

pythagorean theorem

less than or equal to symbol

orthonormal vector

distributive

projection notation

kernel notation

real notation

subspace

unit vector notation

exponent

linear transformation

vector symbol

dimension notation

image notation

orthonormal basis

subscript

vectors

decomposition

perpendicular notation

parallel notation

orthogonal

side product notation

zero

dot product symbol

parentheses

verification of linearity

...

=

1

n

i

m

c

x

V

u

element symbol

size

dimension

vector

trivial

side product

brackets

column vector notation

coordinate vector

scalar multiplication

linear combination

basis coordinate symbol

,

k

f script

g script

v

m

2

isomorphism

properties

kernel

equation

function

inverse of a matrix notation

curly brackets

invertible

unique solution for every V in W

at least one solution

two solutions

isomorphic

isomorphism from V to W

the rank nullity theorem

real noation

composition notation

equivalent

L

W

T
,

black

grapheme: ,

coordinates: standard matrix versus B-matrix; similarity, the matrix of a linear transformation

Bases and Linear Independence: Linear independence and zero components, linear relations, Redundant vectors; linear independence; basis

physics:

waves: Standing wave patterns in pipes, interference

interference: young's interference experiment

diffraction: diffraction gratings, single slit diffraction
Matrix

color: red

formula:

# A

[

a

11

a

12

⋯

a

1
n

a

21

a

22

⋯

a

2
n

⋮

⋮

⋱

⋮

]

=
(

a

i
j

)
∈

R

m
×
n

{\displaystyle A = \left[ \begin{array} { c c c c } { a \_ { 11 } } & { a \_ { 12 } } & { \cdots } & { a \_ { 1 n } } \\ { a \_ { 21 } } & { a \_ { 22 } } & { \cdots } & { a \_ { 2 n } } \\ { \vdots } & { \vdots } & { \ddots } & { \vdots } \end{array} \right] = ( a \_ { i j } ) \in R ^ { m \times n }}

graphemes:
A a 1 2 [ ](brackets) ... ( ) i j ∈ R m x n

math: column vector, span, linear transformation, product, square, invertible, row, column, kernel, image, linear system, unique solution, rref(), rank(),

see also: coefficient matrix, augmented matrix, size, by, m, n

related concepts:

math

Bases and Linear Independence: Image and kernel are subspaces

Image and Kernel of a Linear Transformation: Various characterizations of invertible matrices
Addition

formula:

a
# b
(

a

1

b

1

)

e

1

(

a

2

b

2

)

e

2

(

a

3

b

3

)

e

3

{\displaystyle a + b = ( a \_ { 1 } + b \_ { 1 } ) e \_ { 1 } + ( a \_ { 2 } + b \_ { 2 } ) e \_ { 2 } + ( a \_ { 3 } + b \_ { 3 } ) e \_ { 3 }}

**Failed to parse (syntax error): {\displaystyle ☐\ +☐}**

graphemes: + ☐ a b = () e (subscript) 1 2 3

see also: vector addition, sum
To Die For

Local homeless man, Griff Slocum, has been found dead. Murdered. Rod and Clay, Chavez High seniors, fall under suspicion, as well as a few other schools bullies, including Humberto Gomez, who suddenly has money to throw around. Ernesto is on the case because he can't let the police handle things. Griff was someone he saw frequently and he feels that he must help. And after all, it was Ernesto who witnessed Rod harrasing Griff. Rod's student ID is found near the body--a dark cloud of suspicion falls over his head. Rod's parents retain a lawyer, Ernesto 's uncle, to help their son. Humberto Gomez, Rod's cousin, Rick Alanzar, Humberto's best friend, and Clay Aguirre are also implicated. It turns out that Griff traded baseball cards. Some were valuable. Very valuable. Lacey Serrano, a freshman bully and Humberto's girlfriend is suddenly getting lavish gifts. Humberto is questioned. Did Griff possess something to die for?

Author: Anne Schraff

Published: 2014

Website: https://www.sdlback.com/to-die-for
B

yellow

grapheme: b

B

coordinates: standard matrix versus B-matrix; similarity, the matrix of a linear transformation

Image and Kernel of a Linear Transformation: Image of a function, Various characterizations of invertible matrices

physics:

waves: Sound level in decibels, sound waves

images: Optical instruments
...

white

grapheme: ...

coordinates: standard matrix versus B-matrix; similarity, the matrix of a linear transformation

Subspaces of Rn and their dimensions: Basis and unique representation

Bases and Linear Independence: Linear independence and zero components, linear relations, Redundant vectors; linear independence; basis, Relations and linear dependence

physics:

waves: interference

interference: young's interference experiment

diffraction: diffraction gratings, single slit diffraction
M

graphemes:

m red green

M red green

related concepts:

math

Subspaces of Rn and their dimensions: Basis and unique representation

image and kernel of a linear transformation: some properties of the image, span

Bases and Linear Independence: Image and kernel are subspaces, kernel and relations, Linear independence and zero components, linear relations, Redundant vectors; linear independence; basis, Relations and linear dependence

The Kernel of a Linear Transformation: kernel, some properties of the kernel

physics: mass, linear density, force

waves: Sound intensity, interference

images: lateral magnification, Optical instruments

interference: thin film interference, young's interference experiment

diffraction: diffraction gratings, single slit diffraction
Talal Hussain

**Talal Hussain** was the leader of the Gazpachi Revolution. Together with his right-hand-chicken, Adolf Shuckling, they managed to win the civil war and installed a new republic in Fiskerstadt. Talal was appointed president of the republic, but less than a year later he passed away, leaving the office to Shuckling.
2

grapheme: 2

related concepts:

physics: power, acceleration

electric fields: Applying gauss' law, Gauss' law general and coulomb's law

waves: Standing wave patterns in pipes, beats, Sound intensity, interference

images: Optical instruments

interference: intensity in two slit interference, thin film interference, thin film interference, young's interference experiment

diffraction: diffraction gratings, Double slit diffraction, single slit diffraction

math

image and kernel of a linear transformation: some properties of the image

Bases and Linear Independence: Linear independence and zero components, Subspaces of Rn
Equivalent

green, blue

see also: =

formulas:

(

s
1

,

s
2

,

.
.
.

s
n

)

{\displaystyle \left(s\_1,\ s\_2,\ ...\ s\_n\right)}

 =

(

t
1

,

t
2

,

.
.
.

t
m

)

{\displaystyle \left(t\_1,\ t\_2,\ ...\ t\_m\right)}

graphemes:
s t n m , 1 2 ... ( )

related concepts:

math

coordinates: Standard matrix versus B-matrix; similarity; proof

Image and Kernel of a Linear Transformation: Various characterizations of invertible matrices
Equation sheet 27

algorithm
27.13

   resistance doesn't impact final charge
greater resistance results in longer charge time. resisters in series cause greater resistance than ones in parallel.

    27.33-

start at the given current.

use equality of parallel resistances and sum of series resistances

use potential equation to calculate emf

use emf to calculate individual current

use the junction rule to see that the current prior to junction must equal sum of all those after

use that to get its emf

use loop rule to say that the voltage across parallel resistors is equal

use that voltage to get resistance individual

apply junction rule to see that current before junction is equal to sum after

use to calculate voltage

see that battery emf must be equal to the parallel

summation: use loop rule to equate parallel/series voltages. use junction rule to equate groups of currents.
I

graphemes:

i

I

Image and Kernel of a Linear Transformation: Various characterizations of invertible matrices

Bases and Linear Independence: Linear independence and zero components, Linear independence and zero components, Redundant vectors; linear independence; basis

physics:

waves: Sound level in decibels, Sound intensity

images: Image formation, lateral magnification

interference: intensity in two slit interference

diffraction: Double slit diffraction, single slit diffraction
Sang In-Hyo

**Sang In-Hyo** is presented as the leader of the Cave of Latent Demons early in the story. He is shown when one instructor of the cave shows concern about the number of dead recorded till date in the cave.

Though he doesn't give much attention to the dead claiming its a norm for the cave(following the dead by three NOTs), he shows interest to the top trainees in the cave and specifically number 900(Hyuk Woon Sung) who suddenly develop a talent for martial art.

He later seem to give more attention to the top training claiming the aim of the current group was to produce demonic captain and maybe demonic generals. As a result he seem generous with resources to the gifted and punishment to those lacking. but in return for being generous, those benefiting were to undergo more intense training.

he is later discover to be a member of the notorious unrecorded group and follows to support Hyuk Woon Sung in conflict for cult of heavenly demon leading position.
A

graphemes:

a

A. red

related concepts:

math

coordinates: Standard matrix versus B-matrix; similarity; proof

Subspaces of Rn and their dimensions: Basis of the image

Bases and Linear Independence: Image and kernel are subspaces, kernel and relations

image and kernel of a linear transformation: image of a linear transformation, Various characterizations of invertible matrices

physics: acceleration, force

diffraction: Double slit diffraction, single slit diffraction

waves: sound intensity
C

orange

math

coordinates: Standard matrix versus B-matrix; similarity; proof

 Subspaces of Rn and their dimensions: Basis and unique representation

Image and Kernel of a Linear Transformation: span

bases and linear independence: linear relations

physics

waves: sound waves

images: Optical instruments

interference: huygens' principle
―

grapheme: ―

related concepts:

physics: power, acceleration

waves: Standing wave patterns in pipes, the doppler effect, Sound level in decibels, Sound intensity, interference, sound waves

images: lateral magnification, Optical instruments

physics:

electric fields: Applying gauss' law, Gauss' law general and coulomb's law

interference: huygens' principle, intensity in two slit interference, Wavelength and index of refraction, young's interference experiment

diffraction: circular aperture diffraction, Double slit diffraction, raleigh's criterion, single slit diffraction

math: derivative
Properties of isomorphisms; proof.

proof a. 1

0 zero orange .

0

-1 purple .

~

proof 1

ker() magenta .

0

-1

~

proof 2

T() teel .

f purple .

1 blue .

2 purple .

g

ker() magenta .

0 orange .

= red .

-1 purple .

~

dim() baby blue

+ yellow

im() magenta ;

ker() magenta ;

~

real symbol n orange . 2

composition symbol- yellow .

n; purple .

dim() baby blue . 2

-1 purple .

 ;

isomorphism

properties

kernel

equation

function notation

function symbol

zero

inverse of a matrix notation

kernel notation

curly brackets

image notation

subscript

invertible

unique solution f for every g in W

at least one solution

two solutions

isomorphic

isomorphism from V to W

the rank nullity theorem

real symbol

dimension notation

composition notation

equivalent

=

L

n

V

1

g

2

W

T

    last: c.
Solutions of linear systems

formula:

create augmented matrix

find reduced echelon form

list expressions of leading variables in terms of the other terms

plug any values to free variables and solve for leading variables

see: basic/leading variables, free variables, existence and uniqueness theoreom

graphemes: ◼ 0 1 [] (brackets) \* (highlighted area) x n b 9 8 7 6 5 4 3 2 ⋅
V

peach

graphemes:

v yellow .

V

coordinates: standard matrix versus B-matrix; similarity, the matrix of a linear transformation

Subspaces of Rn and their dimensions: Basis and unique representation

Bases and Linear Independence: kernel and relations, Linear independence and zero components, linear relations, Redundant vectors; linear independence; basis, Relations and linear dependence

image and kernel of a linear transformation: some properties of the image, span

physics: power, velocity

waves: Standing wave patterns in pipes, the doppler effect, Sound intensity, sound waves

interference: huygens' principle
Λ (lambda)

grapheme: λ

waves: Standing wave patterns in pipes, wavelength, interference

interference: intensity in two slit interference, thin film interference, Wavelength and index of refraction, young's interference experiment

diffraction: circular aperture diffraction, diffraction gratings, raleigh's criterion, single slit diffraction
Properties of orthonormal vectors; proof

a.

um vector symbol ; green . algae maybe

cm vector symbol; purple a la Db .

dot product dot; sky blue ;

ui vector - yellow .

ci red .

b.

n

real symbol n

un royal blue .

new additions: unsure

basis

relation

function notation

linearly independent

orthonormal vector

distributive

projection notation

kernel notation

real notation

subspace

unit vector notation

exponent

the rank-nullity theorem

linear transformation

vector symbol

dimension notation

image notation

orthonormal basis

subscript

vectors

decomposition

perpendicular notation

parallel notation

orthogonal

side product notation

zero

dot product symbol

parentheses

verification of linearity

...

=

1

n

i

m

c

x

V

u
T

blue

grapheme: T, t

related concepts:

time

period

math

coordinates: standard matrix versus B-matrix; similarity, the matrix of a linear transformation

Bases and Linear Independence: Image and kernel are subspaces

Image and Kernel of a Linear Transformation: image of a linear transformation, some properties of the image

The Kernel of a Linear Transformation: kernel, some properties of the kernel

physics:

interference: huygens' principle
X

orange .

grapheme: x

related concepts:

math

coordinates: standard matrix versus B-matrix; similarity, the matrix of a linear transformation

Bases and Linear Independence: Image and kernel are subspaces, kernel and relations

Image and Kernel of a Linear Transformation: Image of a function, image of a linear transformation, Various characterizations of invertible matrices

The Kernel of a Linear Transformation: kernel

physics

waves: sound waves
Wave function

formulas:

y

′

(

x
,
t

)

=

[

2

y
m

sin
⁡

(

k
x

)

]

cos
⁡
ω
t

{\displaystyle y^{\prime}\left(x,t\right)=\left[2y\_m\sin\left(kx\right)\right]\cos\omega t}

 (standing)

y

′

(

x
,
t

)

=

[

2

y
m

cos
⁡

(

1
2

ϕ

)

]

sin
⁡

(

k
x
−
ω
t

1
2

ϕ

)

{\displaystyle y^{\prime}\left(x,t\right)=\left[2y\_m\cos\left(\frac{1}{2}\phi\right)\right]\sin\left(kx-\omega t+\frac{1}{2}\phi\right)}

 (superposition)

∂
2

y

∂

x
2

=

1

v
2

⋅

∂
2

y

∂

t
2

{\displaystyle \frac{\partial^2y}{\partial x^2}=\frac{1}{v^2}\cdot\frac{\partial^2y}{\partial t^2}}

y

(

x
,
t

)

=

y
m

sin
⁡

(

k
x
−
ω
t

)

{\displaystyle y\left(x,t\right)=y\_m\sin\left(kx-\omega t\right)}

y

(

x
,
t

)

=
h
sin
⁡

(

k
x
±
ω
t

)

{\displaystyle y\left(x,t\right)=h\sin\left(kx\pm\omega t\right)}

links to related graphemes:

y sin k x ω t cos φ =
Young's interference experiment

formula

related concepts:

physics

interference: intensity in two slit interference

   graphemes: d θ m λ 1 2 ... ,

physics: light, slit, diffraction interference intensity path length, wavelength, constructive, maxima, destructive, minima bright dark fringe central axis slit separation

math: sin = odd, half ― angle

formatting:
Wiki framework

concept pages: formulas, graphemes, polygons

grapheme pages: grapheme, related concepts, grapheme DNA

concept pages relate a concept to graphemes to other concepts

grapheme pages relate graphemes to concepts to other grapehemes

may need to create a sort of net in order to get a bird's-eye-view of, for example, how a grapheme relates, in a glance, to ALL the related graphemes from ALL related concepts, the other obvious example being a conglomeration of all concept polygons in a glance ( like a map or topography??)
Superscript

graphemes:

**Failed to parse (syntax error): {\displaystyle \sqrt{☐ }}**

**Failed to parse (syntax error): {\displaystyle ☐^☐}**

related concepts:

math

Bases and Linear Independence: Image and kernel are subspaces, Subspaces of Rn

Subspaces of Rn and their dimensions: Basis and unique representation

The Kernel of a Linear Transformation: kernel

physics: power

images: lateral magnification
Thin film interference

formula;

grapheme 2 L m 1 2 λ n π

math impl \* = ( ) ― for , ...

physics: incident, transparent film, light wave, reflect, interfere, front, back, normal, wavelength, maximum, minimum, intensity, film in air, bright, dark, index of refraction, thickness, interface, medium, smaller, phase change, reflected wave, refraction, light

formatting subscript
Real

ℝ

greengrapheme: latex

related concepts:

math

coordinates: standard matrix versus B-matrix; similarity, the matrix of a linear transformation

The Kernel of a Linear Transformation: kernel, some properties of the kernel

image and kernel of a linear transformation: some properties of the image, Various characterizations of invertible matrices

Bases and Linear Independence: Image and kernel are subspaces, Linear independence and zero components, linear relations, Redundant vectors; linear independence; basis, Relations and linear dependence, Subspaces of Rn
Subscript

grapheme: (add latex code)

Subspaces of Rn and their dimensions: Basis and unique representation,

Bases and Linear Independence: kernel and relations, Linear independence and zero components, linear relations, Redundant vectors; linear independence; basis, Relations and linear dependence

physics:

electric fields: Applying gauss' law, Gauss' law general and coulomb's law

waves: beats, the doppler effect, Sound level in decibels, Sound intensity, sound waves

images: Optical instruments

interference: thin film interference, Wavelength and index of refraction

diffraction: Double slit diffraction, raleigh's criterion, single slit diffraction
Wiki population algorithm

start with concepts and formulas... try to use as little implicit notation as possible

do another pass with graphemes, be sure to include implicit math ones, correct implicit notation

do another pass creating pages for graphemes (double check that all pages have (standard) categories, too)

do a final pass of the concepts and make sure every linked grapheme contains it. special cases with related concepts will use "see also" as a multi-tool catch all?

check retroactively

polygon summation
Zero vector

formula:

[

0

.
.
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{\displaystyle \left[\begin{matrix}0\\...\\0\end{matrix}\right]}

graphemes: [] ... 0

related concepts:

math

image and kernel of a linear transformation: some properties of the image

The Kernel of a Linear Transformation: some properties of the kernel

Bases and Linear Independence: Subspaces of Rn
System of linear equations

formula

a

11

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1

a

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a

1
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x

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=

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1

a

21

x

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a

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a

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n

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n

=

b

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a

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{\displaystyle \left. \begin{array}{l}{ a \_ { 11 } x \_ { 1 } + a \_ { 12 } x \_ { 2 } + \cdots + a \_ { 1 n } x \_ { n } = b \_ { 1 } }\\{ a \_ { 21 } x \_ { 1 } + a \_ { 22 } x \_ { 2 } + \cdots + a \_ { 2 n } x \_ { n } = b \_ { 2 } }\\{ \vdots }\\{ a \_ { m 1 } x \_ { 1 } + a \_ { m 2 } x \_ { 2 } + \cdots + a \_ { m n } x \_ { n } = b \_ { m } }\end{array} \right.}

graphemes:

a x 1 2 n b m = ...

see also: consistent, inconsistent
Vector

color: total symbol:

cream .

arrow : pink .

grapheme:

nested

related concepts:

math

coordinates: standard matrix versus B-matrix; similarity, the matrix of a linear transformation

Bases and Linear Independence: Image and kernel are subspaces, Linear independence and zero components, Redundant vectors; linear independence; basis

Subspaces of Rn and their dimensions: Basis and unique representation

Image and Kernel of a Linear Transformation: image of a linear transformation, some properties of the image, Various characterizations of invertible matrices

The Kernel of a Linear Transformation: kernel

physics
Clover

Clover speaks 350 words.

Clover performed at the semi-finals at Turkey's Got Talent 2010! (Clover is 11 years old currently.) If you ask Clover: "What's this?" and it's a cup of water, she'll answer: "It's Water." You can show her yogurt and she will say: "Want some yogurt?" She also can saw Meow when you say" "What does a cat say?"

Source:

https://www.youtube.com/watch?v=9y3VX8VU9kI
Sparkie Williams

This is a photo of Sparkie Williams

https://en.wikipedia.org/wiki/Sparkie\_Williams

https://en.wikipedia.org/wiki/Talking\_bird

Sparkie was able to speak 531 words!

He was born in 1954 at North East England in the United Kingdom. When he was 3 1/2, he got 1st in the BBC International Cage Word Contest in July 1958.

In Newcastle's Hancock Museum, he is there.
Petra

According to https://www.youtube.com/watch?v=ewptevBIqNk&t=170s, Petra was born in 2014. https://petragrey.com/2018/08/12/petras-most-recent-viral-video-just-hit-one-million-views/

## Physical description

### Species

African Gray, Parrot

says the exact date of when Petra was born. Also according to petragrey.com, Petra is a girl. Petra chats with voice assistants, and gets recorded on YouTube. Petra knows 300 words, and can say "Alexa", or "Hey Google" before saying a sentence to the voice assistants.
Parrot Wiki

## Welcome to the Wiki

Welcome to the wiki. We’re a collaborative community website about your topic that anyone, including you, can edit. Click the edit button at the top of any page to get started!

## Describe your topic

Write a description about your topic. Let your readers know what your topic is about and add some general information about it.

## Latest activity

Photos and videos are a great way to add visuals to your wiki. Add one below!

File:Placeholder
Classifacation

This page is just to talk about some stuff like species and orders and more

imagine if you are in a hotel

First a species is it's own thing. everything living thing on earth is it's own species. So it's your room each room is unique in a way.

You are then put in a family so basicly some creatures that closely resemble you or have some of your traits like dragonfly is related to a damselfly because they chair alot of the same stuff. So this is your family

thirdly you are in a class so its just all of the creatures related to you. Basicly every room is near one another

fourthly you'r in a order, so that is every single creature that has features of that category. So it is the hotel.
Alex

Alex is one of the most intellegent parrots in the world! This article is all about Alex.

His total amount of words spoken is about 100.

## Alex's Life

Alex was born in May 1976, in the United Kingdom. Irene Pepperberg bought Alex in a pet sotre while she was a researcher at Purdue University. In 1999, according to Pepperberg, he could identify up to about 50 different objects and recognize quantities up to 6. When he died, his last words was "You be good, see you tommorow. I love you."

## Sources

https://en.wikipedia.org/wiki/Alex\_(parrot)

https://en.wikipedia.org/wiki/Talking\_bird#Grey\_parrots

## Biographical information

### Place of death

Brandeis University, Waltham, Massachusetts, USA
Disco

https://www.youtube.com/user/MsJumpinJude/about

https://www.youtube.com/watch?v=puPnJrjaIDw

https://www.youtube.com/watch?v=Lygw19fY7uE

https://www.youtube.com/watch?v=REWbJkjdZWA

https://www.youtube.com/watch?v=WSn-xrb-Vik

https://www.youtube.com/watch?v=Wmpep\_\_aTO4

https://www.youtube.com/watch?v=S8J4MTYUYzs

https://www.youtube.com/watch?v=DsQKHEeT-UU

https://www.youtube.com/watch?v=zH67VLdvYM8

Disco was born in May 2010, but died in 2017.

In Jan 2011, he could speak about 25 words.

## Biographical information

### Place of death

Western New York

In Jun 2012, he could speak about 100 words.

In April 2013, he could speak about 150 words.

In May 2014, he could speak about 175 words.

In Dec 2014, he could speak about 180 words.

In Feb 2016, he could speak about 200 words.

In 2017, he could speak about 250 words.
Insectss Wiki

## Welcome to the Wiki

Hello welcome to the Insectss wiki. In this wiki you can add pages all about insects, moulusks

<( mainly

slugs and snails) and arachnids.

orders:

https://insectss.fandom.com/wiki/Collembola springtails

https://insectss.fandom.com/wiki/Category:Onychophora velvet worms

https://insectss.fandom.com/wiki/Category:Hymenoptera bees,wasps,ants

https://insectss.fandom.com/wiki/Category:Orthoptera crickets,wetas,grasshoppers,katydids

https://insectss.fandom.com/wiki/Category:Diptera flies

https://insectss.fandom.com/wiki/Category:Coleoptera beetles

https://insectss.fandom.com/wiki/Category:Neuroptera net winged insects.

## Latest activity

Photos and videos are a great way to add visuals to your wiki. Add one below!
Collembola

**Springtails** (**Collembola**) form the largest of the three lineages of modern hexapods that are no longer considered insects (the other two are the Protura and Diplura). Although the three orders are sometimes grouped together in a class called Entognatha because they have internal mouthparts, they do not appear to be any more closely related to one another than they are to all insects, which have external mouthparts.

Collembolans are omnivorous, free-living organisms that prefer moist conditions. They do not directly engage in the decomposition of organic matter, but contribute to it indirectly through the fragmentation of organic matter[2] and the control of soil microbial communities.[3] The word *Collembola* is from the ancient Greek κόλλα *kólla* "glue" and ἔμβολος *émbolos* "peg"; this name was given due to the existence of the collophore, which was previously thought to stick to surfaces to stabilize the creature.[4]

Some DNA sequence studies[5][6][7] suggest that Collembola represent a separate evolutionary line from the other Hexapoda, but others disagree;[8] this seems to be caused by widely divergent patterns of molecular evolution among the arthropods.[9] The adjustments of traditional taxonomic rank for springtails reflects the occasional incompatibility of traditional groupings with modern cladistics: when they were included with the insects, they were ranked as an order; as part of the Entognatha, they are ranked as a subclass. If they are considered a basal lineage of Hexapoda, they are elevated to full class status.

Source:wikipedia
Erika Redmark (MLII)

**Erika Redmark** is a minor character in "Miracula Luxia II".

She is the granddaughter of the legendary Archmage Erika Redmark, as well as the current Archmage of Avernum.

## Overview

*Erika is the granddaughter of the person who was responsible for the demise of Emperor Hawthorne and the start of the Empire-Avernum War- the legendary Archmage Erika Redmark.*

*After the untimely demise of her grandmother, Erika took the matters in her own hands, becoming the Archmage of Avernum herself, as well as becoming the mother of a recently orphaned child whom she met in the city of Silvar.*

*Now, as a guardian of both her own child and the world itself, she is ready to defend everything (and everyone) who is dear to her.*
Benedict (MLII)

(Unnamed)- Daughter ✝

David- Nephew ✝

**Benedict** is a Main Character in "*Miracula Luxia II*" who appears in its sixth Chapter. He is the *true* leader of the "Darkness of Duskwood" bandits.

A cruel and crafty villain, he always finds a way to defeat his enemies, no matter if they are regular people or well-trained warriors. His actions have earned him a bad reputation among the citizens of the world, both in Avernum and on the Surface.

He is the Main Antagonist of "*Miracula Luxia II*" 's sixth Chapter.

## Overview

*Benedict- the man who is both the hunter... **and the hunted**.*

*He and his group of bandits known as the Darkness of Duskwood have been killing innocents for decades and have been hunted by dozens of adventurers and heroes. Up until the moment when he met Jared and his allies, the cruel leader was hunting for one of his biggest enemies- a descendant of Allister's family who turns out to be his dear grandson.*

*Although he is a skilled fighter, Benedict loves to mock his opponents, enough to make them lose faith in themselves. His methods allow him to both run away from a battle and confront his opponents with a deadly combination of strength and precision.*

*However, those things will soon prove to be his undoing as a certain someone will make him realize that nothing is impossible.*

## Death

### Killed By

* Aleks Kaos *(Caused)*

Aleks shoots Benedict in the leg, because he is responsible for the death of his mother decades ago. However, he is unable to kill him, leaving his son to deal with this situation all by himself.

* Jared Kaos *(Caused)*

Jared fights Benedict many times, completely unaware that this man is responsible for the death of his grandmother until the beginning of their last battle. However, the bandit leader manages to get away twice, narrowly avoiding a fate worse than death.

During their last encounter, Jared finally learns the truth. He fights Benedict and manages to subdue him, shooting him in the chest and leg in the process. However, he decides not to kill him, leaving him to become the cause of his own demise.

* Himself *(Caused)*

Benedict stands up and tries to kill Jared. However, the wound in his chest begins to bleed again, forcing him to stumble back.

Unable to keep himself standing, he quickly falls to his death, claiming to return someday as he disappears for good.

## Killed Victims

* Himself *(Caused)*
* Tanya Kaos *(Alive)*
* Numerous counts of unnamed people

## Trivia

* Benedict's character is inspired by Theodore Maddox (Teddy)- an Antagonist in "Fear The Walking Dead".
* Benedict is the first Main Antagonist in "Miracula Luxia II" who managed to survive more than a single battle with a Main Character, namely Jared Kaos.
	+ The first one is in Avernum, when he is nearly killed and successfully tricks his opponent and escapes on the Surface.
	+ The second one is in the city of Paris, when the heroes expected him to die after being crushed by a falling building. However, those rumors turn out to be simple speculations and it is revealed that he escaped the city via a cave system that his bandits dug underneath it.
Douglas' Son (MLII)

This unnamed boy is the son of Douglas and Samantha Claire, mentioned in "Miracula Luxia II" 's third Chapter. He is a young man who died a few months prior to the events of the first Chapter.

## Death

**Killed By**

* Himself *(Caused, Alive)*
* Douglas Claire *(Indirectly Caused, Accidental, Alive)*
* Blood Loss *(Alive)*

In order to protect one of his Darkside Loyalist allies from being killed by his father, his son jumps in the way and gets shot in the chest. Soon, he dies in his parents' arms.

* An unnamed soldier *(Undead)*

After he reanimates, his parents are unable to put him down, so a Duskwood soldier rushes to their aid and shoots the undead boy in the head.

## Killed Victims

* Himself *(Caused, Alive)*
* Numerous counts of unnamed people

## Trivia

* Douglas' son is the first named character who is not an original member of the Darkside Loyalists, but rather joined them and helped them out later on, when they started invading Duskwood and threatening the residents within, trading supplies and information with them. It was after their secret trade was discovered that the loyalists attacked, causing the boy's death.
Baron's Assailant (MLU)

### Cause of Death

Stomach ripped open by an undead Stella. Died of blood loss.  *(Alive)* Stabbed in the temple by William Kaos.  *(Before Reanimation)*

### Status

Deceased

**The Baron's Assailant** is a minor character and an Antagonist in "*MLU*".

He is a trained assassin, sent by the Red Baron to execute William Kaos before he can set his plan into motion, thinking that he will stop him if he acts as quickly as possible.

## Personality

From what little is seen of him, it is clear that the assailant is a lethal engine of destruction. His fast motions show that he is capable of executing his targets with little noise, while making them feel as much pain as possible.

The assailant is shown to be a crafty individual. Instead of fighting an enemy while they are able to fight back, he manages to use the moment of surprise to knock a weapon out of their hands, effectively putting them into a bad situation. He also uses his strength to put them in a chokehold, preventing them from using the rest of their abilities to make up for their lost weapon.

Even so, the man clearly understimates the undead, being unable to take down one by himself. This shows that, while prepared to fight against the living, this assailant is unable to fight against other types of opponents, especially those who cannot be killed easily.

## Death

### Killed By

* Stella *(Infected, Alive)*

The assailant attacks Will while he is still barely awake. The hero tries to attack him with his weapon, but the man knocks him down and puts him in a chokehold while making sure that the sword is as far away as possible.

While attempting to draw the breath out of his lungs, the undead Stella rises from the bed above and lunges at him, sinking her teeth into his neck. The assailant escapes from her grip and attempts to put her down, but the reanimated girl proves to be faster than him.

Almost immediately, the undead Stella rips into the man's stomach, ending his life almost instantly.

* William Kaos *(Before Reanimation)*

After the assailant's demise, Will stands over his corpse, barely able to comprehend the fact that he was attacked in a safezone, let alone Rainbow Sanctuary itself. He watches as the man's skin turns pale and grabs one of the daggers that he used to attack him.

Seconds before he turns into an undead, Will stabs him in the temple, preventing the reanimation of the man who almost executed him.

## Relationships

### Enemies

* William Kaos- Attempted Victim
* *Stella*- Killer
* Geralt Kaos
* Alwyn Grayson

## Trivia

* The assailant is the second character in "*MLU*" who does not have a portrait. The first one is the unnamed Mafia Raid Leader.
* The assailant's death is very similar to the fate of Walter Burns- Stella's killer and caused victim. In a similar situation, the undead Stella saves her boyfriend from the villain, ripping his stomach open as he tries to fight back. However, unlike this person, Stella does not kill Walter and allows Will to finish him off.
Arnov (MLIII)

**Arnov** is a minor character, as well as an Antagonist who appears in "*Miracula Luxia III*".

He is the right hand man of Trajkov, up until the fall of their group.

## Overview

*Nothing is known about this strange man, ally of the sinister Sholai. However, he claims to be Trajkov's right hand man which means that he must be respected by the rest of his kind on the island. At least to some extent.*

*During the event when we see him for the first time, he seems to have become desperate. Paranoid. And thus, very dangerous. He captured Sharla and tried to kill her, just to prove himself to his deceased master and show that he is truly merciless and brave.*

*But this is not the case. Arnov fought like a coward and died like one. Period.*

## Death

### Killed By

* Himself *(Indirectly Caused)*

Despite being freed and allowed to leave peacefully by Adam, he proceeds to attack him, condemning himself and sealing his own fate.

* Adam Kaos

Adam confronts Arnov after he realizes that he is intending to kill Sharla. He manages to pull him away from her and fights him to keep her safe.

It does not take him long to subdue and cower the Shoilai coward into submission. He asks him questions regarding the whereabouts of his sister, believing that he was with the team that abducted her. Arnov tries to respond, but does not say anything relevant until Adam shows an uncontrollable amount of anger that has been amplified by the Geneforge (Which he used not too long ago).

Annoyed by the man's cowardice, Adam decides to let him go, feeling bad about forcing someone to tell him information. However, his kindness backfires when Arnov attacks him back, intending to kill him and avenge his revered employer- Trajkov.

This does not work, though. As soon as Arnov makes the first move, Adam steps back and stabs him in the head.

## Trivia

* Arnov is the last Antagonist who dies in "Miracula Luxia III" 's first Chapter ("Tales Of The Geneforge").
* Arnov and Varis are the only semi-main characters (and Antagonists) in Chapter I who share the same lifespan (*One Part*).
Abigail Lawson (MLTO)

Dante Gonoru- Crush

Kaiden Kaos- Former Crush

**Abigail Lawson** is a minor character in "MLIV:TO".

She is a girl hailing from the big city who has known both Geralt and Kaiden for a long time, although she clearly shares a stronger, one-sided connection with the former.

## Overview

*A gloomy, yet beautiful girl who has been living in the big city for what seems like an eternity. She is a little spoiled and often sits on her computer, away from any kind of communication with real people. However, she still has a few friends. And she values friendship over almost everything else.*

*Abigail has been trying to find true love for many years. She has been dreaming for someone to take her in his arms and tell her how much he loves her. Of course, those are just girly fantasies that most girls tend to have, but hers is strangely vivid. And she's doing her best to make it a reality.*

*Although a little distant and secluded, Abigail is good friends with the Kaos siblings- most notably with the oldest one- Kaiden. She has been trying to get his attention for years, but her efforts were always in vain.*

*And yet, she was not fast enough. Another girl took Kaiden's heart away and Abigail was left heartbroken. Her knight in shining armor is no longer alone. Even though she feels rather angry about it, she is also proud, as she knows that he is still loved, albeit by someone else.*

*Recently, Abigail set her sights on a certain boy from a nearby kingdom. Even though they have not known each other for way too long, the girl has always felt a strange connection to him. He has always attracted her, just like a magnet.*

***Will Abigail get another chance in love?***

## Trivia

* Abigail's name, parts of her appearance, as well as her strange mannerisms were taken from a "*Stardew Valley*" character who has the same name. However, unlike the Abigail in-game, this Abigail is not quite the same. Some of the most notable differences are:
	+ She does not fight and/or argue with her parents and accepts their advice.
	+ She is not the daughter of a store owner.
	+ She is not fond of most of the things that "*Stardew Valley*" 's Abigail loves, although she still really likes gems, most notably Amethysts and Diamonds.
	+ She has no male friends, except for Geralt and Kaiden.
	+ She does not play the drums and is not a member of a band.
	+ She has a crush on a certain character even before she is fully introduced, unlike her namesake who didn't know the Protagonist until they talked for the first time after their arrival.
* Abigail is the first character in the "Miracula Luxia" series overall, as well as the first one in "MLIV:TO", whose primary element is DARK, but is not an Antagonist.
* It is more than clear that Abigail has a huge crush on Kaiden, although she often takes pains not to show it in front of him.
	+ However, since Kaiden fell in love with the governor's daughter- Isabella Moonglow, Abigail eventually gave up and set her sights on a boy that is just as charming as him- Dante Gonoru.