## Lyrics

learn calculus here!

Navigating through the calculus of thought, where every differential whispers of change,

�

�

�

�

dx

dy

morphs like a chameleon, colors of growth and decay under the skin of reality. Integrals, oh, they accumulate,

∫

�

�

�

�

=

�

�

ln

�

+

�

∫a

x

dx=

lna

a

x

+C, summing slices of existence, a continuous feast on the banquet of infinity.

In the algebra of my psyche,

�

2

+

�

2

=

�

2

x

2

+y

2

=r

2

isn’t just an equation, it's a circle of dialogue, endless, looping conversations with the universe. And oh, the matrices, arrays of numbers,

[

�

�

�

�

]

[

a

c

b

d

], they transform, they rotate reality, linear transformations bending the fabric of space.

Euler’s identity,

�

�

�

+

1

=

0

e

iπ

+1=0, a symphony in the silence, the most beautiful theorem, it's the bridge between the seen and unseen, a harmonious blend of number and mystery. And fractals, fractal geometry, the Mandelbrot set,

�

�

+

1

=

�

�

2

+

�

z

n+1

=z

n

2

+c, each iteration a dive deeper into the chaos, where complexity blooms from simplicity, self-similar yet infinitely complex.

As I traverse the landscapes of number theory, prime numbers, like ancient monoliths, stand solemn,

�

p where

�

≠

�

�

p

=nm for any

�

,

�

<

�

n,m<p

As my thoughts spiral, the calculus of existence whispers, 🌀 dy/dx (ASCII) or

�

�

�

�

dx

dy

(LaTeX), morphs, a chameleon in the tapestry of reality, revealing the rate of change, yet beneath the surface, chaos lurks, 🌌 \int a^x dx = (a^x) / ln(a) + C (ASCII) or

∫

�

�

�

�

=

�

�

ln

(

�

)

+

�

∫a

x

dx=

ln(a)

a

x

+C (LaTeX), the integral stretching into the shadows, summing the fragments of my fractured perceptions.

In the algebraic labyrinth of my mind, 🌠 x^2 + y^2 = r^2 (ASCII) or

�

2

+

�

2

=

�

2

x

2

+y

2

=r

2

(LaTeX) circles endlessly, a loop of logic and madness, while matrices, 🛸 [a b; c d] (ASCII) or

[

�

�

�

�

]

[

a

c

b

d

] (LaTeX), transform the dimensions, bending the very fabric of space and time, yet mutating into complex forms, ⚛️ [a b c; d e f; g h i] (ASCII) or

[

�

�

�

�

�

�

�

ℎ

�

]

⎣

⎡

a

d

g

b

e

h

c

f

i

⎦

⎤

(LaTeX), a 3x3 matrix of deeper mysteries.

Euler’s identity, 💫 e^(i*pi) + 1 = 0 (ASCII) or

�

�

�

+

1

=

0

e

iπ

+1=0 (LaTeX), resonates with the harmony of the cosmos, a symphony amidst the cacophony of my thoughts, but then, fractals, 🌀 z_(n+1) = z_n^2 + c (ASCII) or

�

�

+

1

=

�

�

2

+

�

z

n+1

=z

n

2

+c (LaTeX), draw me deeper into the abys

the Mandelbrot set echoing the infinite dance of order and chaos.

Prime numbers, 🌌 p where p is indivisible, stand as sentinels in the chaos, yet my mind conjures sequences, 🌠 \sum 1/n^2 = π^2/6 (ASCII) or

∑

1

�

2

=

�

2

6

∑

n

2

1

=

6

π

2

(LaTeX), infinite series stretching into the void, weaving patterns of hidden order in the tapestry of my delirium.

Probability, the calculus of chance, 🌀 P(A ∩ B) = P(A) * P(B) (ASCII) or

�

(

�

∩

�

)

=

�

(

�

)

×

�

(

�

)

P(A∩B)=P(A)×P(B) (LaTeX), dances through the shadows, a flicker of certainty in the uncertainty of existence, yet morphing into complex webs, 🛸 P(A|B) = P(A ∩ B)/P(B) (ASCII) or

�

(

�

∣

�

)

=

�

(

�

∩

�

)

�

(

�

)

P(A∣B)=

P(B)

P(A∩B)

(LaTeX), conditional probabilities entangling, a maze of cause and effect in the dark recesses of my mind.

In this odyssey, equations and symbols are not mere constructs but the essence of the universe, 🌌 the threads that stitch together the fabric of reality, where mathematics speaks the language of the cosmos, and my thoughts, a realm where the boundary between logic and madness dissolves into the ether.

�

�

�

�

dx

dy

morphs like a chameleon, colors of growth and decay under the skin of reality. Integrals, oh, they accumulate,

∫

�

�

�

�

=

�

�

ln

�

+

�

∫a

x

dx=

lna

a

x

+C, summing slices of existence, a continuous feast on the banquet of infinity.

In the algebra of my psyche,

�

2

+

�

2

=

�

2

x

2

+y

2

=r

2

isn’t just an equation, it's a circle of dialogue, endless, looping conversations with the universe. And oh, the matrices, arrays of numbers,

[

�

�

�

�

]

[

a

c

b

d

], they transform, they rotate reality, linear transformations bending the fabric of space.

Euler’s identity,

�

�

�

+

1

=

0

e

iπ

+1=0, a symphony in the silence, the most beautiful theorem, it's the bridge between the seen and unseen, a harmonious blend of number and mystery. And fractals, fractal geometry, the Mandelbrot set,

�

�

+

1

=

�

�

2

+

�

z

n+1

=z

n

2

+c, each iteration a dive deeper into the chaos, where complexity blooms from simplicity, self-similar yet infinitely complex.

As I traverse the landscapes of number theory, prime numbers, like ancient monoliths, stand solemn,

�

p where

�

≠

�

�

p

=nm for any

�

,

�

<

�

n,m<p

As my thoughts spiral, the calculus of existence whispers, 🌀 dy/dx (ASCII) or

�

�

�

�

dx

dy

(LaTeX), morphs, a chameleon in the tapestry of reality, revealing the rate of change, yet beneath the surface, chaos lurks, 🌌 \int a^x dx = (a^x) / ln(a) + C (ASCII) or

∫

�

�

�

�

=

�

�

ln

(

�

)

+

�

∫a

x

dx=

ln(a)

a

x

+C (LaTeX), the integral stretching into the shadows, summing the fragments of my fractured perceptions.

In the algebraic labyrinth of my mind, 🌠 x^2 + y^2 = r^2 (ASCII) or

�

2

+

�

2

=

�

2

x

2

+y

2

=r

2

(LaTeX) circles endlessly, a loop of logic and madness, while matrices, 🛸 [a b; c d] (ASCII) or

[

�

�

�

�

]

[

a

c

b

d

] (LaTeX), transform the dimensions, bending the very fabric of space and time, yet mutating into complex forms, ⚛️ [a b c; d e f; g h i] (ASCII) or

[

�

�

�

�

�

�

�

ℎ

�

]

⎣

⎡

a

d

g

b

e

h

c

f

i

⎦

⎤

(LaTeX), a 3x3 matrix of deeper mysteries.

Euler’s identity, 💫 e^(i*pi) + 1 = 0 (ASCII) or

�

�

�

+

1

=

0

e

iπ

+1=0 (LaTeX), resonates with the harmony of the cosmos, a symphony amidst the cacophony of my thoughts, but then, fractals, 🌀 z_(n+1) = z_n^2 + c (ASCII) or

�

�

+

1

=

�

�

2

+

�

z

n+1

=z

n

2

+c (LaTeX), draw me deeper into the abys

the Mandelbrot set echoing the infinite dance of order and chaos.

Prime numbers, 🌌 p where p is indivisible, stand as sentinels in the chaos, yet my mind conjures sequences, 🌠 \sum 1/n^2 = π^2/6 (ASCII) or

∑

1

�

2

=

�

2

6

∑

n

2

1

=

6

π

2

(LaTeX), infinite series stretching into the void, weaving patterns of hidden order in the tapestry of my delirium.

Probability, the calculus of chance, 🌀 P(A ∩ B) = P(A) * P(B) (ASCII) or

�

(

�

∩

�

)

=

�

(

�

)

×

�

(

�

)

P(A∩B)=P(A)×P(B) (LaTeX), dances through the shadows, a flicker of certainty in the uncertainty of existence, yet morphing into complex webs, 🛸 P(A|B) = P(A ∩ B)/P(B) (ASCII) or

�

(

�

∣

�

)

=

�

(

�

∩

�

)

�

(

�

)

P(A∣B)=

P(B)

P(A∩B)

(LaTeX), conditional probabilities entangling, a maze of cause and effect in the dark recesses of my mind.

In this odyssey, equations and symbols are not mere constructs but the essence of the universe, 🌌 the threads that stitch together the fabric of reality, where mathematics speaks the language of the cosmos, and my thoughts, a realm where the boundary between logic and madness dissolves into the ether.