가사
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.
