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Math-ffirmations

Find balance through symmetry.

f(x)=f(x)


Approximation improves with experience.

ex=n=0xnn!=1+x+x22!+x33!+


To untangle is to meditate.


Be ever-changing.

dudt0


Allow for transformation.

Let aC and |a|<1, thenφa(z)=za1a¯z


Embrace the ups and downs, for your breath, the sun, and the tide all do.

sinθ


Complex rotations have a center and so do you.

f(z)=eiθz


Seek beauty in the irrational.

ϕ


Make connections through seeking patterns.

n=11ns=p prime11ps


Find contentment and beauty in the finite.


Count in different ways to deepen understanding.

f:N2N,f(n)=2n


You are a variable that is part of a greater equation.

eix=cos(x)+isin(x)


In everything find commonality.


Contemplate the products of infinite possibilities.

I=n=1possibilityn


Be independent and connected at the same time.

Borromean Rings (grayscale)


You are greater than any part of you.

i=1nxi>max1in(xi)


Life is a unique composite of experiences.

Let nN, then n=p1a1p2a2pkak


Through all changes, some truths remain constant.

gG,ge=eg=g


Manifold

You

are this

collection of points.

Each sunrise observed,

 hand held, dream found, breath taken,

is a set that makes the topological surface

of self.   Dimensions determined – yet not realized. 

You are solutions to an infinite system

of unimaginable possibilities.

Maybe differentiable (or not),

it is the perspectives and

mappings that give

glimpses of what

it means

to be

to exist.


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Sophia

Mathematics educator and creative coder exploring the beauty of mathematical concepts through interactive visualizations and playful learning.

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