Math-ffirmations
Find balance through symmetry.
$$f(x) = f(-x)$$
Approximation improves with experience.
$$e^x = \sum_{n=0}^{\infty} \frac{x^n}{n!} = 1 + x + \frac{x^2}{2!} + \frac{x^3}{3!} + \cdots$$
To untangle is to meditate.
$$\huge{\bigcirc}$$
Be ever-changing.
$$\frac{du}{dt} \ne 0$$
Allow for transformation.
$$\text{Let } a \in \mathbb{C} \text{ and } |a| < 1\text{, then} \varphi_a(z) = \frac{z-a}{1-\bar{a}z}$$
Embrace the ups and downs, for your breath, the sun, and the tide all do.
$$\sin{\theta}$$
Complex rotations have a center and so do you.
$$f(z) = e^{i\theta}z$$
Seek beauty in the irrational.
$$\phi$$
Make connections through seeking patterns.
$$\sum_{n=1}^{\infty} \frac{1}{n^s} = \prod_{p \text{ prime}} \frac{1}{1-p^{-s}}$$
Find contentment and beauty in the finite.
Count in different ways to deepen understanding.
$$f: \mathbb{N} \rightarrow 2\mathbb{N}, \quad f(n) = 2n$$
You are a variable that is part of a greater equation.
$$e^{ix} = \cos(x) + i\sin(x)$$
In everything find commonality.
Contemplate the products of infinite possibilities.
$$\text{I} = \prod_{n=1}^{\infty} \text{possibility}_n$$
Be independent and connected at the same time.
You are greater than any part of you.
$$\sum_{i=1}^{n} x_i > \max_{1 \leq i \leq n}(x_i)$$
Life is a unique composite of experiences.
$$\text{Let } n \in \mathbb{N},\text{ then } n = p_1^{a_1}p_2^{a_2}\cdots p_k^{a_k}$$
Through all changes, some truths remain constant.
$$\forall g \in G, \quad g \circ e = e \circ g = g$$
$$\text{Manifold}$$
$$\text{You}$$
$$\text{are this}$$
$$\text{collection of points.}$$
$$\text{Each sunrise observed,}$$
$$\text{ hand held, dream found, breath taken,}$$
$$\text{is a set that makes the topological surface}$$
$$\text{of self.}$$ $$\text{ }$$ $$\text{Dimensions determined – yet not realized. }$$
$$\text{You are solutions to an infinite system}$$
$$\text{of unimaginable possibilities.}$$
$$\text{Maybe differentiable (or not),}$$
$$\text{it is the perspectives and}$$
$$\text{mappings that give}$$
$$\text{glimpses of what}$$
$$\text{it means}$$
$$\text{to be}$$
$$\text{–}$$ $$\text{to exist.}$$