e^{iπ} + 1 = 0

E = m c^{2}

i ℏ \frac{\partial}{\partial t} Ψ = H^Ψ

G_{μν} + Λ g_{μν} = \frac{8 π G}{c ^{4}} T_{μν}

ζ (s) = \sum_{n = 1}^{\infty} \frac{1}{n ^{s}} = \prod_{p} \frac{1}{1 - p ^{- s}}

\int_{- \infty}^{\infty} e^{- x^{2}} d x = π

\nabla \times B = μ_{0} J + μ_{0} ε_{0} \frac{\partial E}{\partial t}

\frac{\partial V}{\partial t} + \frac{1}{2} σ^{2} S^{2} \frac{\partial ^{2} V}{\partial S ^{2}} + r S \frac{\partial V}{\partial S} - r V = 0

df = (μ f^{'} + \frac{1}{2} σ^{2} f^{''}) d t + σ f^{'} d W

P (A ∣ B) = \frac{P ( B ∣ A ) P ( A )}{P ( B )}

H (X) = - \sum_{i} p_{i} lo g_{2} p_{i}

\frac{d}{d t} \frac{\partial L}{\partial q ˙} - \frac{\partial L}{\partial q} = 0

f^(ξ) = \int_{- \infty}^{\infty} f (x) e^{- 2 π i x ξ} d x

\oint_{\partial Ω} ω = \int_{Ω} d ω

// Mathematics

What we calculate with.

The methods our systems stand on — and two detailed formula collections for reference. All of it is in the textbooks. What we build out of it is in none of them.

Basics

The methods our systems stand on: statistics, volatility, evaluation and risk, protection against self-deception, processes and microstructure — each with what it is for and where it misleads.

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The deepest equations of mathematics and physics — from the Riemann zeta function to the Standard Model —, each with a bridge to quant trading. In German.

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