The-erinaceous-one

Hello, I am a PhD student of Applied Mathematics at the University of California, Santa Cruz where I research hybrid dynamical systems and control theory. See my WikiData profile or my wesbite for more information.

Significant Contributions

• Created Clarke generalized derivative
• Major update to Rate of convergence
• Major update to Control-Lyapunov function
• Major update to barrier certificate
• Major update to Clohessy–Wiltshire equations

Useful templates and Snippets

Mathematical theorems.

{{Math theorem
| name = Hölder's inequality
| note = 
| math_statement = 
Let {{math|(''S'', Σ, ''μ'')}} be a [[measure space]] and let {{math|''p'', ''q'' ∈}} {{closed-closed|1, ∞}} with {{math|1/''p'' + 1/''q'' {{=}} 1}}. Then for all [[measurable function|measurable]] [[real number|real]]- or [[complex number|complex]]-valued [[function (mathematics)|functions]] {{mvar|f}} and {{mvar|g}} on {{mvar|S}}

Optimization problems

$${\begin{aligned}{\underset {x\in \mathbb {R} ^{n}}{\text{minimize}}}\quad &f(x)\\{\text{subject to}}\quad &Ax\leq b,\end{aligned}}$$

Source code

<math display="block> \begin{aligned} \underset{x \in \mathbb{R}^n}{\text{minimize}}\quad & f(x) \\ \text{subject to}\quad & Ax \leq b, \end{aligned} </math>