User:The-erinaceous-one
Appearance
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
[edit]- 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
- Major update to Semi-continuity (added set-valued definitions, reorganized properties)
Useful templates and Snippets
[edit]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
Source code
[edit]
<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>