My past research interests included differential algebraic equations, nonlinear analysis and relations between symmetries and structural properties.

I recently investigated hierarchical structures, starting from group cohomology, continuing with semi-group theory and ending with lattices and universal algebra.

1d
answered What are good parametrizations of rational functions for response surface models?
2d
reviewed Reviewed Finite elements on manifold
Feb
25
comment What are good parametrizations of rational functions for response surface models?
@DaveKielpinski There are different parametrizations for polynomial functions, like monomial basis, Lagrange basis, Bernstein basis, all understood extremely well. Similar situation for piecewise polynomial functions. For rational functions, I have less experience and knowledge about the different parametrizations for rational functions. I indicated in the questions that I started to pick up that knowlege for univariate functions, but for multivariate functions, I would like to learn more...
Feb
23
reviewed Close Show that a sum of iid Bernoulli trials has a binomial probability distribution.
Feb
23
reviewed Leave Open Evaluate $\sum_{k=0}^{n} (2k+1) {n \choose k}$
Feb
23
reviewed Leave Open I need help with negating nested quantifiers.
Feb
23
reviewed Close an inequality in Banach algebra
Feb
23
reviewed Leave Open Not sure how to solve this proof
Feb
23
reviewed Leave Open Binomial Formula Application
Feb
23
reviewed Close Metric space connected sometimes
Feb
23
reviewed Close finding equilibrium points of 2 dimensional differantial equations
Feb
23
answered How do people who study intensely abstract mathematics "imagine" or understand the concepts they are studying or being taught?
Feb
23
reviewed Leave Open Approximate the size of a set given random items from the set.
Feb
23
reviewed Leave Open I want to find a topologicaly embedding $f : X \rightarrow Y$ and $g: Y \rightarrow X$, yet $X$ is not homeomorphic to $Y$.
Feb
23
reviewed Close If $f$ is non-negative and summable, then $\mu (\{x∈X: f(x) > c\}) < \frac{1}{c} \int f \,d\mu$.
Feb
23
reviewed Close For $z, w \in\mathbb C$, prove that $2|zw| \le |z|^2+|w|^2$
Feb
23
reviewed Leave Open Suppose $f,g$ are measurable functions on $X$, then show the set $\{ x\in X:f(x) >g(x) \}$ is $\mu$-measurable.
Feb
23
reviewed Close Precise mathematical definition of Probability.
Feb
23
reviewed Close Linear Optimization
Feb
23
reviewed Close G is a cyclic group of order 36, generated by a
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