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Questions tagged [geometry]

For questions about geometric shapes, congruences, similarities, transformations, as well as the properties of classes of figures, points, lines, and angles.

2
votes
0answers
62 views
+50

Using Coordinate Descent on Projected Space

My goal is to maximize an objective function using coordinate descent over a 3-dimensional vector. In the simple case the domain over which I am maximizing is defined as follows: $X \in \mathcal{X}$ ...
2
votes
1answer
98 views
+50

Special proof for Pick's Theorem?

This is kind of a two-part question and I think one should lead to the other- Could someone show or point me to a proof of the theorem for primitive triangles. Also, let's say we have a lattice ...
5
votes
0answers
89 views
+100

Existence of a smooth time-dependent 1-form $\mu_t$ satisfying $\omega_t = d \mu_t$ for a given smooth time-dependent exact 2-form

Given a compact manifold $M$ and a smooth time-dependent exact 2-form $\omega_t$ on $M$, is it possible to find a smooth time-dependent 1-form $\mu_t$ on $M$ such that $\omega_t = d \mu_t$? Related ...