3 ms·
Nice write up, truly after my own heart! Part of my research had to do with using Lagrange's method of multipliers to design B-spline geometry via solution of
by tobmlt 7y ago
Nice write up, truly after my own heart! Part of my research had to do with using Lagrange's method of multipliers to design B-spline geometry via solution of constrained nonlinear optimization problems, where we had these bending energy measures included to smooth the resulting curves and surfaces. I realized in the course of things that the functional I was minimizing had this parallel with Physics. The answer to so much is at the minimum! Nice to see somebody with the same train of thought put it to print!
Annd... From the perspective a freshly minted PhD, who was always in a terrible fright before giving a talk, I look at the critiques in the following way: It's hard to put yourself out there about such a topic, knowing at the same time such awe at the beautiful, towering edifice of mathematical theory, experiment, and geometry that makes up physics. But the critiques help refine one's thinking, and are always to be welcomed. Good on them for pointing out the places where things need to be sharpened a bit. At the same time, I love the big picture. That's what keeps me coming back.
That's the viewpoint where there are such similar structures and relationships between the way we solve problems in far flung fields. One can leverage what one has learned in one field to get a head start, (or at least a toe-hold!) learning another. Cheers.