Zeta.Investigator
Reputation
955
Next privilege 1,000 Rep.
Create new tags
 Jan 31 comment How to gain an intuition of the affine function's definition? A graphical representation or an application of it. I think people who defined such things had a problem to address. I don't think of it as only a manipulation of symbols Jan 30 comment How to gain an intuition of the affine function's definition? Thanks. This is more on the advanced side. I should study your answer carefully when I have time Jan 30 comment How to gain an intuition of the affine function's definition? Thanks. This is in fact the answer of the question in the homework I asked of. I've already solved it similar to your way. Actually I'm looking for an intuition of affinity Jan 30 comment How to gain an intuition of the affine function's definition? Vielen Dank Herr Professor. So here is what I understand: We have a line connecting two points in a n-dimensional space. An Affine Function is in fact the process of rotating and zooming in (or out) of that line with keeping in account the scalar factor by which we zoomed in (or out). Is this a correct picture? Jan 29 comment How to gain an intuition of the affine function's definition? @molarmass Why this kind of restriction : $\alpha + \beta = 0$ ? We could have explicitly omitted the case where both $\alpha$ and $\beta$ equal 0...Or we could have used something like $\alpha \times \beta = 1$ Jan 27 comment Bendixson's condition for existence of limit cycle for a nonlinear system Thank you very much Jan 27 comment Bendixson's condition for existence of limit cycle for a nonlinear system Yes, I've read the proof which uses Stokes Theorem Jan 27 comment Bendixson's condition for existence of limit cycle for a nonlinear system So "does not vanish" isn't quite a suitable term here? Jan 27 comment Bendixson's condition for existence of limit cycle for a nonlinear system Bendixson's condition requires the derivative being non-zero. 4(x1^2 + x2^2) is nonzero everywhere except at the origin. So we can't state anything about whether the system has limit cycle or not. Am I right? Jan 26 comment Bendixson's condition for existence of limit cycle for a nonlinear system yes. and the derivative is not strictly positive also. Why is it considered being nonzero? Dec 28 comment How to reshape a nonlinear inquality into a linear matrix inequality? @JohanLöfberg Good point there professor Lofberg. How did you find out that the problem is not convex? I mean was there a simple inspection or did you plot the region? Dec 28 comment How to reshape a nonlinear inquality into a linear matrix inequality? @dineshdileep Schur. Any idea? Nov 22 comment How to prove triangle inequality for $\|u\| = \langle{u,u}\rangle ^{0.5}$ @Slade Exactly. How to prove your representation? Nov 22 comment How to prove triangle inequality for $\|u\| = \langle{u,u}\rangle ^{0.5}$ We want to prove that a vector inner-product namely $^{0.5}$ is a norm. We can't use something we want to prove in the process Nov 22 comment How to prove triangle inequality for $\|u\| = \langle{u,u}\rangle ^{0.5}$ also we can't use ||u^2|| instead of ^0.5 since we have not proven it to be a norm yet Nov 22 comment How to prove triangle inequality for $\|u\| = \langle{u,u}\rangle ^{0.5}$ I've already reached this far but I don't know how to proceed. That is How to show that your statement is less than norm of u + norm of v? Nov 22 comment How to prove triangle inequality for $\|u\| = \langle{u,u}\rangle ^{0.5}$ @Slade I've tried that before. But I'm stuck on something else which I can't prove Oct 17 comment How to calculate $(I + GH)^{-1}$? @hardmath Seems like they are the same. But the thing is I didn't quite know "Rand one perturbation" has anything to do with my question beforehand... Oct 17 comment How to calculate $(I + GH)^{-1}$? @Eff More like Shermanâ€“Morrison formula. Thanks;) Oct 12 comment Analytic region of $f(z)^{1/n}$ @mark Ah, you are right, f(z) is analytic