Reputation
955
Next privilege 1,000 Rep.
Create new tags
Badges
4 21
Newest
 Curious
Impact
~63k people reached

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 $<u,u>^{0.5}$ 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 <u,u>^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 Sherman–Morrison formula. Thanks;)
Oct
12
comment Analytic region of $f(z)^{1/n}$
@mark Ah, you are right, f(z) is analytic