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 Curious
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Feb
3
accepted How to gain an intuition of the affine function's definition?
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
30
awarded  Curious
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
29
asked How to gain an intuition of the affine function's definition?
Jan
27
comment Bendixson's condition for existence of limit cycle for a nonlinear system
Thank you very much
Jan
27
accepted Bendixson's condition for existence of limit cycle for a nonlinear system
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
revised Bendixson's condition for existence of limit cycle for a nonlinear system
added 142 characters in body
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?
Jan
26
asked Bendixson's condition for existence of limit cycle for a nonlinear system
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?
Dec
28
revised How to reshape a nonlinear inquality into a linear matrix inequality?
edited body
Dec
27
asked How to reshape a nonlinear inquality into a linear matrix inequality?