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 Apr 20 answered Is there an Answer to 1/0 Apr 18 comment Measure of $|g| = ||g||_\infty$, with $g \in L_\infty$. Lebesgue measure is never less than zero. Apr 11 comment Adjoint of Derivative Operator Write down the defining equation for $T^*$: you need $\langle Tf,g\rangle = \langle f,T^*g\rangle$. Use this, your definition of $\langle \cdot,\cdot\rangle$, and integration by parts. Apr 11 answered Adjoint of Derivative Operator Apr 8 answered Path - Geometry Apr 8 comment Path - Geometry Will you have a local advisor at your university, or will you be working alone? Do you know Riemannian geometry? Probably choosing a classical paper will be more effective than a book. Apr 7 comment Impulse function (Delta Dirac function) strength Yes, the correct way to think about the "strength" of the delta function is its area. Apr 7 answered Impulse function (Delta Dirac function) strength Apr 5 answered Need help creating a power series for with specific condtions Apr 5 revised How do i find a basis for the span of a set of functions? added 845 characters in body Apr 5 comment How do i find a basis for the span of a set of functions? Well, the big hint is that if you are able to (correctly) prove that $\sin(x),\cos(x)$ and $e^x$ are linearly independent, then those 3 functions are by definition a basis for span($V$). Apr 5 answered How do i find a basis for the span of a set of functions? Mar 4 revised Distribution of Coefficients in Karhunen-Loeve Expansion added 16 characters in body Mar 4 asked Distribution of Coefficients in Karhunen-Loeve Expansion Feb 19 awarded Good Answer Feb 17 comment Random vector with a random number of entries Cool, thanks. My intuition failed me here for some reason. Feb 17 accepted Random vector with a random number of entries Feb 17 comment Random vector with a random number of entries See edited question. So, more appropriate might be $\Bbb{N}\times\cup_{n=1}^\infty\Bbb{R}^n$...? Feb 17 revised Random vector with a random number of entries added 89 characters in body Feb 17 comment Random vector with a random number of entries Right, sorry - poorly phrased question. I meant to then state that $N$ can be infinite (I.e. $n$ is a discrete RV e.g. Poisson)