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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)