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Aug
21
comment Convergence in $L^2$ on $C([0,1])$ implies convergence in $L^1$.
The continuity is not needed. The boundedness of $[0,1]$ is needed to make $\|1\|_2$ finite.
Aug
21
answered Is there a linear decomposition of the Hadamard inverse of the sum of two matrices?
Aug
21
revised Are the Bernoulli denominators always divisible by these corresponding primes?
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Aug
21
answered What does it mean that a taylor series generated for a function f(x) doesnt converge to f(x)?
Aug
21
comment What does it mean that a taylor series generated for a function f(x) doesnt converge to f(x)?
Even if the infinite series has radius of convergence $0$, i.e. doesn't converge anywhere except $x=a$ (which can happen) a finite truncation of that series (a Taylor polynomial) is still a good approximation to $f(x)$ for $x$ sufficiently close to $a$.
Aug
21
answered Are the Bernoulli denominators always divisible by these corresponding primes?
Aug
21
revised Scale invariant ODE. Is this general method correct?
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Aug
21
answered Solving an equation for a give parameter.
Aug
20
answered Can I use an upper semi-circle to integrate this function?
Aug
20
comment How to set a function value or expression over a domain in Maple
An ODE is for a function of one variable, not three. Which is the variable?
Aug
20
answered Number of ways to sample a specific number of objects from a collection with several types of objects.
Aug
20
comment Nonlinear transform of two random variables for Gaussianity
I really don't understand what you're looking for here.
Aug
20
comment Solving this Integral with Bessel Functions
For example, for small $a$ the lowest-order approximation is $$\dfrac{a^2}{2z} \exp(-z \sqrt{s/\alpha})$$.
Aug
20
comment Solving this Integral with Bessel Functions
Approximate in what way? Can any of the variables $a$, $\alpha$, $s$, $z$ be considered small or large for the purpose of a series or asymptotic solution?
Aug
20
answered Nonlinear transform of two random variables for Gaussianity
Aug
20
revised Does $\lim\limits_{n \to +\infty} \left(\frac{n}{f(1)} \int_0^1 x^n f(x) dx \right)^n$ exists?
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Aug
20
answered Does $\lim\limits_{n \to +\infty} \left(\frac{n}{f(1)} \int_0^1 x^n f(x) dx \right)^n$ exists?
Aug
20
comment particular solution of non-homogeneous differential equation
You might look at math.ubc.ca/~israel/m215/coco/coco.html and math.ubc.ca/~israel/m215/undcoef/undcoef.html
Aug
20
comment Varying definitions for concavity of a function
No, it does not need to be differentiable even once. For example, $-|x|$ is concave.
Aug
20
revised Varying definitions for concavity of a function
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