Taylor Martin
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 May9 answered Variation of parameters: $y''-y'-2y=4e^{-t}$ May9 answered Questions about surface integrals and an example problem May9 revised Riemann-Lebesgue lemma added 131 characters in body May9 answered Riemann-Lebesgue lemma May9 awarded Yearling May8 revised Let $f$ be a real-valued function on $[a,b]$ such that $f(x) = 0$ for all $x \neq c_1,…,c_n$. Prove that $f \in R[a,b]$ with $\int_a^b f = 0$ [Edit removed during grace period]; added 3 characters in body May8 revised Let $f$ be a real-valued function on $[a,b]$ such that $f(x) = 0$ for all $x \neq c_1,…,c_n$. Prove that $f \in R[a,b]$ with $\int_a^b f = 0$ [Edit removed during grace period]; added 3 characters in body May8 comment Let $f$ be a real-valued function on $[a,b]$ such that $f(x) = 0$ for all $x \neq c_1,…,c_n$. Prove that $f \in R[a,b]$ with $\int_a^b f = 0$ Once $\delta$ is small enough, the $c_{n}$ do lie in separate sub-intervals. May8 answered Let $f$ be a real-valued function on $[a,b]$ such that $f(x) = 0$ for all $x \neq c_1,…,c_n$. Prove that $f \in R[a,b]$ with $\int_a^b f = 0$ May6 revised Find $[E(Y^2)]$. When $Y = 3 * X - 5$ and $X$ is distributed in range $[0, 5]$ added 182 characters in body May6 revised Find $[E(Y^2)]$. When $Y = 3 * X - 5$ and $X$ is distributed in range $[0, 5]$ edited body May6 answered Find $[E(Y^2)]$. When $Y = 3 * X - 5$ and $X$ is distributed in range $[0, 5]$ May6 answered Fourier transform and sufficient condition… May6 answered Consider the differential equation: $y'=\frac{x^2}{1-y^2}$ Apr29 comment Left sided limit of an Riemann-Stieltjes integral Yes, that's fine, since $\alpha$ is left continuous at $b$ and $|f|$ is bounded by the assumption $f\in\mathscr{R}(\alpha)$. Apr28 comment What is $\int e^{-\frac{(y-\mathbf{x}^T\mathbf{\theta})^2}{2}}d\mathbf{\theta}$? It's the same thing. You're just taking one more step. Apr28 comment Need to find infimum S!! ^ essentially, yes. And using your calculator to plug in sample values is not an acceptable argument. It is sometimes helpful for giving you intuition and an idea of what the answer should be, but in this situation you need to apply some additional reasoning. Apr28 answered Need to find infimum S!! Apr28 comment Need to find infimum S!! How exactly are you coming up with the number -0.98? It's quite obvious that it can't be this, since there is an $n$ such that $-1\leq\cos(\pi\sqrt{n}/2)<-0.98.$ The periodicity of $\cos$ then allows you to take $n$ large enough so that $2/n$ is as small as you like. Apr28 answered What is $\int e^{-\frac{(y-\mathbf{x}^T\mathbf{\theta})^2}{2}}d\mathbf{\theta}$?