User amazonprime

8 votes

2 answers

4k views

Chain Rule and Vector valued functions?

asked May 1, 2016 at 0:33

4 votes

1 answer

294 views

Minimizers of polynomial functions?

asked Sep 8, 2016 at 4:23

4 votes

2 answers

310 views

Value of $\int_{- \infty}^0 \frac{\mathrm dx}{(49+x) \sqrt{x}}$?

asked Jul 31, 2017 at 23:45

3 votes

0 answers

2k views

Convergence in measure iff every subsequence has a convergant subsequence

asked Nov 16, 2017 at 14:54

3 votes

1 answer

84 views

Solving $ \frac {dy}{dx} = \sqrt{y} x\cos(x) $ with $y(0) = 1$

asked Jul 21, 2016 at 4:33

2 votes

2 answers

88 views

Convergence of the series: $\sum_{n=2}^\infty x^{\ln(n)}$

asked Jul 29, 2016 at 22:17

2 votes

0 answers

264 views

Proof of $\sum\limits_{k=1}^{\infty} \frac{1}{k^4} = \frac{\pi^4}{90}$ using the Fourier series of $|x|$

asked May 2, 2016 at 5:17

2 votes

2 answers

163 views

Does taking limits change "$<$" into "$\le$"

asked Jan 28, 2016 at 4:28

2 votes

2 answers

71 views

False: if $C$ is closed then closure of interior of $C$ is equal to $C$?

asked Mar 9, 2016 at 5:28

2 votes

1 answer

3k views

If a function is odd/even, then its best polynomial approximation is also odd/even. [duplicate]

asked Apr 10, 2016 at 23:27

2 votes

4 answers

2k views

Expression for a 0, -1, 0, 1 pattern?

asked Apr 19, 2016 at 22:56

2 votes

2 answers

239 views

A measure space where $p < q$ and $L^p(\mu) \not\subset L^q(\mu) $?

asked Dec 1, 2017 at 23:02

2 votes

2 answers

2k views

Show that $f(x) = x\ln(x)$ is continuous on $(0,1)$

asked Apr 17, 2017 at 5:46

2 votes

2 answers

156 views

Half derivative of $e_{\alpha} = \frac{x^{\alpha - 1}}{\Gamma(\alpha)}$

asked Dec 11, 2016 at 4:49

2 votes

1 answer

232 views

Show $x^p + px^{p-1}y \; \le \; [x + y ]^p \; \le \; x^p + p[x + y]^{p-1}y$

asked Feb 19, 2017 at 22:24

2 votes

1 answer

101 views

Continuity of $\frac{1}{x^2}$ given the metric $d(a,b)= \left| \int_a^b \frac{1}{x^2 +1} dx\right| $ on the extended real line.

asked Sep 4, 2016 at 2:54

2 votes

1 answer

971 views

Is the subset of all sequences with finite number of non-zero entries a closed subspace of $l^2$?

asked Nov 20, 2016 at 21:44

1 vote

2 answers

260 views

Compute the gradient of a vector valued function $J$ with respect to a scalar

asked Nov 25, 2016 at 17:00

1 vote

1 answer

284 views

Differentiability of vector valued function?

asked Apr 29, 2016 at 5:14

1 vote

0 answers

57 views

Prove $ \frac{d}{dt}(f *g)(t) = \int_0^tg(t-s)f^{'}(s)ds \; \; + f(0)g(t) $

asked Oct 15, 2016 at 4:02

1 vote

1 answer

132 views

Proving solutions of Linear Variational Problem

asked Feb 21, 2017 at 2:14

1 vote

2 answers

62 views

The rationals and their countability

asked Aug 10, 2017 at 4:38

1 vote

1 answer

31 views

Prove relationships in momentum problem.

asked Jul 30, 2020 at 17:31

1 vote

1 answer

96 views

Perturbation Theory and $\delta J(v) = \langle DJ(v) \; , \; \delta v \rangle$?

asked Mar 21, 2017 at 1:53

1 vote

1 answer

263 views

Integral over the Cantor set using probability measure?

asked Nov 8, 2017 at 2:30

1 vote

0 answers

31 views

Is this the correct contrapositive of the given statement?

asked Nov 15, 2017 at 19:42

1 vote

1 answer

925 views

Bound for the max value of a Lagrange polynomial

asked Apr 12, 2016 at 23:44

1 vote

1 answer

3k views

Error of Taylor Series?

asked Mar 22, 2016 at 3:43

1 vote

1 answer

129 views

Function between two metric spaces?

asked Feb 6, 2016 at 4:17

1 vote

2 answers

61 views

Functions between metric spaces (and how they relate to closures of sets)

asked Feb 7, 2016 at 5:44

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62 Questions

Chain Rule and Vector valued functions?

Minimizers of polynomial functions?

Value of $\int_{- \infty}^0 \frac{\mathrm dx}{(49+x) \sqrt{x}}$?

Convergence in measure iff every subsequence has a convergant subsequence

Solving $ \frac {dy}{dx} = \sqrt{y} x\cos(x) $ with $y(0) = 1$

Convergence of the series: $\sum_{n=2}^\infty x^{\ln(n)}$

Proof of $\sum\limits_{k=1}^{\infty} \frac{1}{k^4} = \frac{\pi^4}{90}$ using the Fourier series of $|x|$

Does taking limits change "$<$" into "$\le$"

False: if $C$ is closed then closure of interior of $C$ is equal to $C$?

If a function is odd/even, then its best polynomial approximation is also odd/even. [duplicate]

Expression for a 0, -1, 0, 1 pattern?

A measure space where $p < q$ and $L^p(\mu) \not\subset L^q(\mu) $?

Show that $f(x) = x\ln(x)$ is continuous on $(0,1)$

Half derivative of $e_{\alpha} = \frac{x^{\alpha - 1}}{\Gamma(\alpha)}$

Show $x^p + px^{p-1}y \; \le \; [x + y ]^p \; \le \; x^p + p[x + y]^{p-1}y$

Continuity of $\frac{1}{x^2}$ given the metric $d(a,b)= \left| \int_a^b \frac{1}{x^2 +1} dx\right| $ on the extended real line.

Is the subset of all sequences with finite number of non-zero entries a closed subspace of $l^2$?

Compute the gradient of a vector valued function $J$ with respect to a scalar

Differentiability of vector valued function?

Prove $ \frac{d}{dt}(f *g)(t) = \int_0^tg(t-s)f^{'}(s)ds \; \; + f(0)g(t) $

Proving solutions of Linear Variational Problem

The rationals and their countability

Prove relationships in momentum problem.

Perturbation Theory and $\delta J(v) = \langle DJ(v) \; , \; \delta v \rangle$?

Integral over the Cantor set using probability measure?

Is this the correct contrapositive of the given statement?

Bound for the max value of a Lagrange polynomial

Error of Taylor Series?

Function between two metric spaces?

Functions between metric spaces (and how they relate to closures of sets)