Question

Show that $P(x,y)=0$ is an ellipse if $b^2-4ac<0$.

score 624 · Answer 1 · 2026-04-14 23:06:10

624

Views

Show that $P(x,y)=0$ is an ellipse if $b^2-4ac<0$.

Published on 14 Apr 2026 - 23:06

score 265 · Answer 2 · 2026-04-11 22:04:49

265

Views

Sum of independent random variables with different distributions

Published on 11 Apr 2026 - 22:04

score 151 · Answer 3 · 2026-04-13 22:53:27

151

Views

Show the series $\sum\limits^{\infty}_{n=1}{\frac{a_n}{n}}$ converges

Published on 13 Apr 2026 - 22:53

score 876 · Answer 4 · 2026-04-16 08:34:47

876

Views

Find the convex subdifferential $\partial d_K$ of the distance function $d_K$ associated to a convex set $K$ at in-set points $x_0 \in K$.

Published on 16 Apr 2026 - 8:34

score 117 · Answer 5 · 2026-04-10 06:14:07

117

Views

Proof verification of $x_n = \frac{2-\cos\pi n}{2+\cos \pi n}$ does not have a limit using $\varepsilon$ definition

Published on 10 Apr 2026 - 6:14

score 52 · Answer 6 · 2026-04-17 14:32:24

52

Views

Proof verification of $\lim_{x \to x_0} ( f(x) g(x) ) = km $ if $\lim_{x \to x_0}f(x) = k $ and $ \lim_{x \to x_0} g(x) = m$

Published on 17 Apr 2026 - 14:32

score 34 · Answer 7 · 2026-04-17 12:20:15

34

Views

prove $U(P_n,f)−L(P_n,f)$ = $ \frac{f(1)−f(0)}{n}$

Published on 17 Apr 2026 - 12:20

score 1.6k · Answer 8 · 2026-04-16 08:44:29

1.6k

Views

Classifying singularities of $f(z) = \frac{1}{(z-2)^2}+e^{\frac{1}{3-z}}$

Published on 16 Apr 2026 - 8:44

score 203 · Answer 9 · 2026-04-14 06:11:38

203

Views

Solution check of an exponential equation

Published on 14 Apr 2026 - 6:11

score 76 · Answer 10 · 2026-04-13 16:28:16

76

Views

Natural deduction proof - is this correct?

Published on 13 Apr 2026 - 16:28

score 45 · Answer 11 · 2026-04-16 06:28:50

45

Views

Let $f:U\subset \mathbb{R}^n\to \mathbb{R}^m$ is $C^1$. Show that $D\tilde{f}$ is independent on the choice of $\tilde{f}$ and $U_p$

Published on 16 Apr 2026 - 6:28

score 103 · Answer 12 · 2026-04-17 13:24:15

103

Views

Is $1 + \frac{1}{2} + \frac{1}{3} + \dots + \frac{1}{x} < \log_2 x$

Published on 17 Apr 2026 - 13:24

score 393 · Answer 13 · 2026-04-17 04:26:50

393

Views

Counting the subgroups of order $6$ in a group of order $42$ which has a subgroup of order $6$

Published on 17 Apr 2026 - 4:26

score 51 · Answer 14 · 2026-04-13 14:32:46

51

Views

Equivalence of two methods to obtain $\sin \theta \geq 1$ with a complex $\theta$

Published on 13 Apr 2026 - 14:32

score 52 · Answer 15 · 2026-04-11 05:05:23

52

Views

Proof verification of $x_n = \frac{n^2 - 2n}{n+1}$ diverges using $\varepsilon$ definition.

Published on 11 Apr 2026 - 5:05

List Question

Show that $P(x,y)=0$ is an ellipse if $b^2-4ac<0$.

Sum of independent random variables with different distributions

Show the series $\sum\limits^{\infty}_{n=1}{\frac{a_n}{n}}$ converges

Find the convex subdifferential $\partial d_K$ of the distance function $d_K$ associated to a convex set $K$ at in-set points $x_0 \in K$.

Proof verification of $x_n = \frac{2-\cos\pi n}{2+\cos \pi n}$ does not have a limit using $\varepsilon$ definition

Proof verification of $\lim_{x \to x_0} ( f(x) g(x) ) = km $ if $\lim_{x \to x_0}f(x) = k $ and $ \lim_{x \to x_0} g(x) = m$

prove $U(P_n,f)−L(P_n,f)$ = $ \frac{f(1)−f(0)}{n}$

Classifying singularities of $f(z) = \frac{1}{(z-2)^2}+e^{\frac{1}{3-z}}$

Solution check of an exponential equation

Natural deduction proof - is this correct?

Let $f:U\subset \mathbb{R}^n\to \mathbb{R}^m$ is $C^1$. Show that $D\tilde{f}$ is independent on the choice of $\tilde{f}$ and $U_p$

Is $1 + \frac{1}{2} + \frac{1}{3} + \dots + \frac{1}{x} < \log_2 x$

Counting the subgroups of order $6$ in a group of order $42$ which has a subgroup of order $6$

Equivalence of two methods to obtain $\sin \theta \geq 1$ with a complex $\theta$

Proof verification of $x_n = \frac{n^2 - 2n}{n+1}$ diverges using $\varepsilon$ definition.

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