Question

$p(x)$ be a polynomial and $f(x)= \frac{1}{p(x)}$. Show that $f(x)$ is uniformly continuous.

score 76 · Answer 1 · 2026-04-15 07:29:03

76

Views

$p(x)$ be a polynomial and $f(x)= \frac{1}{p(x)}$. Show that $f(x)$ is uniformly continuous.

Published on 15 Apr 2026 - 7:29

score 180 · Answer 2 · 2026-04-11 01:29:24

180

Views

Bilinear form on Hilbert Space is Lower Semicontinuous

Published on 11 Apr 2026 - 1:29

score 257 · Answer 3 · 2026-04-14 01:00:05

257

Views

Show that there exists a set $U$ which is both open and closed and $x \in U \subseteq V$.

Published on 14 Apr 2026 - 1:00

score 127 · Answer 4 · 2026-04-13 20:13:21

127

Views

Velleman - Conditional truth table justification

Published on 13 Apr 2026 - 20:13

score 36 · Answer 5 · 2026-05-10 23:38:28

36

Views

Frechét Derivative of F: $g \mapsto \int_0^n g(x)p(x)dx$

Published on 10 May 2026 - 23:38

score 2k · Answer 6 · 2026-04-21 16:04:37

2k

Views

A series such that $\sum {a_n}$ converges, but $\sum {a_{3n}}$ diverges.

Published on 21 Apr 2026 - 16:04

score 70 · Answer 7 · 2026-04-17 11:52:33

70

Views

Proof that $\lfloor \log(n) \rfloor = \lfloor \log((n−1)/2) \rfloor + 1$

Published on 17 Apr 2026 - 11:52

score 1.4k · Answer 8 · 2026-04-15 10:49:21

1.4k

Views

Show if all continuous functions $f$ from $X \to \{0,1\}$ with the discrete topology are constant, then $X$ is connected.

Published on 15 Apr 2026 - 10:49

score 52 · Answer 9 · 2026-04-12 01:20:18

52

Views

Misconception about proof by cases

Published on 12 Apr 2026 - 1:20

score 29 · Answer 10 · 2026-04-14 19:12:37

Show that if $A$ is an $n$ by$ $n symmetric matrix and $\lambda \neq \mu$ are eigenvalues of $A$, then $ E_\mu \subset (E_\lambda )^\perp $.

score 878 · Answer 11 · 2026-04-10 12:57:45

878

Views

Book questions on supremum, bounds.

Published on 10 Apr 2026 - 12:57

score 271 · Answer 12 · 2026-04-13 22:08:45

271

Views

If $G$ be an open set, then show that $H=\{xy: x, y \in G \}$ is open in $\mathbb{R}$

Published on 13 Apr 2026 - 22:08

score 185 · Answer 13 · 2026-04-15 21:20:43

185

Views

Computing $\mathcal{F}^{-1}\left(\frac{1}{(1+ik)(2+ik)}\right)$ via Convolution Theorem - Heaviside Step Function

Published on 15 Apr 2026 - 21:20

score 858 · Answer 14 · 2026-04-16 01:17:47

858

Views

The paraboloid $z = x^2 + y^2$ has no conjugate points at $p = (0,0,0)$

Published on 16 Apr 2026 - 1:17

score 179 · Answer 15 · 2026-04-12 10:46:00

179

Views

Finding constants in Wronskian of standard solutions of confluent hypergeometric function

Published on 12 Apr 2026 - 10:46

List Question

$p(x)$ be a polynomial and $f(x)= \frac{1}{p(x)}$. Show that $f(x)$ is uniformly continuous.

Bilinear form on Hilbert Space is Lower Semicontinuous

Show that there exists a set $U$ which is both open and closed and $x \in U \subseteq V$.

Velleman - Conditional truth table justification

Frechét Derivative of F: $g \mapsto \int_0^n g(x)p(x)dx$

A series such that $\sum {a_n}$ converges, but $\sum {a_{3n}}$ diverges.

Proof that $\lfloor \log(n) \rfloor = \lfloor \log((n−1)/2) \rfloor + 1$

Show if all continuous functions $f$ from $X \to \{0,1\}$ with the discrete topology are constant, then $X$ is connected.

Misconception about proof by cases

Show that if $A$ is an $n$ by$ $n symmetric matrix and $\lambda \neq \mu$ are eigenvalues of $A$, then $ E_\mu \subset (E_\lambda )^\perp $.

Book questions on supremum, bounds.

If $G$ be an open set, then show that $H=\{xy: x, y \in G \}$ is open in $\mathbb{R}$

Computing $\mathcal{F}^{-1}\left(\frac{1}{(1+ik)(2+ik)}\right)$ via Convolution Theorem - Heaviside Step Function

The paraboloid $z = x^2 + y^2$ has no conjugate points at $p = (0,0,0)$

Finding constants in Wronskian of standard solutions of confluent hypergeometric function

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