Question

Find the values of $a, b$ such that the piecewise function is differentiable

score 111 · Answer 1 · 2026-04-15 17:14:53

111

Views

Find the values of $a, b$ such that the piecewise function is differentiable

Published on 15 Apr 2026 - 17:14

score 156 · Answer 2 · 2026-04-12 20:59:50

156

Views

Translation invariance when taking expectation with respect to uniform measure.

Published on 12 Apr 2026 - 20:59

score 1.4k · Answer 3 · 2026-04-16 22:06:19

1.4k

Views

Understanding units mod $n$ are relatively prime to $n$

Published on 16 Apr 2026 - 22:06

score 90 · Answer 4 · 2026-04-16 11:00:06

90

Views

Prove that $v_{1} + W = v_{2} + W$ if and only if $v_{1} - v_{2}\in W$.

Published on 16 Apr 2026 - 11:00

score 99 · Answer 5 · 2026-04-16 11:51:34

99

Views

Suppose $b$ is the smallest element of $B$. Then $b$ is also a minimal element of $B$, and it is the only minimal element.

Published on 16 Apr 2026 - 11:51

score 132 · Answer 6 · 2026-04-14 04:07:27

132

Views

Show that a subset $W$ of a vector space $V$ is a subspace of $V$ iff $\text{span}(W) = W$.

Published on 14 Apr 2026 - 4:07

score 213 · Answer 7 · 2026-04-14 13:04:57

213

Views

Proof that units mod $n$ are closed

Published on 14 Apr 2026 - 13:04

score 119 · Answer 8 · 2026-04-14 14:29:40

119

Views

Proof involving functions, ordered pairs and the graphs of functions

Published on 14 Apr 2026 - 14:29

score 963 · Answer 9 · 2026-03-28 02:05:19

963

Views

Prove that if $\mathcal{B}_{1}\cup\mathcal{B}_{2}$ is a basis for $V$, then $V = W_{1}\oplus W_{2}$.

Published on 28 Mar 2026 - 2:05

score 82 · Answer 10 · 2026-04-12 21:20:07

82

Views

Understanding limit points for topological space $X$

Published on 12 Apr 2026 - 21:20

score 106 · Answer 11 · 2026-04-11 06:18:14

106

Views

Doubts about a proof of the existence of a lower bound on $\varphi(n)$

Published on 11 Apr 2026 - 6:18

score 48 · Answer 12 · 2026-04-11 13:02:58

48

Views

Functions and continuity: constant functions

Published on 11 Apr 2026 - 13:02

score 655 · Answer 13 · 2026-04-13 23:11:36

655

Views

Proof of ∀(x,y)∈R[|x-y| ≥ |x| - |y|]

Published on 13 Apr 2026 - 23:11

score 948 · Answer 14 · 2026-04-12 22:18:00

948

Views

If $T:V\to W$ is linear, prove that $T(V_{1})$ is a subspace of $W$ and that $\{x\in V: T(x)\in W_{1}\}$ is a subspace of $V$.

Published on 12 Apr 2026 - 22:18

score 363 · Answer 15 · 2026-04-15 05:53:20

363

Views

A nonempty set is countable iff it is the image of a function whose domain is a nonempty countable set

Published on 15 Apr 2026 - 5:53

List Question

Find the values of $a, b$ such that the piecewise function is differentiable

Translation invariance when taking expectation with respect to uniform measure.

Understanding units mod $n$ are relatively prime to $n$

Prove that $v_{1} + W = v_{2} + W$ if and only if $v_{1} - v_{2}\in W$.

Suppose $b$ is the smallest element of $B$. Then $b$ is also a minimal element of $B$, and it is the only minimal element.

Show that a subset $W$ of a vector space $V$ is a subspace of $V$ iff $\text{span}(W) = W$.

Proof that units mod $n$ are closed

Proof involving functions, ordered pairs and the graphs of functions

Prove that if $\mathcal{B}_{1}\cup\mathcal{B}_{2}$ is a basis for $V$, then $V = W_{1}\oplus W_{2}$.

Understanding limit points for topological space $X$

Doubts about a proof of the existence of a lower bound on $\varphi(n)$

Functions and continuity: constant functions

Proof of ∀(x,y)∈R[|x-y| ≥ |x| - |y|]

If $T:V\to W$ is linear, prove that $T(V_{1})$ is a subspace of $W$ and that $\{x\in V: T(x)\in W_{1}\}$ is a subspace of $V$.

A nonempty set is countable iff it is the image of a function whose domain is a nonempty countable set

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