Question

Does the set $B$ contain a greatest element? (First year university Math)

score 87 · Answer 1 · 2017-05-03 18:29:35

87

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Does the set $B$ contain a greatest element? (First year university Math)

Published on 03 May 2017 - 18:29

score 121 · Answer 2 · 2026-03-25 12:52:28

121

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Calculate the Hopf-Lax function explicitly

Published on 25 Mar 2026 - 12:52

score 71 · Answer 3 · 2017-05-04 20:25:57

71

Views

How $\|f\|=\sup\left\{\frac{\vert f(x)\vert}{\|x\|}:x \ne 0,x\in X \right\}$ and $\|f\|=\sup\{\vert f(x)\vert:\|x\|=1 ,x\in X \}$ are equivalent?

Published on 04 May 2017 - 20:25

score 49 · Answer 4 · 2017-05-04 21:26:07

49

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How $S_1$ & $S_2$ are equivalent?

Published on 04 May 2017 - 21:26

score 123 · Answer 5 · 2017-05-05 14:40:54

123

Views

Find an infimum of the function on a set

Published on 05 May 2017 - 14:40

score 415 · Answer 6 · 2026-03-25 12:55:42

415

Views

Calculating the Hopf-Lax formula

Published on 25 Mar 2026 - 12:55

score 4.1k · Answer 7 · 2017-05-06 01:11:14

4.1k

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Sets that don't have infima (infinum and supremum)

Published on 06 May 2017 - 1:11

score 195 · Answer 8 · 2017-05-06 12:54:12

195

Views

Find $\sup\{\sin(\theta) | \theta \in [0,\pi]\}$

Published on 06 May 2017 - 12:54

score 60 · Answer 9 · 2017-05-06 20:41:44

60

Views

Evaluating the supremum of $M_{n}$ for the Weierstrass M-test

Published on 06 May 2017 - 20:41

score 900 · Answer 10 · 2017-05-07 02:30:46

900

Views

$\sup{A} = \inf{B} \iff \forall \epsilon > 0, \, \exists a \in A, \, b \in B \, : \, b - a < \epsilon$

Published on 07 May 2017 - 2:30

score 678 · Answer 11 · 2026-04-03 16:26:56

678

Views

How does the infimum/supremum of a sum make sense?

Published on 03 Apr 2026 - 16:26

score 136 · Answer 12 · 2017-05-07 14:42:21

136

Views

For a piecewise function $g_n(t)$, find $g(t)=\lim\limits_{n\rightarrow \infty}g_n(t)$.

Published on 07 May 2017 - 14:42

score 766 · Answer 13 · 2017-05-07 20:51:54

766

Views

show $\sup(\sin(x))=1$ and $\inf(\sin(x))=0$

Published on 07 May 2017 - 20:51

score 1.9k · Answer 14 · 2017-05-07 21:02:25

1.9k

Views

Prove that $\sup(A)<\sup(B)$ implies there is an upper bound of $A$ in $B$

Published on 07 May 2017 - 21:02

score 272 · Answer 15 · 2017-05-09 21:53:50

272

Views

Proving inf and sup of a set

Published on 09 May 2017 - 21:53

List Question

Does the set $B$ contain a greatest element? (First year university Math)

Calculate the Hopf-Lax function explicitly

How $\|f\|=\sup\left\{\frac{\vert f(x)\vert}{\|x\|}:x \ne 0,x\in X \right\}$ and $\|f\|=\sup\{\vert f(x)\vert:\|x\|=1 ,x\in X \}$ are equivalent?

How $S_1$ & $S_2$ are equivalent?

Find an infimum of the function on a set

Calculating the Hopf-Lax formula

Sets that don't have infima (infinum and supremum)

Find $\sup\{\sin(\theta) | \theta \in [0,\pi]\}$

Evaluating the supremum of $M_{n}$ for the Weierstrass M-test

$\sup{A} = \inf{B} \iff \forall \epsilon > 0, \, \exists a \in A, \, b \in B \, : \, b - a < \epsilon$

How does the infimum/supremum of a sum make sense?

For a piecewise function $g_n(t)$, find $g(t)=\lim\limits_{n\rightarrow \infty}g_n(t)$.

show $\sup(\sin(x))=1$ and $\inf(\sin(x))=0$

Prove that $\sup(A)<\sup(B)$ implies there is an upper bound of $A$ in $B$

Proving inf and sup of a set

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