Question

Supremum and infimum of a bounded real valued function

score 543 · Answer 1 · 2020-02-27 05:05:51

543

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Supremum and infimum of a bounded real valued function

Published on 27 Feb 2020 - 5:05

score 1.9k · Answer 2 · 2020-02-27 15:43:10

1.9k

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<Precise Proof> Every non-empty subset of $\mathbb R$ which is bounded above(below) has a least upper bound(greatest lower bound)

Published on 27 Feb 2020 - 15:43

score 36 · Answer 3 · 2020-02-28 13:04:08

36

Views

Cardinality of the star-product and cardinality of union

Published on 28 Feb 2020 - 13:04

score 68 · Answer 4 · 2020-02-29 12:54:34

68

Views

Is the supremum of a null sequence always a maximum?

Published on 29 Feb 2020 - 12:54

score 99 · Answer 5 · 2020-03-01 17:16:21

99

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Why does every non-empty subset of this poset have a supremum?

Published on 01 Mar 2020 - 17:16

score 117 · Answer 6 · 2020-03-01 20:13:14

117

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Norm in terms of an infimum obtained from a subset of a normed vector space

Published on 01 Mar 2020 - 20:13

score 52 · Answer 7 · 2020-03-01 22:38:04

52

Views

Minkowski functional: proving $N(av)=|a|N(v)$

Published on 01 Mar 2020 - 22:38

score 505 · Answer 8 · 2020-03-01 22:41:56

505

Views

Supremum and infimum of closed sets in the order topology

Published on 01 Mar 2020 - 22:41

score 886 · Answer 9 · 2020-03-02 00:47:16

886

Views

Show that $A + B$ is bounded below and that $\inf(A + B) = \inf(A) + \inf(B)$

Published on 02 Mar 2020 - 0:47

score 47 · Answer 10 · 2020-03-02 12:59:50

47

Views

Dispense connectedness and still show that a closed and bounded from above subset has a maximal element.

Published on 02 Mar 2020 - 12:59

score 59 · Answer 11 · 2020-03-02 15:39:54

59

Views

Find supremum of the set

Published on 02 Mar 2020 - 15:39

score 59 · Answer 12 · 2026-03-28 05:58:55

59

Views

How to calulate and transform with nested $\inf$ and $\sup$ cleverly?

Published on 28 Mar 2026 - 5:58

score 98 · Answer 13 · 2020-03-06 20:09:56

98

Views

Prove the infimum is the global positive minimum of f

Published on 06 Mar 2020 - 20:09

score 56 · Answer 14 · 2020-03-08 08:55:58

56

Views

Supremum over an inner product space $V$: $\sup\limits_{v\in V}(\langle v',v\rangle-\frac 12 \langle v,v\rangle)=\frac 12\langle v',v'\rangle$

Published on 08 Mar 2020 - 8:55

score 218 · Answer 15 · 2020-03-08 13:32:33

218

Views

Infimum of a continuous function on an open set

Published on 08 Mar 2020 - 13:32

List Question

Supremum and infimum of a bounded real valued function

<Precise Proof> Every non-empty subset of $\mathbb R$ which is bounded above(below) has a least upper bound(greatest lower bound)

Cardinality of the star-product and cardinality of union

Is the supremum of a null sequence always a maximum?

Why does every non-empty subset of this poset have a supremum?

Norm in terms of an infimum obtained from a subset of a normed vector space

Minkowski functional: proving $N(av)=|a|N(v)$

Supremum and infimum of closed sets in the order topology

Show that $A + B$ is bounded below and that $\inf(A + B) = \inf(A) + \inf(B)$

Dispense connectedness and still show that a closed and bounded from above subset has a maximal element.

Find supremum of the set

How to calulate and transform with nested $\inf$ and $\sup$ cleverly?

Prove the infimum is the global positive minimum of f

Supremum over an inner product space $V$: $\sup\limits_{v\in V}(\langle v',v\rangle-\frac 12 \langle v,v\rangle)=\frac 12\langle v',v'\rangle$

Infimum of a continuous function on an open set

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