Question

Looking for a proof that the diameter of the smallest bounding circle is less than or equal to $\frac{2}{\sqrt{3}}$ times the diameter of the set

score 327 · Answer 1 · 2026-04-15 04:58:46

327

Views

Looking for a proof that the diameter of the smallest bounding circle is less than or equal to $\frac{2}{\sqrt{3}}$ times the diameter of the set

Published on 15 Apr 2026 - 4:58

score 546 · Answer 2 · 2026-04-15 11:52:15

546

Views

Unit ball of continuous functions is a closed set - Proof with neighborhood argument

Published on 15 Apr 2026 - 11:52

score 4.1k · Answer 3 · 2026-04-16 14:20:46

4.1k

Views

If $f^N$ is contraction function, show that $f$ has precisely one fixed point.

Published on 16 Apr 2026 - 14:20

score 109 · Answer 4 · 2026-04-16 02:04:18

109

Views

Existence of a metric space M with no continuous map from M to any other metric space

Published on 16 Apr 2026 - 2:04

score 617 · Answer 5 · 2026-04-09 10:46:29

617

Views

Differentiability of rectifiable curves

Published on 09 Apr 2026 - 10:46

score 569 · Answer 6 · 2026-04-14 08:10:07

569

Views

What does it mean by that two different metrics may define the same collection of open sets?

Published on 14 Apr 2026 - 8:10

score 773 · Answer 7 · 2026-04-13 16:26:35

773

Views

Why the continuity of a function on a metric space doesn't depend on metrics?

Published on 13 Apr 2026 - 16:26

score 97 · Answer 8 · 2026-04-15 08:44:49

97

Views

Definition of a metric-nonnegativity condition

Published on 15 Apr 2026 - 8:44

score 120 · Answer 9 · 2026-04-14 03:38:46

120

Views

If a property holds for arbitrary compact set in a metric space, does it also holds for the metric space?

Published on 14 Apr 2026 - 3:38

score 956 · Answer 10 · 2026-04-13 10:30:35

956

Views

Two distinct geodesics joining two points on a compact manifold

Published on 13 Apr 2026 - 10:30

score 721 · Answer 11 · 2026-04-13 06:34:43

721

Views

Cauchy sequences are bounded in every metric space

Published on 13 Apr 2026 - 6:34

score 148 · Answer 12 · 2026-04-14 04:50:07

148

Views

Is this theorem about "completion of metric space" correct?

Published on 14 Apr 2026 - 4:50

score 391 · Answer 13 · 2026-04-14 22:52:00

391

Views

Continuity, and continuity in topology.

Published on 14 Apr 2026 - 22:52

score 24.4k · Answer 14 · 2026-04-12 07:55:27

24.4k

Views

What is the difference between isometric and unitary operators on a Hilbert space?

Published on 12 Apr 2026 - 7:55

score 36 · Answer 15 · 2026-04-11 06:55:24

36

Views

Confused on the definitions of norm of a function.

Published on 11 Apr 2026 - 6:55

List Question

Looking for a proof that the diameter of the smallest bounding circle is less than or equal to $\frac{2}{\sqrt{3}}$ times the diameter of the set

Unit ball of continuous functions is a closed set - Proof with neighborhood argument

If $f^N$ is contraction function, show that $f$ has precisely one fixed point.

Existence of a metric space M with no continuous map from M to any other metric space

Differentiability of rectifiable curves

What does it mean by that two different metrics may define the same collection of open sets?

Why the continuity of a function on a metric space doesn't depend on metrics?

Definition of a metric-nonnegativity condition

If a property holds for arbitrary compact set in a metric space, does it also holds for the metric space?

Two distinct geodesics joining two points on a compact manifold

Cauchy sequences are bounded in every metric space

Is this theorem about "completion of metric space" correct?

Continuity, and continuity in topology.

What is the difference between isometric and unitary operators on a Hilbert space?

Confused on the definitions of norm of a function.

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