Question

Every $2$-colouring of the lattice points of $\mathbb R^m$ has $n$ monochromatic points whose centroid is a lattice point of the same colour

score 96 · Answer 1 · 2021-09-14 11:39:12

96

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Every $2$-colouring of the lattice points of $\mathbb R^m$ has $n$ monochromatic points whose centroid is a lattice point of the same colour

Published on 14 Sep 2021 - 11:39

score 139 · Answer 2 · 2021-10-03 23:29:22

139

Views

Thermal center of a set

Published on 03 Oct 2021 - 23:29

score 142 · Answer 3 · 2021-10-05 03:11:09

142

Views

Any interpretation for the fact that centroid = optimal point for maximising volume of such cuboid?

Published on 05 Oct 2021 - 3:11

score 33 · Answer 4 · 2021-10-31 22:43:01

33

Views

k-means clustering identity

Published on 31 Oct 2021 - 22:43

score 235 · Answer 5 · 2021-11-05 01:16:28

235

Views

How does one derive the centroid formula for multiple shapes?

Published on 05 Nov 2021 - 1:16

score 107 · Answer 6 · 2021-12-30 12:23:20

107

Views

A system of particles distributed on the surface of a ball, what is the "center of mass" of them on the surface?

Published on 30 Dec 2021 - 12:23

score 323 · Answer 7 · 2022-01-18 15:11:31

323

Views

Pappus centroid theorem and Hypercones.

Published on 18 Jan 2022 - 15:11

score 240 · Answer 8 · 2022-02-04 19:21:13

240

Views

In a triangle ABC, if certain areas are equal then P is its centroid

Published on 04 Feb 2022 - 19:21

score 346 · Answer 9 · 2022-02-23 09:47:34

346

Views

Find list of closest points around a point in 3D space.

Published on 23 Feb 2022 - 9:47

score 20 · Answer 10 · 2022-03-13 11:11:13

20

Views

Moment Question

Published on 13 Mar 2022 - 11:11

score 15 · Answer 11 · 2022-03-16 04:15:01

15

Views

Intersection of half angle with centroid

Published on 16 Mar 2022 - 4:15

score 147 · Answer 12 · 2022-04-02 04:16:07

147

Views

How to construct the centroid of a quadrilateral

Published on 02 Apr 2022 - 4:16

score 73 · Answer 13 · 2022-04-11 03:18:51

73

Views

Is this function monotonically increasing as $x_2$ increases?

Published on 11 Apr 2022 - 3:18

score 80 · Answer 14 · 2022-04-16 08:32:38

80

Views

Prove that $AP \cdot AQ+CP \cdot CQ=BP\cdot BQ$

Published on 16 Apr 2022 - 8:32

score 311 · Answer 15 · 2022-05-02 09:27:01

311

Views

How to calculate the centroid of a Polytope?

Published on 02 May 2022 - 9:27

List Question

Every $2$-colouring of the lattice points of $\mathbb R^m$ has $n$ monochromatic points whose centroid is a lattice point of the same colour

Thermal center of a set

Any interpretation for the fact that centroid = optimal point for maximising volume of such cuboid?

k-means clustering identity

How does one derive the centroid formula for multiple shapes?

A system of particles distributed on the surface of a ball, what is the "center of mass" of them on the surface?

Pappus centroid theorem and Hypercones.

In a triangle ABC, if certain areas are equal then P is its centroid

Find list of closest points around a point in 3D space.

Moment Question

Intersection of half angle with centroid

How to construct the centroid of a quadrilateral

Is this function monotonically increasing as $x_2$ increases?

Prove that $AP \cdot AQ+CP \cdot CQ=BP\cdot BQ$

How to calculate the centroid of a Polytope?

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