Question

Any continuous function with the mean value property is affine

score 920 · Answer 1 · 2015-09-20 22:50:16

920

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Any continuous function with the mean value property is affine

Published on 20 Sep 2015 - 22:50

score 292 · Answer 2 · 2015-09-23 00:41:16

292

Views

Why is this function an affine function?

Published on 23 Sep 2015 - 0:41

score 2.4k · Answer 3 · 2015-09-27 10:10:31

2.4k

Views

Show that halfspace is not affine.

Published on 27 Sep 2015 - 10:10

score 111 · Answer 4 · 2015-09-29 20:56:32

111

Views

Example of affine varieties with a restriction on the dimension of an irreducible component of their intersection

Published on 29 Sep 2015 - 20:56

score 724 · Answer 5 · 2026-03-27 06:52:09

724

Views

Every irreducible component of an affine cone contains its vertex

Published on 27 Mar 2026 - 6:52

score 39 · Answer 6 · 2015-09-30 11:20:52

39

Views

Let $B=A+t\vec{AC}$ with $t\ne1$, show that $A=B+s\vec{BC}$ for $s=t/(t-1)$

Published on 30 Sep 2015 - 11:20

score 221 · Answer 7 · 2015-10-07 17:23:53

221

Views

Affine geometry textbook

Published on 07 Oct 2015 - 17:23

score 174 · Answer 8 · 2015-10-10 10:20:55

174

Views

Affine hull of two points in R4

Published on 10 Oct 2015 - 10:20

score 1.8k · Answer 9 · 2026-03-24 02:10:05

1.8k

Views

An irreducible quadric hypersurface is rational?

Published on 24 Mar 2026 - 2:10

score 118 · Answer 10 · 2015-10-17 16:47:28

118

Views

Could we talk about affine spaces before vector spaces?

Published on 17 Oct 2015 - 16:47

score 214 · Answer 11 · 2026-03-27 08:43:15

214

Views

Affine-regular hexagon in convex body

Published on 27 Mar 2026 - 8:43

score 762 · Answer 12 · 2015-10-24 00:54:30

762

Views

Three points of an affine space are collinear $\iff \det(A)=0$, with $A$ the matrix of the barycentric coordinates.

Published on 24 Oct 2015 - 0:54

score 2k · Answer 13 · 2015-10-25 12:29:24

2k

Views

Three lines are concurrent (or parallel) $\iff$ the determinant of its coordinates vanishes.

Published on 25 Oct 2015 - 12:29

score 968 · Answer 14 · 2015-10-26 17:55:37

968

Views

Can all affine transformations be just expressed as a combination of the common transformations we are taught?

Published on 26 Oct 2015 - 17:55

score 151 · Answer 15 · 2015-10-26 22:40:06

151

Views

The hexagon in Pappus' theorem and its relation to the more usual form

Published on 26 Oct 2015 - 22:40

List Question

Any continuous function with the mean value property is affine

Why is this function an affine function?

Show that halfspace is not affine.

Example of affine varieties with a restriction on the dimension of an irreducible component of their intersection

Every irreducible component of an affine cone contains its vertex

Let $B=A+t\vec{AC}$ with $t\ne1$, show that $A=B+s\vec{BC}$ for $s=t/(t-1)$

Affine geometry textbook

Affine hull of two points in R4

An irreducible quadric hypersurface is rational?

Could we talk about affine spaces before vector spaces?

Affine-regular hexagon in convex body

Three points of an affine space are collinear $\iff \det(A)=0$, with $A$ the matrix of the barycentric coordinates.

Three lines are concurrent (or parallel) $\iff$ the determinant of its coordinates vanishes.

Can all affine transformations be just expressed as a combination of the common transformations we are taught?

The hexagon in Pappus' theorem and its relation to the more usual form

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