Question

Proving affine independence of $(k_0,\dotsc,k_0^N),\dotsc,(k_N,\dotsc,k_N^N)$ in $\mathbb{R}^N$

score 267 · Answer 1 · 2016-08-26 23:10:11

267

Views

Proving affine independence of $(k_0,\dotsc,k_0^N),\dotsc,(k_N,\dotsc,k_N^N)$ in $\mathbb{R}^N$

Published on 26 Aug 2016 - 23:10

score 524 · Answer 2 · 2016-09-04 16:51:08

524

Views

Affine transformation implies parallelogram

Published on 04 Sep 2016 - 16:51

score 120 · Answer 3 · 2016-09-07 17:37:35

120

Views

Is the notion of "affineness" more general than "linearity", or vice versa?

Published on 07 Sep 2016 - 17:37

score 177 · Answer 4 · 2016-09-09 20:15:34

177

Views

Affine equivalence of hyperplanes

Published on 09 Sep 2016 - 20:15

score 157 · Answer 5 · 2016-09-09 22:00:49

157

Views

Is the "Uniqueness Property" of Affine Spaces an Axiom?

Published on 09 Sep 2016 - 22:00

score 125 · Answer 6 · 2016-09-10 14:29:07

125

Views

Why does $\tilde{a} + \vec{v_1} = \tilde{b} = \tilde{a} + \vec{v_2}$ imply that $\vec{v_1} = \vec{v_2}$ in an affine space?

Published on 10 Sep 2016 - 14:29

score 3k · Answer 7 · 2016-09-13 17:01:35

3k

Views

Affine Plane of Order 4 Picture?

Published on 13 Sep 2016 - 17:01

score 335 · Answer 8 · 2016-09-15 10:57:36

335

Views

Is it necessary for coefficients of an affine linear combination to be positive? Is factorization allowed?

Published on 15 Sep 2016 - 10:57

score 1.6k · Answer 9 · 2016-09-18 00:28:33

1.6k

Views

How do I prove that a given set is an affine space?

Published on 18 Sep 2016 - 0:28

score 74 · Answer 10 · 2016-09-18 05:18:36

74

Views

How do I prove that the direction of a generated affine space is this?

Published on 18 Sep 2016 - 5:18

score 44 · Answer 11 · 2016-09-21 17:44:20

44

Views

Find $\mathrm d f_p$ for $f(x,y)=x^2+y^2$

Published on 21 Sep 2016 - 17:44

score 301 · Answer 12 · 2016-09-27 05:35:36

301

Views

Is circularity preserved by affine transformations?

Published on 27 Sep 2016 - 5:35

score 36 · Answer 13 · 2016-10-03 18:40:17

36

Views

Using co-planarity to determine the points inside a triangle

Published on 03 Oct 2016 - 18:40

score 397 · Answer 14 · 2016-10-04 11:18:15

397

Views

Is this set of 6 transformations fundamental to geometry?

Published on 04 Oct 2016 - 11:18

score 331 · Answer 15 · 2016-10-06 04:16:03

331

Views

Four-Leaved Rose is an Affine Variety

Published on 06 Oct 2016 - 4:16

List Question

Proving affine independence of $(k_0,\dotsc,k_0^N),\dotsc,(k_N,\dotsc,k_N^N)$ in $\mathbb{R}^N$

Affine transformation implies parallelogram

Is the notion of "affineness" more general than "linearity", or vice versa?

Affine equivalence of hyperplanes

Is the "Uniqueness Property" of Affine Spaces an Axiom?

Why does $\tilde{a} + \vec{v_1} = \tilde{b} = \tilde{a} + \vec{v_2}$ imply that $\vec{v_1} = \vec{v_2}$ in an affine space?

Affine Plane of Order 4 Picture?

Is it necessary for coefficients of an affine linear combination to be positive? Is factorization allowed?

How do I prove that a given set is an affine space?

How do I prove that the direction of a generated affine space is this?

Find $\mathrm d f_p$ for $f(x,y)=x^2+y^2$

Is circularity preserved by affine transformations?

Using co-planarity to determine the points inside a triangle

Is this set of 6 transformations fundamental to geometry?

Four-Leaved Rose is an Affine Variety

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