Question

Dot product with remarkable identities only

score 100 · Answer 1 · 2023-04-06 18:19:47

100

Views

Dot product with remarkable identities only

Published on 06 Apr 2023 - 18:19

score 80 · Answer 2 · 2026-03-28 04:01:48

80

Views

Sturm-Liouville theory and adjoint operator

Published on 28 Mar 2026 - 4:01

score 29 · Answer 3 · 2023-04-09 13:56:47

29

Views

Apostol, Ch. 1 Linear Spaces: Replace positivity axiom with $(x,x)=0 \iff x=O$. Prove $(x,x)>0$ for all $x\neq O$ or else $(x,x)<0$ for all $x\neq O$.

Published on 09 Apr 2023 - 13:56

score 16 · Answer 4 · 2023-04-10 00:54:55

16

Views

Transform basis of a space to make a given vector just a number in one dimension, zero in the rest?

Published on 10 Apr 2023 - 0:54

score 89 · Answer 5 · 2026-03-26 12:37:01

89

Views

Geometric intuition of concepts relating to an (almost) inner product

Published on 26 Mar 2026 - 12:37

score 70 · Answer 6 · 2026-03-25 06:04:40

70

Views

Arbitrariness of inner products in discrete differential geometry

Published on 25 Mar 2026 - 6:04

score 48 · Answer 7 · 2026-03-26 12:58:31

48

Views

Orthogonality of spacetime bivectors

Published on 26 Mar 2026 - 12:58

score 103 · Answer 8 · 2023-04-14 12:43:44

103

Views

transformation matrix between two sets of orthogonal basis vectors

Published on 14 Apr 2023 - 12:43

score 62 · Answer 9 · 2023-04-15 14:09:51

62

Views

Confusion regarding properties of inner product

Published on 15 Apr 2023 - 14:09

score 33 · Answer 10 · 2026-03-28 08:28:03

33

Views

Deriving components of a bra vector using orthonormal basis vectors

Published on 28 Mar 2026 - 8:28

score 130 · Answer 11 · 2023-04-16 11:40:24

130

Views

Computing orthogonal complement in an infinite dimensional vector space

Published on 16 Apr 2023 - 11:40

score 671 · Answer 12 · 2026-04-11 05:56:00

671

Views

What definition of "nearly orthogonal" would result in "In a 10,000-dimensional space there are millions of nearly orthogonal vectors"?

Published on 11 Apr 2026 - 5:56

score 33 · Answer 13 · 2026-04-11 01:37:37

33

Views

Logic behind algebraic step in proof on orthogonality.

Published on 11 Apr 2026 - 1:37

score 111 · Answer 14 · 2026-04-11 01:09:05

111

Views

Why exactly does dot product not work if the axis are not 90°

Published on 11 Apr 2026 - 1:09

score 49 · Answer 15 · 2026-03-25 09:53:28

49

Views

Geometric product of 2 r-blades

Published on 25 Mar 2026 - 9:53

List Question

Dot product with remarkable identities only

Sturm-Liouville theory and adjoint operator

Apostol, Ch. 1 Linear Spaces: Replace positivity axiom with $(x,x)=0 \iff x=O$. Prove $(x,x)>0$ for all $x\neq O$ or else $(x,x)<0$ for all $x\neq O$.

Transform basis of a space to make a given vector just a number in one dimension, zero in the rest?

Geometric intuition of concepts relating to an (almost) inner product

Arbitrariness of inner products in discrete differential geometry

Orthogonality of spacetime bivectors

transformation matrix between two sets of orthogonal basis vectors

Confusion regarding properties of inner product

Deriving components of a bra vector using orthonormal basis vectors

Computing orthogonal complement in an infinite dimensional vector space

What definition of "nearly orthogonal" would result in "In a 10,000-dimensional space there are millions of nearly orthogonal vectors"?

Logic behind algebraic step in proof on orthogonality.

Why exactly does dot product not work if the axis are not 90°

Geometric product of 2 r-blades

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