Question

Do the free indices referring to the same dimension have to be denoted by the same letter on both sides of an expression when using Einstein notation?

score 148 · Answer 1 · 2026-04-19 16:23:01

148

Views

Do the free indices referring to the same dimension have to be denoted by the same letter on both sides of an expression when using Einstein notation?

Published on 19 Apr 2026 - 16:23

score 30 · Answer 2 · 2026-04-15 15:48:50

30

Views

Why will $(\vec u_1)^H H^H_{AB} H_{AB}\vec u_1=(\vec u_2)^HH^H_{AB}H_{AB}\vec u_2 $,when both $\vec u_1$ and $\vec u_2$ are unit vector

Published on 15 Apr 2026 - 15:48

score 38 · Answer 3 · 2026-03-26 12:07:07

38

Views

How can I prove that a curve with constant angular momentum is plane curve?

Published on 26 Mar 2026 - 12:07

score 183 · Answer 4 · 2026-04-12 10:49:55

183

Views

Finding this math YouTube channel

Published on 12 Apr 2026 - 10:49

score 165 · Answer 5 · 2026-04-16 15:12:36

165

Views

Is the vector field $F=(x+y)\hat i+(1+y^2)\hat j$ perpendicular to the field $G = -(1+y^2)\hat i+(x +y)\hat j$ at every point?

Published on 16 Apr 2026 - 15:12

score 92 · Answer 6 · 2026-04-14 15:35:27

92

Views

Forcibly manipulating eigenvalues

Published on 14 Apr 2026 - 15:35

score 516 · Answer 7 · 2026-04-16 04:48:47

516

Views

Visualizing the flow of a constant vector field: shouldn't all the flow lines (integral curves) be in the same direction as the vector field?

Published on 16 Apr 2026 - 4:48

score 120 · Answer 8 · 2026-04-14 22:59:28

120

Views

Definition of a matrix by matching two vectors

Published on 14 Apr 2026 - 22:59

score 33 · Answer 9 · 2026-04-14 04:48:31

33

Views

Vector functions basic question

Published on 14 Apr 2026 - 4:48

score 336 · Answer 10 · 2026-04-10 23:42:31

336

Views

Vectors in trapezoid

Published on 10 Apr 2026 - 23:42

score 47 · Answer 11 · 2026-03-16 23:33:11

47

Views

Let $P_X$ and $P_Y$ are the projection matrices

Published on 16 Mar 2026 - 23:33

score 336 · Answer 12 · 2026-04-13 15:56:06

336

Views

Intersection of four planes

Published on 13 Apr 2026 - 15:56

score 1.1k · Answer 13 · 2026-04-16 10:42:13

1.1k

Views

Proof of $\nabla\times (\nabla\times \mathbf f)=\nabla(\nabla\cdot \mathbf f)-\nabla^2\mathbf f$

Published on 16 Apr 2026 - 10:42

score 224 · Answer 14 · 2026-04-11 23:45:17

224

Views

How should I memorise vector calculus identities?

Published on 11 Apr 2026 - 23:45

score 91 · Answer 15 · 2026-04-15 01:23:12

91

Views

Calculate perpendicular vector that sits on plane

Published on 15 Apr 2026 - 1:23

List Question

Do the free indices referring to the same dimension have to be denoted by the same letter on both sides of an expression when using Einstein notation?

Why will $(\vec u_1)^H H^H_{AB} H_{AB}\vec u_1=(\vec u_2)^HH^H_{AB}H_{AB}\vec u_2 $,when both $\vec u_1$ and $\vec u_2$ are unit vector

How can I prove that a curve with constant angular momentum is plane curve?

Finding this math YouTube channel

Is the vector field $F=(x+y)\hat i+(1+y^2)\hat j$ perpendicular to the field $G = -(1+y^2)\hat i+(x +y)\hat j$ at every point?

Forcibly manipulating eigenvalues

Visualizing the flow of a constant vector field: shouldn't all the flow lines (integral curves) be in the same direction as the vector field?

Definition of a matrix by matching two vectors

Vector functions basic question

Vectors in trapezoid

Let $P_X$ and $P_Y$ are the projection matrices

Intersection of four planes

Proof of $\nabla\times (\nabla\times \mathbf f)=\nabla(\nabla\cdot \mathbf f)-\nabla^2\mathbf f$

How should I memorise vector calculus identities?

Calculate perpendicular vector that sits on plane

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