MHB Isomorphism Between Vector Spaces: A Real Life Analogy

matqkks
Messages
280
Reaction score
5
What is the best way of describing isomorphism between two vector spaces? Is there a real life analogy of isomorphism?
 
Physics news on Phys.org
Large printed driving instructions painted on the street. From the top, they are unnaturally tall. From a drver's point of view, the look normal.

Company A and Company B from the 1064th Marine Batallion.

Many!
 
Thread 'How to define a vector field?'

Thread 'How to define a vector field?'

Hello! In one book I saw that function ##V## of 3 variables ##V_x, V_y, V_z## (vector field in 3D) can be decomposed in a Taylor series without higher-order terms (partial derivative of second power and higher) at point ##(0,0,0)## such way: I think so: higher-order terms can be neglected because partial derivative of second power and higher are equal to 0. Is this true? And how to define vector field correctly for this case? (In the book I found nothing and my attempt was wrong...
View full post »

Similar threads

I ##\mathbb{C}\oplus\mathbb{C}\cong\mathbb{C}\otimes\mathbb{C}##
  • · Replies 14 ·
Replies
14
Views
4K
What is the best way of describing isomorphism between two vector
  • · Replies 3 ·
Replies
3
Views
2K
I Terminologies used to describe tensor product of vector spaces
  • · Replies 7 ·
Replies
7
Views
3K
I Understanding the concepts of isometric basis and musical isomorphism
  • · Replies 3 ·
Replies
3
Views
2K
A How to visualise complex vector spaces of dimension 2 and above
  • · Replies 4 ·
Replies
4
Views
3K
I Analogy question for algebraists
  • · Replies 1 ·
Replies
1
Views
2K
I Is Every Isomorphism in Vector Spaces Reflexive?
  • · Replies 15 ·
Replies
15
Views
2K
B Build an affine/vector space for physics
  • · Replies 13 ·
Replies
13
Views
2K
MHB Is $\Phi|_{U_2}$ a Vector Space Isomorphism?
  • · Replies 1 ·
Replies
1
Views
2K
Can a Projection Be an Isomorphism If It Maps to a Proper Subset?
  • · Replies 5 ·
Replies
5
Views
3K