I Proving Vector Space of Circles is Not Axiomatic

mikeeey
Messages
57
Reaction score
0
Hi
How can i prove that the set if circles does not form a vector space AXIOMATICALLY .
( i am not considering a circle lives in xy-plane ( subset ) as a subspace of xy-plane
 
Physics news on Phys.org
Could you check your post and perhaps re-formulate it in correct sentences so that it becomes understandable? Thank you.
 
Hey mikeeey.

You will need to define your addition and scalar multiplication operators and then check the usual 10 axioms.
 
Thread 'Derivation of equations of stress tensor transformation'

Thread 'Derivation of equations of stress tensor transformation'

Hello ! I derived equations of stress tensor 2D transformation. Some details: I have plane ABCD in two cases (see top on the pic) and I know tensor components for case 1 only. Only plane ABCD rotate in two cases (top of the picture) but not coordinate system. Coordinate system rotates only on the bottom of picture. I want to obtain expression that connects tensor for case 1 and tensor for case 2. My attempt: Are these equations correct? Is there more easier expression for stress tensor...
View full post »

Similar threads

I Question about vector spaces and subsets
Replies
8
Views
3K
I Vector subspace and basis vectors in the context of data science
Replies
6
Views
3K
I About the existence of Hamel basis for vector spaces
Replies
22
Views
579
I About the definition of vector space of infinite dimension
Replies
18
Views
3K
I Dimension of a vector space and its subspaces
Replies
15
Views
4K
I Row space, Column space, Null space & Left null space
Replies
8
Views
3K
I Smallest subspace if a plane and a line are passing through the origin
Replies
2
Views
2K
B Understanding Bases of a Vector Space
Replies
3
Views
3K
A How to visualise complex vector spaces of dimension 2 and above
Replies
4
Views
3K
A Can three elbows generate any point in space?
Replies
7
Views
3K

Hot Threads

Recent Insights

Back
Top