Notation for representing vector spaces

Click For Summary
The discussion focuses on the appropriate notation for representing a vector space V with a scalar field F and operations + and x. Participants debate whether to use the notation [V, F, +, x] or to describe it in prose. There is a consensus that notation can be subjective, and many find prose sufficient for clarity. The conversation highlights the flexibility in mathematical notation and the importance of context. Ultimately, the choice of notation should enhance understanding and communication of the vector space concept.
Werg22
Messages
1,431
Reaction score
1
How should I represent a vector space V with scalar field F and operation + and x? Is the notation [V, F, +, x] used, or should I use something else?
 
Physics news on Phys.org
Notation is what you make of it. I think most people are content just saying it in prose as you did in your first sentence.
 

Thread 'Hypothesis testing: Defining H0, HA hypotheses so that ( H_A)_A' makes sense'

The standard _A " operator" maps a Null Hypothesis Ho into a decision set { Do not reject:=1 and reject :=0}. In this sense ( HA)_A , makes no sense. Since H0, HA aren't exhaustive, can we find an alternative operator, _A' , so that ( H_A)_A' makes sense? Isn't Pearson Neyman related to this? Hope I'm making sense. Edit: I was motivated by a superficial similarity of the idea with double transposition of matrices M, with ## (M^{T})^{T}=M##, and just wanted to see if it made sense to talk...
View full post »

Similar threads

Undergrad Making Sense of Notation Confusion in Statistical Digital Signal Processing
  • · Replies 6 ·
Replies
6
Views
2K
Undergrad Fourier transforms in Hilbert Space
  • · Replies 2 ·
Replies
2
Views
814
MHB Can Vector Space $(V,O_1,O_2)$ Represent 2 Graphs?
  • · Replies 2 ·
Replies
2
Views
1K
Undergrad Discrete mathematics--An easy doubt on the notations of sums
  • · Replies 7 ·
Replies
7
Views
2K
Undergrad Meaning of each member being a unit vector
  • · Replies 5 ·
Replies
5
Views
1K
Undergrad What is meant by this notation?
  • · Replies 9 ·
Replies
9
Views
2K
Undergrad May I use set theory to define the number of solutions of polynomials?
  • · Replies 13 ·
Replies
13
Views
2K
High School Preference for the notation used for the wave function?
  • · Replies 9 ·
Replies
9
Views
2K
High School Notation for a "scalar absolute field"?
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad SR: GA Multivector vs. Tensor notation, Maxwell's equations
  • · Replies 7 ·
Replies
7
Views
2K