Undergrad Element-wise square root of a vector notation?

Click For Summary
The notation for the element-wise square root of a vector or matrix is expressed as (\sqrt{v_k})_{k\in I} for a vector and (\sqrt{a_{ij}})_{i\in I,\,j\in J} for a matrix. This notation clearly indicates that the square root is applied to each individual element. The discussion emphasizes the importance of clarity in mathematical notation. Understanding this notation is crucial for accurately representing operations in linear algebra. Proper notation facilitates effective communication in mathematical contexts.
Joes12
Messages
8
Reaction score
0
TL;DR
What is the notation for element-wise square root of a vector or matrix?
What is the notation to show element-wise square root of a vector or matrix?
 
Physics news on Phys.org
Joes12 said:
Summary: What is the notation for element-wise square root of a vector or matrix?

What is the notation to show element-wise square root of a vector or matrix?
##(\sqrt{v_k})_{k\in I}\, , \,(\sqrt{a_{ij}})_{i\in I,\,j\in J}##
 
  • Like
Likes Joes12 and jedishrfu
Many thanks
 
I am studying the mathematical formalism behind non-commutative geometry approach to quantum gravity. I was reading about Hopf algebras and their Drinfeld twist with a specific example of the Moyal-Weyl twist defined as F=exp(-iλ/2θ^(μν)∂_μ⊗∂_ν) where λ is a constant parametar and θ antisymmetric constant tensor. {∂_μ} is the basis of the tangent vector space over the underlying spacetime Now, from my understanding the enveloping algebra which appears in the definition of the Hopf algebra...

Similar threads

  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 12 ·
Replies
12
Views
2K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 5 ·
Replies
5
Views
1K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 8 ·
Replies
8
Views
3K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K