What Does the Equation || (x,y,z)T ||2 Represent in 3D Graphics?

  • Thread starter Thread starter otis
  • Start date Start date
  • Tags Tags
    Operator
otis
Messages
3
Reaction score
0
I am going through some papers on computer graphics because I'm implementing a 3D engine and have come across and equation I don't recognize. I've looked in every linear algebra book on vectors and matrices I have but had no luck whatsoever.

equation goes like that, sorry for bad formatting:

|| (x,y,z)T ||2

I thought this was absolute value of vector(length), but since it doesn't do what it's supposed to visually, I have my doubts. Does anyone recognize it and how do I calculate it?
 
Physics news on Phys.org
That is the ordinary length of a vector: square root of the sum of squares of components. I don't know what it is "supposed to do" so I don't know whay you have doubts.
 

Thread 'Trouble understanding an online solution to an exercise in Dummit & Foote'

##\textbf{Exercise 10}:## I came across the following solution online: Questions: 1. When the author states in "that ring (not sure if he is referring to ##R## or ##R/\mathfrak{p}##, but I am guessing the later) ##x_n x_{n+1}=0## for all odd $n$ and ##x_{n+1}## is invertible, so that ##x_n=0##" 2. How does ##x_nx_{n+1}=0## implies that ##x_{n+1}## is invertible and ##x_n=0##. I mean if the quotient ring ##R/\mathfrak{p}## is an integral domain, and ##x_{n+1}## is invertible then...
View full post »

Thread 'Questions about non existence of GCDs vs (coimages, cokernels)'

The following are taken from the two sources, 1) from this online page and the book An Introduction to Module Theory by: Ibrahim Assem, Flavio U. Coelho. In the Abelian Categories chapter in the module theory text on page 157, right after presenting IV.2.21 Definition, the authors states "Image and coimage may or may not exist, but if they do, then they are unique up to isomorphism (because so are kernels and cokernels). Also in the reference url page above, the authors present two...
View full post »

Thread 'Decomposition into irreps of compact Lie group'

When decomposing a representation ##\rho## of a finite group ##G## into irreducible representations, we can find the number of times the representation contains a particular irrep ##\rho_0## through the character inner product $$ \langle \chi, \chi_0\rangle = \frac{1}{|G|} \sum_{g\in G} \chi(g) \chi_0(g)^*$$ where ##\chi## and ##\chi_0## are the characters of ##\rho## and ##\rho_0##, respectively. Since all group elements in the same conjugacy class have the same characters, this may be...
View full post »

Similar threads

I Did I figure-out z-translation of 2D-coordinates correctly?
Replies
4
Views
2K
B Parametric Representation of Lines
Replies
13
Views
3K
Simple question about parametric equations of a plane in 3D
Replies
5
Views
2K
Is (y + z)x1 = (y1 + z1)x the equation of a straight line in 3D space?
Replies
17
Views
2K
What does a row matrix represent geometrically?
Replies
8
Views
1K
I Rotation of a point in R3 about the y-axis
Replies
6
Views
3K
MHB Basis for set of solutions for linear equation
Replies
6
Views
2K
Verifying that a matrix T represents a projection operation
Replies
3
Views
5K
Proof given ##x < y < z## and a twice differentiable function
Replies
8
Views
1K
Obtain a nonzero solution of ##y''-4y'+x^2(y'-4y)=0## by inspection
Replies
7
Views
1K

Hot Threads

Recent Insights

Back
Top