As I stated, I want to find the same result using elementary algebra and not matrix operations such as determinants. It may be a full page of lines so you may want to do it by hand and attach an image of the page. As good as I am in algebra, I'm doing something fundamentally wrong. I start with...
I'm reviewing Projective Geometry. This is an exercise in 2D homogeneous points and lines. It is not a homework assignment - I'm way too old for that.
Given two points p1 (X1,Y1,W1) and p2 (X2,Y2,W2) find the equation of the line that passes through them (aX+bY+cW=0). (See...
I understand the explanation in the way that it applied to ODE. The solution to the system is clear. But I was thinking of a least square problem. Whether SVD or the standard eigenvalue calculation is used, what is the significance of larger versus smaller eigenvalues?
In a system of equations with several eigenvalues, what does it mean (signify) when one is strong (high in value) and the others are weak (low in value)?
Can a general statement be made without referencing an application? If so, is there a math book that explains the idea?
I don't think this has to do with principal component analysis, but it was a thoughtful suggestion.
I think you are right yyat. D(u,v) calculates the change in intensity about a point. But its essential term is I(i+u,j+v)-I(i,j). Is this a difference equation - effectively a discrete...
This question is about the use of eigenvalues in a specific application.
The subject is Computer Vision and the topic is the Harris Corner detection method. The attached file is PDF document of slides that show the math in a bit more detail.
In the slides, a corner is located by looking at...
Thanks, that makes sense. My background is in applied math, as befits engineers. But we covered Complex Analysis, but not topology or anything in the greater sense of pure math.
Perhaps I have too far to go to be realistically capable of catching up to most Masters level physics students.
Haha. That's a rather obvious answer, considering my degree. I'm sure that there is a more concise list. There has to be some one or some book that conveys what the math means in terms of a physical reality.
But considering that there has not been another answer to this, perhaps the question...
I have a degree in electrical engineering, but of some years ago.
For my own simple enjoyment, I wanted to learn the math of physics - specifically for cosmology. Key to my interest is the interpretation of the math in the physical world. In summary, what is the track in math topics?