Recent content by kouma

You are right about the typo, my bad. Thanks. To clarify my question with an example, assume i have n and p0 given as n= (1,1) and p0=(2, 3). Now, say I have the following set of p {(1,3), (2,4), (1,5), (0,1), (2,3), (3,1)}. I would like to know where does each of the elements in the p set...

Hello, Can someone tell me if what I am doing is correct. I am trying to solve this equation of 0 = n ( p - p0 ) where n, p, and p0 are points on the plane. Assume this is a 2D dimension (x,y). Is this the correct way of calculating this equation. 0 = nx (px - p0x) + ny (py + p0y)...

Thanks again Petr for the great and simple explanation. Now, I did some searching around and I read in some lecture that the implicit equation of a plane doesn't generalize to higher dimensions (higher than 3D), is this true? because my euclidean space will almost always be higher than 3D. If...

Hello Petr, Assume we have a R^3 euclidean space with the following points a = (1, 2, 3), b = (3, 4, 5), and c = (3, 5, 6). if I pick Xo = (2, 2, 2), how do I derive the vector u so that I can use the implicit hyperplane equation you mentioned. Thanks!

This is a great explanation, exactly what I wanted. I am going to deploy it and see how it works. Is there a name to this equation that you posted? Thank you so much for the help.

Exactly, do you know the equation/formula to derive a hyperplane from an R^n euclidean space?

Completely random :)

That is what I was thinking also, I could simply take lowest and highest points from my data for each dimension, and randomly pick a point in-between that range, effectively splitting the search space into two half-spaces. But, I was wondering since I am asked to use a hyperplane to do this...

Hello Math friends, I need some help in hyperplanes. Basically, I need to calculate a random hyperplane that divides my search space, which consists of data points in R^n, into two hyperspaces. I know that a hyperplane is n-1 dimensionality, but how do I calculate it. Thanks in advance!