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Spin foam theory is a promising approach to quantize gravity. The goal is to define a path integral for general relativity in a non-perturbative and background-independent way. The spin foam partition function assigns transition amplitudes between spin network states, a basis of the Loop Quantum ...
MATLAB has two ways to define a class. With the first way, you can put all of the class definition in a single file with the name of the class as the filename. Then within the file, you can use the classdef keyword to define the properties and methods that belong to the class. Wi...
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I make no attempt to define what pure mathematics is, but hopefully it will be clear as you proceed. I also highlighted several books that you would really like to keep in your own library. You probably like to read those books again and again in your life. Free material excluded. Note...
Therefore, this can be rearranged to define acceleration as: a=F/m The result of this equation is that if no forces are acting on an object (F= 0), it will not accelerate. Itsspeedwill remain constant. If mass is added to the object, the acceleration will be lower. If mass is remo...
// find the closest point on the sphere to the plane vector sphere_bottom = start - (p.normal * radius);// collide the point like a regular ray if( !collide_line_plane(sphere_bottom, dir, p, fraction) ) { // no dice return false; ...
the eigenvalues equal the variances of the covariance matrix and the eigenvectors are equal to the definition of the x-axis and y-axis. In the case of arbitrary correlated data, the eigenvectors represent the direction of the largest spread of the data, whereas the eigenvalues define how large...
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