Latest Challenges to the Teaching of Evolution

..Life at any cost, Spendi...ANY cost....that way they dont have to find out if God really does exist. They take an instinct and make it a joke.

Within the theory of evolution, there reside several "Laws"...

I asked you what they were and you come up with some labels as if they are laws. Labels define nothing.

You are addressing a fraudster - at your peril, as you saw. Here are my grounds for this characterization: the "gentleman" in question has claimed on this thread (I don't follow the other evolution thread or any of the discussions on theology) that he has an advanced degree in the sciences (either material sciences or chemistry) from a British university. Now even an undergraduate scientific degree at any accredited UK university would certainly require that he understand the precise meaning of the quoted paragraph - no matter whether the degree had been granted in mathematics, engineering, chemistry, or any related field. Parenthesis here to say context of quote was linked on previous pages, so there's no excuse other than shameless fraud.

LAWS HAVE NAMES idiot. I gave you the names.

he wouldn't know an eigenvalue if he tripped over one.

A (non-zero) vector v of dimension N is an eigenvector of a square (N×N) matrix A if and only if it satisfies the linear equation

\mathbf{A} \mathbf{v} = \lambda \mathbf{v}

where λ is a scalar, termed the eigenvalue corresponding to v. That is, the eigenvectors are the vectors which the linear transformation A merely elongate or shrink, and the amount that they elongate/shrink is the eigenvalue. The above equation is called the eigenvalue equation or the eigenvalue problem.

This yields an equation for the eigenvalues

p\left(\lambda\right) := \det\left(\mathbf{A} - \lambda \mathbf{I}\right)= 0. \!\

We call p(λ) the characteristic polynomial, and the equation, called the characteristic equation, is an Nth order polynomial equation in the unknown λ. This equation will have Nλ distinct solutions, where 1 ≤ Nλ ≤ N . The set of solutions, i.e. the eigenvalues, is sometimes called the spectrum of A.

We can factor p as

p\left(\lambda\right)= (\lambda-\lambda_1)^{n_1}(\lambda-\lambda_2)^{n_2}\cdots(\lambda-\lambda_k)^{n_k} = 0 \!\

where

\sum\limits_{i=1}^{N_{\lambda}}{n_i} =N.

For each eigenvalue, λi, we have a specific eigenvalue equation

\left(\mathbf{A} - \lambda_i \mathbf{I}\right)\mathbf{v} = 0. \!\

There will be 1 ≤ mi ≤ ni linearly independent solutions to each eigenvalue equation. The mi solutions are the eigenvectors associated with the eigenvalue λi. The integer mi is termed the geometric multiplicity of λi. It is important to keep in mind that the algebraic multiplicity ni and geometric multiplicity mi may or may not be equal, but we always have mi ≤ ni. The simplest case is of course when mi = ni = 1. The total number of linearly independent eigenvectors, Nv, can be calculated by summing the geometric multiplicities

\sum\limits_{i=1}^{N_{\lambda}}{m_i} =N_{\mathbf{v}}.

The eigenvectors can be indexed by eigenvalues, i.e. using a double index, with vi,j being the jth eigenvector for the ith eigenvalue. The eigenvectors can also be indexed using the simpler notation of a single index vk, with k = 1, 2, ... , Nv.

It is trying to discredit Christian teaching on sexual behaviour for reasons all to obvious to anyone who knows anything about human nature

What part of SELF CORRECTING are you having trouble dealing with?

I was just wondering where exactly you come up with your assertions about religious beliefs held by anyone on this thread

There is the quality of life to be considered and it seems Atheists have nothing to lose by being cowards and manipulating everything to avoid death.

Remember the saying : "All which is excessive is insignificant."