eigenvalues

My intuition on this is that a better model of the eigenvalues is the Boltzmann distribution, with the values as energy levels rather than strategies, which seems to complex for the PCA.

Rational Decisions, Random Matrices and Spin Glasses « Climate Audit 2006

One of the underlying assumptions of general relativity is that spacetime can be represented by a Lorentzian manifold with signature (+, -, -, -) or (-, +, +, +) – where the signature of a metric tensor is just the number of positive and negative eigenvalues of the corresponding real symmetric matrix once it is diagonalised.

Bad Language: “Riemannian Manifold” 2009

One of the underlying assumptions of general relativity is that spacetime can be represented by a Lorentzian manifold with signature (+, -, -, -) or (-, +, +, +) – where the signature of a metric tensor is just the number of positive and negative eigenvalues of the corresponding real symmetric matrix once it is diagonalised.

Bad Language: Metric vs Metric Tensor vs Matrix Form vs Line Element 2009

It can shown that since the eigenvalues of the two subsystems are equal that S(A) = S(B) and that S = 0.

Searching for Life in the Multiverse | Universe Today 2010

Hermitean operators are linear operators, which have only real eigenvalues.

Quantum Mechanics Ismael, Jenann 2009

No one was in doubt about how to solve for eigenvalues of a matrix or otherwise implement the idea covered in the patent.

The Volokh Conspiracy » Supreme Court Skeptical of Business Method Patents 2009

Hermitian operators in the Hilbert space associated with a system represent physical quantities, and their eigenvalues represent the possible results of measurements of those quantities.

Quantum Mechanics Ismael, Jenann 2009

In the case that the vector is normalized, it will, from (3.1), represent a possible state of the system, and in the event that it is the sum of a pair of eigenvectors of an observable B with distinct eigenvalues, it will not itself be an eigenvector of B, but will be associated, from (3. 4b), with a set of probabilities for showing one or another result in B-measurements.

Quantum Mechanics Ismael, Jenann 2009

In case of a perfect detector these two states should be orthogonal (because they should be eigenstates of some observable corresponding to different eigenvalues that tell you through which slit the electron went) and then the interference pattern will vanish.

Quantum Hyperion Sean 2008

The only thing which is real are the eigenvalues of Hermitian operators.

Quantum Hyperion Sean 2008