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43 results for “Eigenvalues” · Page 3 of 3

41. Random Matrices · Lesson

    Universality Everywhere

    … Universality within random matrices is remarkable enough: change the entries and the eigenvalue statistics do not notice.

42. Aperiodic Tilings · Lesson

    Why It Never Repeats

    Its largest eigenvalue is φ⁴ = (7 + 3√5)/2 = 6.854101966… , and that is the factor the tile count multiplies by at every step.

43. Random Matrices · Lesson

    Wigner's Nuclei

    Predicting a resonance energy means finding an eigenvalue of the nucleus's Hamiltonian, and that Hamiltonian is a matrix on a space whose dimension counts the ways two hundred fermions can be arranged among their available states.