First Sentence:
Vectors are used when both the magnitude and the direction of some physical quantity are required.
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Key Phrases - Statistically Improbable Phrases (SIPs):
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similarity transform matrices, equilibrium eigenvector, heat bath molecules, truncated harmonic oscillator, eigenvector correction, rate constant matrix, triangular molecule, symmetric stretch vibration, trial eigenvector, independent residues, single atomic orbital, ith residue, diagonalized matrices, eigenvalue corrections, mean first passage time, degenerate molecular orbitals, symmetry matrices, smallest nonzero eigenvalue, electron amplitude, direct product matrix, nonsymmetric matrix, helix units, eigenvector components, vector graphs, outer atoms
Key Phrases - Capitalized Phrases (CAPs):
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Asymmetric Tridiagonal Matrices, The Kac
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