SEARCH Articles Figures Tables An Example Application of the Mean Value Theorem Application of the Vaschy-Buckingham theorem Application of the new Heat Theorem Applications of the Potential Distribution Theorem Applying Gershgorins theorem to study the convergence of iterative linear solvers Atomic force and virial theorems in the presence of external fields Background Notation and Discussion of the Potential Distribution Theorem Bloch Theorem and the Crystal Orbitals Carnots Theorem and the Entropy of Clausius Carnots theorem the maximum efficiency of reversible heat engines Derivation of the Fourier-Mellin Inversion Theorem Derivation of the potential distribution theorem Early history of the Heat Theorem Eulers Theorem and the Gibbs-Duhem Relation Fluctuation theorem and the elastic free energy Formulation of the new Heat Theorem Generalization of the Gibbs-Konovalow theorems Greens theorem and the variation of parameters Green’s theorem in the plane Introduction The basic theorems Mass Transfer in Turbulent Flow Dimensional Analysis and the Buckingham n Theorem Matrix Elements and the Wigner-Eckart Theorem Matrix elements of spherical tensor operators the Wigner-Eckart theorem Nernst Heat Theorem and the Third Law Periodicity and the Bloch theorem Poset Fibrations and the Patchwork Theorem Poyntings theorem in the frequency domain Poyntings theorem in the time domain Practical applications of the Heat Theorem Proof of the Principal Classification Theorem Proof of the Smoothness Theorem Reducible representations The orthogonality theorem Some further applications of the Heat Theorem to condensed systems Spin Inversion and the Adiabatic Theorem The Addition Theorem The Binomial Theorem The Binomial Theorem-Particle Distributions The Bogoliubov variational theorem The Boltzmann H-Theorem The Brillouin Theorem The Buckingham n Theorem The Cayley-Hamilton Theorem The Classification Theorem for Liouville Torus Surgery The Descent Theorem The Duhem Theorem The Ehrenfest Theorem The Electrostatic Theorem The Equipartition Theorem The Extension Theorem The Fierz reshuffle theorem The First Hohenberg-Kohn Theorem Proof of Existence The Flory Theorem The Fluctuation-Dissipation Theorem The Gauss-Bonnet theorem The Generalized Euler Theorem The Gibbs Phase Rule and Duhems Theorem The Gibbs-Konovalow theorems The Great Orthogonality Theorem The Greens theorem and function The Grobman-Hartman theorem The H-Theorem Formulation The H-Theorem and Entropy The Heilman-Feynman Theorem The Hellman-Feynman Theorem The Hellmann-Feynman Theorem The Hellmann-Feynman Theorem for Approximate Wavefunctions The Hilbert Basis Theorem The Hohenberg-Kohn Existence Theorem The Hohenberg-Kohn Theorem The Hohenberg-Kohn Theorem for Degenerate Ground States The Hohenberg-Kohn Theorem for Relativistic -Particle Systems The Hohenberg-Kohn Variational Theorem The Inflection-point theorem The Isomorphism Theorems The Kolmogorov-Arnold-Moser theorem The Koopmans Theorem The Limit Cycle Existence Theorem The Linked Diagram Theorem The Liouville Theorem The Main Theorem The Main Theorem of Algebraic Morse Theory The Mean Value Theorem The Off-Diagonal Hypervirial Theorem The Pairing Theorem The Phase Rule. Duhems Theorem The Poincare-Bendixon theorem The Polar Decomposition Theorem The Potential Distribution Theorem The Projection Slice Theorem The Projection-Cross-Section Theorem The Pythagorean Theorem The Quantum Potential Distribution Theorem The Rearrangement Theorem The Reciprocal Theorem The Reynolds Transport Theorem The Runge-Gross Theorem The Schema Theorem The Second Hohenberg-Kohn Theorem Variational Principle The Shifting Theorem The Spin-Statistics Theorem The Super-Additive Ergodic Theorem approach The Theorem of Corresponding States in Quantum Mechanics The Theorem of Minimum Entropy Production The Virial Theorem The Virial Theorem and Chemical Bonding The Virial Theorem for Atoms and Diatomic Molecules The Wiener-Khintchine theorem The biaxial theorem The c theorem The centre manifold theorem The convolution theorem The correlation theorem The distortion theorem The electrostatic theorem and chemical binding The hypervirial theorem The linked-cluster (Goldstones) theorem The molecular electronic virial theorem The optical theorem The orthogonality theorem The pi Theorem The stress theorem The structural energy difference theorem The surface matching theorem The theorem of renormalizability The theorem of superposition The variation theorem The zero deficiency theorem Theorem for the Chirality of Nonrigid Molecules Theorem of the concentrations in pure mode Theorems concerning the properties of Theorems of the Bond Valence Theory Uniqueness theorem for the unbounded domain Upper bounds and the Hylleraas-Undheim theorem Use of the Heat Theorem to control experimental work Variational derivation of the atomic virial theorem Wicks Theorem for the Evaluation of Matrix Elements