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Electric currents. --- Electric circuits. --- Circuits, Electric --- Electric lines --- Currents, Electric --- Electric potential --- Potential, Electric

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This book provides a comprehensive presentation of geometric results, primarily from the theory of convex sets, that have been proved by the use of Fourier series or spherical harmonics. An important feature of the book is that all necessary tools from the classical theory of spherical harmonics are presented with full proofs. These tools are used to prove geometric inequalities, stability results, uniqueness results for projections and intersections by hyperplanes or half-spaces and characterisations of rotors in convex polytopes. Again, full proofs are given. To make the treatment as self-contained as possible the book begins with background material in analysis and the geometry of convex sets. This treatise will be welcomed both as an introduction to the subject and as a reference book for pure and applied mathematics.

Convex sets. --- Fourier series. --- Spherical harmonics. --- Functions, Potential --- Potential functions --- Harmonic analysis --- Harmonic functions --- Fourier integrals --- Series, Fourier --- Series, Trigonometric --- Trigonometric series --- Calculus --- Fourier analysis --- Sets, Convex --- Convex domains --- Set theory

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Water. --- Impedance (Electricity) --- Electric currents. --- Dielectrics. --- Thickness measurement. --- Ice. --- Slush. --- Water. --- Electrical impedance. --- Electric potential. --- Dielectrics. --- Sensitivity. --- Thickness.

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Mathematical potential theory --- Potentiaaltheorie --- Potential theory (Mathematics) --- Potentiel [Théorie du ] --- Potentiel, Théorie du --- Fonctions de plusieurs variables réelles. --- Fonctions sous-harmoniques. --- Functions of several real variables --- Subharmonic functions --- Fonctions de plusieurs variables réelles --- Functions of several real variables. --- Potentiel, Théorie du --- Theorie de la mesure --- Fonctions harmoniques --- Capacites

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Over the past 25 years, the molecular electrostatic potential has become firmly established as an effective guide to molecular interactions. With the recent advances in computational technology, it is currently being applied to a variety of important chemical and biological systems. Its range of applicability has expanded from primarily a focus on sites for electrophilic and nucleophilic attack to now include solvent effects, studies of zeolite, molecular cluster and crystal behavior, and the correlation and prediction of a wide range of macroscopic properties. Moreover, the increasing promine

Quantum chemistry --- Quantum chemistry. --- Electromotive force. --- Chemical reaction, Conditions and laws of. --- Conditions and laws of chemical reaction --- Reaction, Conditions and laws of (Chemistry) --- Chemistry, Physical and theoretical --- Physical laws --- Electric potential --- EMF (Electromotive force) --- Force, Electromotive --- Potential, Electric --- Voltage --- Force and energy --- Chemistry, Quantum --- Quantum theory --- Excited state chemistry