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Any function of two independent angular coordinates (such as the direction angles 0, <1; of the radius vector) which satisfies equation (7) is called a Laplace's function. Thus Y is a Laplace's function of the order n. The corresponding function a when expressed in terms of (at, y, z) satisfies Laplace's equation and is a spherical harmonic, Art. 161. A Laplace's function when expressed as a function of the Cartesian coordinates of the point at which the radius vector intersects some given sphere with its centre at the origin is called a spherical surface harmonic.
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A Treatise on Analytical Statics, Vol. 2: With Numerous Examples
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Paperback. Condition: New. Print on Demand. This book delves into the fascinating world of attraction, a fundamental force that governs the universe. It explores the Newtonian law of gravitation, which describes how objects with mass attract each other, and investigates the mathematical concepts used to calculate and understand these forces. The author meticulously examines the attraction of various geometric shapes, from simple rods and discs to complex surfaces and solids of revolution. The book also introduces the concept of potential, a crucial tool in understanding attraction. Potential, as defined by the author, is a measure of the energy stored in a system of attracting particles. The book goes on to explore the relationships between potential and force, and how these concepts can be applied to real-world scenarios. Through its rigorous analysis and exploration of these intricate mathematical concepts, the book provides a comprehensive and illuminating study of attraction, a subject that has captivated scientists and mathematicians for centuries. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781330480175_0
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A Treatise on Analytical Statics, Vol 2 With Numerous Examples Classic Reprint
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A Treatise on Analytical Statics, Vol 2 With Numerous Examples Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330480175
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