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By using the U-transformation method, it is possible to uncouple linear simultaneous equations with cyclic periodicity. This text discusses how to apply U-transformation twice to uncouple the two sets of unknown variables in a doubly periodic structure to achieve an analytical exact solution.

Structural analysis (Engineering) --- Mechanics, Analytic. --- Transformation groups.

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Polynomials. --- Analytic functions. --- Polynômes --- Fonctions analytiques --- Polynômes

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This book aims to provide scientists with information about a series of techniques that can be used with a view to facilitating the transformation of the sample to an appropriate state for subsequent detection or quantitation of its components of interest. The techniques dealt with range from the very simple ones (e.g. freeze-drying) to other more complex ones (e.g. glow discharge and laser-induced breakdown sampling). This is the first compilation ever on the subjects of acceleration of solid sample pretreatment; automation of solid sample pretreatment; and integration of solid sam

Chemistry, Analytic --- Sample introduction (Chemistry) --- Technique. --- Analytical chemistry

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514.7 --- Differential geometry. Algebraic and analytic methods in geometry --- 514.7 Differential geometry. Algebraic and analytic methods in geometry

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Geometry, Differential. --- 514.7 --- Geometry, Differential --- Differential geometry --- Differential geometry. Algebraic and analytic methods in geometry --- 514.7 Differential geometry. Algebraic and analytic methods in geometry --- Géométrie différentielle --- Géométrie différentielle