Titlebook: Mathematical techniques in crystallography and materials science; Edward Prince Book 1982 Springer-Verlag Berlin Heidelberg 1982 Kristall.

exostosis

z konfrontiert sind, sich nicht dauerhaft einen Haushalt und Alltag teilen, und das obwohl es in der Regel immer noch als Ideal gilt, sich als Paar physisch nah zu sein und es weiterhin für ‚normal‘ gehalten wird, zusammen zu wohnen. Die beobachtbare Nicht-Präsenz führt somit sowohl vor dem Hintergr

Atheroma

Matrices: Definitions and Fundamental Operations,sional space in which we live. Most of these properties can be described, at least approximately, by systems of linear relationships between one set of measurable quantities, “causes,” and another set of measurable quantities, “effects.” We shall find that a useful shorthand for expressing these rel

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MELON

LIMIT

协迫

Estimation of Uncertainty,e data. We are then faced with the question, “How confident can we be that the parameters that give the best fit correspond to the facts concerning the physical or chemical quantities we were trying to measure?” This question resolves itself into the problem of estimating two distinct quantities, wh

arrhythmic

Significance and Accuracy,meter, .?” In the two-parameter problem of the previous chapter the question could be phrased, “Is the value of the coefficient, ., ‘significantly’ different from zero?” One way to answer this question is to find some . estimate of σ. and determine whether the spread of the values of .. about their

庄严

Constrained Crystal Structure Refinement,le discussion of the nature of the appropriate model, except for the implicit one that the first partial derivatives of the predicting function with respect to all parameters must exist. We shall now turn to the specific question of the determination of the parameters of a crystal structure by fitti

Iniquitous

Matrices: Definitions and Fundamental Operations,f measurable quantities, “causes,” and another set of measurable quantities, “effects.” We shall find that a useful shorthand for expressing these relationships is the algebra of matrices. To make use of this algebra we need to start, if only to make sure we agree on notation, with definitions of matrices and their fundamental operations.

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Symmetry of Finite Objects,ombination of these—brings it to a state that is indistinguishable from its original state. The mathematical treatment of symmetry makes extensive use of the theory of .. A group is defined, quite arbitrarily, as a set of operations that combine. in such a way as to satisfy four postulates.