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Books in Mathematics

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2651-2660 of 2668 results in All results

Quadratic Forms and Matrices

  • 1st Edition
  • January 1, 1952
  • N. A. Yefimov
  • English
  • eBook
    9 7 8 - 1 - 4 8 3 2 - 6 7 6 7 - 8
Quadratic Forms and Matrices: An Introductory Approach focuses on the principles, processes, methodologies, and approaches involved in the study of quadratic forms and matrices. The publication first offers information on the general theory of quadratic curves, including reduction to canonical form of the general equation of a quadratic curve, invariants and classification, reduction to canonical form of the equation of a quadratic curve with center at the origin, and transformation of coordinates in the plane. The text then examines the general theory of quadratic surfaces. Topics include transformation of rectangular coordinates in space; general deductions based on the formulas for the transformation of coordinates; reduction to canonical form of the equation of a quadric with center at the origin; and reduction to canonical form of the general equation of a quadric surface. The manuscript ponders on linear transformations and matrices, including reduction of a quadratic form to canonical form; reduction to canonical form of the matrix of a symmetric linear transformation of space; change of the matrix of a linear transformation due to a change of basis; and geometric meaning of the determinant of a linear transformation. The publication is a vital reference for researchers interested in the study of quadratic forms and matrices.

The Statistics of Bioassay

  • 1st Edition
  • January 1, 1952
  • C. I. Bliss
  • English
  • eBook
    9 7 8 - 1 - 4 8 3 2 - 7 7 0 1 - 1
The Statistics of Bioassay: With Special Reference to the Vitamins, Volume II focuses on the processes, reactions, principles, and approaches involved in the biological assay of vitamins. The publication first offers information on the general principles of biological assay, dosage-response curve and its error, and designs for segregating nonrandom variation. Discussions focus on replacement of missing values, randomized groups, calculation of the line, analysis of the variation about the line, comparative biological assays, analytical biological assays, and determination of activity. The text then ponders on measurement of relative potency and correction of quantitative variables. The manuscript takes a look at assays where the variation in response is a function of the dose and slope-ratio assays. Topics include microbiological assays and the slope-ratio technique, analysis of balanced slope-ratio assays, analysis of assays with an all-or-none response, and graded response with unequal variance. The publication then tackles multiple or repeated assays, including quality control in repeated assays and combination of independent assays of a single unknown. The publication is a valuable source of information for researchers interested in the biological assay of vitamins.