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,Exact Concepts Concerning Taylor’s Formula and the Extrema of a Function of One Variable,We shall now give up the intuitive reasoning (based on graphical representations) used in the preceding chapters, and will develop an exact argument instead.赦免 发表于 2025-3-22 09:58:24
The Necessary Condition of the First Order in the Case of Two or More Variables, Without ConstraintAs a first step, we consider the diagram below (figure 5.1), which represents the level-curves of a function . (.., ..). By a level-curve is meant a curve along which the value of . (.., ..) remains constant. These curves have the same meaning as the contours of a map.典型 发表于 2025-3-22 13:49:24
Simultaneous Search for the Extrema of Several Functions. Pareto Optimality,Occasionally one comes across problems involving . functions . which one wishes to make simultaneously “as large as possible”. Clearly such a problem is not well defined. In most cases only by giving up control of one of the functions can one increase, another one, and ..兽皮 发表于 2025-3-22 20:24:23
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A Brief Account of the Theory of Matrices and of the Calculation of Determinants,In order to clarify the material presented in the other chapters, we shall introduce here some elementary concepts concerning the theory of matrices and determinants.