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Chem. Its profit real time the foreign exchange rate forecast will you choose. 248 Linear Operators and Matrix Inverses - The last row of C 1s arb~trarya, nd there are an infinlte number of nght Inverses, 6 of homogeneous fuctions, 122 Del (r), 159 formulas involving, 159 in curl, gradient, and divergence, 159 Deleted neighborhood, 6, 117 De Moivres theorem, 7, 15 Dense, everywhere, 2 Denumerable set (see Countable set) Dependent variable, 39, 116 Derivatives, 6589, 7579 (See also Differentiation) chain rules for, 70, 124 continuity and, 66, 72, 121, 130 definition of, 65, 66 directional, 186, 193, 202 evaluation of, 71, 7589 graphical interpretation of, 66 higher order, 71, 120 of functions of a complex variable, 393, 400403 of infinite series of functions, 269, 400403 of elementary functions, 71, 7880 of vector functions, 157, 171, 172 partial (see Partial derivatives) right- and left-hand, 67, 77, 78, 86 rules for finding, 70 table of, 71 Determinant: for cross product, 154 for curl, 159 for scalar triple product, 155 Jacobian (see Jacobian) Dextral system, 152 Difference equations, 65 Differentiability, 66, 67, 121 and continuity, 66, 72, 73 continuous, 66 piecewise, 66 Differential: as a linear function, 68, 121 elements of area, of volume, 160, 163, 212, 213, 233 Differential equation: Gauss, 276 solution of, by Laplace transforms, 314, 330 Differential geometry, 158, 181 Differentials, 67, 68, 69, 78, 120122 forex exchange rates widget by use of, 78, 79, 120 exact, 122, 131, 132 geometric interpretation of, 68, 69, 121 of functions of several variables, 120, 130 of vector functions, 156 total, 120 Differentiation (See also Derivatives) of Fourier series, 339, 353 Differentiation (Cont.
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