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This observation can be mathematically stated as followsLevel sets[edit]Linear approximation to a function[edit]Mathematical Handbook for Scientists and Engineers: Definitions, Theorems, and Formulas for Reference and ReviewIn some applications it is customary to represent the gradient as a row vector or column vector of its components in a rectangular coordinate systemfor any v n

for x close to x0, where ( ∇ f ) x 0 {displaystyle (nabla f){x{0}}} is the gradient of f computed at x0, and the dot denotes the dot product on nConsider a room in which the temperature is given by a scalar field, T, so at each point (x, y, z) the temperature is T(x, y, z)where the ei are the orthogonal unit vectors pointing in the coordinate directionsAvec cette extension, vrifiez s'il y a des nouveaux sujets sur ce forum en un clic depuis n'importe quelle page ! Cliquez ici pour en savoir plus.If f(x1, ., xn) is a differentiable, real-valued function of several variables, its gradient is the vector whose components are the n partial derivatives of fGradient of the 2-d function f(x, y) = xe(x2 + y2) is plotted as blue arrows over the pseudocolor plot of the function

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