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Other articles related to "function":
Integral - Fundamental Theorem of Calculus - Statements of Theorems
... Let f be a continuous real-valued function defined on a closed interval ... Let F be the function defined, for all x in, by Then, F is continuous on, differentiable on the open interval (a, b), and for all x in (a, b) ... Let f be a real-valued function defined on a closed interval that admits an antiderivative g on ...
Integral - Extensions - Multiple Integration
... In general, an integral over a set E of a function f is written Here x need not be a real number, but can be another suitable quantity, for instance ... Just as the definite integral of a positive function of one variable represents the area of the region between the graph of the function and the x-axis, the double integral of a positive function of two variables ... be obtained via the triple integral — the integral of a function in three variables — of the constant function f(x, y, z) = 1 over the above mentioned region between ...
Integral - Fundamental Theorem of Calculus
... differentiation and integration are inverse operations if a continuous function is first integrated and then differentiated, the original function is ... theorem of calculus, allows one to compute integrals by using an antiderivative of the function to be integrated ...
Famous quotes containing the word function:
“The function of comedy is to dispel ... unconsciousness by turning the searchlight of the keenest moral and intellectual analysis right on to it.”
“Any translation which intends to perform a transmitting function cannot transmit anything but informationhence, something inessential. This is the hallmark of bad translations.”
“My function in life is not to be a politician in Parliament: it is to get something done.”
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