Sentence examples for definite integral of from inspiring English sources

Because the definite integral of a function determines the area under its curve, integration is still sometimes referred to as quadrature.

The definite integral of f from a to b.

The (definite) integral of the function f, between initial and final values t = a and t = b, is the area of the region enclosed by the graph of f, the horizontal axis, and the vertical lines t = a and t = b, as shown in the figure.

Thus the rotations of the disk and the wheel are related through multiplicative factors and the number of turns made by the integrating wheel (for any number of turns of the disk) will be expressed as a definite integral of the function represented by the variable position of the wheel on the disk.

This implies that the delta definite integral of any right-dense continuous function exists.

The normalization causes the definite integral of the function over the real numbers equal to 1.

From a formal mathematical point of view, the incremental change dU in the internal energy is an exact differential (see differential equation), while the corresponding incremental changes d′Q and d′W in heat and work are not, because the definite integrals of these quantities are path-dependent.

All the above terms are weighted sums of definite integrals of the product of two normal distributions.

The main objective is to show that this probability can be written in terms of definite integrals of the MGF of SNR per branch of the MRC receiver.

It is known that the double exponential transformation gives an optimal result for the numerical evaluation of definite integrals of an analytic function [11, 12, 13].

The SEP expressions, obtained from the definite integrals of the MGF function of the SNR at the input of the MRC receiver, are written in terms of Lauricella functions.