Sentence examples for value of the integral from inspiring English sources

where A (cm−2) is a proportionality constant that depends on the vibration mode, ω is the oscillatory frequency, or wavenumber (cm−1), and I is the value of the integral, i.e. the integrated absorption intensity.

Because of the analyticity of (zmapsto (z+overline{tilde{A}})^{-1}), we can shift the path of integration without changing the value of the integral in (6.17) to the curve (tilde{Lambda }=Lambda _1cup Lambda _2cup Lambda _3), where (Lambda _1={re^{-i3pi /4}|, 1le r

Consider integrating over Here,, and The exact value of the integral is (2.53).

The main parameter required for a Monte-Carlo integration is the requested accuracy of the final value of the integral.

The value of the integral depends only on certain qualitative features of the path in modern terms, on its topology.

?First, we put a limitation on the maximum value of the integral term to prevent the cyclic burst of it.

The minimum values of the integral images are subtracted from the maximum ones in order to constrain the final costs to be positive.

Of course, the situation is determined by the interplay between the intervals of positivity and negativity of f and the corresponding values of the integral function: the farther it is from 0, the better.

The boundary values of the integral (Phi z)) satisfy the Plemelj-Sokhotskii formulas [13, 14], and thus the projectors P and Q are corresponding projectors on the spaces of analytic functions [15].

Most of the data are aligned with eleven lines, which are predicted counter values of the integral multiples (from 1 to 11, shown in the right) of the fundamental pulse interval of 5.882 ms.

In addition, the bounds make it possible to employ discontinuous functions such as ([alpha]) in place of β, and then the asymptotic result also captures the precise oscillations in the values of the integral, as (alpha rightarrow infty).