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Hence, the function yields higher results if the molecules have more atoms.
where the function : yields information on the corresponding physically relevant potential.
In particular, the function yields therefore an orthogonality measure to the discrete basic Hermite polynomials, given by (2.60).
When increasing the value of p, the function yields a flat window with steep troughs to zeros at x = 0 and x = 1. Figure 21 [95] shows the simulated results of the window function implementation.
The curve fit function used was of the form: F i t = a 1 X ∗ e − (x − a 2 a 3 ) 2 Thus, for the velocity X = 0, the function yields zero occurrences.
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Then the properties of the function yield that is a Cauchy sequence in.
Comparing coefficients with the above series of the exponential function yields the desired Taylor series : \frac{e^x}{\cos x}=1 + x + x^2 + {2x^3 \over 3} + {x^4 \over 2} + \cdots.\!
The efficiency function yields the desirable properties.
The definition of the interpolating function yields immediately that bond prices in the continuous tenor extension coincide with those of the discrete tenor affine LIBOR model for all maturities.
The goal is to choose the free integer filter parameters such that the filter function yields a desired frequency response.
Given a lossy network, the objective function yields a set of paths that has the minimum number of channel uses in the case of equal link loss probabilities. .
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com