Sentence examples for coefficients and functions from inspiring English sources

The coefficients and functions of Rodrigues' formula for each of the polynomials are detailed in Table 1.

Although the selection of the coefficients and functions in the example is somewhat artificial, the possible application of our theoretical theory is clearly expressed.

Table 1 Coefficients and functions of the basis functions using Rodrigues' formula   f n (x) a n ρ(x) g (x) Power W n (x) ( (2.n)!/n! ) x 2.n 1 Legendre P n (x) (−1) n.n n.n! 1 1 – x 2 Laguerre L n (x) n! e−x x Hermite A H n (x) (−1) n ( {e}^{-{x}^2} ) 1.

By utilizing the modal analysis and Galerkin's method, we can obtain a set of approximate governing equations of motion with time-dependent random coefficients and forcing functions.

It is a multi-resolution analysis and it decomposes images into wavelet coefficients and scaling function.

Subsequently, modified ELM, named as partial linear extreme learning machine (PLELM), is developed to estimate the unknown coefficients and undefined function of the thermal model.

These models maximize prediction capacity with the coefficients and variables functioning as a set.

The relationship between chronology and climate conditions was determined on the basis of correlation coefficients and response function values.

Correlations between various parameters were determined using linear regression analysis and by computing regression equations and correlation coefficients, and the function of better fit was determined.

By contrast, GFPe1, GFPc1, and GFPd2 fluoresce weakly yet but are highly absorbent (high extinction coefficients) and may function in pigmentation during development, and/or in photoprotection.

The rational function coefficients and buffeting indicial function coefficients that appear in the time-domain formulation were previously extracted for the NREL S830 airfoil section model in a wind tunnel.