Sentence examples for system of function from inspiring English sources

For 1D iterative system of function yn+1= f (y n ), the Lyapunov exponent is described as: L E = lim n → ∞ 1 n ∑ i = 0 n - 1 ln f ′ ( y i ) (2).

Thus the system of functions is independent.

The monic orthogonal polynomials form an orthogonal system of functions.

Z is the sequence of Fourier coefficients on the trigonometric system of functions f.

Then for every there exists a unique system of functions such that (2.7).

end{aligned} (28) Therefore, the system of functions (22) exists and is smooth.

The completeness of a system of functions on a compact interval can be straightforwardly proved, while the difficult cases are dealing with the system of functions on unbounded intervals.

The relation between the physical coordinates and the geometric structure in general relativity is described by a complicated system of functions \(g_{ij}(x^{i})\).

It is easy to see that the system of functions ({ Phi _{n} ( varphi) } _{n=1}^{infty }) forms a complete orthonormal system in the space (L_{2} ( 0,alpha) ).

In the paper [21], a special system of functions was proposed to expand this mixed problem by means of a slight modification of the separation of variables method.

A system of functions is the basis of the, and the above-mentioned equality is equivalent to the condition below (2.12).