Sentence examples for functions can be differentiated from inspiring English sources

Nevertheless, there is a way of extending the notion of the derivative so that all continuous functions and many other functions can be differentiated using a concept known as the weak derivative.

But it turns out that these fractal functions can be differentiated a fractional number of times, and the fractional calculus is important for studying these differentiability properties.

Several groups of investigators have shown that subjects with clinically asymptomatic impairment of systolic cardiac function can be differentiated from symptomatic patients by the presence of exercise stress-induced increases in SVI in association with ventricular dilatation [ 33, 34].

A more proximal and a distal part can be differentiated.

The following examples will be confined to those functions that can be differentiated by use of the Power Rule and the Chain Rule in combination.

(d) The series of functions (5.58) can be differentiated term-by-term within, and therefore,.

The notion of fitness is fundamental to the application of GA, in which the degree of success depends critically on the definition of a fitness function that ensures that individuals can be differentiated according to their capacity for solving the problem.

The labor market effect of occupational interaction not only is, therefore, able to exert influences on individual labor market outcomes but also can be differentiated from functions of general individual social networking.

An informal derivation of this formula for is given in Appendix E. Clearly, since many derivatives are involved, a Taylor series expansion is only possible when the function is so smooth that it can be differentiated again and again.

See the first four sections of chapter V. (Tuesday 10/16) Proof that a power series defines a holomorphic function inside its radius of convergence which can be differentiated term by term, see section V.3.

WJMSCs can be differentiated into cells that are Schwann-like in terms of morphologic features, phenotype, and function and could be suitable Schwann-cell substitutes for nerve repair in clinical applications.