Sentence examples for difference quotient from inspiring English sources

The properties of proposed fractional difference quotient operator are presented and proved.

Thus, the difference quotient can be interpreted as instantaneous velocity or as the slope of a tangent to a curve.

This simplifies to gt + gh/2 and is called the difference quotient of the function gt2/2.

In de Branges theory an important role is played by resolvent-like difference quotient operators Rα; here we introduce generalized difference quotient operators Ryα for any non-constant meromorphic function y on the Riemann surface.

The first step is to find a feasible basic point through defining a global normalized constraint function and using a difference quotient method.

Using the bootstrap argument and the difference quotient method, we obtain that if aij∈C0,1loc, then u∈W2,ploc for any p<∞.

Just as the classical de Branges spaces and difference quotient operators appear in the operator model theory for a single nonselfadjoint (or nonunitary) operator, the spaces we consider and generalized difference quotient operators appear in the model theory for commuting nonselfadjoint operators with finite nonhermitian ranks.

The transition to the traditional calculus becomes easier because difference quotients and Riemann sums are usually written that way.

The discrete mechanics does not contain any continuous differentiation, but contains only difference quotients.

I still remember when I first saw the rigorous definition of a derivative, which involves taking the limit of difference quotients to give meaning to an expression that looks at first glance to be zero divided by zero.

Our main tools are fractional difference quotients and the square fractional derivative of R. Strichartz in (1967, J. Math. Mech.16, 9) extended to this context.