Sentence examples for calculus terms from inspiring English sources

We just found, in differential calculus terms, the derivative function df(x)/dx, or instantaneous rate of change, at any point x, of the function f(x)=x3, which is 3x2.

Consider that Carnap (1939, 1956b) admitted as legitimate theoretical terms that may be merely implicitly defined in calculi that are themselves only partially interpreted by correspondence rules between some select calculus terms and expressions belonging to an observational language (via non-eliminative reductions).

Similarly, a source calculus term is translated into an infinite set of target semantic terms; one of these is the basic translation (not necessarily of the default semantic type for the relevant syntactic category), the others are derived by the Curry-Howard term image of the typing shifting laws.

Also introduced is a functional calculus forAin terms of the Fourier transform.

We give a reformulation of the fundamentals of Malliavin's calculus in terms of white-noise.

We give a simplified presentation of two-parameter stochastic calculus in terms of a symbolic calculus of differentials.

Next, we re-analyze the regression method in the Situation Calculus in terms of update axioms for dynamic epistemic temporal logics.

Of these properties only the last, in which a differential is considered to be a variable quantity tending to 0, survived the 19th century refounding of the calculus in terms of the limit concept[22].

The Next lemma gives an analogous result to the fundamental theorem of calculus in terms of the operators D r, a α, β and J r, a α, β.

The representations have the advantage of allowing flexible and easy to control shapes of the fuzzy numbers (we use the standard α-cuts setting, but also the membership functions are obtained immediately) and can be used directly to obtain error-controlled-approximations of the fuzzy calculus in terms of a finite set of parameters.

I therefore cast them out…" Ultimately Cauchy, Weierstrass, and Riemann, reformulated Calculus in terms of limits rather than infinitesimals.