Sentence examples for calculus without from inspiring English sources

Who would teach calculus without showing a derivative as a slope?

Using previously developed modularity techniques, we show that the basic variant of the inductive situation calculus without ramification rules is equivalent to Reiter-style situation calculus.

The main purpose of this paper is to exhibit N-tuples of commuting operators (N⩾2) in the class A(N) (i.e., with an isometric w*-continuous H∞ DN) calculus) without the approximate factorization property.

The quantum calculus is known as the calculus without limits.

Quantum calculus, sometimes called calculus without limits, is equivalent to traditional infinitesimal calculus without the notion of limits.

Quantum calculus is the modern name for the investigation of calculus without limits.

How then can we possibly define recursive functions in the λ-calculus without names or refs?

If we keep this in mind, we can work with λ-calculus without worrying about these nettlesome syntactic difficulties.

We equip our calculus with a net semantics that, differently from the approach by Degano et al. [8, 9, 10, 28], uses unsafe P/T nets, as done in [13, 15] for a CCS sub-calculus without restriction, and in [5] for the (pi )-calculus, where however inhibitor arcs are used to model restriction.

A more brutal calculus prevails: without peace, prosperity and prestige abroad, China will have no peace and prosperity at home.

One can develop a fairly good understanding of the power and elegance of calculus, say, without actually being able to use it to solve scientific or engineering problems.