Sentence examples for usual properties from inspiring English sources

Perhaps more important have been various so-called substructural logics in which the usual properties of the deduction symbol are weakened: relevance logic is studied by philosophers, linear logic by computer scientists, and a noncommutative version of the latter by linguists.

An error term π iob with the usual properties is added to the equation.

The following result shows that this condition can be guaranteed under some usual properties.

Recently there has been a lot of interest in investigating geometric properties of sequence spaces besides topological and some other usual properties.

Researchers can precisely tune the quantum state of that light by, for instance, putting it in a so-called Fock state that consists of a definite number of photons but lacks the usual properties of a classical light wave.

Cremins [18, 19] defined a fixed point index (operatorname{ind}_{K} [L,N],Omega)) for A-proper maps acting on cones, which has the usual properties of the classical fixed point index, that is, existence, normalization, additivity, and homotopy invariance.

Naturally the developer will agree, then proceed as usual: property rights will be secured and zoning regulations complied with, resulting in low urban intensity.

The profit is the difference between the outgoing mortgage payment, maintenance plus usual property expenses, and the incoming rent," he says, "A price is agreed for a possible future sale of the property and the potential buyer gains exclusivity of the purchase for an agreed time".

With their protests, the students sought to send a message to Gov. Christopher J. Christie, a Republican whose reductions in state aid to education had led many districts to cut staff and programs and to ask for larger-than-usual property tax increases.

Motivated by the weighted Kendall's tau correlation coefficient [ 39], Lee and Yu [ 18, 19] defined the weighted Kendall's tau distance by T w π, σ = ∑ i < j w π 0 i w π 0 j I π i - π j σ i - σ j < 0. It is important to note that this weighted distance satisfies all the usual distance properties, in particular the symmetry property, i.e., T w  =  T w.

The degree function d defined above satisfies the usual basic properties, as in [10].