Sentence examples for which arithmetic from inspiring English sources

Results of this clustering are compared to those of the well known UPGMA algorithms, the unweighted pair group method in which arithmetic averages are employed.

Solovay's theorem is so significant because it shows that an interesting fragment of an undecidable formal theory like Peano Arithmetic namely that which arithmetic can express in propositional terms about its own provability predicate can be studied by means of a decidable modal logic, GL, with a perspicuous possible worlds semantics.

When Carnap tries to specify a precise sense in which arithmetic is a "consequence" of a conventionally stipulated linguistic framework, the first incompleteness theorem forces him to employ a meta-language containing mathematics that goes beyond arithmetic (so as to ensure the bivalence of arithmetical truth).

The same group of participants performed both an implicit number-matching task (in which arithmetic knowledge is task-irrelevant) and an explicit arithmetic-verification task (in which arithmetic knowledge is task-relevant).

Most studies capitalized on two behavioral paradigms: the arithmetic-verification task (e.g., Ashcraft & Battaglia, 1978; Winkelman & Schmidt, 1974), in which arithmetic knowledge is explicitly required by the task, and the number-matching task (LeFevre, Bisanz, & Mrkonjic, 1988), in which arithmetic knowledge is accessed implicitly.

In other words, keeping such order allowed us to avoid the occurrence of carryover effects which might have favored the possibility that participants deliberately activated arithmetic knowledge also when performing number matching, i.e., a task in which arithmetic knowledge should be accessed, if any, only implicitly as it is not relevant to task requirements.

There were councils who commissioned social care packages which simple arithmetic would have told them were insufficient to pay minimum wage salaries to the care workers.

We will say more below about infinite numbers for which such arithmetic operations are unproblematic.

In both cases, we find that in situations in which the arithmetic (resp.

A second case study in which an arithmetic theorem is synthesized from an underlying geometric concept is also included.

Wavelet decomposition has recently been generalized to binary field in which the arithmetic is performed wholly in GF(2).