Arithmetical in a sentence

Arithmetical functions main Many arithmetical functions are defined using the canonical representation.

Every arithmetical number is analytical, but not every analytical number is arithmetical.

Every computable number is arithmetical, but not every arithmetical number is computable.

Every computable real number is arithmetical, and the arithmetical numbers form a subfield of the reals, as do the analytical numbers.

Three different types of punch cards were used: one for arithmetical operations, one for numerical constants, and one for load and store operations, transferring numbers from the store to the arithmetical unit or back.

But this arithmetical conclusion is never automatic in such cases where each nation claims to hold firmly to its right to vote in its ‘best national interests’.

Al-Karaji (born 953) completely freed algebra from geometrical operations and replaced them with the arithmetical type of operations which are at the core of algebra today.

All the arithmetical expressions and formulas make sense for hyperreals and hold true if they are true for the ordinary reals.

An FFT is a way to compute the same result more quickly: computing the DFT of N points in the naive way, using the definition, takes (N 2 ) arithmetical operations, while an FFT can compute the same DFT in only O(N log N) operations.

As described earlier, the Gödel sentence of a system F is an arithmetical statement which claims that no number exists with a particular property.

As such, they could be expected to have and do have deep arithmetical properties.

By introducing arithmetical operations on quantities previously regarded as geometric and non-numerical, Thabit started a trend which led eventually to the generalisation of the number concept.

Edwards, Smith & ben Uziel 1853, p. 82. In point of fact, finding the year is a very straightforward arithmetical procedure.

For example, the limit of a Specker sequence is an arithmetical number that is not computable.

For example, we could imagine a set of true axioms which allow us to prove every true arithmetical claim about the natural numbers (Smith 2007, p 2).

For instance, the following statements use different syntaxes, but cause the same instructions to be executed: Generally these operations would all perform an arithmetical addition of 'y' to 'x' and store the result in a variable called 'x'.

He was spurred to it by sharing the burden of arithmetical labor involved in his father's official work as supervisor of taxes at Rouen.

Hipparchus may have used a globe for these tasks, reading values off coordinate grids drawn on it, or he may have made approximations from planar geometry, or perhaps used arithmetical approximations developed by the Chaldeans.

However, it is our everyday arithmetical practices such as counting which are fundamental; for if a persistent discrepancy arose between counting and Principia, this would be treated as evidence of an error in Principia (e.

On the other hand, in arithmetical lunisolar calendars, an integral number of months is fitted into some integral number of years by a fixed rule.