Sentence examples for the above arithmetic from inspiring English sources

Further, according to the above arithmetic rules, (C I,IR)) is also a quasi-linear space.

In brief, IR is not a linear space under the above arithmetic rules of addition and scalar multiplication, but it can almost keep the features of linear space, provided that we replace subtraction by the gH-difference.

In order to clarify the above mentioned arithmetic operations, the following example is presented.

Debuys' main takeaway from his extensive interviews and travels amounts to simple arithmetic involving the above points: (1) climate change makes (2) droughts and (3) growth even more challenging for the Southwest, which is (and always has been) vulnerable to rapid population expansion and resource depletion.

The above representational sequence word problem, diagram, arithmetic solutions, and algebraic formula indicates an inductive reasoning sequence, moving from concrete to abstract and from specific to general (see Fig. 2).

From the above data, the effects of arithmetic relatedness and numerical distance on the peak latencies and peak amplitudes were tested by repeated measures analyses of variance (ANOVAs).

It must be stressed that the above security argument applies only to arithmetic and logical instructions but does not cover memory addressing or branching.

This is perfectly legitimate, according to the traditional account, because a theorem of Peano Arithmetic establishes that the above definition is equivalent to one in normal form.[10] Recursive definitions are circular in their format, and indeed it is this circularity that renders them perspicuous.

Hence when M k ≈ M for k = 1,..., K, the weighted arithmetic averages in the above equations can be justifiably by normal averages.

The above equation in discrete time can be interpreted as geometric mean to arithmetic mean of the spectral powers.

Countless results in number theory invoke the fundamental theorem of arithmetic and the algebraic properties of even numbers, so the above choices have far-reaching consequences.