Sentence examples for number class from inspiring English sources

Also, in connection with these consistency proofs, various proposals have been made to present constructive notations for the ordinals of segments of the German mathematician Georg Cantor's second number class, which includes ω and the first epsilon-number and much more.

After the second number class comes a "third number class" (all transfinite ordinals whose set of predecessors has cardinality ℵ1); the cardinality of this new number class can be proved to be ℵ2.

The compounds can be represented by identification number, class label or as a 2D structure of the compound.

On that basis, Cantor could establish the results that the cardinality of the "second number class" is greater than that of N; and that no intermediate cardinality exists.

In this case, taking inspiration from Cantor, König's solution is that Cantor's second number class is not a set in a proper sense (a completed totality).

Thus, if you write card(N) = ℵ0 (read: aleph zero), his theorems justified calling the cardinality of the "second number class" ℵ1.

With the adumbration of the number classes, CH takes on the form that the continuum has the power of the second number-class, and with the development of the aleph-scale, it assumes the form of a conjecture about the exponentiation operation in the generalised cardinal arithmetic, for it can be expressed in the form 2ℵ0 = ℵ1.

Splitting ligatures into primary and secondary ligatures results in a significant reduction of the number classes.

The second step, CN Class Detection, generates copy number classes for the candidate CNVs generated from step 1 (Figure 1H I).

Secondly, we fine tune the detection of rare variants and infer the putative copy number classes for each locus.

In the normal population, copy number classes of 3 to 5 defensin repeats per diploid genome are the most prevalent.