Sentence examples for kind we define from inspiring English sources

In this paper, by considering Barnes-type Narumi polynomials of the second kind and Barnes-type Peters polynomials of the second kind, we define and investigate the hybrid polynomials of these polynomials.

In this paper, by considering Barnes-type Daehee polynomials of the first kind as well as poly-Cauchy polynomials of the first kind, we define and investigate the mixed-type polynomials of these polynomials.

As the definition of the degenerate Cauchy numbers of the second kind comes from the definition of those of the first kind, we define the degenerate Cauchy numbers of the forth kind by the generating function as follows: frac{ lambda t}{log( 1+ lambdalog(1+t))} = sum_{n=0}^{infty} C_{n, lambda,4} frac{t^{n}}{n!}.

We distinguish some kinds of feature to measure their similarity: Feature whose value is a single number: for this kind of feature, we define a possible interval, call ([MIN,MAX]), for the value of the feature.

Less than 3% of extant bat species show migratory movement of any kind (for simplicity we define migration here as seasonal movements of greater than 50 km) with less than 0.016% of extant bat species moving over 1000 km in a one-way journey [8].

Bacteria are constantly exchanging genetic information, which is a rudimentary kind of sex, if we define sex at this level, in an expanded but entirely legitimate manner, as the mixing of genetic information from at least two entities.

In the following, we define a kind of generalized singular Teodorescu operator and give some necessary lemmas.

In this paper, we define a kind of generalized Teodorescu operator which is related to the k-regular functions in real Clifford analysis.

We define this kind of storage nodes as near likely nodes, which are the nodes that are in the neighborhood (i.e., near) and carry the same type of data that needs to be stored (i.e., likely).

We define two kinds of solutions for belief manipulation problems.

Also we define two kinds of α-p-proximal contractions and prove some best proximity point theorems.