Sentence examples for first kind and of the second from inspiring English sources

3.2 Haagerup-like tensor products of the first kind and of the second kind.

In this paper, we consider Barnes-type Daehee polynomials of the first kind and of the second kind.

In this paper, we introduce new q-analogs of the Changhee numbers and polynomials of the first kind and of the second kind.

When (x=0), (B_{n}=B_{n}(0)) and (b_{n}=b_{n}(0)) are the Bernoulli numbers of the first kind and of the second kind, respectively.

end{aligned} Next, one shows several recurrences for the sequence of poly-Cauchy polynomials with a q parameter of the first kind and of the second kind.

We define new tensor products and call them Haagerup-like tensor products of the first kind and of the second kind.

Two wave types are considered, namely, compressional wave of the first kind, and the second kind.

Indeed, a set of second kind always contains a set of second kind; hence a set of sets of first kind must be of first kind.

Indeed, they expressly forbid the existence of perpetual motion machines of the first kind (the first law) and the second kind (the second law).

The second kind was prepared by carbonization of the first kind of functionalized graphene sheets at higher temperature in N2.

Integration by the arithmetic sequence (The first kind of solution).