Let ?be a compact Finsler manifold of hyperbolic type, and ?be its universal Finslerian covering. In this paper we show that the growth function of the volume o
In the paper N0II, we describe some isomorphism classes and we apply their properties to the study of five crystal families of space E5. The names of these fami
In 1980 F. Wattenberg constructed the Dedekind completion *Rd of the Robinson non-archimedean field *R and established basic algebraic properties of *Rd. In 198
Around 1945, Alfred Tarski proposed several questions concerning the elementary theory of non-abelian free groups. These remained open for 60 years until they w
Let R be a commutative ring with 1, and M is a (left) R-module. We introduce the concept of coprimarily packed submodules as a proper submodule N of an R-module
In this paper, we present a new method, a mixture of homotopy perturbation method and a new integral transform to solve some nonlinear partial differential equa
The Banach frame for a Banach space X can reconstruct each vector in X by the pre-frame operator or the reconstruction operator. The Banach Λ-frame for operato
The main design of this paper is to determine once and for all the true nature and status of the sequence of the prime numbers, or primes—that is, 2, 3, 5, 7,