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Oct 12, 2018Open AccessArticle
A ring R is said to be a right (left) semi πregular local ring if and only if for all a in R, either a or ( ...
Jun 07, 2018Open AccessArticle
The understanding of the unique replication facts of living things helps us to discover the basic law of the life world: the law of selfreplication. This law reveals the root causes of life arising and lays the foundation stone for life science. From now on, what is a living thing, what does life mean? There has been a standard (the definition).
Dec 20, 2017Open AccessArticle
We introduce a derivative of a relation over the ring of integers modulo an odd number which is based on the very fundamental concepts which helped in the evolution of derivative of a function over the real number field, namely slope. Then, for a prime field GF(p ...
May 15, 2017Open AccessArticle
In this article, starting from geometrical considerations, he was born with the idea of 3D matrices, which have developed in this article. A problem here was the definition of multiplication, which we have given in analogy with the usual 2D matrices. The goal here is 3D matrices to be a generalization of 2D matrices. Work initially we started with 3×3×3 matrix, and then we extended to m×n×p matrices. In this article, we give the meaning of 3D matrices. We als...
Aug 23, 2016Open AccessArticle
We prove that e＋π is a transcendental number. We use
proof by contradiction. The key to solve the problem is to establish a function
that doesn’t satisfy the relational expression that we derive, thereby produce
a conflicting result which can verify our assumption is incorrect.
Jun 25, 2015Open AccessArticle
Some special matrices can really help us to construct more than two
mutually unbiased maximally entangled bases in C^{2}C^{4}. Through detailed
analysis of the necessary and sufficient conditions of two maximally entangled
bases to be mutually unbiased, we find these special matrices. Taking one such
kind of matrix, we present the steps of constructing five mutually unbia...
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