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1. This paper provided the distributive law of odd primes in the natural numbers. 2. Given a mathematical model of two opposite directional sequences of natural numbers: ︳Omin ,…,…,…,Omax ︳ ︳Omax ,…, ...
Find out the distributive law of primes in the natural numbers. By means of the distributive law of primes we show that even numbers 2x≥6 can be expressed as the sum of two primes.
Frictionless atom cooling in harmonic traps is formulated as a time-optimal control problem and a synthesis of optimal controlled trajectories is obtained.
We study the Toeplitz algebra T (N N×) and three quotients of this algebra: the C-algebra QN recntly introduced by Cuntz, and two new ones, which we call the additive and multiplicative bound...
In this article, we first state some relations about the number of partitions of a set under some particular conditions and then we give a new relation about the number of partitions of an n-set, i.e....

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