Multiplex congruence network of natural numbers

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Multiplex congruence network of natural numbers

Congruence theory has many applications in physical, social, biological and technological systems. Congruence arithmetic has been a fundamental tool for data security and computer algebra. However, much less attention was devoted to the topological features of congruence relations among natural numbers. Here, we explore the congruence relations in the setting of a multiplex network and unveil s...

متن کامل

Congruence and Uniqueness of Certain Markoff Numbers

By making use of only simple facts about congruence, we first show that every even Markoff number is congruent to 2 modulo 32, and then establish the uniqueness for those Markoff numbers c where one of 3c − 2 and 3c + 2 is a prime power, 4 times a prime power, or 8 times a prime power.

متن کامل

Divisibility patterns of natural numbers on a complex network

Investigation of divisibility properties of natural numbers is one of the most important themes in the theory of numbers. Various tools have been developed over the centuries to discover and study the various patterns in the sequence of natural numbers in the context of divisibility. In the present paper, we study the divisibility of natural numbers using the framework of a growing complex netw...

متن کامل

Natural Numbers

In this article we present several logical schemes. The scheme NonUniqRecExD deals with a non empty set A, an element B of A, and a ternary predicate P, and states that: There exists a function f from N into A such that f(0) = B and for every element n of N holds P[n, f(n), f(n + 1)] provided the following condition is satisfied: • For every natural number n and for every element x of A there e...

متن کامل

Families and clustering in a natural numbers network.

We develop a network in which the natural numbers are the vertices. The decomposition of natural numbers by prime numbers is used to establish the connections. We perform data collapse and show that the degree distribution of these networks scales linearly with the number of vertices. We explore the families of vertices in connection with prime numbers decomposition. We compare the average dist...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Scientific Reports

سال: 2016

ISSN: 2045-2322

DOI: 10.1038/srep23714