Basic Principles in Number Theory

Number Theory ◽  
2009 ◽  
pp. 1-15
Author(s):  
Titu Andreescu ◽  
Dorin Andrica
Keyword(s):  
Number Theory ◽  
Basic Principles

scholarly journals DESIGNING A MULTI-PRECISION NUMBER THEORY LIBRARY

2014 ◽  
pp. 44-48
Author(s):  
Catalin Hritcu ◽  
Iulian Goriac ◽  
Raluca Mihaela Gordan ◽  
Elena Erbiceanu
Keyword(s):  
Number Theory ◽  
Memory Management ◽  
High Performance ◽  
Number Representation ◽  
Algorithm Selection ◽  
Basic Principles ◽  
Work In Progress ◽  
Large Numbers

The aim of this paper is twofold. First, we present the basic principles and point out the main difficulties in writing a library supporting operations with arbitrarily large numbers. Aspects such as library structure, number representation, algorithm selection, memory management, etc., are discussed and exemplified on the most efficient libraries developed. Secondly, we present work in progress regarding the design of a new multi-precision library, MpNT. Comparisons between our library and the existing ones show that it achieves high performance.

Basic Principles in Number Theory

Number Theory ◽  
2009 ◽  
pp. 1-12
Author(s):  
Titu Andreescu ◽  
Dorin Andrica
Keyword(s):  
Number Theory ◽  
Basic Principles

Current Issues: Evidence-Based Practice for the Real World: Thoughts on Clinical Education in Communication Disorders

2010 ◽  
Vol 20 (3) ◽  
pp. 100-105 ◽  
Author(s):  
Anne K. Bothe
Keyword(s):  
Clinical Education ◽  
Real World ◽  
Evidence Based Practice ◽  
Communication Disorders ◽  
University Faculty ◽  
Evidence Based ◽  
Speech Language Pathology ◽  
Basic Principles ◽  
The Real ◽  
Language Pathology

This article presents some streamlined and intentionally oversimplified ideas about educating future communication disorders professionals to use some of the most basic principles of evidence-based practice. Working from a popular five-step approach, modifications are suggested that may make the ideas more accessible, and therefore more useful, for university faculty, other supervisors, and future professionals in speech-language pathology, audiology, and related fields.

Multiplicative Number Theory I

2006 ◽  
Author(s):  
Hugh L. Montgomery ◽  
Robert C. Vaughan
Keyword(s):  
Number Theory

Mathematical proof that rocked number theory will be published

Nature ◽  
2020 ◽  
Vol 580 (7802) ◽  
pp. 177-177
Author(s):  
Davide Castelvecchi
Keyword(s):  
Number Theory ◽  
Mathematical Proof
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