Results 211 to 220 of about 11,354,844 (246)

Prime Numbers and Highly Composite Numbers

2012
In 1915, Ramanujan wrote a long paper on “highly composite numbers.” This paper gives us a general method to analyse the growth of arithmetic functions. It is curious that this paper finds no discussion in Hardy’s “Twelve lectures.” In hindsight, we learn that the theory has a rich structure as well as interplay with other parts of number theory ...
M. Ram Murty, V. Kumar Murty
openaire   +2 more sources

A Methodology for Sensor Number and Placement Optimization for Vibration-Based Damage Detection of Composite Structures under Model Uncertainty

Composite structures, 2021
Haichao An, B. Youn, Heung Soo Kim
semanticscholar   +1 more source

Formation of Triple-Shelled Molybdenum-Polydopamine Hollow Spheres and Their Conversion into MoO2 /Carbon Composite Hollow Spheres for Lithium-Ion Batteries.

Angewandte Chemie, 2016
Unique triple-shelled Mo-polydopamine (Mo-PDA) hollow spheres are synthesized through a facile solvothermal process. A sequential self-templating mechanism for the multi-shell formation is proposed, and the number of shells can be adjusted by tuning the ...
Yawen Wang, Le Yu, X. Lou
semanticscholar   +1 more source

Composition of Number Fields

1998
If K is the compositum of two number fields k 1 and k 2 then the discriminant of K is divisible by all those rational prime numbers which divide the discriminant of k 1 or the discriminant of k 2 or both and only by those prime numbers.
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Complete compositions of a natural number

Quaestiones Mathematicae, 2006
An alternative proof is given for the recently established fact that approximately one half of all compositions of a natural number are complete.Keywords: composition, generating functionQuaestiones Mathematicae 29(2006), 229 ...
openaire   +3 more sources

The Emergence of Additive Composition of Number

Educational Psychology, 1998
Two competences have been used to infer a grasp of additive composition of number, They are rearranging quantities to solve arithmetic word problems and constructing amounts with coins of different denominations in shopping tasks. The use of a counting-on strategy to solve addition problems has been suggested to be a precursor of additive composition ...
Antonio Martins‐Mourão, Richard Cowan
openaire   +2 more sources

On the Fibonacci numbers of the composition of graphs

Discrete Applied Mathematics, 2019
Abstract Let G = ( V , E ) be a graph. A subset S of V is said to be independent if for every two vertices u , v ∈ S there is no edge between them. The Fibonacci number of a graph G is the total number of independent vertex sets of G .
Hortensia Galeana-Sánchez, Loiret Alejandría Dosal-Trujillo   +1 more
openaire   +1 more source

How to securely outsource the inversion modulo a large composite number

Journal of Systems and Software, 2017
Qianqian Su, Jia Yu, Chengliang Tian, Hanlin Zhang, Rong Hao   +4 more
semanticscholar   +1 more source

An Identity-based Identification Scheme Based on Discrete Logarithms Modulo a Composite Number

International Conference on the Theory and Application of Cryptographic Techniques, 1991
M. Girault
semanticscholar   +1 more source

Composite Separators for Robust High Rate Lithium Ion Batteries

Advanced Functional Materials, 2021
Chuan Xia, Jiecai Han, Weidong He
exaly