Number theoretic algorithms

Ebook BigNum math: Implementing cryptographic multiple precision arithmetic presents the following content: Chapter 1 introduction, chapter 2 getting started, chapter 3 basic operations, chapter 4 basic arithmetic, chapter 5 multiplication and squaring, chapter 6 modular reduction, chapter 7 exponentiation, chapter 8 higher level algorithms, chapter 9 number theoretic algorithms.

315p zizaybay1103 29-05-2024 3 2   Download

Ebook "Complexity of Algorithms" contains 14 chapters, includes: Chapter 0 introduction and preliminaries, chapter 1 models of computation, chapter 2 algorithmic decidability, chapter 3 computation with resource bounds, chapter 4 general theorems on space and time complexity, chapter 5 non-deterministic algorithms, chapter 6 randomized algorithms, chapter 7 information complexity: the complexity-theoretic notion of randomness, chapter 8 pseudo-random numbers, chapter 9 parallel algorithms, chapter 10 decision trees, chapter 11 communication complexity, chapter 12 the complexity of algebraic...

180p haojiubujain08 01-11-2023 6 2   Download

In astrophysics, we can study physical properties of stars by analyzing their spectra and building theoretical models of stellar structure. In this report "Study of physical properties of main – Sequence stars, we have used the CLEA program to classify stellar spectra and determine the physical properties of a number of main-sequence stars. Furthermore, we have used a numerical algorithm and a FORTRAN program to study theoretical models of stellar structure.

8p runordie2 07-06-2022 16 2   Download

Advanced Algorithms Analysis and Design - Lecture 38: Number theoretic algorithms (Definitions and some important results). In this lecture we will cover the following: applications of number theory; divisibility; numbers; prime numbers; relatively prime numbers; GCD; partitioning of Integers; congruency classes; proofs of some results;...

38p andromedashun 26-05-2022 8 1   Download

Advanced Algorithms Analysis and Design - Lecture 39: Number theoretic algorithms (Theorems and algorithms). In this lecture we will cover the following: some more proofs; GCD as a linear combination; finding GCD, a recursive theorem; Euclid’s algorithm; extended Euclid’s algorithm; time complexity of Euclid’s algorithm;...

36p andromedashun 26-05-2022 16 1   Download

Advanced Algorithms Analysis and Design - Lecture 45: Review lecture. In this lecture, we will review the knowledge about: model of computation; mathematical tools; asymptotic notations; dynamic programming; chain-matrix multiplication; Greedy algorithms; Graph theoretic algorithms; number theoretic algorithms;...

30p andromedashun 26-05-2022 8 1   Download

This paper presented a combined theoretical and experimental design methods to determine optimal parameters of a centrifugal pendulum vibration absorber (CPVAs), such as spring stiffness, damper oil viscosity, moment of uinertia of the system components, number of absorbers and assembly position. First, the system of equations of motion of the CPVA was established and solved using Finite Element method (FEM) and Runge-Kutta algorithm (RKA).

7p chauchaungayxua11 23-03-2021 10 2   Download

This paper presented a method to reduce the torsional vibration of a shaft system with dynamic vibration absorber (DVA). A theoretical method was introduced to determine optimal parameters of the DVA, which included spring stiffness, viscous coefficient of damper, mass moment of inertia of the absorber, number, and radial position of springs and dampers. First, system equations of motion of the shaft and the DVA were elaborated using Finite Element method (FEM) and solved by Runge-Kutta algorithm to find the torsional vibration response.

6p chauchaungayxua11 23-03-2021 12 1   Download

The field of packet classification speed enhancement has attracted a significant number of researchers. In this paper, we propose a packet classification algorithm based on the idea of priority trie and multi-way trie. The accuracy and efficiency of the proposed algorithm are both theoretically and experimentally proved.

15p thuyliebe 04-10-2018 27 0   Download

Problems of machine translation have been investigated in the Soviet Union since 1955.1 A number of groups are carrying out theoretical and experimental work in the area of machine translation. In the Institute of Precision Mechanics and Computer Technology of the Academy of Sciences of the USSR (ITM and VT) dictionaries and codes of rules (algorithms) have been compiled for machine translation from English, Chinese, and Japanese into Russian; and a GermanRussian algorithm is being worked out.

0p nghetay_1 06-04-2013 63 1   Download

This book contains 104 of the best problems used in the training and testing of the U.S. International Mathematical Olympiad (IMO) team. It is not a collection of very difficult, and impenetrable questions. Rather, the book gradually builds students’ number-theoretic skills and techniques. The first chapter provides a comprehensive introduction to number theory and its mathematical structures. This chapter can serve as a textbook for a short course in number theory.

213p retcl83 28-02-2013 120 36   Download

Yagle, A.E. “Fast Matrix Computations” Digital Signal Processing Handbook Ed. Vijay K. Madisetti and Douglas B. Williams Boca Raton: CRC Press LLC, 1999 c 1999 by CRC Press LLC .10 Fast Matrix Computations 10.1 Introduction 10.2 Divide-and-Conquer Fast Matrix Multiplication Strassen Algorithm • Divide-and-Conquer • Arbitrary Precision Approximation (APA) Algorithms • Number Theoretic Transform (NTT) Based Algorithms Overview • The Wavelet Transform • Wavelet Representations of Integral Operators • Heuristic Interpretation of Wavelet Sparsification 10.

10p longmontran 18-01-2010 95 11   Download

Overlap-Add and Overlap-Save Methods for Fast Convolution 8.3 8.4 Block Convolution Block Recursion Overlap-Add • Overlap-Save • Use of the Overlap Methods Short and Medium Length Convolution The Toom-Cook Method • Cyclic Convolution • Winograd Short Convolution Algorithm • The Agarwal-Cooley Algorithm • The Split-Nesting Algorithm 8.5 8.6 8.7 8.8 Multirate Methods for Running Convolution Convolution in Subbands Distributed Arithmetic Multiplication is Convolution • Convolution is Two Dimensional • Distributed Arithmetic by Table Lookup Ivan W.

22p longmontran 18-01-2010 86 12   Download