From the Publisher:
A valuable reference for the novice as well as for the expert who needs a wider scope of coverage within the area of cryptography, this book provides easy and rapid access of information and includes more than 200 algorithms and protocols; more than 200 tables and figures; more than 1,000 numbered definitions, facts, examples, notes, and remarks; and over 1,250 significant references, including brief comments on each paper.

Handbook of Applied Cryptography

The LambertW function is defined to be the multivalued inverse of the functionw →we

 w
 . It has many applications in pure and applied mathematics, some of which are briefly described here. We present a new discussion of the complex branches ofW, an asymptotic expansion valid for all branches, an efficient numerical procedure for evaluating the function to arbitrary precision, and a method for the symbolic integration of expressions containingW.

On the Lambert W function

The unreasonable effectiveness of quantum computing is founded on coherent quantum superposition or entanglement which allows a large number of calculations to be performed simultaneously. This coherence is lost as a quantum system interacts with its environment. In the present paper the problem of finding quantum-error-correcting codes is transformed into one of finding additive codes over the field GF(4) which are self-orthogonal with respect to a certain trace inner product. Many new codes and new bounds are presented, as well as a table of upper and lower bounds on such codes of length up to 30 qubits.

/pdf/quantum-error-correction-via-codes-over-gf-4-1wt6jfx5yh.pdf

Quantum error correction via codes over GF(4)

1. Introduction 2. Background 3. Performance evaluation process algebra 4. Modelling study: multi-server multi-queue systems 5. Notions of equivalence 6. Isomorphism and weak isomorphism 7. Strong bisimilarity 8. Strong equivalence 9. Conclusions Bibliography Index.

/pdf/a-compositional-approach-to-performance-modelling-4ybheka1a7.pdf

A Compositional Approach to Performance Modelling

https://www-polsys.lip6.fr/~jcf/Papers/F99a.pdf

A new efficient algorithm for computing Gröbner bases (F4)

An interactive system for symbolic computation, Maple was developed to perform hundreds of functions for use at all mathematical levels. This manual describes all of the functions that are available in the Maple library which is where the code for over 95% of Maple's mathematical knowledge and expertise resides. Through the library, the Maple system and the algorithms that it use can be dynamically extended and customized. Each description of the Maple library routines includes a short explanation of the function, the parameters that it uses, and additional details about the function. The design and implementation of the Maple system is an on-going project of the Symbolic Computation Group at the University of Waterloo. The Maple Symbolic Computation System is currently being used at over 1000 sites worldwide. An accompanying manual, the "Maple Language Reference Manual", which describes the Maple language and the Maple system itself is currently in preperation. This reference book on mathematics, physics/astronomy, engineering and computer science is intended for mathematicians, computer scientists and physicists.

Maple V Library Reference Manual

This tutorial shows how to use Maple both as a calculator with instant access to hundreds of high-level math routines and as a programming language for more demanding tasks. It covers topics such as the basic data types and statements in the Maple language. It explains the differences between numeric computation and symbolic computation and illustrates how both are used in Maple. Extensive "how-to" examples are used throughout the tutorial to show how common types of calculations can be expressed easily in Maple. The manual also uses many graphics examples to illustrate the way in which 2D and 3D graphics can aid in understanding the behavior of functions.

First Leaves: A Tutorial Introduction to Maple V

This manual describes all the functions available in the Maple library. The library is where the code for over 95% of Maple’s mathematical knowledge and expertise resides. The library routines are available for your inspection, study, and when appropriate, modification and extension. Each of these routines is written in the Maple programming language. Through the library, the Maple system and the algorithms that it uses can be dynamically extended and customized.

The Maple Library

Maple runs on many types of computer systems. Macintosh, DOS (with or without MS Windows), Unix (with or without the X Window System), SunView, NeXT, IBM CMS, and DEC VMS are some that Maple runs on. Nevertheless, all versions of Maple use essentially the same internal programming to perform the mathematical calculations. This part of Maple is known as the computational engine or algebra engine.

Interactive Use of Maple

We have already seen many examples of two key elements of Maple’s programming language, the expression statement (a command or expression) and the assignment statement.

Benton Leong

Papers

Maple V Library Reference Manual

First Leaves: A Tutorial Introduction to Maple V

The Maple Library

Interactive Use of Maple

The Maple Programming Language