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Since no fusion theory neither rule fully satisfy all needed applications, the author proposes a Unification of Fusion Theories and a combination of fusion rules in solving problems/applications. For each particular application, one selects…

Artificial Intelligence · Computer Science 2007-05-23 Florentin Smarandache

Today's world of scientific software for High Energy Physics (HEP) is powered by x86 code, while the future will be much more reliant on accelerators like GPUs and FPGAs. The portable parallelization strategies (PPS) project of the High…

The given work describes methodological principles of design instrumental complex of ontological purpose. Instrumental complex intends for the implementation of the integrated information technologies automated build of domain ontologies.…

Artificial Intelligence · Computer Science 2018-03-28 A. V. Palagin , N. G. Petrenko , V. Yu. Velychko , K. S. Malakhov , Yu. L. Tikhonov

We survey some general-purpose symbolic software packages that implement algorithms from enumerative and analytic combinatorics. Software for the following areas is covered: basic combinatorial objects, symbolic combinatorics, P\'olya…

Mathematical Software · Computer Science 2016-01-13 Andrew MacFie

The ongoing digital transformation in industry applies to all product life cycle's stages. The design decisions and dimensioning carried out in the early conceptual design stages determine a huge part of the product's life cycle costs…

Software Engineering · Computer Science 2020-03-19 Samuel Vogel , Peter Arnold

This new long version of my 1983 paper suggests the goals you might have for your system -- Simple, Timely, Efficient, Adaptable, Dependable, Yummy (STEADY) -- and techniques for achieving them -- Approximate, Incremental, Divide & Conquer…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-23 Butler Lampson

Universal geometric calculus simplifies and unifies the structure and notation of mathematics for all of science and engineering, and for technological applications. This paper treats the fundamentals of the multivector differential…

History and Overview · Mathematics 2013-06-11 Eckhard Hitzer

Developers who primarily engage with software often struggle to incorporate custom hardware into their applications, even though specialized silicon can provide substantial benefits to machine learning and AI, as well as to the application…

Hardware Architecture · Computer Science 2025-12-12 Jeongeun Kim , Christopher Torng

Matching logic is a logical framework for specifying and reasoning about programs using pattern matching semantics. A pattern is made up of a number of structural components and constraints. Structural components are syntactically matched,…

Logic in Computer Science · Computer Science 2024-11-01 Ádám Kurucz , Péter Bereczky , Dániel Horpácsi

A coherent mathematical overview of computation and its generalisations is described. This conceptual framework is sufficient to comfortably host a wide range of contemporary thinking on embodied computation and its models.

Logic in Computer Science · Computer Science 2013-03-12 S. Barry Cooper

The Unified Modeling Language (UML) is commonly used in introductory Computer Science to teach basic object-oriented design. However, there appears to be a lack of suitable software to support this task. Many of the available programs that…

Human-Computer Interaction · Computer Science 2007-05-23 Scott Turner , Manuel A. Perez-Quinones , Stephen H. Edwards

The aim of the paper is to examine the computational complexity and algorithmics of enumeration, the task to output all solutions of a given problem, from the point of view of parameterized complexity. First we define formally different…

Computational Complexity · Computer Science 2013-06-11 Nadia Creignou , Arne Meier , Julian-Steffen Müller , Johannes Schmidt , Heribert Vollmer

The development of quantum computing technologies builds on the unique features of quantum physics while borrowing familiar principles from the design of conventional devices. We introduce the fundamental concepts required for designing and…

MADNESS (multiresolution adaptive numerical environment for scientific simulation) is a high-level software environment for solving integral and differential equations in many dimensions that uses adaptive and fast harmonic analysis methods…

Modern cyber-physical systems (CPS) have a close inter-dependence between software and physical components. Automotive embedded systems are typical CPS, as physical chips, sensors and actuators are physical components and software embedded…

Software Engineering · Computer Science 2016-03-17 Yuchen Zhou , John Baras , Shige Wang

We summarise some of the key statements made at the workshop Form Follows Function at ISC High Performance 2016. The summary highlights what type of co-design the presented projects experience; often in the absence of an explicit co-design…

Mathematical Software · Computer Science 2016-07-12 Tobias Weinzierl

Over the last decades, a class of important mathematical results have required an ever increasing amount of human effort to carry out. For some, the help of computers is now indispensable. We analyze the implications of this trend towards…

Mathematical Software · Computer Science 2019-10-23 Jacques Carette , William M. Farmer , Michael Kohlhase , Florian Rabe

A concept of "evolving categories" is suggested to build a simple, scalable, mathematically consistent framework for representing in uniform way both data and algorithms. A state machine for executing algorithms becomes clear, rich and…

Data Structures and Algorithms · Computer Science 2007-05-23 Evgeny Yanenko

Full formal descriptions of algorithms making use of quantum principles must take into account both quantum and classical computing components, as well as communications between these components. Moreover, to model concurrent and…

Quantum Physics · Physics 2007-05-23 Marie Lalire

In the framework of idempotent mathematics, analogs of the classical kernel theorems of L. Schwartz and A. Grothendieck are studied. Idempotent versions of nuclear spaces (in the sense of A. Grothendieck) are discussed. The so-called…

Functional Analysis · Mathematics 2007-05-23 G. L. Litvinov , G. B. Shpiz