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Wyszukujesz frazę "arithmetic" wg kryterium: Wszystkie pola


Tytuł:
A decomposition approach to type 2 interval arithmetic
Autorzy:
Piegat, Andrzej
Dobryakova, Larisa
Powiązania:
https://bibliotekanauki.pl/articles/330100.pdf
Data publikacji:
2020
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
multidimensional RDM interval arithmetic
type 2 interval arithmetic
RDM type 2 interval arithmetic
decomposition type 2 interval arithmetic
interval arithmetic
Opis:
The classic interval has precise borders A = [a, ā] . Therefore, it can be called a type 1 interval. Because of great practical importance of such interval data, several versions of type 1 interval arithmetic have been created. However, sometimes precise borders a and ā of intervals cannot be determined in practice. If the borders are uncertain, then we have to do with type 2 intervals. A type 2 interval can be denoted as AT2 = [aL, aR], [āL, āR]. The paper presents multidimensional decomposition RDM type 2 interval arithmetic (D-RDM-T2-I arithmetic), where RDM means relative-distance measure. The decomposition approach considerably simplifies calculations and is transparent for users. Apart from this arithmetic, examples of its applications are also presented. To the authors’ best knowledge, no papers on this arithmetic exist. D-RDM-T2-I arithmetic is necessary to create type 2 fuzzy arithmetic based on horizontal µ-cuts, which the authors aim to do.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2020, 30, 1; 185-201
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Is an interval the right result of arithmetic operations on intervals?
Autorzy:
Piegat, A.
Landowski, M.
Powiązania:
https://bibliotekanauki.pl/articles/330098.pdf
Data publikacji:
2017
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
interval arithmetic
one dimensional interval arithmetic
multidimensional interval arithmetic
RDM interval arithmetic
arytmetyka interwałowa
arytmetyka interwałowa jednowymiarowa
arytmetyka interwałowa wielowymiarowa
Opis:
For many scientists interval arithmetic (IA, I arithmetic) seems to be easy and simple. However, this is not true. Interval arithmetic is complicated. This is confirmed by the fact that, for years, new, alternative versions of this arithmetic have been created and published. These new versions tried to remove shortcomings and weaknesses of previously proposed options of the arithmetic, which decreased the prestige not only of interval arithmetic itself, but also of fuzzy arithmetic, which, to a great extent, is based on it. In our opinion, the main reason for the observed shortcomings of the present IA is the assumption that the direct result of arithmetic operations on intervals is also an interval. However, the interval is not a direct result but only a simplified representative (indicator) of the result. This hypothesis seems surprising, but investigations prove that it is true. The paper shows what conditions should be satisfied by the result of interval arithmetic operations to call it a “result”, how great its dimensionality is, how to perform arithmetic operations and solve equations. Examples illustrate the proposed method of interval computations.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2017, 27, 3; 575-590
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Arithmetic functions and weighted averages
Autorzy:
de Koninck, Jean-Marie
Grah, Jacques
Powiązania:
https://bibliotekanauki.pl/articles/965954.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
mean value of arithmetic functions
arithmetic functions
weighted averages
Źródło:
Colloquium Mathematicum; 1999, 79, 2; 249-272
0010-1354
Pojawia się w:
Colloquium Mathematicum
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Arithmetic euclidean rings
Autorzy:
Queen, Clifford
Powiązania:
https://bibliotekanauki.pl/articles/1393658.pdf
Data publikacji:
1974
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Źródło:
Acta Arithmetica; 1974-1975, 26, 1; 105-113
0065-1036
Pojawia się w:
Acta Arithmetica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Modified Distributed Arithmetic Concept for Implementations Targeted at Heterogeneous FPGAs
Autorzy:
Rawski, M.
Powiązania:
https://bibliotekanauki.pl/articles/226835.pdf
Data publikacji:
2010
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
distributed arithmetic
FPGA
heterogeneous programmable structures
Opis:
Distributed Arithmetic (DA) plays an important role in designing digital signal processing modules for FPGA architectures. It allows replacing multiply-and-accumulate (MAC) operations with combinational blocks. The quality of implementations based on DA strongly depends on efficiency of methods that map combinational DA block into FPGA resources. Since modern FPGAs have heterogeneous structure, there is a need for quality algorithms to target these structures and the need for flexible architecture exploration aiding in appropriate mapping. The paper presents a modification of DA concept that allows for very efficient implementation in heterogeneous FPGA architectures.
Źródło:
International Journal of Electronics and Telecommunications; 2010, 56, 4; 345-350
2300-1933
Pojawia się w:
International Journal of Electronics and Telecommunications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A Boolean encoding of arithmetic operations
Autorzy:
Zbrzezny, A.
Powiązania:
https://bibliotekanauki.pl/articles/121991.pdf
Data publikacji:
2010
Wydawca:
Uniwersytet Humanistyczno-Przyrodniczy im. Jana Długosza w Częstochowie. Wydawnictwo Uczelniane
Tematy:
Boolean encoding
algorithms
arithmetic operation
kodowanie Boolowskie
algorytmy
działania matematyczne
Opis:
In this paper we present algorithms for a Boolean encoding of four basic arithmetic operations on integer numbers: addition, subtraction, multiplication and division. Integer numbers are encoded in two's complement system as vectors of Boolean formulae, and arithmetic operations are faithfully encoded as operations on vectors of Boolean formulae.
Źródło:
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics; 2010, 15; 177-190
2450-9302
Pojawia się w:
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Arithmetic labelings and geometric labelings of countable graphs
Autorzy:
Vijayakumar, Gurusamy
Powiązania:
https://bibliotekanauki.pl/articles/744063.pdf
Data publikacji:
2010
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
arithmetic labeling of a graph
geometric labeling of a graph
Opis:
An injective map from the vertex set of a graph G-its order may not be finite-to the set of all natural numbers is called an arithmetic (a geometric) labeling of G if the map from the edge set which assigns to each edge the sum (product) of the numbers assigned to its ends by the former map, is injective and the range of the latter map forms an arithmetic (a geometric) progression. A graph is called arithmetic (geometric) if it admits an arithmetic (a geometric) labeling. In this article, we show that the two notions just mentioned are equivalent-i.e., a graph is arithmetic if and only if it is geometric.
Źródło:
Discussiones Mathematicae Graph Theory; 2010, 30, 4; 539-544
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Arithmetic progressions in sumsets
Autorzy:
Ruzsa, Imre
Powiązania:
https://bibliotekanauki.pl/articles/1391998.pdf
Data publikacji:
1991
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Opis:
1. Introduction. Let A,B ⊂ [1,N] be sets of integers, |A|=|B|=cN. Bourgain [2] proved that A+B always contains an arithmetic progression of length $exp(logN)^{1//3-ε}$. Our aim is to show that this is not very far from the best possible. Theorem 1. Let ε be a positive number. For every prime p > p₀(ε) there is a symmetric set A of residues mod p such that |A| > (1//2-ε)p and A + A contains no arithmetic progression of length (1.1)} $exp(log p)^{2//3+ε}$. A set of residues can be used to get a set of integers in an obvious way. Observe that the 1/2 in the theorem is optimal: if |A|>p//2, then A+A contains every residue. Acknowledgement. I profited much from discussions with E. Szemerédi; he directed my attention to this problem and to Bourgain's paper.
Źródło:
Acta Arithmetica; 1991-1992, 60, 2; 191-202
0065-1036
Pojawia się w:
Acta Arithmetica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Set arithmetic and the enclosing problem in dynamics
Autorzy:
Mrozek, Marian
Zgliczyński, Piotr
Powiązania:
https://bibliotekanauki.pl/articles/1207977.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
dynamical systems
interval arithmetic
rigorous numerical analysis
enclosing problem
Opis:
We study the enclosing problem for discrete and continuous dynamical systems in the context of computer assisted proofs. We review and compare the existing methods and emphasize the importance of developing a suitable set arithmetic for efficient algorithms solving the enclosing problem.
Źródło:
Annales Polonici Mathematici; 2000, 74, 1; 237-259
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On probabilistic bounds inspired by interval arithmetic
Autorzy:
Zilinskas, A.
Zilinskas, J.
Powiązania:
https://bibliotekanauki.pl/articles/969846.pdf
Data publikacji:
2010
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
global optimization
branch and bound method
randomized computing
interval arithmetic
Opis:
A randomized method aimed at evaluation of probabilistic bounds for function values is considered. Stochastic intervals tightly covering ranges of function values with probability close to one are modelled by a randomized method inspired by interval arithmetic. Statistical properties of the modelled intervals are investigated experimentally. The experimental results are discussed with respect to application of this method in the construction of a branch and bound type randomized algorithm for global optimization.
Źródło:
Control and Cybernetics; 2010, 39, 2; 507-525
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł

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