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Tytuł:
A realistic tolerant solution of a system of interval linear equations with the use of multidimensional interval arithmetic
Autorzy:
Piegat, Andrzej
Pluciński, Marcin
Powiązania:
https://bibliotekanauki.pl/articles/11542697.pdf
Data publikacji:
2023
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
interval arithmetic
interval linear equation
tolerable solution
multidimensional interval arithmetic
arytmetyka interwałowa
równanie liniowe przedziałowe
arytmetyka interwałowa wielowymiarowa
Opis:
The paper presents a method of determining the robustness of solutions of systems of interval linear equations (ILEs). The method can be applied also for the ILE systems for which it has been impossible to find solutions so far or for which solutions in the form of improper intervals have been obtained (which cannot be implemented in practice). The research conducted by the authors has shown that for many problems it is impossible to arrive at ideal solutions that would be fully robust to data uncertainty. However, partially robust solutions can be obtained, and those with the highest robustness can be selected and put into practice. The paper shows that the degree of robustness to the uncertainty of the entire system can be calculated on the basis of the degrees of robustness of individual equations, which greatly simplifies calculations. The presented method is illustrated with a series of examples (also benchmark ones) that facilitate its understanding. It is an extension of the authors’ previously published method for first-order ILEs.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2023, 33, 2; 229--247
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Comparison of heat transfer phenomena for two different cryopreservation methods : slow freezing and vitrification
Autorzy:
Skorupa, Anna
Piasecka-Belkhayat, Alicja
Powiązania:
https://bibliotekanauki.pl/articles/2202057.pdf
Data publikacji:
2023
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
cryopreservation
slow freezing
vitrification
phase change
finite difference method
directed interval arithmetic
kriokonserwacja
powolne zamrażanie
witryfikacja
przemiana fazowa
metoda różnic skończonych
arytmetyka przedziałów skierowanych
Opis:
The purpose of the research is to prepare a mathematical and numerical model for the phenomenon of heat transfer during cryopreservation. In the paper, two popular methods, slow freezing and vitrification, are compared. Furthermore, the basic model of thermal processes is supplemented by the phenomenon of phase transitions. To determine the temperature distribution during cryopreservation processes, one uses the heat transfer equation proposed by Pennes. An integral part of the energy equation is the substitute thermal capacity (STC) performed according to the concept named one domain method (fixed domain method), The numerical model is developed using the finite difference method (FDM) connected with directed interval arithmetic. The final part of the article contains the results of numerical simulations.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2023, 22, 1; 57--69
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Granular computational homogenisation of composite structures with imprecise parameters
Autorzy:
Beluch, W.
Hatłas, M.
Ptaszny, J.
Powiązania:
https://bibliotekanauki.pl/articles/38696696.pdf
Data publikacji:
2023
Wydawca:
Instytut Podstawowych Problemów Techniki PAN
Tematy:
computational homogenisation
granular computations
fuzzy number
directed interval arithmetic
response surface
finite element method
Opis:
The paper presents the formulation of a granular computational homogenisation problem and the proposition of a method to solve it, which enables multiscale analysis of materials with uncertain microstructure parameters. The material parameters and the geometry, represented by the interval and fuzzy numbers, are assumed to be unprecise. An _-cut representation of fuzzy numbers allows the use of interval arithmetic for epistemic uncertainties. Directed interval arithmetic is used to reduce the effect of interval widening during arithmetic operations. Response surfaces of diverse types, including Artificial Neural Networks, are used as model reduction methods. The finite element method is employed to solve the boundary value problem on a micro scale. Numerical examples are provided to demonstrate the effectiveness of the proposed approach.
Źródło:
Archives of Mechanics; 2023, 75, 3; 271-300
0373-2029
Pojawia się w:
Archives of Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Realization of multiplexer logic-based 2-D block firfilter using distributed arithmetic
Autorzy:
Chowdari, Ch. Pratyusha
Seventline, J. Beatrice
Powiązania:
https://bibliotekanauki.pl/articles/38699398.pdf
Data publikacji:
2023
Wydawca:
Instytut Podstawowych Problemów Techniki PAN
Tematy:
2-D FIR filter
switching-based LUT
distributed arithmetic
block processing
2-D FIR filtr
arytmetyka rozproszona
przetwarzanie blokowe
Opis:
This paper presents a novel systolic two-dimensional (2D) block finite impulse response(FIR) filter architecture using a distributed arithmetic (DA)-based multiplexer look-uptable (DA-MUX-LUT). The proposed DA-MUX-LUT architecture computes the instan-taneous partial-product using the bit vector. The switching-based LUT replaces memory-based structures and reduces hardware complexity. Block processing allows memory reuse,which reduces the number of registers to store the previous input samples. Parallel addersare substituted by a modified carry look-ahead adder (MCLA), which minimizes the delay.Moreover, a resource-sharing concept is introduced to the DA-MUX-LUT block that drastically reduces the adder requirement. The application specific integrated circuit (ASIC)synthesis results show that the proposed DA-MUX-LUT-based 2-D block FIR filter forfilter size 8x8 and block size 4 has 31.22% less delay, 28.66% less area-delay product(ADP), 37.70% less power-delay product (PDP), and occupies almost the same area thanthe existing architecture.
Źródło:
Computer Assisted Methods in Engineering and Science; 2023, 30, 1; 89-103
2299-3649
Pojawia się w:
Computer Assisted Methods in Engineering and Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Assessment of WQI for the Al-Jubalia Water Treatment Plant
Autorzy:
Naeem, Saja M.
Al Chalabi, Ahmed S.
Al-Marj, Ohood K.
Powiązania:
https://bibliotekanauki.pl/articles/2202124.pdf
Data publikacji:
2022
Wydawca:
Polskie Towarzystwo Inżynierii Ekologicznej
Tematy:
WQI
Al-Jubalia
WTP
weight arithmetic index method
relative white
WHO
Iraqi standard
drinking water
Opis:
The water quality index is an effective tool for determining water quality. All water treatment plants in the Basrah governorate source their water from the Shatt al-Arab River. A water quality index (WQI) for both raw and treated water for the Al-Jubalia water treatment plant is obtained in order to assess its acceptability as a source of residential water supply and the performance of water treatment facilities. From January to December 2019, the physicochemical parameters were observed for the calculation of WQI for the annual and four seasons: winter, spring, summer, and autumn. The pH, turbidity, electric conductivity, total alkalinity, total hardness, Ca, Mg, Cl, SO4, TDS, Na, and K are the parameters that were considered in this study. In winter, spring, and summer, the results show that raw and treated water were unsuitable for home, industrial, and irrigation needs. In autumn, only the treated water was classified as good water according to WQI categories. As a result, the quality of the Al-Jubalia WTP treated water supply is unfit for human consumption.
Źródło:
Journal of Ecological Engineering; 2022, 23, 10; 216--228
2299-8993
Pojawia się w:
Journal of Ecological Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An Arithmetically Complete Predicate Modal Logic
Autorzy:
Hao, Yunge
Tourlakis, George
Powiązania:
https://bibliotekanauki.pl/articles/2033850.pdf
Data publikacji:
2021-08-23
Wydawca:
Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:
Predicate modal logic
arithmetic completeness
logic GL
Solovay's theorem
equational proofs
Opis:
This paper investigates a first-order extension of GL called \(\textup{ML}^3\). We outline briefly the history that led to \(\textup{ML}^3\), its key properties and some of its toolbox: the \emph{conservation theorem}, its cut-free Gentzenisation, the ``formulators'' tool. Its semantic completeness (with respect to finite reverse well-founded Kripke models) is fully stated in the current paper and the proof is retold here. Applying the Solovay technique to those models the present paper establishes its main result, namely, that \(\textup{ML}^3\) is arithmetically complete. As expanded below, \(\textup{ML}^3\) is a first-order modal logic that along with its built-in ability to simulate general classical first-order provability―"\(\Box\)" simulating the the informal classical "\(\vdash\)"―is also arithmetically complete in the Solovay sense.
Źródło:
Bulletin of the Section of Logic; 2021, 50, 4; 513-541
0138-0680
2449-836X
Pojawia się w:
Bulletin of the Section of Logic
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An assessment of water quality temporal variation in Sri Jayawardenapura Kotte canal, Sri Lanka
Autorzy:
Nishanthi, K.
Dushanan, R.
Mathanraj, S.
Priyadharshini, C.
Powiązania:
https://bibliotekanauki.pl/articles/1839859.pdf
Data publikacji:
2021
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
Water quality
WQI
COD
Weighted Arithmetic Index
Sri Jayawardenapura Kotte canal
Opis:
Assessment of temporal variation of the water quality is an essential aspect of evaluating temporary changes in a water body caused by natural or artificial contributions. The study aims to assess the water quality temporal variation and the water quality index over the year from 2010 to 2019. Water sampling was carried out near the bridge of the Kotte canal. Water quality parameters such as pH, electrical conductivity (EC), temperature, dissolved oxygen (DO), ammonia, nitrate, phosphate, and chemical oxygen demand (COD) were determined to assess the quality of water at different periods. It has been calculated based on the standard of the central environmental authority of Sri Lanka. The weighted arithmetic index method has been used to calculate the water quality index. The water quality index of the study area was recorded as good (33.60760) in 2010 and poor in 2013 (56.95663), 2016 (52.37269), and 2019 (69.04417). The study revealed that the water temperature in the canal fluctuates with the time and climate of the area. The EC of the water is registered within the reference range. However, pH, COD, DO, and ammonia are the main water parameters deviating from the reference range. It is observed that the leading causes of the deterioration of water quality are human activities, the illegal discharge of sewage and industrial wastewater, the lack of adequate sanitation facilities, and urban runoff.
Źródło:
World News of Natural Sciences; 2021, 38; 139-157
2543-5426
Pojawia się w:
World News of Natural Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Arytmetyka finansowa dla studentów wydziałów inżynierskich politechniki łódzkiej. Doświadczenia po dwóch latach prowadzenia przedmiotu
Financial arithmetic for students of engineering departments of the Lodz University of Technology. Experience after two years of teaching the course
Autorzy:
Długosz, Renata
Lindner, Monika
Powiązania:
https://bibliotekanauki.pl/articles/2031502.pdf
Data publikacji:
2021
Wydawca:
Politechnika Gdańska. Wydział Elektrotechniki i Automatyki
Tematy:
arytmetyka finansowa
nauka zdalna
Excel
financial arithmetic
remote education
Opis:
W artykule omówiono doświadczenia z dwóch lat prowadzenia przedmiotu „Arytmetyka finansowa” dla studentów wybranych kierunków na Wydziale Budownictwa, Architektury i Inżynierii Środowiska Politechniki Łódzkiej. Przedstawiono trudności i pomysły na ich przezwyciężenie, przede wszystkim w kontekście pracy zdalnej. Podano sposoby motywowania studentów pokolenia Z (ery cyfrowej) do aktywnego udziału w procesie zdalnego uczenia się.
In the article the experience of two years of teaching the "Financial Arithmetic" course for students of selected faculties at the Faculty of Civil Engineering, Architecture and Environmental Engineering of the Łódź University of Technology is discussed. The authors were teaching this subject for two consecutive years. Due to the pandemic, the learning was conducted remotely. This resulted in many additional difficulties, including keeping students engaged and fair verification of their achievements. On the other hand, the fact that each of the students had their own computer with an accessible spreadsheet let the teachers to expand the practical part significantly. In the article difficulties and ideas for overcoming them were presented, mainly in the context of remote work. Some ways of motivating students of "Z generation" to actively participate in the process were given. Between them the project of the construction of student's own business plan was tested and described. The last part of the article presents plans for future improvements.
Źródło:
Zeszyty Naukowe Wydziału Elektrotechniki i Automatyki Politechniki Gdańskiej; 2021, 72; 29-32
1425-5766
2353-1290
Pojawia się w:
Zeszyty Naukowe Wydziału Elektrotechniki i Automatyki Politechniki Gdańskiej
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
High Performance DIF-FFT Using Dissimilar Partitioned LUT Based Distributed Arithmetic
Autorzy:
Cheepurupalli, Kusma Kumari
Charan, Muntha
Rao, Jammu Bhaskara
Noor, Mahammad S.
Powiązania:
https://bibliotekanauki.pl/articles/2055270.pdf
Data publikacji:
2021
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
fast Fourier transform
adders
distributed arithmetic
DSP
Opis:
Real-time data processing systems utilize Digital Signal Processing (DSP) functions as the base modules. Most of the DSP functions involve the implementation of Fast Fourier Transform (FFT) to convert the signals from one domain to another domain. The major bottleneck of Decimation in frequency - Fast Fourier Transform (DIF-FFT) implementation lies in using a number of Multipliers. Distributed arithmetic (DA) is considered as one of the efficient techniques to implement DIF-FFT. In this approach, the multipliers are not used. The proposed technique exploits the very advantage of the look-up table by storing the Twiddle factors, thereby avoiding the multipliers required in the butterfly structure. DIF-FFT using Distributed Arithmetic (DIF-FFT DA) models, with different adders such as Ripple carry adder (RCA), Carry-lookahead adder (CLA), and Sklansky prefix graph adder, are proposed in this paper. The three proposed models are synthesized using Cadence 6.1 EDA tools with a 45nm CMOS technology. Compared to the traditional method, it is observed that the area is improved by 53.11%, 53.35%, and 50.15%, power is improved by 42.31%, 42.52%, and 40.39%, and delay is improved by 45.26%, 45.42%, 41.80%, respectively.
Źródło:
International Journal of Electronics and Telecommunications; 2021, 67, 4; 631--637
2300-1933
Pojawia się w:
International Journal of Electronics and Telecommunications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Multifunctional unit for reverse conversion and sign detection based on five-moduli set { 2 2n , 2 n + 1, 2 n − 1, 2 n + 3, 2 n − 3 }
Autorzy:
Mojahed, Mohsen
Molahosseini, Amir Sabbagh
Zarandi, Azadeh Alsadat Emrani
Powiązania:
https://bibliotekanauki.pl/articles/2097893.pdf
Data publikacji:
2021
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
computer arithmetic
residue number system
reverse converter
Opis:
A high dynamic range moduli set { 2 2n , 2 n + 1, 2 n − 1, 2 n + 3, 2 n − 3} has recently been introduced as an arithmetically balanced five-modull set for the residue number system (RNS). In order to utilize this moduli set in applications handling signed numbers, two important components are needed: a sign detector, and a signed reverse converter. However, having both of these components results in high-hardware requirements, which makes RNS impractical. This paper overcomes this problem by designing a unified unit that can perform both signed reverse conversion as well as sign detection through the reuse of hardware. To the authors’ knowledge, this is the first attempt to design a sign detector for a moduli set that includes a {2 n 3} moduli. In order to achieve a hardwareamenable design, we first improved the performance of the previous unsigned reverse converter for this moduli set. Then, we extracted a sign-detection method from the structure of the reverse converter. Finally, we made an unsigned reverse converter-to-sign converter through the use of the extracted sign signal from the reverse converter. The experimental results show that the proposed reverse convertor and sign detector result in improvements of 31% and 28% in area and delay, respectively, as compared to the previous unsigned reverse convertor with sign output using a comparator.
Źródło:
Computer Science; 2021, 22 (1); 101-121
1508-2806
2300-7036
Pojawia się w:
Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
SIGN detection and signed integer comparison for three-moduli SET {2n ±1, 2n+k}
Autorzy:
Torabi, Zeinab
Timarchi, Somayeh
Powiązania:
https://bibliotekanauki.pl/articles/2097970.pdf
Data publikacji:
2021
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
computer arithmetic
residue number system
signed integer comparison
dynamic range partitioning
Opis:
Comparison, division, and sign detection are considered to be complicated op erations in a residue number system (RNS). A straightforward solution is to convert RNS numbers into binary formats and then perform complicated op erations using conventional binary operators. If efficient circuits are provided for comparison, division, and sign detection, the application of RNS can be extended to those cases that include these operations. For RNS comparison in three-moduli set τ = {2 n−1, 2 n+k , 2 n+1},(0 ≤ k ≤ n), we have found only one hardware realization. In this paper, an efficient RNS comparator is proposed for moduli set τ , which employs a sign-detection method and operates more efficiently than its counterparts. The proposed sign detector and comparator utilize dynamic range partitioning (DRP), which has been recently presented for unsigned RNS comparison. The delay and cost of the proposed comparator are lower than the previous works, which makes it appropriate for RNS applications with limited delay and cost.
Źródło:
Computer Science; 2021, 22 (3); 387-401
1508-2806
2300-7036
Pojawia się w:
Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
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:
Additive inequalities for weighted harmonic and arithmetic operator means
Autorzy:
Dragomir, Sever
Powiązania:
https://bibliotekanauki.pl/articles/1395937.pdf
Data publikacji:
2019
Wydawca:
Uniwersytet Marii Curie-Skłodowskiej. Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
Tematy:
Young’s inequality
convex functions
arithmetic meanharmonic mean inequality
operator means
operator inequalities
Opis:
In this paper we establish some new upper and lower bounds for the difference between the weighted arithmetic and harmonic operator means under various assumptions for the positive invertible operators A, B. Some applications when A, B are bounded above and below by positive constants are given as well.
Źródło:
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica; 2019, 73, 1
0365-1029
2083-7402
Pojawia się w:
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Application of the interval Lattice Boltzmann method for a numerical modeling of 2D thin metal films irradiated by ultrashort laser pulses
Autorzy:
Piasecka-Belkhayat, Alicja
Korczak, Anna
Powiązania:
https://bibliotekanauki.pl/articles/122840.pdf
Data publikacji:
2019
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
lattice Boltzmann method
interval arithmetic
laser irradiation
heat transfer
metoda kratowa Boltzmanna
arytmetyka przedziałowa
promieniowanie laserowe
przenikanie ciepła
Opis:
In the paper, the two-dimensional numerical modelling of heat transfer in thin metal films irradiated by ultrashort laser pulses using the D2Q9 scheme is considered. In the mathematical description, the relaxation times and the boundary conditions for phonons and electrons are given as interval numbers. The problem has been formulated using the interval coupled lattice Boltzmann equations for electrons and phonons. The solution has been obtained by means of the interval lattice Boltzmann method using the rules of directed interval arithmetic. Examples of numerical computations are presented in the final part of the paper.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2019, 18, 4; 63-71
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
At the Roots of Mathematics in the Lithuanian Language: Mathematics Textbooks by President Antanas Smetona
Autorzy:
Banionis, Juozas
Powiązania:
https://bibliotekanauki.pl/articles/2012071.pdf
Data publikacji:
2019
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
theory of arithmetic
theory of algebra
Lithuanian terminology of mathematics
high school (gymnasium)
arytmetyka
algebra
litewska terminologia matematyczna
szkoły średnie (gimnazja)
Opis:
The article discusses circumstances under which arithmetic and algebra textbooks were written by A. Smetona, future president of Lithuania and a member of the Textbook Publishing Commission under the Lithuanian Scholarly Assembly. The main features of publications for developing Lithuanian gymnasiums of that time and their importance in the history of Lithuanian education. 
Artykuł omawia okoliczności, w jakich podręczniki arytmetyki i algebry zostały napisane przez A.~Smetonę, przyszłego prezydenta Litwy i członka Komisji Publikacji Podręczników w ramach Litewskiego Zgromadzenia Naukowego. Główny cel publikacji to przedstawienie znaczenia tych książek dla rozwoju ówczesnych gimnazjów litewskich oraz ich historycznej roli w edukacji litewskiej.
Źródło:
Antiquitates Mathematicae; 2019, 13; 51-65
1898-5203
2353-8813
Pojawia się w:
Antiquitates Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
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