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Tytuł:
Mikromorfologia glin lodowcowych jako narzędzie w rekonstrukcji procesów subglacjalnych
Micromorphology of tills as a tool in reconstructing subglacial processes
Autorzy:
Narloch, W.
Piotrowski, J. A.
Powiązania:
https://bibliotekanauki.pl/articles/2075061.pdf
Data publikacji:
2013
Wydawca:
Państwowy Instytut Geologiczny – Państwowy Instytut Badawczy
Tematy:
micromorphology
S-matrix microstructures
subglacial till
subglacial processes
mikromorfologia
mikrostruktura S-matrix
glina lodowcowa
proces zlodowacenia
Opis:
Micromorphology has become an important tool in investigations of glacial tills. Structure and texture of tills studied in thin sections can be used to decipher the origin of tills, in particular their depositional and deformational history, but also to shed light on the nature of subglacial erosion, transport and deposition processes in general. In combination with laboratory experiments on till shearing under controlled conditions, micromorphology yields useful, quantitative data on till rheology that helps understanding the processes of ice movement over soft, deformable beds.This paper is a review of micromorphology applications to the study of subglacial tills as reported in the leading modern literature and presentation of a case study from Obórki site in north-central Poland that illustrates the potential of this method in the context of the last Scandinavian Ice Sheet.
Źródło:
Przegląd Geologiczny; 2013, 61, 5; 294--303
0033-2151
Pojawia się w:
Przegląd Geologiczny
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the $S$-matrix of Schrödinger operator with nonlocal $\delta$-interaction
Autorzy:
Główczyk, Anna
Kużel, Sergiusz
Powiązania:
https://bibliotekanauki.pl/articles/2051910.pdf
Data publikacji:
2021
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
Lax-Phillips scattering scheme
scattering matrix
S-matrix
nonlocal -interaction
non-cyclic function
Opis:
Schrodinger operators with nonlocal δ-interaction are studied with the use of the Lax-Phillips scattering theory methods. The condition of applicability of the Lax-Phillips approach in terms of non-cyclic functions is established. Two formulas for the S-matrix are obtained. The first one deals with the Krein-Naimark resolvent formula and the Weyl-Titchmarsh function, whereas the second one is based on modified reflection and transmission coefficients. The S-matrix S(z) is analytical in the lower half-plane $\mathbb{C}$_ when the Schrodinger operator with nonlocal δ-interaction is positive self-adjoint. Otherwise, S(z) is a meromorphic matrix-valued function in $\mathbb{C}$_ and its properties are closely related to the properties of the corresponding Schrodinger operator. Examples of S-matrices are given.
Źródło:
Opuscula Mathematica; 2021, 41, 3; 413-435
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On maximal social preference
Autorzy:
Łyko, Janusz
Smoluk, Antoni
Powiązania:
https://bibliotekanauki.pl/articles/584937.pdf
Data publikacji:
2014
Wydawca:
Wydawnictwo Uniwersytetu Ekonomicznego we Wrocławiu
Tematy:
of welfare
2/3 rule
utylity functions
Malthus’ increase
Markov’s matrix
Opis:
Mathematics and physics are based on two numbers: Archimedes’ constant = 3,14… and e = 2,71… – Napier’s constant. The former reflects the ratio of the perimeter of a figure to its diameter and maximizes the area, given the diameter. The solutions are the disk and the circle. The latter represents the accumulated capital paid by a bank after one year from investing one unit of money at an annual interest rate of 100% under continuous compounding. The ratio of the disk’s perimeter to its diameter, i.e. , governs omnipresent cyclical motion, whereas Napier’s constant determines natural growth – exponential growth. Nature mixes both kinds of behaviour: there is equilibrium – vortices, and the cobweb model, dynamic growth. Our general remarks are corroborated by the theory of linear differential equations with constant coefficients. Social life – democracy and quality – despite the deceptive chaos of accidental behaviour, is also governed by a beautiful numeral law. This social number is λ = ⅔ whose notation is derived from the Greek meaning crowd, people, assembly. The social number, Łyko’s number, is defined by the fundamental theorem. If each alternative of a maximal relation of a given profile has its frequency in this profile greater than ⅔, then such relation is a group preference. This sufficient condition separates a decisional chaos from a stable economic and voting order – the preference. Also our everyday language makes use of . We distinguish with it upper states – elitist ones, from ordinary standards. The ⅔ rule implies that in each group one third of the population prevails, while the rest are just background actors. The number also appears, a bit of a surprise, in classical theorems of geometry.
Źródło:
Mathematical Economics; 2014, 10(17); 33-52
1733-9707
Pojawia się w:
Mathematical Economics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Próba formalnej definicji dobrobytu
An attempt of the formal definition of well-being
Autorzy:
Łyko, Janusz
Smoluk, Antoni
Powiązania:
https://bibliotekanauki.pl/articles/433940.pdf
Data publikacji:
2015
Wydawca:
Wydawnictwo Uniwersytetu Ekonomicznego we Wrocławiu
Tematy:
state of welfare
2/3 rule
utylity functions
Malthus’ increase
Markov’s matrix
Opis:
Well-being is a quality, and each quality has three natural states: a little, moderately, a lot. Well-being resembles happiness and health. When we have well-being, we usually are not aware of it. Certainly, we all want to live a life of well-being. While we do not specify the notion of happiness so as to avoid bad luck and not to show off with it, we do not define well-being either. It is a blessed state of existing together with nature and with people. Permanent well-being is equated with stable well-being. It is achievable only in a traditional society, where everyone knows what to do and gets it done as expected. Well-being also is associated with social Darwinism; population has well-being when it grows exponentially. Malthusian equation y py ′ = can be seen as a precise definition of well-being. Well-being is a holistic term that applies to a whole community as the quality of life, often equivalent to standard of living. There is no well-being on a desert island. Well-being implies work productiveness and indicates that economy is more efficient than social needs. Well-being may also be expressed by utility functions. Population’s average utility defines social well-being. Each utility function is linked to preference. If a population’s profile satisfies the ⅔ rule, then a maximal relation is preference; in fact, the very preference is social well-being. Stability of wellbeing in Markov matrix 2 1 3 3 1 1 1 3 3 3 1 2 3 3 0 0 M = i s represented by transitions from the states: low being, being and good being, respectively, to these states. If the probabilities of transitions are as those in the matrix M, then the population is divided into three equal parts at a limit state. There are always poor people, normal or happy people and rich people. Well-being may also stand for a state of the economy – a basket of goods at which the utility function takes the maximum. Well-being is definitely related to work organization and economic situation. The world today enjoys well-being, because the net global wealth has doubled since 2000, reaching $263 trillion in 2013. The assets therefore increased exponentially. Yet, one should consider the lilies of the field, and how they grow, look at the birds of the air and think about who feeds them. The idea of wellbeing is more spiritual than material. It is in vain that you go late to rest and get up early – your effort will not gain much. Because God gives sleep to those he loves. Life is the only value affirmed by Nietzsche. Being represents a complete good, whereas not being is evil. If you exist, you have well-being. There is no well-being without equilibrium and full employment. Well-being can be measured by an index W n k n = + where n denotes the number of new firms established in a given year, and k – the number of closed firms. The nearer to one is this index, the better. Well-being is by no means total power, fortune and pleasure. Well-being is a state of soul, not a state of body. It is a function of organization and self-organization, a variety of stoicism.
Źródło:
Śląski Przegląd Statystyczny; 2015, 13 (19); 15-27
1644-6739
Pojawia się w:
Śląski Przegląd Statystyczny
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An alternative to Gower’s inverse matrix
Autorzy:
López-Bonilla, J.
López-Vázquez, R.
Vidal-Beltrán, S.
Powiązania:
https://bibliotekanauki.pl/articles/1177483.pdf
Data publikacji:
2018
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
Adjoint matrix
Characteristic equation
Eigenvalue problem
Faddeev-Sominsky’s method
Gower’s pseudoinverse matrix
Leverrier-Takeno’s algorithm
Opis:
We show that the Faddeev-Sominsky’s process allows construct a natural inverse for any square matrix, which is an alternative to the inverse obtained by Gower.
Źródło:
World Scientific News; 2018, 102; 166-172
2392-2192
Pojawia się w:
World Scientific News
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The bovine tyrosine hydroxylase gene associates in vitro with the nuclear matrix by its first intron sequence*.;
Autorzy:
Lenartowski, Robert
Grzybowski, Tomasz
Miścicka-Śliwka, Danuta
Wojciechowski, Waldemar
Goc, Anna
Powiązania:
https://bibliotekanauki.pl/articles/1043467.pdf
Data publikacji:
2003
Wydawca:
Polskie Towarzystwo Biochemiczne
Tematy:
intronic S/MAR
tissue specificity
scaffold/matrix attachment region (S/MAR)
tyrosine hydroxylase
nuclear matrix
Opis:
Recently we have shown that in vitro binding of the proximal part of the human tyrosine hydroxylase gene to the nuclear matrix is correlated with its transcriptional activity. The strongest binding potential was predicted by computing for the first intron sequence (Lenartowski & Goc, 2002, Neurosci Lett.; 330 : 151-154). In this study a 16 kb fragment of the bovine genomic DNA containing the tyrosine hydroxylase gene was investigated for its affinity to the nuclear matrix. Only a 950 bp fragment encoding the distal part of the first intron, second exon and a few nucleotides of the second intron bound to the nuclear matrix. The binding was independent of the tissue-specific tyrosine hydroxylase gene activation. The fragment was subcloned and sequenced. Computer search pointed to one potential intronic matrix attachment region with two AP1-like sites embedded in the sequence. We conclude that even if the position of the matrix binding region is conserved among the tyrosine hydroxylase genes in mammals, its tissue specificity and/or function is not preserved or is achieved by different mechanisms.
Źródło:
Acta Biochimica Polonica; 2003, 50, 3; 865-873
0001-527X
Pojawia się w:
Acta Biochimica Polonica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Evaluation of the Levels of Metalloproteinsase-2 in Patients with Abdominal Aneurysm and Abdominal Hernias
Autorzy:
Antoszewska, Magdalena
Powiązania:
https://bibliotekanauki.pl/articles/1396355.pdf
Data publikacji:
2013-05-01
Wydawca:
Index Copernicus International
Tematy:
abdominal aortic aneurysm
abdominal hernia
matrix metalloproteinases (MMP-s)
extracellular matrix (ECM)
fascia
Opis:
Abdominal aortic aneurysms and abdominal hernias become an important health problems of our times. Abdominal aortic aneurysm and its rupture is one of the most dangerous fact in vascular surgery. There are some theories pointing to a multifactoral genesis of these kinds of diseases, all of them assume the attenuation of abdominal fascia and abdominal aortic wall. The density and continuity of these structures depend on collagen and elastic fibers structure. Reducing the strengthof the fibersmaybedue to changes in the extracellular matrix (ECM) by the proteolytic enzymes-matrix metalloproteinases (MMPs) that degrade extracellular matrix proteins. These enzymes play an important role in the development of many disease: malignant tumors (colon, breast, lung, pancreas), cardiovascular disease (myocardial infarction, ischemia-reperfusion injury), connective tissue diseases (Ehler-Danlos Syndrome, Marfan’s Syndrome), complications of diabetes (retinopathy, nephropathy). One of the most important is matrix metalloproteinase-2 (MMP-2). The aim of the study was an estimation of the MMP-2 blood levels in patients with abdominal aortic aneurysm and primary abdominal hernia, and in patients with only abdominal aortic aneurysm. Material and methods. The study involved 88 patients aged 42 to 89 years, including 75 men and 13 women. Patients were divided into two groups: patients with abdominal aortic aneurysm and primary abdominal hernia (45 persons, representing 51.1% of all group) and patients with only abdominal aortic aneurysm (43 persons, representing 48,9% of all group). Results. It was a statistically significant increase in MMP-2 blood levels in patients with abdominal aortic aneurysm and primary abdominal hernia compared to patients with only abdominal aortic aneurysm. It was a statistically significant increase in the prevalence of POCHP in patients with only abdominal aortic aneurysm compared to patients with abdominal aortic aneurysm and primary abdominal hernia. Conclusions. Statistically significant higher MMP-2 blood levels in patients with abdominal aortic aneurysm and primary abdominal hernia seems shows that this enzyme plays a role in the pathogenesis of primary abdominal hernias. The observed distribution of MMP-2 blood levels in patients with abdominal aortic aneurysm and primary abdominal hernia may raise the conclusion that this enzyme determines the presence of multi-organ failure of the connective tissue - the patients with only abdominal aortic aneurysm had significantly lower MMP-2 blood levels.
Źródło:
Polish Journal of Surgery; 2013, 85, 5; 271-278
0032-373X
2299-2847
Pojawia się w:
Polish Journal of Surgery
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Performance improvement of a novel zero cross-correlation code using Pascal’s triangle matrix for SAC-OCDMA systems
Autorzy:
Driz, Samia
Fassi, Benattou
Kandouci, Chahinaz
Ghali, Fodil
Powiązania:
https://bibliotekanauki.pl/articles/2063900.pdf
Data publikacji:
2022
Wydawca:
Polska Akademia Nauk. Stowarzyszenie Elektryków Polskich
Tematy:
multiple access interference
pascal’s triangle matrix
quality of service
spectral amplitude coding-optical code division multiple access
zero cross-correlation
Opis:
In order to minimize the receiver complexity and improve the performance of the spectral amplitude coding - optical code division multiple access system, a novel one-dimensional zero cross-correlation code using Pascal’s triangle matrix has been suggested. This research article shows that the position of chip “1” in the code sequences is one of the important factors affecting system performance. In fact, mathematical results show that, for the allwavelength direct detection, it is possible to reduce the number of filters without sacrificing system performance. In addition, compared to one-wavelength direct detection, the signalto-noise ratio value is increased with an increasing weight by using wide-bandwidth filters as decoders. Performance of the proposed system in terms of the minimum bit error rate is validated using the OptiSystem software. Compared with the previous systems at 622 Mbps, the suggested system gave the best values of bit error rate of around 10⁻⁴³, 10⁻³⁵, and 10⁻²⁶ for higher, medium, and lower service demand, respectively.
Źródło:
Opto-Electronics Review; 2022, 30, 1; 1--7
1230-3402
Pojawia się w:
Opto-Electronics Review
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the Faddeev-Sominsky’s algorithm
Autorzy:
Torres-Silva, H.
López-Bonilla, J.
Vidal-Beltrán, S.
Powiązania:
https://bibliotekanauki.pl/articles/1166341.pdf
Data publikacji:
2018
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
Adjoint matrix
Characteristic equation
Eigenvalue problem
Faddeev-Sominsky’s method
Inverse matrix
Leverrier-Takeno’s algorithm
Resolvent of a matrix
Opis:
We comment that the Faddeev-Sominsky’s process to obtain an inverse matrix is equivalent to the Cayley-Hamilton-Frobenius theorem plus the Leverrier-Takeno’s method to construct the characteristic polynomial of an arbitrary matrix. Besides, we deduce the Lanczos expression for the resolvent of the corresponding matrix.
Źródło:
World Scientific News; 2018, 106; 238-244
2392-2192
Pojawia się w:
World Scientific News
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the quality of regular correlated pairs (R(K), R0(K)), measured by the value of the coefficient R2(k)
Autorzy:
Plebaniak, Joanna
Powiązania:
https://bibliotekanauki.pl/articles/424923.pdf
Data publikacji:
2013
Wydawca:
Wydawnictwo Uniwersytetu Ekonomicznego we Wrocławiu
Tematy:
correlation matrix
universal matrix
Hellwig’s inequality
the coefficient r2(k)
Opis:
If a correlated pair (R(k), R0(k)) is a regular correlated pair, then the coefficient measuring the quality of such a pair satisfies the inequality: r2(k) ≥ F(k)...
Źródło:
Econometrics. Ekonometria. Advances in Applied Data Analytics; 2013, 3(41); 9-14
1507-3866
Pojawia się w:
Econometrics. Ekonometria. Advances in Applied Data Analytics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Determining preference orders based on a majority margin matrix
Autorzy:
Bury, H.
Wagner, D.
Powiązania:
https://bibliotekanauki.pl/articles/406661.pdf
Data publikacji:
2013
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
profile of preference orders
pairwise comparisons
outranking matrix
majority margin matrix
Debord’s method
Opis:
When determining a group ranking, the information about experts’ opinions may be sometimes incomplete. In such cases, usually only the outranking matrix L or the majority margin matrix ΔL is available. Debord [2] presented a technique for constructing the set of experts’ opinions based on the majority margin matrix. The method proposed – simple and efficient – provides a set of experts’ opinions consistent with the given majority margin matrix.
Źródło:
Operations Research and Decisions; 2013, 23, 2; 25-41
2081-8858
2391-6060
Pojawia się w:
Operations Research and Decisions
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Konsekwencje majoryzowania macierzy korelacji przez macierz uniwersalną na tle nierównoci Hellwiga
The Consequences of the Majorisation of the Correlation Matrix by the Universal Matrix Based on Hellwigs Inequality
Autorzy:
Kolupa, Michał
Plebaniak, Joanna
Powiązania:
https://bibliotekanauki.pl/articles/1830802.pdf
Data publikacji:
2011-12-31
Wydawca:
Główny Urząd Statystyczny
Tematy:
macierz korelacji
macierz uniwersalna
nierówność Z. Hellwiga
correlation matrix
universal matrix
Hellwig’s inequality
Źródło:
Przegląd Statystyczny; 2011, 58, 3-4; 224-230
0033-2372
Pojawia się w:
Przegląd Statystyczny
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Evaluation of the transmission and the scattering matrix applicability to the mufflers analysis
Autorzy:
Snakowska, Anna
Gorazd, Łukasz
Jurkiewicz, Jerzy
Powiązania:
https://bibliotekanauki.pl/articles/127786.pdf
Data publikacji:
2019
Wydawca:
Politechnika Poznańska. Instytut Mechaniki Stosowanej
Tematy:
transmission matrix
scattering matrix
multimode wave
silencer
muffler
macierz transmisji
macierz S
fala wielomodowa
tłumik
Opis:
The analysis of the acoustical systems can be carried out based on a number of different formalisms, of which applied frequently are the transfer matrix formalism, in which the chosen state variables are the sound pressure p and the sound velocity v, and the scattering matrix formalism adopting the sound pressures p+ and p− and the sound velocities v+ and v− of waves propagating through an element in both directions. Even though, they are mathematically equivalent, i.e. there exists the unequivocal transformation from one to another there are some advantages and disadvantages in applying one or the other to analyse mufflers or other acoustic system, especially when the propagation of a multimode wave is assumed and numerical calculations are indispensable. In the paper the transformation between the formalisms has been derived and applied to analyse the phenomena at a junction between the tail pipe and the chamber and also in mufflers composed of one or two chambers. The more flexible for numerical calculations seems the scattering matrix formalism, especially when the number of propagating modes differs on both sides of a junction. On the other hand the transmission matrix formalism is suitable for analysing systems constituting a cascade. The sources of the advantages and disadvantages of both formalisms are explained. The results obtained can be helpful in the effective design of silencers with specific properties.
Źródło:
Vibrations in Physical Systems; 2019, 30, 1; 1-8
0860-6897
Pojawia się w:
Vibrations in Physical Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Torsion of restrained thin-walled bars of open constant bisymmetric cross-section
Autorzy:
Kujawa, M.
Powiązania:
https://bibliotekanauki.pl/articles/1933993.pdf
Data publikacji:
2012
Wydawca:
Politechnika Gdańska
Tematy:
thin-walled bars
elastic stiffness matrix
geometric stiffness matrix
restrained torsion
Castigliano’s method
torsional buckling
Opis:
Elastic and geometric stiffness matrices were derived using Castigliano’s first theorem, for the case of torsion of restrained thin-walled bars of open constant bisymmetric cross-section. Functions which describe the angles of torsion were adopted from the solutions of the differential equation for restrained torsion. The exact solutions were simplified by expanding them in a power series. Numerical examples were taken from Kujawa M 2009 Static and Sensitivity Analysis of Grids. . . 97, GUT Publishing House, and Szymczak C 1978 Engineering Transaction 26 323. Convergence of the solutions was analyzed using the matrices derived for torsion angles, warping, bimoments and critical forces.
Źródło:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2012, 16, 1-2; 5-15
1428-6394
Pojawia się w:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Further Results on Gbemi’s Method: The Extended Sarrus’ Rule to the Computations of the Determinant of n × n (n > 3) Matrices
Autorzy:
Sobamowo, M. G.
Powiązania:
https://bibliotekanauki.pl/articles/1031810.pdf
Data publikacji:
2020
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
Determinant
Extended Sarrus’ rule
Further results
Gbemi’s method
Linear algebra
Matrix
Opis:
Over the years, the generally accepted fact is that the Sarrus’s rule which was developed by a French Mathematician, P. F. Sarrus in 1833, is only limited to finding the determinant of 3 × 3 Matrices. However, in my previous work [1] “On the Extension of Sarrus’ Rule to n × n (n > 3) Matrices: Development of New Method for the Computation of the Determinant of 4 × 4 Matrices” which was published in International Journal of Engineering Mathematics, vol. 2016, 14 pages, the possibility of extending the Sarrus’s rule to find the determinant of 4 × 4 matrices was displayed using the newly established Gbemi’s method. The simplicity, accuracy, ease of applications as well as comparatively low computational time and cost of the proposed Gbemi’s method were pointed out. In this further study, additional nine methods of extending the Sarrus’s rule to evaluate the determinant of 4 × 4 matrices are established. The further establishes the effectiveness, consistency for handy calculations, high accuracy and relatively low computational time of the new method. Therefore, with the aid of the generalized extended method to n × n, it could be stated that method will greatly reduce the computational and running time of most software that are largely based on matrices. Consequently, this will greatly reduce the computational cost.
Źródło:
World Scientific News; 2020, 147; 1-34
2392-2192
Pojawia się w:
World Scientific News
Dostawca treści:
Biblioteka Nauki
Artykuł
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