Temat: group generator - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Some differential equations of elasticity and their lie point symmetry generators
Autorzy:: Bocko, J.
Glodová, I.
Lengvarský, P.
Powiązania:: https://bibliotekanauki.pl/articles/387419.pdf
Data publikacji:: 2014
Wydawca:: Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
Tematy:: symmetry
differential equations
elasticity
group generator
Lie group
symetria
równania różniczkowe
elastyczność
grupa Liego
Opis:: The formal models of physical systems are typically written in terms of differential equations. A transformation of the variables in a differential equation forms a symmetry group if it leaves the differential equation invariant. Symmetries of differential equations are very important for understanding of their properties. It can be said that the theory of Lie group symmetries of differential equations is general systematic method for finding solutions of differential equations. Despite of this fact, the Lie group theory is relatively unknown in engineering community. The paper is devoted to some important questions concerning this theory and for several equations resulting from the theory of elasticity their Lie group infinitesimal generators are given.
Źródło:: Acta Mechanica et Automatica; 2014, 8, 2; 99-102
1898-4088
2300-5319
Pojawia się w:: Acta Mechanica et Automatica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: The average time complexity of probabilistic algorithms for finding generators in finite cyclic groups
Autorzy:: Adamski, T.
Nowakowski, W.
Powiązania:: https://bibliotekanauki.pl/articles/202161.pdf
Data publikacji:: 2015
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:: probabilistic algorithm
average time complexity
group generator
cyclic groups
primitive roots
primitive polynomials
algorytm probabilistyczny
generator grupy
grupy cykliczne
wielomian
Opis:: Generators of finite cyclic groups play important role in many cryptographic algorithms like public key ciphers, digital signatures, entity identification and key agreement algorithms. The above kinds of cryptographic algorithms are crucial for all secure communication in computer networks and secure information processing (in particular in mobile services, banking and electronic administration). In the paper, proofs of correctness of two probabilistic algorithms (for finding generators of finite cyclic groups and primitive roots) are given along with assessment of their average time computational complexity.
Źródło:: Bulletin of the Polish Academy of Sciences. Technical Sciences; 2015, 63, 4; 989-996
0239-7528
Pojawia się w:: Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Eigenvalue-eigenfunction problem for Steklovs smoothing operator and differential-difference equations of mixed type
Autorzy:: Iakovlev, S. I.
Iakovleva, V.
Powiązania:: https://bibliotekanauki.pl/articles/254795.pdf
Data publikacji:: 2013
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: Steklov's smoothing operator
spectrum
eigenvalues
eigenfunctions
mixed-type differential-difference equations
initial function
method of steps
countably normed space
transformation group
generator
Opis:: It is shown that any μ ∈ C is an infinite multiplicity eigenvalue of the Steklov smoothing operator Sh acting on the space [formula]. For μ ≠ 0 the eigenvalue-eigenfunction problem leads to studying a differential-difference equation of mixed type. An existence and uniqueness theorem is proved for this equation. Further a transformation group is defined on a countably normed space of initial functions and the spectrum of the generator of this group is studied. Some possible generalizations are pointed out.
Źródło:: Opuscula Mathematica; 2013, 33, 1; 81-98
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Informacja