Preface ......................................................... 5
Marek J. ŚMIETAŃSKI
New algorithms for solving unconstrained optimization problems
based on the generalized Newton method involving simple
quadrature rules ................................................ 7
Sergei S. SHERBAKOV, Michael A. ZHURAVKOV and Leonid
A. SOSNOVSKIY
Contact interaction, volume damageability and multicriterial
limiting states of multielement tribo-fatigue systems .......... 17
Edyta HETMANIOK, Jakub J. LUDEW and Mariusz PLESZCZYŃSKI
Examination of stability of the computer tomography
algorithms in case of the incomplete information for the
objects with non-transparent elements .......................... 39
Tomasz TRAWIŃSKI, Sebastian BARTEL, Marcin SZCZYGIEŁ,
Damian SŁOTA and Roman WITUŁA
A chosen form of a block matrix in the mathematical model of
the induction squirrel-cage motors ............................. 61
Edyta HETMANIOK, Michal RÓŻAŃSKI, Damian SŁOTA, Marcin
SZWEDA, Tomasz TRAWIŃSKI and Roman WITUŁA
Determinants of the block arrowhead matrices ................... 73
Marcin SOWA
Error computation strategies in an adaptive step size solver
for time fractional problems ................................... 89
Radosław GRZYMKOWSKI, Edyta HETMANIOK and Mariusz
PLESZCZYŃSKI
A novel algorithm for solving the ordinary differential
equations ..................................................... 103
Wojciech M. KEMPA and Rafał MARJASZ
Distribution of the time to butter overflow in the single-
server queueing model with multiple vacation policy ........... 113
Bozena PIATEK and Alicja SAMULEWICZ
Gluing Busemann spaces ........................................ 129
Rafał ZDUŃCZYK
Sets with small differences and big sums in finite groups ..... 149
Beata BAJORSKA-HARAPIŃSKA
How programming was used to determine factorizations of
self-similar groups associated to the first Grigorchuk group .. 167
Beata BAJORSKA-HARAPIŃSKA, Mariusz PLESZCZYŃSKI, Damian
SŁOTA and Roman WITUŁA
A few properties of Ramanujan cubic polynomials and
Ramanujan cubic polynomials of the second kind ................ 181
Piotr LORENC, Jakub J. LUDEW, Mariusz PLESZCZYŃSKI,
Alicja SAMULEWICZ and Roman WITUŁA
Iterated integrals of Faulhaber polynomials and some
properties of their roots ..................................... 201
Edyta HETMANIOK, Bozena PIĄTEK, Mariusz PLESZCZYŃSKI and
Roman WITUŁA
Identities for the inverses of central binomial coefficients .. 219
Beata BAJORSKA-HARAPIŃSKA, Mariusz PLESZCZYŃSKI, Michał
RÓŻAŃSKI, Marcin SZWEDA and Roman WITUŁA
Generalizations of Kaprekars transformations and
Kaprekar-style transformations ................................ 233
Hanna HANSLIK, Edyta HETMANIOK, Mariusz PLESZCZYŃSKI,
Ireneusz SOBSTYL and Roman WITULA
On the orbits of Kaprekars transformations by discussing the
numerical results ............................................. 259
Edyta HETMANIOK, Alicja SAMULEWICZ, Ireneusz SOBSTYL,
Marcin SZWEDA and Roman WITUŁA
Triangles with ideal proportions of sides ..................... 275
Grzegorz SITEK
About bi-lines of regression .................................. 289
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