The main subject of the research presented in the dissertation is the Coxeter
spectral classification of finite connected partially ordered sets (posets) 𝐼�, encoded
in the form of incidence matrices 𝐶�𝐼� ∈ 𝕄�|𝐼�|(ℤ), ...
The following thesis is concerned with deformation theory over a perfect field of characteristic p > 0. We investigate mod p2 and characteristic zero liftability of schemes and their Frobenius morphism. In particular, we ...
This dissertation is devoted to various aspects of the nearest neighbors search.
The nearest neighbor related techniques are applied in diverse areas including
computational geometry, databases, robotic sensing, DNA ...
A Lai-Ding's secret sharing scheme Sigma^{LD}_q(c, i) defined by parameters c = (c_0, ..., c_{k-1}), i and q is a modification of a Shamir's k-threshold scheme in which the share given to a participant x in F_q is computed ...
This thesis is a part of a more general work concerning the problem of identifier binding in
Java. Java is concerned here as most general of languages admitting both inheritance and
inner classes. The problem of identifier ...
Współczesne aplikacje są budowane za pomocą obiektowych języków programowania. Do składowania danych trwałych najczęściej stosuje się jednak bazy danych o relacyjnym modelu danych, który istotnie różni się od obiektowego. ...
This thesis concerns the geometry behind the p-adic local Langlands correspondence. We give a formalism of methods of Emerton, which would permit to establish the Fontaine-Mazur conjecture in the general case for unitary ...
This dissertation is a collection of several results in mathematical analysis of solutions to
quasilinear parabolic partial differential equations with very singular diffusion. By this, we
mean that the diffusivity is ...
This thesis is about an extension of context-free grammars with partial commutation on nonterminal symbols. In particular, we investigate the subclass with transitive dependence relation and the corresponding automaton ...
Rozprawa ta poświęcona jest badaniu półgrupy C(A) klas sprzężoności ideałów lewostronnych skończenie wymiarowej algebry A z 1 nad ciałem K. Mnożenie w tej półgrupie pochodzi w sposób naturalny od struktury multyplikatywnej ...
Głównym problemem rozprawy doktorskiej jest minimalizacja liczby skoków posetu. Problem skoków dla danego posetu P polega na znalezieniu rozszerzenia liniowego, które minimalizuje liczbę sąsiadujących par elementów, ...
W rozprawie rozważane są tylko pierścienie łączne, zwane dalej pierścieniami.Dobrze wiadomo, że w klasie pierścieni relacja bycia ideałem nie jest przechodnia. Celem rozprawy jest rozważenie szeregu zagadnień związanych z ...
In recent years, processing and exploration of time series has experienced a noticeable interest. Growing volumes of data and needs of efficient processing pushed the research in new directions, including hardware based ...
The aim of this dissertation is to investigate the geometry of resolutions of quotient
singularities C
n/G for G ⊂ SLn(C) with use of an associated algebraic object – the Cox
ring. We are interested in construction of ...
In this dissertation we take an algorithmic view on resource allocation problems in distributed systems. We present a comprehensive perspective by studying a variety of distributed systems---from abstract models of generic ...
Most statistical analyses or modelling studies must deal with the discrepancy between the measured aspects of analysed phenomenona and their true nature. Hence, they are often preceded by a step of altering the data ...
In this dissertation we set out to study a simplified model of activation flow in artificial neural networks with geometrical embedding.
The model provides a mathematical description of abstract neural activation transfer ...
Rozprawa doktorska wprowadza nowy, zdefiniowany przez autora model obliczeń kryptograficznych, nazwany SBA–modelem. Charakterystyczne ce- chy tego modelu to ograniczona pamieć, wycieki oraz użycie losowej wyroczni. W ...