Sökning: "matematik addition"
Visar resultat 1 - 5 av 206 avhandlingar innehållade orden matematik addition.
1. A new method q-calculus
Sammanfattning : In q-calculus we are looking for q-analogues of mathematical objects, which have the original object as limits when q tends to 1. q-Calculus has wide-ranging applications in analytic number theory and theoretical physics. The main topic of the thesis is the invention of the tilde operator and the renaissance of the q-addition. LÄS MER
2. On Uniformly Random Discrete Interlacing Systems
Sammanfattning : This thesis concerns uniformly random discrete interlacing particle sys-tems and their connections to certain random lozenge tiling models. In par-ticular it contains the first derivation of a relatively unknown universal scalinglimit, which we call the Cusp-Airy process, of certain lozenge tiling modelsat a cusp point. LÄS MER
3. Topics in Combinatorial Algebraic Geometry
Sammanfattning : This thesis consists of six papers in algebraic geometry –all of which have close connections to combinatorics. In Paper A we consider complete smooth toric embeddings X ↪ P^N such that for a fixed positive integer k the t-th osculating space at every point has maximal dimension if and only if t ≤ k. LÄS MER
4. Symplectic Embeddings and results in TDA
Sammanfattning : This thesis is a collection of work under the theme of “applied topology." The linking idea behind seemingly disjoint fields is the existence of a filtration that one uses to study a space. In turn, given the ubiquitous nature of filtrations, applications range from theoretical fields (e.g. LÄS MER
5. Graded Betti Numbers and Hilbert Functions of Graded Cohen-Macaulay Modules
Sammanfattning : In this thesis we study graded Cohen-Macaulay modules and their possible Hilbert functions and graded Betti numbers. In most cases the Cohen-Macaulay modules we study are level modules. LÄS MER
