Sökning: "definition matematik"

Visar resultat 1 - 5 av 78 avhandlingar innehållade orden definition matematik.

  1. 1. On complex convexity

    Författare :David Jacquet; Mikael Passare; Peter Pflug; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; ℂ-convex; Linearly convex; Charathéodory metric; Kobayshi metric; MATHEMATICS; MATEMATIK; matematik; Mathematics;

    Sammanfattning : This thesis is about complex convexity. We compare it with other notions of convexity such as ordinary convexity, linear convexity, hyperconvexity and pseudoconvexity. We also do detailed study about ℂ-convex Hartogs domains, which leads to a definition of ℂ-convex functions of class C1. LÄS MER

  3. 2. A new method q-calculus

    Författare :Thomas Ernst; Hari M. Srivastava; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; MATEMATIK; MATHEMATICS; MATEMATIK; matematik; Mathematics;

    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

  4. 3. Invariants for Multidimensional Persistence

    Författare :Martina Scolamiero; Wojciech Chacholski; Vin de Silva; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; computational topology; Matematik; Mathematics;

    Sammanfattning : The amount of data that our digital society collects is unprecedented. This represents a valuable opportunity to improve our quality of life by gaining insights about complex problems related to neuroscience, medicine and biology among others. LÄS MER

  5. 4. Wheeled Operads in Algebra, Geometry, and Quantization

    Författare :Johan Granåker; Sergei A. Merkulov; Andrey Lazarev; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; operads; deformation theory; homotopy algebra; deformation quantization; MATHEMATICS; MATEMATIK; Mathematics; matematik;

    Sammanfattning : The theory of generalized operads, the foundational conceptual framework of this thesis, has become a universal language, relating various areas such as algebraic topology, derived categories of algebras, deformation theory, differential geometry and the mathematical theory of quantization.The thesis consists of a preliminary chapter followed by four main chapters. LÄS MER

  7. 5. Interpolation of Hilbert spaces

    Författare :Yacin Ameur; Frank Hansen; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Interpolation; Hilbert space; K-functional; K-monotonicity; Calderon couple; Pick function; matrix monotone function; K_2-functional; Löwner s and Donoghue s theorems.; MATEMATIK; MATHEMATICS; MATEMATIK; Mathematics; Matematik;

    Sammanfattning : (i) We prove that intermediate Banach spaces A, B with respect to arbitrary Hilbert couples H, K are exact interpolation iff they are exact K-monotonic, i.e. the condition f0∊A and the inequality K(t,g0;K)≤K(t,f0;H), t>0 imply g0∊B and ||g0||B≤||f0||A (K is Peetre's K-functional). LÄS MER