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2 605 (0,122s) •

Project

Local-global problems over number fields (GN22-11563O)

to the whole field. For them, we will investigate their additively indecomposable integers an asymptotic formula for the number of integers up to some bound, for which the values......

Pure mathematics

  • 2022 - 2025
    • •
  • 3 777 tis. Kč
    • •
  • 3 777 tis. Kč
    • •
  • GA ČR
Project

Quadratic forms and numeration systems over number fields (GJ17-04703Y)

the structure of additively indecomposable integers, numeration systems based on units of integers in totally real number fields. Our main goal is to investigate the minimal......

BA - Obecná matematika

  • 2017 - 2019
    • •
  • 6 484 tis. Kč
    • •
  • 6 484 tis. Kč
    • •
  • GA ČR
Project

Universal Quadratic Forms and Class Numbers (GM21-00420M)

We will establish a new connection between the multiplicative and additive: For a given number field K, the larger the class number of K is, the fewer indecomposable algebraic integers in K there are, and the smaller the ra...

Pure mathematics

  • 2021 - 2025
    • •
  • 23 271 tis. Kč
    • •
  • 23 271 tis. Kč
    • •
  • GA ČR
Project

Number theory and its applications (MEB080877)

To find new scientific results and their applications in two fields of number theory: theory of generating pseudorandom numbers and theory of densities of sets of positive integers.......

BA - Obecná matematika

  • 2008 - 2009
    • •
  • 54 tis. Kč
    • •
  • 54 tis. Kč
    • •
  • MŠMT
Project

Research and development of methods and algorithms for optimizing decisions on deployment of energy resources in terms of cost and emissions (TA02020538)

The proposed project focuses on research and development of optimization tools, focusing primarily on the role of planning deploying of energy resources. Designed software will solve the deployment energy sources problem with an annual horizon optimi...

JE - Nejaderná energetika, spotřeba a užití energie

  • 2012 - 2014
    • •
  • 4 795 tis. Kč
    • •
  • 2 880 tis. Kč
    • •
  • TA ČR
Project

Algebraic Structures, Number Theory and Their Aplications. (IAA1187101)

Algebraic number theory studies the arithmetics of algebraic number fields - rings of integers in numbers fields, the ideals in the ring of integers fails to have unique factorisation, and so on. The structure of rings of intege...

BA - Obecná matematika

  • 2001 - 2003
    • •
  • 2 871 tis. Kč
    • •
  • 1 641 tis. Kč
    • •
  • AV ČR
Project

New challenges in streaming, online, and combinatorial algorithms (GA24-10306S)

We propose to study important problems in several areas of theory of algorithms. In streaming algorithms we focus on quantile estimation and on streams of geometric data. In online algorithms we focus on edit distance, throughput scheduling and bin p...

Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

  • 2024 - 2026
    • •
  • 14 122 tis. Kč
    • •
  • 12 322 tis. Kč
    • •
  • GA ČR
Project

Efficient approximation algorithms and circuit complexity (GX19-27871X)

, Integer Programming, Satisfiability and study their approximation and parameterized...

Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

  • 2019 - 2024
    • •
  • 49 235 tis. Kč
    • •
  • 49 235 tis. Kč
    • •
  • GA ČR
Project

Differential and difference equations of real orders Qualitative analysis and its applications (GA20-11846S)

Recently, a new class of differential equations involving derivatives of non-integer orders has appeared with the aim to propose models that are more adequate to real situations. Besides, such a class poses serious theoretical problems betwe...

Pure mathematics

  • 2020 - 2022
    • •
  • 9 542 tis. Kč
    • •
  • 9 542 tis. Kč
    • •
  • GA ČR
Project

NP-Hard Problems in Operations Research (GA402/06/0123)

Operations research deals with the modeling and solving practical problems consisting in finding an optimal economic decision. Since many of these problems are NP-hard, the computational complexity and time requirements are enormous barriers for usin...

BB - Aplikovaná statistika, operační výzkum

  • 2006 - 2008
    • •
  • 1 140 tis. Kč
    • •
  • 1 140 tis. Kč
    • •
  • GA ČR
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