Search results for: foundations of mathematics

• FOUNDATIONS OF COMPUTATIONAL MATHEMATICS

  Journals

  ISSN: 1615-3375 , eISSN: 1615-3383

• Quantum Studies : Mathematics and Foundations

  Journals

  ISSN: 2196-5609 , eISSN: 2196-5617

• Foundations of Capital Market Analysis

  e-Learning Courses

  • M. Gnyba

• Foundations of Capital Market Analysis

  e-Learning Courses

  • M. Gnyba

• Parallelization Method for a Continuous Property

  Publication

  • P. Pilarczyk

  - FOUNDATIONS OF COMPUTATIONAL MATHEMATICS - Year 2010

  Full text to download in external service

• Graph Approach to the Computation of the Homology of Continuous Maps

  Publication

  • K. Mischaikow
  • M. Mrozek
  • P. Pilarczyk

  - FOUNDATIONS OF COMPUTATIONAL MATHEMATICS - Year 2005

  Full text to download in external service

• Finite Resolution Dynamics

  Publication

  • S. Luzzatto
  • P. Pilarczyk

  - FOUNDATIONS OF COMPUTATIONAL MATHEMATICS - Year 2011

  Full text to download in external service

• Foundations of Capital Markets Analysis 2022

  e-Learning Courses

  • M. Gnyba

• Relativity of arithmetic as a fundamental symmetry of physics

  Publication

  • M. Czachor

  - Quantum Studies : Mathematics and Foundations - Year 2016

  Arithmetic operations can be defined in various ways, even if one assumes commutativity and associativity of addition and multiplication, and distributivity of multiplication with respect to addition. In consequence, whenever one encounters ‘plus’ or ‘times’ one has certain freedom of interpreting this operation. This leads to some freedom in definitions of derivatives, integrals and, thus, practically all equations occurring in...

  Full text available to download

• Elements of Discrete Mathematics 2023

  e-Learning Courses

  • J. Raczek

  This course helps with learning Elements of Discrete Mathematics.

• Elements of Discrete Mathematics 2022

  e-Learning Courses

  • J. Raczek

  This course helps with learning Elements of Discrete Mathematics.

• Elements of Discrete Mathematics 2024

  e-Learning Courses

  • J. Raczek

  This course helps with learning Elements of Discrete Mathematics.

• Application of Mathematics in Technology 2 [2022/23]

  e-Learning Courses

  • J. Horiszny

  {mlang en}Numerical methods in electrical engineering.{mlang} {mlang pl}Metody numeryczne w elektrotechnice{mlang}

• Application of Mathematics in Technology 2 [2020/21]

  e-Learning Courses

  • J. Horiszny

  Kurs dla studentów sem. 4 na kierunku Energy Technologies studiów stacjonarnych I stopnia w języku angielskim. Metody numeryczne. Zastosowania w elektrotechnice. Wykład+ćwiczenia.

• Application of Mathematics in Technology 2 [2021/22]

  e-Learning Courses

  • J. Horiszny

  {mlang en}Numerical methods in electrical engineering.{mlang} {mlang pl}Metody numeryczne w elektrotechnice{mlang}

• Application of Mathematics in Technology 2 [2023/24]

  e-Learning Courses

  • J. Horiszny

• Application of Mathematics in Technology for Dezhou University, 2022

  e-Learning Courses

  • K. Wrzask

  Application of Mathematics 

• Application of Mathematics in Technology for Dezhou University, 2023

  e-Learning Courses

  • K. Wrzask

  Application of Mathematics  MOODLE ENV localdevtestprod

• Application of Mathematics in Technology, ET, sem 3, 23/24, (PG_00049767)

  e-Learning Courses

  • K. Wrzask

  Application of Mathematics  MOODLE ENV localdevtestprod

• Application of Mathematics in Technology, ET, sem. 3, winter 2022/2023, (PG_00049767)

  e-Learning Courses

  • J. Kowalski
  • K. Wrzask

  Application of Mathematics lectures and exercises

• Marek Czachor prof. dr hab.

  People

  Instytut Fizyki i Informatyki Stosowanej

• Uniform expansion estimates in the quadratic map as a function of the parameter, with a large range of parameters

  Open Research Data

  open access

  • P. Pilarczyk

  - series: Uniform expansion estimates in one-dimensional dynamics

  This dataset contains selected results of numerical computations described in the paper "Quantitative hyperbolicity estimates in one-dimensional dynamics" by S. Day, H. Kokubu, S. Luzzatto, K. Mischaikow, H. Oka, P. Pilarczyk, published in Nonlinearity, Vol. 21, No. 9 (2008), 1967-1987, doi: 10.1088/0951-7715/21/9/002.

• Uniform expansion estimates in the quadratic map as a function of the parameter, with a very small critical neighborhood

  Open Research Data

  open access

  • P. Pilarczyk

  - series: Uniform expansion estimates in one-dimensional dynamics

  This dataset contains selected results of numerical computations described in the paper "Quantitative hyperbolicity estimates in one-dimensional dynamics" by S. Day, H. Kokubu, S. Luzzatto, K. Mischaikow, H. Oka, P. Pilarczyk, published in Nonlinearity, Vol. 21, No. 9 (2008), 1967-1987, doi: 10.1088/0951-7715/21/9/002.

• Uniform expansion estimates in the quadratic map as a function of the partition size, using Johnson’s algorithm

  Open Research Data

  open access

  • P. Pilarczyk

  - series: Uniform expansion estimates in one-dimensional dynamics

  This dataset contains selected results of numerical computations described in the paper "Quantitative hyperbolicity estimates in one-dimensional dynamics" by S. Day, H. Kokubu, S. Luzzatto, K. Mischaikow, H. Oka, P. Pilarczyk, published in Nonlinearity, Vol. 21, No. 9 (2008), 1967-1987, doi: 10.1088/0951-7715/21/9/002.

• Uniform expansion estimates in the quadratic map with the smallest critical neighborhood for which the expansion exponent λ0 is positive

  Open Research Data

  open access

  • P. Pilarczyk

  - series: Uniform expansion estimates in one-dimensional dynamics

  This dataset contains selected results of numerical computations described in the paper "Quantitative hyperbolicity estimates in one-dimensional dynamics" by S. Day, H. Kokubu, S. Luzzatto, K. Mischaikow, H. Oka, P. Pilarczyk, published in Nonlinearity, Vol. 21, No. 9 (2008), 1967-1987, doi: 10.1088/0951-7715/21/9/002.

• Uniform expansion estimates in the quadratic map as a function of the partition size, computing λ only

  Open Research Data

  open access

  • P. Pilarczyk

  - series: Uniform expansion estimates in one-dimensional dynamics

  This dataset contains selected results of numerical computations described in the paper "Quantitative hyperbolicity estimates in one-dimensional dynamics" by S. Day, H. Kokubu, S. Luzzatto, K. Mischaikow, H. Oka, P. Pilarczyk, published in Nonlinearity, Vol. 21, No. 9 (2008), 1967-1987, doi: 10.1088/0951-7715/21/9/002.

• Uniform expansion estimates in the quadratic map as a function of the partition size, using the “derivative” partition type

  Open Research Data

  open access

  • P. Pilarczyk

  - series: Uniform expansion estimates in one-dimensional dynamics

  This dataset contains selected results of numerical computations described in the paper "Quantitative hyperbolicity estimates in one-dimensional dynamics" by S. Day, H. Kokubu, S. Luzzatto, K. Mischaikow, H. Oka, P. Pilarczyk, published in Nonlinearity, Vol. 21, No. 9 (2008), 1967-1987, doi: 10.1088/0951-7715/21/9/002.

• Uniform expansion estimates in the cubic map as a function of the parameter

  Open Research Data

  open access

  • P. Pilarczyk

  - series: Uniform expansion estimates in one-dimensional dynamics

  This dataset contains selected results of numerical computations described in the paper "Quantitative hyperbolicity estimates in one-dimensional dynamics" by S. Day, H. Kokubu, S. Luzzatto, K. Mischaikow, H. Oka, P. Pilarczyk, published in Nonlinearity, Vol. 21, No. 9 (2008), 1967-1987, doi: 10.1088/0951-7715/21/9/002.

• Continuation classes for a non-linear Leslie population model with 3 varying parameters

  Open Research Data

  open access

  • P. Pilarczyk

  - series: A database of global dynamics for a nonlinear Leslie population model

  This dataset contains selected results of rigorous numerical computations conducted in the framework of the research described in the paper "A database schema for the analysis of global dynamics of multiparameter systems" by Z. Arai, W. Kalies, H. Kokubu, K. Mischaikow, H. Oka, P. Pilarczyk, published in SIAM Journal on Applied Dynamical Systems (SIADS),...

• Uniform expansion estimates in the quadratic map with the smallest critical neighborhood for which the expansion exponent λ is positive

  Open Research Data

  open access

  • P. Pilarczyk

  - series: Uniform expansion estimates in one-dimensional dynamics

  This dataset contains selected results of numerical computations described in the paper "Quantitative hyperbolicity estimates in one-dimensional dynamics" by S. Day, H. Kokubu, S. Luzzatto, K. Mischaikow, H. Oka, P. Pilarczyk, published in Nonlinearity, Vol. 21, No. 9 (2008), 1967-1987, doi: 10.1088/0951-7715/21/9/002.

• Uniform expansion estimates in the quadratic map as a function of the critical neighborhood size

  Open Research Data

  open access

  • P. Pilarczyk

  - series: Uniform expansion estimates in one-dimensional dynamics

  This dataset contains selected results of numerical computations described in the paper "Quantitative hyperbolicity estimates in one-dimensional dynamics" by S. Day, H. Kokubu, S. Luzzatto, K. Mischaikow, H. Oka, P. Pilarczyk, published in Nonlinearity, Vol. 21, No. 9 (2008), 1967-1987, doi: 10.1088/0951-7715/21/9/002.

• Uniform expansion estimates in the quadratic map as a function of the partition size, using the “critical” partition type

  Open Research Data

  open access

  • P. Pilarczyk

  - series: Uniform expansion estimates in one-dimensional dynamics

  This dataset contains selected results of numerical computations described in the paper "Quantitative hyperbolicity estimates in one-dimensional dynamics" by S. Day, H. Kokubu, S. Luzzatto, K. Mischaikow, H. Oka, P. Pilarczyk, published in Nonlinearity, Vol. 21, No. 9 (2008), 1967-1987, doi: 10.1088/0951-7715/21/9/002.

• Uniform expansion estimates in the quadratic map as a function of the parameter, using the “uniform” partition type

  Open Research Data

  open access

  • P. Pilarczyk

  - series: Uniform expansion estimates in one-dimensional dynamics

  This dataset contains selected results of numerical computations described in the paper "Quantitative hyperbolicity estimates in one-dimensional dynamics" by S. Day, H. Kokubu, S. Luzzatto, K. Mischaikow, H. Oka, P. Pilarczyk, published in Nonlinearity, Vol. 21, No. 9 (2008), 1967-1987, doi: 10.1088/0951-7715/21/9/002.

• Uniform expansion estimates in the quadratic map as a function of the partition size, using the Floyd–Warshall algorithm

  Open Research Data

  open access

  • P. Pilarczyk

  - series: Uniform expansion estimates in one-dimensional dynamics

  This dataset contains selected results of numerical computations described in the paper "Quantitative hyperbolicity estimates in one-dimensional dynamics" by S. Day, H. Kokubu, S. Luzzatto, K. Mischaikow, H. Oka, P. Pilarczyk, published in Nonlinearity, Vol. 21, No. 9 (2008), 1967-1987, doi: 10.1088/0951-7715/21/9/002.

• Uniform expansion estimates in the quadratic map as a function of the parameter, using the “critical” partition type

  Open Research Data

  open access

  • P. Pilarczyk

  - series: Uniform expansion estimates in one-dimensional dynamics

  This dataset contains selected results of numerical computations described in the paper "Quantitative hyperbolicity estimates in one-dimensional dynamics" by S. Day, H. Kokubu, S. Luzzatto, K. Mischaikow, H. Oka, P. Pilarczyk, published in Nonlinearity, Vol. 21, No. 9 (2008), 1967-1987, doi: 10.1088/0951-7715/21/9/002.

• Uniform expansion estimates in the quadratic map as a function of the parameter, using the “derivative” partition type

  Open Research Data

  open access

  • P. Pilarczyk

  - series: Uniform expansion estimates in one-dimensional dynamics

  This dataset contains selected results of numerical computations described in the paper "Quantitative hyperbolicity estimates in one-dimensional dynamics" by S. Day, H. Kokubu, S. Luzzatto, K. Mischaikow, H. Oka, P. Pilarczyk, published in Nonlinearity, Vol. 21, No. 9 (2008), 1967-1987, doi: 10.1088/0951-7715/21/9/002.

• Continuation classes for a non-linear Leslie population model with 2 varying parameters

  Open Research Data

  open access

  • P. Pilarczyk

  - series: A database of global dynamics for a nonlinear Leslie population model

  This dataset contains selected results of rigorous numerical computations conducted in the framework of the research described in the paper "A database schema for the analysis of global dynamics of multiparameter systems" by Z. Arai, W. Kalies, H. Kokubu, K. Mischaikow, H. Oka, P. Pilarczyk, published in SIAM Journal on Applied Dynamical Systems (SIADS),...

• Uniform expansion estimates in the quadratic map with the smallest critical neighborhood for which the expansion exponent λ0 is greater than 0.1

  Open Research Data

  open access

  • P. Pilarczyk

  - series: Uniform expansion estimates in one-dimensional dynamics

  This dataset contains selected results of numerical computations described in the paper "Quantitative hyperbolicity estimates in one-dimensional dynamics" by S. Day, H. Kokubu, S. Luzzatto, K. Mischaikow, H. Oka, P. Pilarczyk, published in Nonlinearity, Vol. 21, No. 9 (2008), 1967-1987, doi: 10.1088/0951-7715/21/9/002.

• Uniform expansion estimates in the unimodal map with γ=1.5 as a function of the parameter

  Open Research Data

  open access

  • P. Pilarczyk

  - series: Uniform expansion estimates in one-dimensional dynamics

  This dataset contains selected results of numerical computations described in the paper "Quantitative hyperbolicity estimates in one-dimensional dynamics" by S. Day, H. Kokubu, S. Luzzatto, K. Mischaikow, H. Oka, P. Pilarczyk, published in Nonlinearity, Vol. 21, No. 9 (2008), 1967-1987, doi: 10.1088/0951-7715/21/9/002.

• Uniform expansion estimates in the quadratic map as a function of the parameter, with a small critical neighborhood

  Open Research Data

  open access

  • P. Pilarczyk

  - series: Uniform expansion estimates in one-dimensional dynamics

  This dataset contains selected results of numerical computations described in the paper "Quantitative hyperbolicity estimates in one-dimensional dynamics" by S. Day, H. Kokubu, S. Luzzatto, K. Mischaikow, H. Oka, P. Pilarczyk, published in Nonlinearity, Vol. 21, No. 9 (2008), 1967-1987, doi: 10.1088/0951-7715/21/9/002.

• Uniform expansion estimates in the unimodal map with γ=2.5 as a function of the parameter

  Open Research Data

  open access

  • P. Pilarczyk

  - series: Uniform expansion estimates in one-dimensional dynamics

  This dataset contains selected results of numerical computations described in the paper "Quantitative hyperbolicity estimates in one-dimensional dynamics" by S. Day, H. Kokubu, S. Luzzatto, K. Mischaikow, H. Oka, P. Pilarczyk, published in Nonlinearity, Vol. 21, No. 9 (2008), 1967-1987, doi: 10.1088/0951-7715/21/9/002.

• Uniform expansion estimates in the quadratic map with the smallest critical neighborhood for which the expansion exponent λ is greater than 0.1

  Open Research Data

  open access

  • P. Pilarczyk

  - series: Uniform expansion estimates in one-dimensional dynamics

  This dataset contains selected results of numerical computations described in the paper "Quantitative hyperbolicity estimates in one-dimensional dynamics" by S. Day, H. Kokubu, S. Luzzatto, K. Mischaikow, H. Oka, P. Pilarczyk, published in Nonlinearity, Vol. 21, No. 9 (2008), 1967-1987, doi: 10.1088/0951-7715/21/9/002.

• Non-Newtonian Mathematics Instead of Non-Newtonian Physics: Dark Matter and Dark Energy from a Mismatch of Arithmetics

  Publication

  • M. Czachor

  - Foundations of Science - Year 2021

  Newtonian physics is based on Newtonian calculus applied to Newtonian dynamics. New paradigms such as ‘modified Newtonian dynamics’ (MOND) change the dynamics, but do not alter the calculus. However, calculus is dependent on arithmetic, that is the ways we add and multiply numbers. For example, in special relativity we add and subtract velocities by means of addition β1⊕β2=tanh(tanh−1(β1)+tanh−1(β2)), although multiplication β1⊙β2=tanh(tanh−1(β1)⋅tanh−1(β2)),...

  Full text available to download

• Morse decompositions for a non-linear Leslie population model with 2 varying parameters

  Open Research Data

  open access

  • P. Pilarczyk

  - series: A database of global dynamics for a nonlinear Leslie population model

  This dataset contains selected results of rigorous numerical computations conducted in the framework of the research described in the paper "A database schema for the analysis of global dynamics of multiparameter systems" by Z. Arai, W. Kalies, H. Kokubu, K. Mischaikow, H. Oka, P. Pilarczyk, published in SIAM Journal on Applied Dynamical Systems (SIADS),...

• Morse decompositions for a non-linear Leslie population model with 3 varying parameters

  Open Research Data

  open access

  • P. Pilarczyk

  - series: A database of global dynamics for a nonlinear Leslie population model

  This dataset contains selected results of rigorous numerical computations conducted in the framework of the research described in the paper "A database schema for the analysis of global dynamics of multiparameter systems" by Z. Arai, W. Kalies, H. Kokubu, K. Mischaikow, H. Oka, P. Pilarczyk, published in SIAM Journal on Applied Dynamical Systems (SIADS),...

• Conley-Morse graphs for a non-linear Leslie population model with 2 varying parameters

  Open Research Data

  open access

  • P. Pilarczyk

  - series: A database of global dynamics for a nonlinear Leslie population model

  This dataset contains selected results of rigorous numerical computations conducted in the framework of the research described in the paper "A database schema for the analysis of global dynamics of multiparameter systems" by Z. Arai, W. Kalies, H. Kokubu, K. Mischaikow, H. Oka, P. Pilarczyk, published in SIAM Journal on Applied Dynamical Systems (SIADS),...

• Conley-Morse graphs for a non-linear Leslie population model with 3 varying parameters

  Open Research Data

  open access

  • P. Pilarczyk

  - series: A database of global dynamics for a nonlinear Leslie population model

  This dataset contains selected results of rigorous numerical computations conducted in the framework of the research described in the paper "A database schema for the analysis of global dynamics of multiparameter systems" by Z. Arai, W. Kalies, H. Kokubu, K. Mischaikow, H. Oka, P. Pilarczyk, published in SIAM Journal on Applied Dynamical Systems (SIADS),...

• Continuation classes for a two-patch vaccination model

  Open Research Data

  open access

  • P. Pilarczyk

  - series: A database of global dynamics for a two-patch vaccination model

  This dataset contains selected results of rigorous numerical computations described in Section 5 of the paper "Rich bifurcation structure in a two-patch vaccination model" by D.H. Knipl, P. Pilarczyk, G. Röst, published in SIAM Journal on Applied Dynamical Systems (SIADS), Vol. 14, No. 2 (2015), pp. 980–1017, doi: 10.1137/140993934.

• Morse decompositions for a two-patch vaccination model

  Open Research Data

  open access

  • P. Pilarczyk

  - series: A database of global dynamics for a two-patch vaccination model

  This dataset contains selected results of rigorous numerical computations described in Section 5 of the paper "Rich bifurcation structure in a two-patch vaccination model" by D.H. Knipl, P. Pilarczyk, G. Röst, published in SIAM Journal on Applied Dynamical Systems (SIADS), Vol. 14, No. 2 (2015), pp. 980–1017, doi: 10.1137/140993934.

• Conley-Morse graphs for a two-patch vaccination model

  Open Research Data

  open access

  • P. Pilarczyk

  - series: A database of global dynamics for a two-patch vaccination model

  This dataset contains selected results of rigorous numerical computations described in Section 5 of the paper "Rich bifurcation structure in a two-patch vaccination model" by D.H. Knipl, P. Pilarczyk, G. Röst, published in SIAM Journal on Applied Dynamical Systems (SIADS), Vol. 14, No. 2 (2015), pp. 980–1017, doi: 10.1137/140993934.