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Karol Pąk
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All published works
Action
Title
Year
Authors
+
PDF
Chat
Conway Normal Form: Bridging Approaches for Comprehensive Formalization of Surreal Numbers
2024
Karol Pąk
Cezary Kaliszyk
+
PDF
Chat
Prime Representing Polynomial with 10 Unknowns – Introduction. Part II
2022
Karol Pąk
+
Formalizing a Diophantine Representation of the Set of Prime Numbers
2022
Karol Pąk
Cezary Kaliszyk
+
PDF
Chat
Prime Representing Polynomial
2021
Karol Pąk
+
PDF
Chat
AIM Loops and the AIM Conjecture
2019
Chad E. Brown
Karol Pąk
+
PDF
Chat
Diophantine Sets. Part II
2019
Karol Pąk
+
PDF
Chat
A Tale of Two Set Theories
2019
Chad E. Brown
Karol Pąk
+
Diophantine Sets. Part II.
2019
Karol Pąk
+
PDF
Chat
Diophantine sets. Preliminaries
2018
Karol Pąk
+
Progress in the Formalization of Matiyasevich's Theorem in the Mizar System.
2018
Karol Pąk
+
Diophantine sets. Preliminaries.
2018
Karol Pąk
+
PDF
Chat
The Matiyasevich Theorem. Preliminaries
2017
Karol Pąk
+
PDF
Chat
Pell’s Equation
2017
Marcin Acewicz
Karol Pąk
+
PDF
Chat
Vieta’s Formula about the Sum of Roots of Polynomials
2017
Artur Korniłowicz
Karol Pąk
+
PDF
Chat
Leibniz Series for π
2016
Karol Pąk
+
Topological Foundations for a Formal Theory of Manifolds.
2016
Karol Pąk
+
Leibniz Series for π.
2016
Karol Pąk
+
PDF
Chat
Euler’s Partition Theorem
2015
Karol Pąk
+
PDF
Chat
Flexary Operations
2015
Karol Pąk
+
Readable Formalization of Euler's Partition Theorem in Mizar.
2015
Karol Pąk
+
PDF
Chat
Improving legibility of natural deduction proofs is not trivial
2014
Karol Pąk
+
Bertrand’s Ballot Theorem
2014
Karol Pąk
+
PDF
Chat
Topological Manifolds
2014
Karol Pąk
+
PDF
Chat
Tietze Extension Theorem for n-dimensional Spaces
2014
Karol Pąk
+
PDF
Chat
Brouwer Invariance of Domain Theorem
2014
Karol Pąk
+
The Rotation Group
2012
Karol Pąk
+
PDF
Chat
Linear Transformations of Euclidean Topological Spaces. Part II
2011
Karol Pąk
+
PDF
Chat
Brouwer Fixed Point Theorem for Simplexes
2011
Karol Pąk
+
PDF
Chat
Brouwer Fixed Point Theorem in the General Case
2011
Karol Pąk
+
PDF
Chat
The Geometric Interior in Real Linear Spaces
2010
Karol Pąk
+
PDF
Chat
Sperner's Lemma
2010
Karol Pąk
+
PDF
Chat
Abstract Simplicial Complexes
2010
Karol Pąk
+
PDF
Chat
Jordan Matrix Decomposition
2008
Karol Pąk
+
PDF
Chat
Eigenvalues of a Linear Transformation
2008
Karol Pąk
+
PDF
Chat
Basic Properties of the Rank of Matrices over a Field
2007
Karol Pąk
+
PDF
Chat
Laplace Expansion
2007
Karol Pąk
Andrzej Trybulec
+
The Nagata-Smirnov Theorem. Part II 1
2004
Karol Pąk
Common Coauthors
Coauthor
Papers Together
Chad E. Brown
2
Andrzej Trybulec
1
Marcin Acewicz
1
Cezary Kaliszyk
1
Artur Korniłowicz
1
Cezary Kaliszyk
1
Commonly Cited References
Action
Title
Year
Authors
# of times referenced
+
Some Basic Properties of Sets
2004
Czesław Byliński
15
+
Segments of Natural Numbers and Finite Sequences
1990
Grzegorz Bancerek
Krzysztof Hryniewiecki
15
+
Vectors in Real Linear Space
1990
Wojciech A. Trybulec
12
+
Abelian Groups, Fields and Vector Spaces 1
1990
Eugeniusz Kusak
8
+
The Euclidean Space
1991
Agata Darmochwa
6
+
Some Properties of Some Special Matrices
2005
Xiaopeng Yue
Xiquan Liang
Zhongpin Sun
5
+
Brouwer Fixed Point Theorem for Disks on the Plane
2005
Artur Korni
Yasunari Shidama
5
+
A Borsuk Theorem on Homotopy Types
1991
Andrzej Trybulec
5
+
Tarski Grothendieck Set Theory
1990
Andrzej Trybulec
5
+
Transpose Matrices and Groups of Permutations
1991
Katarzyna Jankowska
5
+
Linear Combinations in Vector Space
1990
Wojciech A. Trybulec
4
+
PDF
Chat
Convex Sets and Convex Combinations on Complex Linear Spaces
2008
Hidenori Matsuzaki
Noboru Endou
Yasunari Shidama
4
+
Subspaces and Cosets of Subspaces in Vector Space
1990
Wojciech A. Trybulec
4
+
PDF
Chat
Basic Properties of the Rank of Matrices over a Field
2007
Karol Pąk
4
+
Binary Operations on Finite Sequences
1990
Wojciech A. Trybulec
4
+
Real Sequences and Basic Operations on Them
2004
Jarosław Kotowicz
4
+
PDF
Chat
Arithmetic Operations on Functions from Sets into Functional Sets
2009
Artur Korniłowicz
3
+
PDF
Chat
Pell’s Equation
2017
Marcin Acewicz
Karol Pąk
3
+
Logic of Mathematics
1997
Zofia Adamowicz
Paweł Zbierski
3
+
PDF
Chat
Abstract Simplicial Complexes
2010
Karol Pąk
3
+
PDF
Chat
The Matiyasevich Theorem. Preliminaries
2017
Karol Pąk
3
+
BASIS FOR A VECTOR SPACE
2020
3
+
Product of Families of Groups and Vector Spaces
1992
Anna Lango
Grzegorz Bancerek
3
+
PDF
Chat
The Rank+Nullity Theorem
2007
Jesse Alama
3
+
Paracompact and Metrizable Spaces
1991
Leszek Borys
3
+
PDF
Chat
Determinant of Some Matrices of Field Elements
2006
Yatsuka Nakamura
3
+
Fundamental theorem of algebra
2003
3
+
Primes are nonnegative values of a polynomial in 10 variables
1981
Yu. V. Matijasevič
2
+
PDF
Chat
Sperner's Lemma
2010
Karol Pąk
2
+
PDF
Chat
Further results on Hilbert’s Tenth Problem
2020
Zhi‐Wei Sun
2
+
Rings and Modules - Part II
1991
Micha l Muzalewski
2
+
Countable Sets and Hessenberg's Theorem
1991
Grzegorz Bancerek
2
+
The Rotation Group
2012
Karol Pąk
2
+
PDF
Chat
The Correspondence Between n-dimensional Euclidean Space and the Product of n Real Lines
2010
Artur Korniłowicz
2
+
Lectures on Integer Partitions
2009
Herbert S. Wilf
2
+
Hilbert's Tenth Problem is Unsolvable
1973
Martin Davis
2
+
Subspaces and Cosets of Subspaces in Real Linear Space
1990
Wojciech A. Trybulec
2
+
PDF
Chat
The Fundamental Theorem of Algebra
2001
2
+
Basis of Real Linear Space
1990
Wojciech A. Trybulec
2
+
Diophantine Representation of the Set of Prime Numbers
1976
James P. Jones
Daihachiro Sato
Hideo Wada
Douglas P. Wiens
2
+
PDF
Chat
Preliminaries to Classical First Order Model Theory
2011
Marco B. Caminati
2
+
Linear Combinations in Real Linear Space
1990
Wojciech A. Trybulec
2
+
PDF
Chat
The Perfect Number Theorem and Wilson's Theorem
2009
Marco Riccardi
1
+
PDF
Chat
Uniform Boundedness Principle
2008
Hideki Sakurai
Hisayoshi Kunimune
Yasunari Shidama
1
+
The legacy of Leonhard Euler: a tricentennial tribute
2010
Lokenath Debnath
1
+
Foundations of Set Theory
2012
Abraham A. Fraenkel
Yehoshua Bar‐Hillel
1
+
PDF
Chat
Tietze Extension Theorem for n-dimensional Spaces
2014
Karol Pąk
1
+
A formal proof of the four color theorem
2009
Limin Xiang
1
+
Real Exponents and Logarithms 1
1991
Konrad Raczkowski
1
+
PDF
Chat
Partial Differentiation on Normed Linear Spaces Rn
2007
Noboru Endou
Yasunari Shidama
Keiichi Miyajima
1