Sommaire

The Real Vector Spaces of Finite Sequences are Finite Dimensional

Yatsuka Nakamura ; Artur Korniłowicz ; Nagato Oya ; Yasunari Shidama

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p. 1-9

The Polish Digital Mathematics Library
Several Integrability Formulas of Some Functions, Orthogonal Polynomials and Norm Functions

Bo Li ; Yanping Zhuang ; Bing Xie ; Pan Wang

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p. 11-21

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Several Integrability Formulas of Special Functions. Part II

Bo Li ; Yanping Zhuang ; Yanhong Men ; Xiquan Liang

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p. 23-35

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Cell Petri Net Concepts

Mitsuru Jitsukawa ; Pauline Kawamoto ; Yasunari Shidama ; Yatsuka Nakamura

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p. 37-42

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Arithmetic Operations on Functions from Sets into Functional Sets

Artur Korniłowicz

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p. 43-60

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Some Operations on Quaternion Numbers

Bo Li ; Xiquan Liang ; Pan Wang ; Yanping Zhuang

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p. 61-65

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Complex Function Differentiability

Chanapat Pacharapokin ; Hiroshi Yamazaki ; Yasunari Shidama ; Yatsuka Nakamura

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p. 67-72

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Kolmogorov's Zero-One Law

Agnes Doll

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p. 73-77

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Second-Order Partial Differentiation of Real Binary Functions

Bing Xie ; Xiquan Liang ; Xiuzhuan Shen

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p. 79-87

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The Measurability of Complex-Valued Functional Sequences

Keiko Narita ; Noboru Endou ; Yasunari Shidama

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p. 89-97

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Collective Operations on Number-Membered Sets

Artur Korniłowicz

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p. 99-115

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Solution of Cubic and Quartic Equations

Marco Riccardi

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p. 117-122

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The Perfect Number Theorem and Wilson's Theorem

Marco Riccardi

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p. 123-128

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Probability on Finite Set and Real-Valued Random Variables

Hiroyuki Okazaki ; Yasunari Shidama

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p. 129-136

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Lebesgue's Convergence Theorem of Complex-Valued Function

Keiko Narita ; Noboru Endou ; Yasunari Shidama

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p. 137-145

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The Cauchy-Riemann Differential Equations of Complex Functions

Hiroshi Yamazaki ; Yasunari Shidama ; Yatsuka Nakamura ; Chanapat Pacharapokin

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p. 147-149

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Properties of Primes and Multiplicative Group of a Field

Kenichi Arai ; Hiroyuki Okazaki

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p. 151-155

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Hopf Extension Theorem of Measure

Noboru Endou ; Hiroyuki Okazaki ; Yasunari Shidama

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p. 157-162

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Labelled State Transition Systems

Michał Trybulec

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p. 163-171

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Probability on Finite and Discrete Set and Uniform Distribution

Hiroyuki Okazaki

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p. 173-178

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Riemann Integral of Functions from R into R n

Keiichi Miyajima ; Yasunari Shidama

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p. 179-185

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Basic Properties of Even and Odd Functions

Bo Li ; Yanhong Men

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p. 187-192

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Equivalence of Deterministic and Nondeterministic Epsilon Automata

Michał Trybulec

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p. 193-199

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Basic Properties of Metrizable Topological Spaces

Karol Pąk

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p. 201-205

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Small Inductive Dimension of Topological Spaces

Karol Pąk

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p. 207-212

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On Rough Subgroup of a Group

Xiquan Liang ; Dailu Li

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p. 213-217

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Small Inductive Dimension of Topological Spaces. Part II

Karol Pąk

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p. 219-222

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Dilworth's Decomposition Theorem for Posets

Piotr Rudnicki

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p. 223-232

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Complex Integral

Masahiko Yamazaki ; Hiroshi Yamazaki ; Yasunari Shidama ; Katsumi Wasaki

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p. 233-236

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On the Lattice of Intervals and Rough Sets

Adam Grabowski ; Magdalena Jastrzębska

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p. 237-244

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Basic Properties of Periodic Functions

Bo Li ; Dailu Li ; Yanhong Men ; Xiquan Liang

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p. 245-248

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Epsilon Numbers and Cantor Normal Form

Grzegorz Bancerek

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p. 249-256

The Polish Digital Mathematics Library