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Elementary Introduction to Stochastic Finance in Discrete Time

Peter Jaeger

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p. 1-5

The Polish Digital Mathematics Library
Valuation Theory. Part I

Grzegorz Bancerek ; Hidetsune Kobayashi ; Artur Korniłowicz

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p. 7-14

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Functional Space C (ω), C 0 (ω)

Katuhiko Kanazashi ; Hiroyuki Okazaki ; Yasunari Shidama

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p. 15-22

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The Rotation Group

Karol Pąk

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p. 23-29

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Differentiable Functions on Normed Linear Spaces

Yasunari Shidama

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p. 31-40

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Planes and Spheres as Topological Manifolds. Stereographic Projection

Marco Riccardi

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p. 41-45

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Z-modules

Yuichi Futa ; Hiroyuki Okazaki ; Yasunari Shidama

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p. 47-59

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Morphology for Image Processing. Part I

Hiroshi Yamazaki ; Czesław Byliński ; Katsumi Wasaki

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p. 61-63

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The Differentiable Functions from R into R n

Keiko Narita ; Artur Korniłowicz ; Yasunari Shidama

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p. 65-71

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Some Basic Properties of Some Special Matrices. Part III

Xiquan Liang ; Tao Wang

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p. 73-77

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Riemann Integral of Functions from R into n -dimensional Real Normed Space

Keiichi Miyajima ; Artur Korniłowicz ; Yasunari Shidama

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p. 79-86

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Operations of Points on Elliptic Curve in Projective Coordinates

Yuichi Futa ; Hiroyuki Okazaki ; Daichi Mizushima ; Yasunari Shidama

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p. 87-95

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Fundamental Group of n-sphere for n ≥ 2

Marco Riccardi ; Artur Korniłowicz

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p. 97-104

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The Borsuk-Ulam Theorem

Artur Korniłowicz ; Marco Riccardi

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p. 105-112

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Higher-Order Partial Differentiation

Noboru Endou ; Hiroyuki Okazaki ; Yasunari Shidama

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p. 113-124

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Formalization of the Data Encryption Standard

Hiroyuki Okazaki ; Yasunari Shidama

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p. 125-146

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Semantics of MML Query

Grzegorz Bancerek

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p. 147-155

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Routh’s, Menelaus’ and Generalized Ceva’s Theorems

Boris A. Shminke

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p. 157-159

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Simple Graphs as Simplicial Complexes: the Mycielskian of a Graph

Piotr Rudnicki ; Lorna Stewart

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p. 161-174

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Extended Euclidean Algorithm and CRT Algorithm

Hiroyuki Okazaki ; Yosiki Aoki ; Yasunari Shidama

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p. 175-179

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Introduction to Rational Functions

Christoph Schwarzweller

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p. 181-191

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Transition of Consistency and Satisfiability under Language Extensions

Julian J. Schlöder ; Peter Koepke

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p. 193-197

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The Gödel Completeness Theorem for Uncountable Languages

Julian J. Schlöder ; Peter Koepke

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p. 199-203

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Quotient Module of Z-module

Yuichi Futa ; Hiroyuki Okazaki ; Yasunari Shidama

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p. 205-214

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The Derivations of Temporal Logic Formulas

Mariusz Giero

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p. 215-219

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The Properties of Sets of Temporal Logic Subformulas

Mariusz Giero

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p. 221-226

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Weak Completeness Theorem for Propositional Linear Time Temporal Logic

Mariusz Giero

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p. 227-234

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The Friendship Theorem

Karol Pąk

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p. 235-237

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Free Term Algebras

Grzegorz Bancerek

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p. 239-256

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Posterior Probability on Finite Set

Hiroyuki Okazaki

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p. 257-263

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Basic Properties of Primitive Root and Order Function

Na Ma ; Xiquan Liang

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p. 265-269

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Banach’s Continuous Inverse Theorem and Closed Graph Theorem

Hideki Sakurai ; Hiroyuki Okazaki ; Yasunari Shidama

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p. 271-274

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Free ℤ-module

Yuichi Futa ; Hiroyuki Okazaki ; Yasunari Shidama

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p. 275-280

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Cayley-Dickson Construction

Artur Korniłowicz

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p. 281-290

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Contracting Mapping on Normed Linear Space

Keiichi Miyajima ; Artur Korniłowicz ; Yasunari Shidama

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p. 291-301

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Products in Categories without Uniqueness of cod and dom

Artur Korniłowicz

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p. 303-307

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Program Algebra over an Algebra

Grzegorz Bancerek

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p. 309-341

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Isomorphisms of Direct Products of Finite Cyclic Groups

Kenichi Arai ; Hiroyuki Okazaki ; Yasunari Shidama

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p. 343-347

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On L 1 Space Formed by Complex-Valued Partial Functions

Yasushige Watase ; Noboru Endou ; Yasunari Shidama

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p. 349-357

The Polish Digital Mathematics Library