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Formalized Mathematics, Volume 16
Volume 16, Numbers 1-4, 2008
- Jesse Alama

:
The Vector Space of Subsets of a Set Based on Symmetric Difference. 1-5 - Jesse Alama

:
Euler's Polyhedron Formula. 7-17 - Hideki Sakurai, Hisayoshi Kunimune, Yasunari Shidama

:
Uniform Boundedness Principle. 19-21 - Li Yan, Xiquan Liang, Junjie Zhao:

Gauss Lemma and Law of Quadratic Reciprocity. 23-28 - Michal Trybulec:

Regular Expression Quantifiers - at least m Occurrences. 29-33 - Karol Pak

:
Complete Spaces. 35-43 - Bo Li, Yanping Zhuang, Xiquan Liang:

Difference and Difference Quotient. Part II. 45-49 - Keiko Narita, Noboru Endou

, Yasunari Shidama
:
The First Mean Value Theorem for Integrals. 51-55 - Noboru Endou

, Yasunari Shidama
, Keiko Narita:
Egoroff's Theorem. 57-63 - Tao Sun, Junjie Zhao, Xiquan Liang:

BCI-algebras with Condition (S) and their Properties. 65-71 - Katsumi Wasaki

:
Stability of n-Bit Generalized Full Adder Circuits (GFAs). Part II. 73-80 - Karol Pak

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Solutions of Linear Equations. 81-90 - Jessica A. Enright

, Piotr Rudnicki:
Helly Property for Subtrees. 91-96 - Marco Riccardi:

Heron's Formula and Ptolemy's Theorem. 97-101 - Hiroyuki Okazaki

, Yasunari Shidama
:
Uniqueness of Factoring an Integer and Multiplicative Group Z/pZ*. 103-107 - Chenglong Wu, Yuzhong Ding:

Ideals of BCI-algebras and their Properties. 109-114 - Yasunari Shidama

, Hikofumi Suzuki, Noboru Endou
:
Banach Algebra of Bounded Functionals. 115-122 - Hidenori Matsuzaki, Noboru Endou

, Yasunari Shidama
:
Convex Sets and Convex Combinations on Complex Linear Spaces. 123-133 - Fuguo Ge:

Inner Products, Group, Ring of Quaternion Numbers. 135-139 - Junjie Zhao, Xiquan Liang, Li Yan:

Several Higher Differentiation Formulas of Special Functions. 141-145 - Xiquan Liang, Bing Xie:

Inverse Trigonometric Functions Arctan and Arccot. 147-158 - Bing Xie, Xiquan Liang, Fuguo Ge:

Inverse Trigonometric Functions Arcsec and Arccosec. 159-165 - Noboru Endou

, Keiko Narita, Yasunari Shidama
:
The Lebesgue Monotone Convergence Theorem. 167-175 - Grzegorz Bancerek:

Mizar Analysis of Algorithms: Algorithms over Integers. 177-194 - Yatsuka Nakamura, Kunio Oniumi, Wenpai Chang:

Invertibility of Matrices of Field Elements. 195-202 - Marco Riccardi:

Ramsey's Theorem. 203-205 - Grzegorz Bancerek:

Towards the Construction of a Model of Mizar Concepts. 207-230 - Kazuhisa Ishida:

Model Checking. Part II. 231-245 - Christoph Schwarzweller

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Modular Integer Arithmetic. 247-252 - Tao Sun, Weibo Pan, Chenglong Wu, Xiquan Liang:

General Theory of Quasi-Commutative BCI-algebras. 253-258 - Karol Pak

:
Block Diagonal Matrices. 259-267 - Karol Pak

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Linear Map of Matrices. 269-275 - Elzbieta Madra, Adam Grabowski:

Orthomodular Lattices. 277-282 - Yatsuka Nakamura, Hisashi Ito:

Basic Properties and Concept of Selected Subsequence of Zero Based Finite Sequences. 283-288 - Karol Pak

:
Eigenvalues of a Linear Transformation. 289-295 - Karol Pak

:
Jordan Matrix Decomposition. 297-303 - Noboru Endou

, Keiko Narita, Yasunari Shidama
:
Fatou's Lemma and the Lebesgue's Convergence Theorem. 305-309 - Masahiko Yamazaki, Hiroshi Yamazaki, Yasunari Shidama

:
Extended Riemann Integral of Functions of Real Variable and One-sided Laplace Transform. 311-317 - Keiko Narita, Noboru Endou

, Yasunari Shidama
:
Integral of Complex-Valued Measurable Function. 319-324 - Grzegorz Bancerek, Yasunari Shidama

:
Introduction to Matroids. 325-332 - Bing Xie, Xiquan Liang, Hongwei Li:

Partial Differentiation of Real Binary Functions. 333-338 - Kazuhisa Ishida, Yasunari Shidama

:
Model Checking. Part III. 339-353 - Xiaopeng Yue, Xiquan Liang:

Basic Properties of Circulant Matrices and Anti-Circular Matrices. 355-360 - Yasushige Watase, Noboru Endou

, Yasunari Shidama
:
On L^1 Space Formed by Real-Valued Partial Functions. 361-369 - Yuzhong Ding, Fuguo Ge, Chenglong Wu:

BCI-homomorphisms. 371-376 - Katsumi Wasaki

:
Stability of the 4-2 Binary Addition Circuit Cells. Part I. 377-387 - Fuguo Ge, Bing Xie:

Several Differentiation Formulas of Special Functions. Part VII. 389-399 - Hideki Sakurai, Hisayoshi Kunimune, Yasunari Shidama

:
Open Mapping Theorem. 401-403

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