Journal: Formalized Mathematics

Volume 16, Issue 1-4

1 -- 5Jesse Alama. The Vector Space of Subsets of a Set Based on Symmetric Difference
7 -- 17Jesse Alama. Euler's Polyhedron Formula
19 -- 21Hideki Sakurai, Hisayoshi Kunimune, Yasunari Shidama. Uniform Boundedness Principle
23 -- 28Li Yan, Xiquan Liang, JunJie Zhao. Gauss Lemma and Law of Quadratic Reciprocity
29 -- 33Michal Trybulec. Regular Expression Quantifiers - at least m Occurrences
35 -- 43Karol Pak. Complete Spaces
45 -- 49Bo Li 0008, Yanping Zhuang, Xiquan Liang. Difference and Difference Quotient. Part II
51 -- 55Keiko Narita, Noboru Endou, Yasunari Shidama. The First Mean Value Theorem for Integrals
57 -- 63Noboru Endou, Yasunari Shidama, Keiko Narita. Egoroff's Theorem
65 -- 71Tao Sun, JunJie Zhao, Xiquan Liang. BCI-algebras with Condition (S) and their Properties
73 -- 80Katsumi Wasaki. Stability of n-Bit Generalized Full Adder Circuits (GFAs). Part II
81 -- 90Karol Pak. Solutions of Linear Equations
91 -- 96Jessica Enright, Piotr Rudnicki. Helly Property for Subtrees
97 -- 101Marco Riccardi. Heron's Formula and Ptolemy's Theorem
103 -- 107Hiroyuki Okazaki, Yasunari Shidama. Uniqueness of Factoring an Integer and Multiplicative Group Z/pZ*
109 -- 114Chenglong Wu, Yuzhong Ding. Ideals of BCI-algebras and their Properties
115 -- 122Yasunari Shidama, Hikofumi Suzuki, Noboru Endou. Banach Algebra of Bounded Functionals
123 -- 133Hidenori Matsuzaki, Noboru Endou, Yasunari Shidama. Convex Sets and Convex Combinations on Complex Linear Spaces
135 -- 139Fuguo Ge. Inner Products, Group, Ring of Quaternion Numbers
141 -- 145JunJie Zhao, Xiquan Liang, Li Yan. Several Higher Differentiation Formulas of Special Functions
147 -- 158Xiquan Liang, Bing Xie. Inverse Trigonometric Functions Arctan and Arccot
159 -- 165Bing Xie, Xiquan Liang, Fuguo Ge. Inverse Trigonometric Functions Arcsec and Arccosec
167 -- 175Noboru Endou, Keiko Narita, Yasunari Shidama. The Lebesgue Monotone Convergence Theorem
177 -- 194Grzegorz Bancerek. Mizar Analysis of Algorithms: Algorithms over Integers
195 -- 202Yatsuka Nakamura, Kunio Oniumi, Wenpai Chang. Invertibility of Matrices of Field Elements
203 -- 205Marco Riccardi. Ramsey's Theorem
207 -- 230Grzegorz Bancerek. Towards the Construction of a Model of Mizar Concepts
231 -- 245Kazuhisa Ishida. Model Checking. Part II
247 -- 252Christoph Schwarzweller. Modular Integer Arithmetic
253 -- 258Tao Sun, Weibo Pan, Chenglong Wu, Xiquan Liang. General Theory of Quasi-Commutative BCI-algebras
259 -- 267Karol Pak. Block Diagonal Matrices
269 -- 275Karol Pak. Linear Map of Matrices
277 -- 282Elzbieta Madra, Adam Grabowski. Orthomodular Lattices
283 -- 288Yatsuka Nakamura, Hisashi Ito. Basic Properties and Concept of Selected Subsequence of Zero Based Finite Sequences
289 -- 295Karol Pak. Eigenvalues of a Linear Transformation
297 -- 303Karol Pak. Jordan Matrix Decomposition
305 -- 309Noboru Endou, Keiko Narita, Yasunari Shidama. Fatou's Lemma and the Lebesgue's Convergence Theorem
311 -- 317Masahiko Yamazaki, Hiroshi Yamazaki, Yasunari Shidama. Extended Riemann Integral of Functions of Real Variable and One-sided Laplace Transform
319 -- 324Keiko Narita, Noboru Endou, Yasunari Shidama. Integral of Complex-Valued Measurable Function
325 -- 332Grzegorz Bancerek, Yasunari Shidama. Introduction to Matroids
333 -- 338Bing Xie, Xiquan Liang, Hongwei Li. Partial Differentiation of Real Binary Functions
339 -- 353Kazuhisa Ishida, Yasunari Shidama. Model Checking. Part III
355 -- 360Xiaopeng Yue, Xiquan Liang. Basic Properties of Circulant Matrices and Anti-Circular Matrices
361 -- 369Yasushige Watase, Noboru Endou, Yasunari Shidama. On L^1 Space Formed by Real-Valued Partial Functions
371 -- 376Yuzhong Ding, Fuguo Ge, Chenglong Wu. BCI-homomorphisms
377 -- 387Katsumi Wasaki. Stability of the 4-2 Binary Addition Circuit Cells. Part I
389 -- 399Fuguo Ge, Bing Xie. Several Differentiation Formulas of Special Functions. Part VII
401 -- 403Hideki Sakurai, Hisayoshi Kunimune, Yasunari Shidama. Open Mapping Theorem