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1.

図書

図書
加藤, 直樹 (1951-)
出版情報: 東京 : 朝倉書店
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2.

図書

図書
Sara Baase著 ; 岩野和生, 加藤直樹, 永持仁訳
出版情報: 東京 : アジソン・ウェスレイ・パブリッシャーズ・ジャパン , 東京 : 星雲社 (発売), 1998.5  xv, 439p ; 24cm
シリーズ名: Higher education computer series ; 32
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3.

図書

図書
加藤直樹, 大崎純, 谷明勲著
出版情報: 東京 : 共立出版, 2002.2  215p ; 24cm
シリーズ名: 造形ライブラリー ; 03
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4.

図書

図書
加藤直樹著
出版情報: 東京 : コロナ社, 2008.1  viii, 221p ; 21cm
シリーズ名: コンピュータサイエンス教科書シリーズ / 曽和将容, 岩田彰, 富田悦次編集委員 ; 19
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5.

図書

図書
加藤直樹, 羽室行信, 矢田勝俊著
出版情報: 東京 : 朝倉書店, 2008.9  viii, 194p ; 21cm
シリーズ名: シリーズオペレーションズ・リサーチ ; 2
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6.

図書

東工大
目次DB

図書
東工大
目次DB
Toshihide Ibaraki, Naoki Katoh, Hirotaka Ono (eds.)
出版情報: Berlin ; Tokyo : Springer, c2003  xvii, 748 p. ; 24 cm
シリーズ名: Lecture notes in computer science ; 2906
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目次情報: 続きを見る
Invited Talk
   Interactive Proofs for Quantum Computation Andrew Chi-Chih Yao 1
   Drawing Plane Graphs Takao Nishizeki 2
1A Computational Geometry I
   Linear Time Algorithm for Approximating a Curve by a Single-Peaked Curve Jinhee Chun, Kunihiko Sadakane, Takeshi Tokuyama 6
   A Dynamic Dictionary for Priced Information with Application Anil Maheshwari, Michiel Smid 16
   Voronoi Diagram in the Flow Field Tetsushi Nishida, Kokichi Sugihara 26
   Polygonal Path Approximation: A Query Based Approach Ovidiu Daescu, Ningfang Mi 36
1B Graph and Combinatorial Algorithms I
   A Vertex Incremental Approach for Dynamically Maintaining Chordal Graphs Anne Berry, Pinar Heggernes, Yngve Villanger 47
   Finding the Maximum Common Subgraph of a Partial κ-Tree and a Graph with a Polynomially Bounded Number of Spanning Trees Atsuko Yamaguchi, Hiroshi Mamitsuka 58
   Hotlink Enhancement Algorithms for Web Directories Ori Gerstel, Shay Kutten, Rachel Matichin, David Peleg 68
   Finding a Length-Constrained Maximum-Density Path in a Tree Rung-Ren Lin, Wen-Hsiung Kuo, Kun-Mao Chao 78
2A Computational Complexity I
   The Intractability of Computing the Hamming Distance Bodo Manthey, Ruediger Reischuk 88
   Infinitely-Often Autoreducible Sets Richard Beigel, Lance Fortnow, Frank Stephan 98
   Limiting Negations in Bounded-Depth Circuits: An Extension of Markov's Theorem Shao Chin Sung, Keisuke Tanaka 108
   Computational Complexity Measures of Multipartite Quantum Entanglement Tomoyuki Yamakami 117
2B Graph and Combinatorial Algorithms II
   A New Simple Algorithm for the Maximum-Weight Independent Set Problem on Circle Graphs Gabriel Valiente 129
   Polynomial Time 2-Approximation Algorithms for the Minmax Subtree Cover Probem Hiroshi Nagamochi, Kohei Okada 138
   Labeled Search Trees and Amortized Analysis: Improved Upper Bounds for NP-Hard Problems Jianer Chen, Iyad A. Kanj, Ge Xia 148
   A New Translation from Semi-extended Regular Expressions into NFAs and Its Application to an Approximate Matching Problem Hiroaki Yamamoto 158
3A Quantum Computation
   The Quantum Query Complexity of 0-1 Knapsack and Associated Claw Problems V. Arvind, Rainer Schuler 168
   Non-interactive Quantum Perfect and Statistical Zero-Knowledge Hirotada Kobayashi 178
   Quantum Merlin-Arthur Proof Systems: Are Multiple Merlins More Helpful to Arthur? Hirotada Kobayashi, Keiji Matsumoto, Tomoyuki Yamakami 189
   A Faster Lattice Reduction Method Using Quantum Search Christoph Ludwig 199
3B Graph and Combinatorial Algorithms III
   Three Sorting Algorithms Using Priority Queues Amr Elmasry 209
   Lower Bounds on Correction Networks Grzegorz Stachowiak 221
   Approximate Regular Expression Searching with Arbitrary Integer Weights Gonzalo Navarro 230
   Constructing Compressed Suffix Arrays with Large Alphabets Wing-Kai Hon, Tak-Wah Lam, Kunihiko Sadakane, Wing-Kin Sung 240
4A Computational Geometry II
   On the Geometric Dilation of Finite Point Sets Annette Ebbers-Baumann, Ansgar Gruene, Rolf Klein 250
   On Computing All Immobilizing Grasps of a Simple Polygon with Few Contacts Jae-Sook Cheong, Herman J. Haverkort, A. Frank van der Stappen 260
   Optimal Point Set Projections onto Regular Grids Jose Miguel Diaz-Banez, Ferran Hurtado, Mario Alberto Lopez, J. Antoni Sellares 270
4B Combinatorial Optimization I
   An Approximation Algorithm for Dissecting a Rectangle into Rectangles with Specified Areas Hiroshi Nagamochi, Yuusuke Abe 280
   A Faster Algorithm for Two-Variable Integer Programming Friedrich Eisenbrand, Soeren Laue 290
   Efficient Algorithms for Generation of Combinatorial Covering Suites Adrian Dumitrescu 300
5A Scheduling
   A Better Approximation for the Two-Machine Flowshop Scheduling Problem with Time Lags Yoshiyuki Karuno, Hiroshi Nagamochi 309
   On Minimizing Average Weighted Completion Time: A PTAS for the Job Shop Problem with Release Dates Aleksei V. Fishkin, Klaus Jansen, Monaldo Mastrolilli 319
   Online Scheduling of Parallel Jobs with Dependencies on 2-Dimensional Meshes Deshi Ye, Guochuan Zhang 329
5B Computational Biology
   Efficient Algorithms for Descendent Subtrees Comparison of Phylogenetic Trees with Applications to Co-evolutionary Classifications in Bacterial Genome Yaw-Ling Lin, Tsan-Sheng Hsu 339
   Settling the Intractability of Multiple Alignment Isaac Elias 352
   Efficient Algorithms for Optimizing Whole Genome Alignment with Noise T.W. Lam, N. Lu, H.F. Ting, Prudence W.H. Wong, S.M. Yiu 364
6A Computational Geometry III
   Segmenting Doughnut-Shaped Objects in Medical Images Xiaodong Wu 375
   On the Locality Properties of Space-Filling Curves H.K. Dai, H.C. Su 385
   Geometric Restrictions on Producible Polygonal Protein Chains Erik D. Demaine, Stefan Langerman, Joseph O'Rourke 395
   Symmetric Layout of Disconnected Graphs Seok-Hee Hong, Peter Eades 405
6B Graph and Combinatorial Algorithms IV
   Approximation Hardness of Minimum Edge Dominating Set and Minimum Maximal Matching Miroslav Chlebik, Janka Chlebikova 415
   Enumerating Global Roundings of an Outerplanar Graph Nadia Takki-Chebihi, Takeshi Tokuyama 425
   Augmenting Forests to Meet Odd Diameter Requirements Toshimasa Ishii, Shigeyuki Yamamoto, Hiroshi Nagamochi 434
   On the Existence and Determination of Satisfactory Partitions in a Graph Cristina Bazgan, Zsolt Tuza, Daniel Vanderpooten 444
7A Distributed and Parallel Algorithms
   A Turn Function Scheme Realized in the Asynchronous Single-Writer/Multi-reader Shared Memory Model Tom Altman, Yoshihide Igarashi, Michiko Omori 454
   An Optimal Parallel Algorithm for c-Vertex-Ranking of Trees Md. Abul Kashem, M. Ziaur Rahman 464
7B Graph and Combinatorial Algorithms V
   The Student-Project Allocation Problem David J. Abraham, Robert W. Irving, David F. Manlove 474
   Algorithms for Enumerating Circuits in Matroids Endre Boros, Khaled Elbassioni, Vladimir Gurvich, Leonid Khachiyan 485
   A Generalized Gale-Shapley Algorithm for a Discrete-Concave Stable-Marriage Model Akinobu Eguchi, Satoru Fujishige, Akihisa Tamura 495
8A Data Structure
   Succinct Data Structures for Searchable Partial Sums Wing-Kai Hon, Kunihiko Sadakane, Wing-Kin Sung 505
   Range Mode and Range Median Queries on Lists and Trees Danny Krizanc, Pat Morin, Michiel Smid 517
   Quasi-Perfect Minimally Adaptive q-ary Search with Unreliable Tests Ferdinando Cicalese, Christian Deppe 527
   New Ways to Construct Binary Search Trees Travis Gagie 537
8B Graph and Combinatorial Algorithms VI
   Improved Approximation Algorithms for Optimization Problems in Graphs with Superlogarithmic Treewidth Artur Czumaj, Andrzej Lingas, Johan Nilsson 544
   Biconnectivity on Symbolically Represented Graphs: A Linear Solution Raffaella Gentilini, Alberto Policriti 554
   A Dynamic Data Structure for Maintaining Disjoint Paths Information in Digraphs Torsten Tholey 565
   Deterministic Algorithm for the t-Threshold Set Problem Jeremy Barbay, Claire Kenyon 575
9A Combinatorial and Network Optimization
   Energy-Efficient Wireless Network Design Ioannis Caragiannis, Christos Kaklamanis, Panagiotis Kanellopoulos 585
   Wavelength Conversion in Shortest-Path All-Optical Networks Thomas Erlebach, Stamatis Stefanakos 595
   A Heuristic for the Stacker Crane Problem on Trees which Is Almost Surely Exact Amin Coja-Oghlan, Sven O. Krumke, Till Nierhoff 605
   Flexible Train Rostering Stephan Eidenbenz, Aris Pagourtzis, Peter Widmayer 615
9B Computational Complexity and Cryptography
   Counting Complexity Classes over the Reals I: The Additive Case Peter Buergisser, Felipe Cucker 625
   Some Properties of One-Pebble Turing Machines with Sublogarithmic Space Atsuyuki Inoue, Akira Ito, Katsushi Inoue, Tokio Okazaki 635
   Hypergraph Decomposition and Secret Sharing Giovanni Di Crescenzo, Clemente Galdi 645
   A Promising Key Agreement Protocol Eun-Kyung Ryu, Kee-Won Kim, Kee-Young Yoo 655
10A Game Theory and Randomized Algorithm
   Rapid Mixing of Several Markov Chains for a Hard-Core Model Ravi Kannan, Michael W. Mahoney, Ravi Montenegro 663
   Polynomial Time Approximate Sampler for Discretized Dirichlet Distribution Tomomi Matsui, Mitsuo Motoki, Naoyuki Kamatani 676
   Fair Cost Allocations under Conflicts - A Game-Theoretic Point of View - Yoshio Okamoto 686
   Equilibria for Networks with Malicious Users George Karakostas, Anastasios Viglas 696
10B Algebraic and Arithmetic Computation
   Quasi-optimal Arithmetic for Quaternion Polynomials Martin Ziegler 705
   Upper Bounds on the Complexity of Some Galois Theory Problems V. Arvind, Piyush P Kurur 716
   Unfolded Modular Multiplication Wieland Fischer, Jean-Pierre Seifert 726
   Gauss Period, Sparse Polynomial, Redundant Basis, and Efficient Exponentiation for a Class of Finite Fields with Small Characteristic Soonhak Kwon, Chang Hoon Kim, Chun Pyo Hong 736
Author Index 747
Invited Talk
   Interactive Proofs for Quantum Computation Andrew Chi-Chih Yao 1
   Drawing Plane Graphs Takao Nishizeki 2
7.

図書

東工大
目次DB

図書
東工大
目次DB
加藤直樹 [ほか] 著
出版情報: 東京 : 朝倉書店, 2007.10  vi, 166p ; 21cm
シリーズ名: 科学のことばとしての数学
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目次情報: 続きを見る
1. 常微分方程式 1
   1.1 応用例 1
   1.2 線形1階常微分方程式 7
   1.3 定係数線形2階常微分方程式 9
   1.3.1 斉次方程式の一般解法 11
   1.3.2 非斉次方程式の一般解法 12
   1.4 変係数2階常微分方程式 18
   1.4.1 斉次方程式 19
   1.4.2 コーシー・オイラーの方程式 20
   1.4.3 べき級数解 20
   1.5 定係数線形高階常微分方程式 22
   1.5.1 斉次方程式 23
   1.5.2 非斉次方程式 25
   1.6 連立1階微分方程式 26
   1.6.1 行列指数関数 28
   1.6.2 解(1.94)の具体的表現 29
2. フーリエ変換 37
   2.1 フーリエ解析って何? 37
   2.2 フーリエ級数 39
   2.3 複素フーリエ級数 42
   2.4 フーリエ変換 43
   2.5 時間関数のフーリエ変換 44
   2.6 インパルス応答とたたみ込み 45
   2.6.1 デルタ関数 46
   2.6.2 たたみ込み 47
   2.7 相関関数とスペクトル 49
   2.7.1 自己相関関数 49
   2.8 フーリエ変換と相関関数の応用例 52
3. ラプラス変換 62
   3.1 ラプラス変換の応用例 62
   3.1.l 解くべき方程式の例 62
   3.1.2 方程式の解 63
   3.1.3 ラプラス変換による解法 63
   3.2 ラプラス変換の定義 64
   3.2.1 歴史 64
   3.2.2 ラプラス変換の定義 65
   3.2.3 ラプラス変換の例 65
   3.2.4 導関数のラプラス変換 66
   3.2.5 線形性 67
   3.3 ラプラス変換による解法 : 加重項が時間的に一定の場合 67
   3.4 ラプラス変換による解法 : 加重項が時間的に変化する場合 68
   3.4.1 解くべき方程式とそのラプラス変換と代数方程式の解 68
   3.4.2 合成積とそのラプラス変換 69
   3.4.3 重畳の原理 70
   3.4.4 デルタ関数δ(t)とインパルス応答 71
   3.5 線形定係数n階常微分方程式 : より現実に近い物理系への拡張 73
   3.5.1 壁と室の2室点の場合 : 線形定係数2階常微分方程式,加重項は時間不変 73
   3.5.2 ラプラス変換と代数方程式および解の導出 74
   3.5.3 部分分数展開とラプラス逆変換 75
   3.6 偏微分方程式への適用と境界値問題 77
   3.6.1 壁体の非定常熱伝導を表す方程式 77
   3.6.2 偏微分方程式の解 77
   3.6.3 初期値問題と境界値問題 78
4. 変分法 80
   4.1 変分法とは 80
   4.2 関数の極大と極小 83
   4.3 オイラーの方程式 85
   4.4 第2変分 94
   4.5 境界条件 96
   4.6 付帯条件 98
   4.7 直接法 101
5. 確率と統計 113
   5.1 はじめに 113
   5.2 確率空間 113
   5.3 確率変数と分布 115
   5.4.2 次元の確率変数と分布 117
   5.5 種々の確率分布 118
   5.6 期待値,分散 123
   5.7 積率母関数 125
   5.8 分布の諸計算 126
   5.9 和の分布 127
   5.10 推定 129
   5.10.1 推定の考え方 129
   5.10.2 最尤原理 134
   5.11 検定 135
   5.11.1 正規分布の平均の検定 135
   5.11.2 正規分布の分散の検定 138
   5.12 マルコフ連鎖 140
   5.12.1 マルコフ連鎖のいろいろな型 141
   5.12.2 吸収的マルコフ連鎖 142
   5.12.3 エルゴード的マルコフ連鎖 143
   5.13 時系列デ一夕 144
文献 148
演習問題解答 150
索引 163
1. 常微分方程式 1
   1.1 応用例 1
   1.2 線形1階常微分方程式 7
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