Showing posts with label Mathematics. Show all posts
Showing posts with label Mathematics. Show all posts
Wednesday, December 3, 2014
Saturday, May 3, 2014
古代エジプト掛け算法(2万年前)
Example 1 Q. 31 x 53 = 1 53 2 106 4 212 8 424 16 848 16 + 8 + 4 + 2 + 1 = 31 53 + 106 + 212 + 424 + 848 = 1643 A. 1,643 Example 2 Q. 32 x 41 = 1 41 2 82 4 164 8 328 16 656 32 1312 32 = 32 1312 = 1312 A. 1,312 Example 3 Q. 33 x 27 1 27 2 54 4 108 8 216 16 432 32 864 32 + 1 = 33 864 + 27 = 891 A. 891 Example 4 Q. 12301 x 15046 1 15046 2 30092 4 60184 8 120368 16 240736 32 481472 64 962944 128 1925888 256 3851776 512 7703552 1024 15407104 2048 30814208 4096 61628416 8192 123256832 8192 4096 8 4 1 ----- 12301 123256832 61628416 120368 60184 15046 ---------- 185080846 A. 185,080,846
ラベル:
Mathematics
Friday, August 16, 2013
HOW to BECOME a GOOD THEORETICAL PHYSICIST(良い理論物理学者になる方法): Advanced Mathematics
- Group theory(群論)
- Group representation(群の表現)
- Lie group(リー群)
- Vector(ベクトル)
- Tensor(テンソル)
- Partial differential equation(偏微分方程式)
- Integral equation(積分方程式)
- Maxima and minima(Extremum principle)(極値)
- Approximation(近似)
- Recurrence relation(Difference equation)(漸化式, 差分方程式)
- Generating function(母関数)
- Hilbert space(ヒルベルト空間)
- Functional integration(関数型積分)
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Sunday, August 11, 2013
Computational mathematics/science(計算数学)
- Computational science and engineering(計算科学技術)
- Computer simulation(計算機シミュレーション)
- Numerical linear algebra(数値線形代数)
- Numerical solution of partial differential equations(偏微分方程式の数値解法)
- Stochastic optimization(確率的最適化)
- Monte Carlo methods(モンテカルロ法)
- Numerical analysis(数値解析)
- Symbolic computation(記号演算)
- Computer algebra systems(数式処理システム)
- Computational algebraic topology(計算代数的位相幾何学)
- Computational linguistics(計算言語学)
- Computational algebraic geometry(計算代数幾何学)
- Computational group theory(計算群論)
- Computational geometry(計算幾何学)
- Computational number theory(計算数論)
- Computational topology(計算位相幾何学)
- Computational statistics(電算機統計学)
- Algorithmic information theory(アルゴリズム的情報理論)
- Algorithmic game theory(アルゴリズム的ゲーム理論)
Discrete mathematics(離散数学)
- Theoretical computer science(理論計算科学)
- Information theory(情報理論)
- Logic(数理論理学)
- Set theory(集合論)
- Combinatorics(組合せ数学)
- Graph theory(グラフ理論)
- Discrete probability distribution(離散確率分布)
- Number theory(数論)
- Algebra(代数学)
- Finite difference(差分)
- Geometry(幾何学)
- Topology(位相幾何学)
- Operations research(オペレーションズ・リサーチ)
- Game theory(ゲーム理論)
- Decision theory(決定理論)
- Utility theory(効用理論)
- Social choice theory(社会選択理論)
- Discretization(離散化)
- Discrete calculus(離散微積分)
- Discrete probability distribution(離散確率分布)
- Discrete Fourier transform(離散フーリエ変換)
- Discrete geometry(離散幾何学)
- Discrete logarithms(離散対数)
- Discrete differential geometry(離散微分幾何学)
- Discrete exterior calculus(離散外微分)
- Discrete Morse theory(モールス理論)
- Difference equations(漸化式)
- Discrete dynamical systems(離散力学系)
- Discrete vector measures(離散ベクトル測度)
- Optimization problem(最適化問題)
- Computational geometry(計算幾何学)
Saturday, August 10, 2013
Marcus du Sautoy: TED Talk: Symmetry, Reality's Riddle
Marcus du Sautoy |
- Évariste Galois (エヴァリスト・ガロア)
- Symmetry (対称性)
- Professor Kurokawa
- Essay in Idleness
- Tsurezuregusa (徒然草)
- Alhambra (アルハンブラ宮殿)
ラベル:
Alhambra,
Conference,
Mathematics,
People,
Tsurezuregusa,
アルハンブラ宮殿,
徒然草
Thursday, August 8, 2013
HOW to BECOME a GOOD THEORETICAL PHYSICIST(良い理論物理学者になる方法): Primary Mathematics
- Natural number(自然数)
- Integer(整数)
- Rational number(fraction)(有理数)
- Real number(実数)
- Complex number(複素数)
- Set theory(集合論)
- Open set(開集合)
- Compact space(コンパクト空間)
- Topology(位相幾何学)
- Algebraic equation(代数方程式)
- Approximation technique(近似法)
- Series expansion(級数展開)
- Taylor series(テイラー展開)
- Trigonometry(三角法)
- Infinitesimal(無限小)
- Differentiation(微分法)
- Integration(積分法)
- Differential equation(微分方程式)
- Linear equation(一次方程式)
- Fourier transform(フーリエ変換)
- Convergent series(収斂級数)
- Complex plane(複素平面)
- Cauchy theorem(コーシーの定理)
- Contour integration(閉曲線積分)
- Gamma function(ガンマ関数)
- Gaussian integral(ガウス積分)
- Probability theory(確率論)
- Partial differential equation(偏微分方程式)
- Dirichlet boundary condition(ディリクレ境界条件)
- Neumann boundary conditions(ノイマン境界条件)
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Wednesday, August 7, 2013
Tuesday, August 6, 2013
Monday, August 5, 2013
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