Articles written in English Special Types Recurrence Equations
Special types of Recurrence EquationsSeems this is one of the most difficult topics in EJU mathIf you want to know 3 bas...
世界数式探訪
Articles written in English 
Articles written in English Recurrence Equations for Arithmetic, Geometric and Differences Progressions
Basic 3 PatternsArithmetic Progression$$a_{n+1}-a_n=d$$This is the recurrence equation of Arithmetic ProgressionExample ...
Articles written in English Dot Product
Definition of dot product$$\vec{a}・\vec{b}=|\vec{a}||\vec{b}|\cos{\theta}$$We should not think dot product is nature thi...
Articles written in English Quadrature by Parts
Quadrature by Parts (区分求積法)This is very similar way to calculate the area by IntegrationLet's take a look the formula fi...
Articles written in English How to get asymptotes of Rational Function
AsymptotesThere are 2 kinds of asymptotes, vertical and horizontal ones.Vertical AsymptoteMathematically any denominator...
Articles written in English Integration by Parts
What is itWhen there are 2 functions(composite function) in an integration operator, we can use the method, Integration ...
Articles written in English Why Is Harmonic Series the Divergent Infinite Series
By the way what is Harmonic Series??$$\sum^{\infty}_{n=1}\frac{1}{n}=\frac{1}{1} +\frac{1}{2} +\frac{1}{3} +\frac{1}{4} ...
Articles written in English Euler’s Identity
One of the most beautiful things in MathIt might not be such special thing for you. But I would like to remember how to ...
世界数式探訪 バーゼル問題
数学の有名な式にリーマン・ゼータ関数というものがあって$$\zeta_{z}=\frac{1}{1^z}+\frac{1}{2^z}+\frac{1}{3^z}+\frac{1}{4^z}+・・・$$というものだ。これは素数に規則性があるか...
世界数式探訪 数式とチョコレート
少し前に美人すぎる女性物理学者という記事を書いた。その中に物理学者ではなく、ひとり数学者を紛れ込ませた。クリオ・クレスウェルというオーストラリアの数学者だ。彼女は「完璧なパートナーを見つけるためには12人と付き合った人から選びなさい」 とい...