Articles written in English Practice Questions: Sequence Special Type: Log
\(Q1\)$$a_1=2, a_{n+1}=a_n^2$$ You will see a similar problem in EJU Math advanced course 2 2011 1st Section 2If you wou...
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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...
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...
日本語の記事 量子力学ことはじめ
量子力学の始まり量子力学と言えば、原子の内部など小さなものを扱う時に使われる物理学である。光の速さ\(3×10^8\)に近いものや、そのスピードに伴って大きくなる距離などを扱う時は相対性理論という物理学があるのだけど、この量子力学と相対性理...
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 ...