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## Recent posts

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### Why does a negative times a negative equal a positive?

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Why minus multiply minus equal to positive number ? This simple mathematical question has indeed a profound thinking, since it is hardly related to real life calculations. For instan…

Complex Analysis

### How Did Euler Derive His Complex Formula ?

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Euler's formula: It is one of the most prominent formula which illustrates the relationship between the complex exponential function and the trigonometric functions. It also…

Relations

### Repeated Roots & Derivatives

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we know, real roots are governed by the intersection of any real function with the $$x$$-axis. But, how do we know weather this intersected function with the x-axis at point $$x_{0}$$ has more than one root at that point. f(x)= (x…

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Relations

### Limit Point and Closure

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Definition of Limit Point In Real analysis: Let $$S$$ $$\in$$ $$\mathbb{R}$$ be any set, and let $$x$$ $$\in$$ $$\mathbb{R}$$ then:  the point $$x$$ is said to be limit point or a cluster point or an accumulation point or …