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The fundamental period of \(f(x),g(x)\) are \(A,B\) respectively. \(A,B\) are distinct natural numbers. And graph of \(f(x),g(x)\) are not symmetry to ...

There are three constants: \(L=1955\), \(C=2018\), \(N = 2016^{2016}\) and the following recursive sequence which uses the floor function: ...

There are infinitely many circles that could be inscribed in a semicircle. If you trace all of the center points of the inscribed circles, it becomes a section of another ...

The equation

\[\large a^3x^4 + 2a^2bx^3 + (2ca + b^2 + b)ax^2 + (2ca + b)bx + (ca + b + 1)c = x\]

has four distinct real roots of ...

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