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Use any summation method which is linear and stable, find the sum of all the positive Fibonacci numbers,

\[1+1+2+3+5+8+\cdots.\]

Give your answer to 1 ...

Assume that the strings accept by the automata below are interpreted as binary numbers.

What is the largest integer \(n\) such that the set of integers accepted by the automata ...

Let \(\mathbb R[X]\) be the polynomial ring of real coefficients. Then there exists some ideal \(J\) such that the quotient ring \(\mathbb R[X]/J\cong\):

Let \(\alpha = i-\sqrt{2}\), where \(i = \sqrt{-1}\), and \( f(x) \) be the minimal polynomial of \( \alpha \). That is, \( f(x) \) is a monic polynomial with rational coefficients of ...

A regular polygon has all its vertices on a parabola. What is the maximum number of vertices of the polygon?

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