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  1. Two ways: Integral of 1/(x^2+1)^2 from 0 to infinity

    Two ways: Integral of 1/(x^2+1)^2 from 0 to infinity

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  2. Mathematical induction divide exercise

    Mathematical induction divide exercise

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    4
  4. Nested radical 2: Nested radical of Ramanujan

    Nested radical 2: Nested radical of Ramanujan

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    1
  5. sum of the reciprocals of the primes is divergent

    sum of the reciprocals of the primes is divergent

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  6. Inner product space and p norm

    Inner product space and p norm

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    3
  7. Prove normal matrix is unitary diagonalizable

    Prove normal matrix is unitary diagonalizable

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  8. Complex contour: Integral of ln(x)/(x^2+1) and ln(x)^2/(x^2+1)

    Complex contour: Integral of ln(x)/(x^2+1) and ln(x)^2/(x^2+1)

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  9. Prove Method of infinite Descent (Vieta's jumping) : (x^2+y^2+1)/xy=3

    Prove Method of infinite Descent (Vieta's jumping) : (x^2+y^2+1)/xy=3

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  10. 黎曼猜想 What is Riemann hypothesis (15) Zeta function 在0點的微分，無限大階乘

    黎曼猜想 What is Riemann hypothesis (15) Zeta function 在0點的微分，無限大階乘

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  13. 7 is the only Prime followed by a Cube? What's more? how about quartic

    7 is the only Prime followed by a Cube? What's more? how about quartic

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  14. N people arrive separately to a dinner : Probability Exercise

    N people arrive separately to a dinner : Probability Exercise

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  16. Cantor's intersection theorem Prove

    Cantor's intersection theorem Prove

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    3
  17. Introduction to Pythagorean quadruple

    Introduction to Pythagorean quadruple

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  18. Linear algebra advanced basic: Zorn's lemma, exchange lemma, dimension

    Linear algebra advanced basic: Zorn's lemma, exchange lemma, dimension

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  19. Linear map fixed point theorem

    Linear map fixed point theorem

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  22. Volume of sphere, Cone, Pyramid

    Volume of sphere, Cone, Pyramid

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  24. integral of lnx ln(1-x) from 0 to 1

    integral of lnx ln(1-x) from 0 to 1

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