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  1. 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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  2. Prove normal matrix is unitary diagonalizable

    Prove normal matrix is unitary diagonalizable

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  3. sin(x+y)sin(x-y)=(sinx+siny)(sinx-siny)

    sin(x+y)sin(x-y)=(sinx+siny)(sinx-siny)

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  4. Integral of e^ax cos(bx) and Integral of e^ax sin(bx) no integration by part

    Integral of e^ax cos(bx) and Integral of e^ax sin(bx) no integration by part

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  5. Volume of sphere, Cone, Pyramid

    Volume of sphere, Cone, Pyramid

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  6. How to put 20 equilateral triangles on sphere

    How to put 20 equilateral triangles on sphere

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  7. sum of the reciprocals of the primes is divergent

    sum of the reciprocals of the primes is divergent

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  8. Cardano’s formula: Cubic equation

    Cardano’s formula: Cubic equation

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  9. Field theory (Abstract Algebra)

    Field theory (Abstract Algebra)

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  10. Show e really exists in one page

    Show e really exists in one page

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  11. Mathematical induction middle level exercise

    Mathematical induction middle level exercise

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  12. Permutation group (Symmetric group)

    Permutation group (Symmetric group)

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  13. Can you prove this: square root of 2 of 2= square root of 2 to the power square root of 2

    Can you prove this: square root of 2 of 2= square root of 2 to the power square root of 2

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  14. Construction in categories: product/coproduct, equalizer/coequalizer, Pushout/pullbacks

    Construction in categories: product/coproduct, equalizer/coequalizer, Pushout/pullbacks

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  15. More easy mathematical induction exercise

    More easy mathematical induction exercise

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  16. Find eigenvalues of matrix with all same element

    Find eigenvalues of matrix with all same element

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  17. Hermitian matrix is diagonalizable and orthonormal basis

    Hermitian matrix is diagonalizable and orthonormal basis

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  18. 黎曼猜想 What is Riemann hypothesis (14): Higher L function

    黎曼猜想 What is Riemann hypothesis (14): Higher L function

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  19. Correspondence theorem in Group theory and third isomorphism theorem

    Correspondence theorem in Group theory and third isomorphism theorem

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  20. the field of quotients of an integral domain

    the field of quotients of an integral domain

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