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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. The existence proof of eigenvectors and eigenvalues

    The existence proof of eigenvectors and eigenvalues

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  3. Prove Method of infinite Descent : square k is irrational if k is not square free

    Prove Method of infinite Descent : square k is irrational if k is not square free

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  4. More easy mathematical induction exercise

    More easy mathematical induction exercise

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  6. Prove Method of infinite Descent : no nontrivial solutions x^2+y^2=3z^2

    Prove Method of infinite Descent : no nontrivial solutions x^2+y^2=3z^2

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  7. Plot Mcdonald Shape by function

    Plot Mcdonald Shape by function

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  8. Prove Method of infinite Descent (Vieta's jumping) : (4a^2-1)^2/(4ab-1) is integer, then a=b

    Prove Method of infinite Descent (Vieta's jumping) : (4a^2-1)^2/(4ab-1) is integer, then a=b

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  9. Linear map fixed point theorem

    Linear map fixed point theorem

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  11. sinx+sin2x+sin3x+...+sin nx, cosx+cos2x+cos3x+cos 4 x+...+cos nx

    sinx+sin2x+sin3x+...+sin nx, cosx+cos2x+cos3x+cos 4 x+...+cos nx

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  13. Special quartic equation and cos72

    Special quartic equation and cos72

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  14. a_{n+2}=5a_{n+1}-6a_{n} Mathematical induction

    a_{n+2}=5a_{n+1}-6a_{n} Mathematical induction

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  15. Polynomial over a commutative ring

    Polynomial over a commutative ring

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  16. Field theory (Abstract Algebra)

    Field theory (Abstract Algebra)

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  21. Mathematical induction middle level exercise

    Mathematical induction middle level exercise

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  22. Homomorphism of ring and ideal, quotient ring

    Homomorphism of ring and ideal, quotient ring

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

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

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  24. Schrodinger equation and Klein Gordan equation continuity equation

    Schrodinger equation and Klein Gordan equation continuity equation

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  25. zero morphism and kernel and cokernel

    zero morphism and kernel and cokernel

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