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

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

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

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

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  3. 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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  4. Goldbach's theorem: Fermat numbers are coprime

    Goldbach's theorem: Fermat numbers are coprime

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  5. integral of x^n lnx from 0 to 1

    integral of x^n lnx from 0 to 1

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  7. Field theory (Abstract Algebra)

    Field theory (Abstract Algebra)

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  8. 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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  11. How to Use the Zero Product Property | Solve (5n-2)(6n-1)=0 | Minute Math

    How to Use the Zero Product Property | Solve (5n-2)(6n-1)=0 | Minute Math

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  12. Mathematical induction exercise: 6^n-1 is divisible by 5

    Mathematical induction exercise: 6^n-1 is divisible by 5

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  16. Prove Method of infinite Descent : square 2 is irrational

    Prove Method of infinite Descent : square 2 is irrational

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  17. 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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  18. 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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  19. Normal subgroup and quotient subgroup

    Normal subgroup and quotient subgroup

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  20. There exist distinct integers x,y,z for which, x^2+y^2+z^2=14^n

    There exist distinct integers x,y,z for which, x^2+y^2+z^2=14^n

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  21. Plot Mcdonald Shape by function

    Plot Mcdonald Shape by function

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  23. Polynomial Equation Solving With Derivatives

    Polynomial Equation Solving With Derivatives

  24. Cauchy's theorem for the abelian group, Sylow theorem for abelian group

    Cauchy's theorem for the abelian group, Sylow theorem for abelian group

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