1. With school back in full swing, students are now

    With school back in full swing, students are now

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  2. Trigonometric Proofs and Identities (Jae Academy)

    Trigonometric Proofs and Identities (Jae Academy)

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    2
  3. The existence proof of eigenvectors and eigenvalues

    The existence proof of eigenvectors and eigenvalues

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    2
    2
  4. Integral of 1/(x^3-1) from integral of 1/(x^3+1)

    Integral of 1/(x^3-1) from integral of 1/(x^3+1)

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    3
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  5. 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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    3
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  7. Integral of 1/(1+x^2)^2 (substitution)

    Integral of 1/(1+x^2)^2 (substitution)

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    3
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  10. Show e really exists in one page

    Show e really exists in one page

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

    Prove Method of infinite Descent : square 2 is irrational

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  12. Cantor's intersection theorem Prove

    Cantor's intersection theorem Prove

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  13. 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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  14. 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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  15. 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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  16. 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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    1
  17. Prove Method of infinite Descent (Vieta's jumping) : (a^2+b^2)/(ab+1) is square, imo1988

    Prove Method of infinite Descent (Vieta's jumping) : (a^2+b^2)/(ab+1) is square, imo1988

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  18. Normal subgroup and quotient subgroup

    Normal subgroup and quotient subgroup

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  19. 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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  20. Plot Mcdonald Shape by function

    Plot Mcdonald Shape by function

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

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

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  22. zero morphism and kernel and cokernel

    zero morphism and kernel and cokernel

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

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

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