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  3. Hilbert Basis theorem state and proof (algebraic geometry)

    Hilbert Basis theorem state and proof (algebraic geometry)

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  10. The existence proof of eigenvectors and eigenvalues

    The existence proof of eigenvectors and eigenvalues

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  11. Prove normal matrix is unitary diagonalizable

    Prove normal matrix is unitary diagonalizable

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  12. Hermitian matrix is diagonalizable and orthonormal basis

    Hermitian matrix is diagonalizable and orthonormal basis

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  13. 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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  14. sin(x+y)sin(x-y)=(sinx+siny)(sinx-siny)

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

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  15. the field of quotients of an integral domain

    the field of quotients of an integral domain

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  18. 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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  20. Show e really exists in one page

    Show e really exists in one page

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

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

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  22. Gaussian integer and Fermat theorem

    Gaussian integer and Fermat theorem

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  23. Mathematical induction middle level exercise

    Mathematical induction middle level exercise

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  24. Ring theory lecture - definition

    Ring theory lecture - definition

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  25. Counting formula in Group theory

    Counting formula in Group theory

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