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

    Hilbert Basis theorem state and proof (algebraic geometry)

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  7. The existence proof of eigenvectors and eigenvalues

    The existence proof of eigenvectors and eigenvalues

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  10. Prove normal matrix is unitary diagonalizable

    Prove normal matrix is unitary diagonalizable

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  11. Hermitian matrix is diagonalizable and orthonormal basis

    Hermitian matrix is diagonalizable and orthonormal basis

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  12. Rulers & Protractors (Quadrance & Spread) in QTrig: Setup and Outline | Abstract Algebra 13

    Rulers & Protractors (Quadrance & Spread) in QTrig: Setup and Outline | Abstract Algebra 13

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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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  15. 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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  16. In triangle, tanA+tanB+tanC=tanA*tanB*tanC

    In triangle, tanA+tanB+tanC=tanA*tanB*tanC

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

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

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  18. sum of the reciprocals of the primes is divergent

    sum of the reciprocals of the primes is divergent

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  19. Gaussian integer and Fermat theorem

    Gaussian integer and Fermat theorem

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  20. 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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  21. Integral of 1/(e^x+1) and integral of 1/(e^x-1)

    Integral of 1/(e^x+1) and integral of 1/(e^x-1)

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

    integral of x^n lnx from 0 to 1

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

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

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  25. Complex contour: Integral of ln(x)/(x^2+1) and ln(x)^2/(x^2+1)

    Complex contour: Integral of ln(x)/(x^2+1) and ln(x)^2/(x^2+1)

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