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  1. Fractional colorings and the fractional chromatic number of graphs | graph theory | advanced level

    Fractional colorings and the fractional chromatic number of graphs | graph theory | advanced level

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

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

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  3. Linear map fixed point theorem

    Linear map fixed point theorem

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  4. sum of the reciprocals of the primes is divergent

    sum of the reciprocals of the primes is divergent

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  5. Prove Fermat last theorem n=4

    Prove Fermat last theorem n=4

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  6. Hermitian matrix is diagonalizable and orthonormal basis

    Hermitian matrix is diagonalizable and orthonormal basis

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  7. Find eigenvalues of matrix with all same element

    Find eigenvalues of matrix with all same element

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  8. 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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  9. Introduction to Pythagorean quadruple

    Introduction to Pythagorean quadruple

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  10. 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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  11. the field of quotients of an integral domain

    the field of quotients of an integral domain

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  12. Integral of 1/sqrt{x^2+1}, Integral of 1/sqrt{x^2-1}, Integral of 1/sqrt{1-x^2}

    Integral of 1/sqrt{x^2+1}, Integral of 1/sqrt{x^2-1}, Integral of 1/sqrt{1-x^2}

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  13. Integral of sec(x) and Integral of 1/sec(x)

    Integral of sec(x) and Integral of 1/sec(x)

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

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

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  15. Special quartic equation and cos72

    Special quartic equation and cos72

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  17. 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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  18. Mathematical induction middle level exercise

    Mathematical induction middle level exercise

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

    integral of x^n lnx from 0 to 1

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  23. Inner product space and p norm

    Inner product space and p norm

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

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

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  25. Prove interesting trigonometric identities

    Prove interesting trigonometric identities

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