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  1. 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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  2. 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. How to put 20 equilateral triangles on sphere

    How to put 20 equilateral triangles on sphere

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  4. Ring theory lecture - definition

    Ring theory lecture - definition

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  5. Schrodinger equation and Klein Gordan equation continuity equation

    Schrodinger equation and Klein Gordan equation continuity equation

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  6. zero morphism and kernel and cokernel

    zero morphism and kernel and cokernel

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  8. Field theory (Abstract Algebra)

    Field theory (Abstract Algebra)

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  11. Mathematical induction middle level exercise

    Mathematical induction middle level exercise

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  12. Counting formula in Group theory

    Counting formula in Group theory

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  13. Correspondence theorem in Group theory and third isomorphism theorem

    Correspondence theorem in Group theory and third isomorphism theorem

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  18. Integral of 1/(x^2+1) by using complex number

    Integral of 1/(x^2+1) by using complex number

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  19. Construction in categories: product/coproduct, equalizer/coequalizer, Pushout/pullbacks

    Construction in categories: product/coproduct, equalizer/coequalizer, Pushout/pullbacks

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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. the field of quotients of an integral domain

    the field of quotients of an integral domain

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  23. Gaussian integer and Fermat theorem

    Gaussian integer and Fermat theorem

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  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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  25. Polynomial ring over rationals

    Polynomial ring over rationals

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