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  1. algebraic geometry: introduction to Varieties (affine varieties) and Zariski topology

    algebraic geometry: introduction to Varieties (affine varieties) and Zariski topology

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  2. The localization at a prime ideal is a local ring

    The localization at a prime ideal is a local ring

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  3. introduction to Projective Varieties (homogeneous ideal)

    introduction to Projective Varieties (homogeneous ideal)

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  4. two versions of Azuma's inequality state and its proof

    two versions of Azuma's inequality state and its proof

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  5. Simple identity involving q Pochhammer symbol

    Simple identity involving q Pochhammer symbol

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  6. Properties of nilradical of a ring and show its intersection of prime ideals

    Properties of nilradical of a ring and show its intersection of prime ideals

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  7. affine scheme properties: distinguished open set forms a basis and quasi compact

    affine scheme properties: distinguished open set forms a basis and quasi compact

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  8. state and prove Bennett's inequality

    state and prove Bennett's inequality

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  9. introduction to Varieties-prime ideal and irreducible set

    introduction to Varieties-prime ideal and irreducible set

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  10. Character table of S3, S4, D8, A4

    Character table of S3, S4, D8, A4

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  11. Relation between Riemann and Lebesgue integration, Riemann integrable iff discontinuity measure zero

    Relation between Riemann and Lebesgue integration, Riemann integrable iff discontinuity measure zero

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  12. countably additive on Lebesgue measure and absolute inequality

    countably additive on Lebesgue measure and absolute inequality

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  13. If there is one perfect square in an arithmetic progression, then there are infinitely many

    If there is one perfect square in an arithmetic progression, then there are infinitely many

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  14. Algebraic geometry: affine local (1) Reduced is an affine local property

    Algebraic geometry: affine local (1) Reduced is an affine local property

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  15. Prove Global section and pushforward are left exact functors

    Prove Global section and pushforward are left exact functors

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  16. Algebraic geometry equivalent condition for reduced schemes

    Algebraic geometry equivalent condition for reduced schemes

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  17. Intersection of open affines can be covered by open sets distinguished in both affines

    Intersection of open affines can be covered by open sets distinguished in both affines

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  18. Algebraic geometry: open immersion of scheme is a scheme

    Algebraic geometry: open immersion of scheme is a scheme

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  19. Algebraic geometry Non-affine scheme example2 projective line

    Algebraic geometry Non-affine scheme example2 projective line

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  20. Algebraic geometry: Non-affine scheme example3 affine plane minus the origin

    Algebraic geometry: Non-affine scheme example3 affine plane minus the origin

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  21. lower Bound of a+sqrt2b+sqrt3c

    lower Bound of a+sqrt2b+sqrt3c

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  22. 伽罗华群 簡介: 代數閉包 splitting field

    伽罗华群 簡介: 代數閉包 splitting field

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  23. Examples of solvable groups S3,S4,dihedral groups and Q8

    Examples of solvable groups S3,S4,dihedral groups and Q8

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  24. Convex function implies local minimum to be global minimum

    Convex function implies local minimum to be global minimum

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  25. 伽罗华群 解方程式與solvable groups 的關係

    伽罗华群 解方程式與solvable groups 的關係

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