| 11. | Algebraic chess notation is the accepted standard for recording games today.
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| 12. | They are defined as algebraic varieties of cusps or double points.
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| 13. | The properties of specific algebraic structures are studied in abstract algebra.
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| 14. | Ranks and files of a level are denoted using algebraic notation.
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| 15. | This construction plays a role in algebraic geometry and conformal geometry.
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| 16. | This algebraic approach to topology was also developed independently in Austria.
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| 17. | Abelian varieties appear naturally as Albanese varieties of other algebraic varieties.
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| 18. | Finally a general version was found in algebraic topology, too.
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| 19. | Moreover, Clifford's algebraic schema extends to higher dimensions.
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| 20. | This leads to the most general definition of an algebraic curve:
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