| 11. | One of the key ideas in bioinformatics is the notion of homology.
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| 12. | One of the main ways that genomes are compared is by homology.
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| 13. | And the trivial part implies vanishing homology for dimensions greater than 2.
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| 14. | In particular ? is injective so homology of dimension 2 also vanishes.
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| 15. | Conserved motifs do, however, support an evolutionary homology among enzymes.
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| 16. | This spectrum corresponds to the standard homology and cohomology theory.
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| 17. | The Jones polynomial is described as the Euler characteristic for this homology.
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| 18. | The graded Euler characteristic of knot Floer homology is the Alexander polynomial.
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| 19. | A perfect group is one whose first integral homology vanishes.
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| 20. | A superperfect group is one whose first two integral homology groups vanish.
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