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        <title>AGGI DokuWiki teaching:2023winter:alggr:spoilers</title>
        <description></description>
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       <dc:date>2026-04-23T13:14:13+0200</dc:date>
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        <link>https://gi.cebitec.uni-bielefeld.de/</link>
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        <dc:date>2024-01-25T17:14:39+0200</dc:date>
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        <title>teaching:2023winter:alggr:spoilers:s11e3h1</title>
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        <description>Sheet 11 Exercise 3 Spoiler 1

The statement is true, that is, if d is a metric, there is always at least one case in which the computed Feather Median is no general median for all 3+2k genomes/elements.</description>
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        <dc:date>2024-01-25T17:36:48+0200</dc:date>
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        <title>teaching:2023winter:alggr:spoilers:s11e3h2</title>
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        <description>Sheet 11 Exercise 3 Spoiler 2

It's enough to consider Feather Medians of 5 genomes/elements.</description>
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        <dc:date>2024-01-25T17:24:42+0200</dc:date>
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        <title>teaching:2023winter:alggr:spoilers:s11e3h3</title>
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        <description>Sheet 11 Exercise 3 Spoiler 3

Try this one:</description>
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        <description>Sheet 11 Exercise 3 Spoiler 4

m(M') &lt; = m(M_f)</description>
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        <dc:date>2024-01-25T17:32:51+0200</dc:date>
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        <title>teaching:2023winter:alggr:spoilers:s11e3h5</title>
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        <description>Sheet 11 Exercise 3 Spoiler 5

Remember your metric properties:

d(x,y) = 0 &lt;=&gt; x=y

d(x,y) = d(y,x)

d(x,z) &lt; = d(x,y) + d(y,z)</description>
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        <dc:date>2024-01-25T17:31:14+0200</dc:date>
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        <title>teaching:2023winter:alggr:spoilers:s11e3h6</title>
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        <description>Sheet 11 Exercise 3 Spoiler 6

(In hint 3)

M' = B

whereas if A != B

M_f !=B

(Why though? :)</description>
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