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117 lines
2.5 KiB
SQL
117 lines
2.5 KiB
SQL
-- trivial
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SELECT
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categoricalInformationValue(x.1, x.2)
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FROM (
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SELECT
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arrayJoin(arrayPopBack([(1, 0)])) as x
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);
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SELECT
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categoricalInformationValue(x.1, x.2)
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FROM (
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SELECT
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arrayJoin([(0, 0)]) as x
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);
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SELECT
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categoricalInformationValue(x.1, x.2)
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FROM (
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SELECT
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arrayJoin([(1, 0)]) as x
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);
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-- single category
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SELECT
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categoricalInformationValue(x.1, x.2)
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FROM (
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SELECT
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arrayJoin([(1, 0), (1, 0), (1, 0), (1, 1), (1, 1)]) as x
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);
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SELECT
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categoricalInformationValue(x.1, x.2)
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FROM (
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SELECT
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arrayJoin([(0, 0), (0, 1), (1, 0), (1, 1)]) as x
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);
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SELECT
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categoricalInformationValue(x.1, x.2)
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FROM (
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SELECT
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arrayJoin([(0, 0), (0, 0), (1, 0), (1, 0)]) as x
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);
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SELECT
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categoricalInformationValue(x.1, x.2)
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FROM (
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SELECT
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arrayJoin([(0, 1), (0, 1), (1, 1), (1, 1)]) as x
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);
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SELECT
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categoricalInformationValue(x.1, x.2)
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FROM (
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SELECT
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arrayJoin([(0, 0), (0, 1), (1, 1), (1, 1)]) as x
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);
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SELECT
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categoricalInformationValue(x.1, x.2)
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FROM (
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SELECT
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arrayJoin([(0, 0), (0, 1), (1, 0), (1, 0)]) as x
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);
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SELECT
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round(categoricalInformationValue(x.1, x.2)[1], 6),
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round((2 / 2 - 2 / 3) * (log(2 / 2) - log(2 / 3)), 6)
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FROM (
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SELECT
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arrayJoin([(0, 0), (1, 0), (1, 0), (1, 1), (1, 1)]) as x
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);
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-- multiple category
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SELECT
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categoricalInformationValue(x.1, x.2, x.3)
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FROM (
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SELECT
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arrayJoin([(1, 0, 0), (1, 0, 0), (1, 0, 1), (0, 1, 0), (0, 1, 0), (0, 1, 1)]) as x
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);
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SELECT
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round(categoricalInformationValue(x.1, x.2, x.3)[1], 6),
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round(categoricalInformationValue(x.1, x.2, x.3)[2], 6),
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round((2 / 4 - 1 / 3) * (log(2 / 4) - log(1 / 3)), 6),
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round((2 / 4 - 2 / 3) * (log(2 / 4) - log(2 / 3)), 6)
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FROM (
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SELECT
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arrayJoin([(1, 0, 0), (1, 0, 0), (1, 0, 1), (0, 1, 0), (0, 1, 0), (0, 1, 1), (0, 1, 1)]) as x
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);
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-- multiple category, larger data size
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SELECT
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categoricalInformationValue(x.1, x.2, x.3)
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FROM (
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SELECT
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arrayJoin([(1, 0, 0), (1, 0, 0), (1, 0, 1), (0, 1, 0), (0, 1, 0), (0, 1, 1)]) as x
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FROM
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numbers(1000)
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);
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SELECT
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round(categoricalInformationValue(x.1, x.2, x.3)[1], 6),
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round(categoricalInformationValue(x.1, x.2, x.3)[2], 6),
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round((2 / 4 - 1 / 3) * (log(2 / 4) - log(1 / 3)), 6),
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round((2 / 4 - 2 / 3) * (log(2 / 4) - log(2 / 3)), 6)
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FROM (
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SELECT
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arrayJoin([(1, 0, 0), (1, 0, 0), (1, 0, 1), (0, 1, 0), (0, 1, 0), (0, 1, 1), (0, 1, 1)]) as x
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FROM
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numbers(1000)
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);
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