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Combinatorics terms
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jzkyu committed Apr 8, 2024
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7 changes: 7 additions & 0 deletions docs/Public/Math/Sets/k-subset.md
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A *k-subset* of a [[set]] $S$ is a [[subset]] of $S$ with [[cardinality]] $k$.

Example: The $3$*-subset* of $S = \{1, 2, 3, 4\}$ are

$$
\{1, 2, 3\}, \{1, 2, 4\}, \{1, 3, 4\}, \{2, 3, 4\}
$$
2 changes: 1 addition & 1 deletion docs/Public/Math/Sets/set.md
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*See:* [[Set theory]]

A *set* is a collection of "things": elements, members, objects, etc. [^1]
A *set* is a (unordered) collection of "things": elements, members, objects, etc. [^1]

[^1]: https://matthbeck.github.io/papers/aop.noprint.pdf
3 changes: 2 additions & 1 deletion docs/Public/Math/Sets/subset.md
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A *subset* is a [[set]] which all the elements are contained in another set.
Another way, "Every element in $A$ is in $B$".

$A$ is a *subset* of $B$ means:
$$
\text{If }x\in A, \text{ then } x\in B
$$
We write:
$$
a\subseteq B
A\subseteq B
$$
3 changes: 3 additions & 0 deletions docs/Public/Software/AI/time series.md
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*Time series* is a [[machine learning]] technique that forecasts target values based solely on a known history of target values. [^1]

[^1]: https://docs.oracle.com/en/database/oracle/machine-learning/oml4sql/21/dmcon/time-series.html#GUID-0D6954B9-9D66-42E2-A62F-F3FFE84B827E
2 changes: 2 additions & 0 deletions docs/Public/Software/Tools/Appearance/colors.md
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Expand Up @@ -17,5 +17,7 @@ jzky colorway:
- Light Cyan: 35ceb3
- Accent: af9a91
- Light Accent: e1c6bb
- Black 0c0a0a
- Light Black: 241e1e


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