From a08a0bbee902ae0ac652a4df9c230f57f115d243 Mon Sep 17 00:00:00 2001 From: Joshua Potter Date: Fri, 1 Mar 2024 08:16:51 -0700 Subject: [PATCH] Add combinatoric punnett squares. --- .../plugins/obsidian-to-anki-plugin/data.json | 9 +- .../images/ordering-n-repetition-n.jpg | Bin 0 -> 18925 bytes .../images/ordering-n-repetition-y.jpg | Bin 0 -> 18687 bytes .../images/ordering-repetition.jpg | Bin 0 -> 17889 bytes .../images/ordering-y-repetition-n.jpg | Bin 0 -> 18874 bytes .../images/ordering-y-repetition-y.jpg | Bin 0 -> 18661 bytes notes/combinatorics/index.md | 100 +++++++++++++++--- 7 files changed, 95 insertions(+), 14 deletions(-) create mode 100644 notes/combinatorics/images/ordering-n-repetition-n.jpg create mode 100644 notes/combinatorics/images/ordering-n-repetition-y.jpg create mode 100644 notes/combinatorics/images/ordering-repetition.jpg create mode 100644 notes/combinatorics/images/ordering-y-repetition-n.jpg create mode 100644 notes/combinatorics/images/ordering-y-repetition-y.jpg diff --git a/notes/.obsidian/plugins/obsidian-to-anki-plugin/data.json b/notes/.obsidian/plugins/obsidian-to-anki-plugin/data.json index b55222a..3d112cd 100644 --- a/notes/.obsidian/plugins/obsidian-to-anki-plugin/data.json +++ b/notes/.obsidian/plugins/obsidian-to-anki-plugin/data.json @@ -83,7 +83,12 @@ "merge-sort.gif", "theta-notation.png", "big-o-notation.png", - "big-omega-notation.png" + "big-omega-notation.png", + "ordering-y-repetition-y.jpg", + "ordering-repetition.jpg", + "ordering-y-repetition-n.jpg", + "ordering-n-repetition-y.jpg", + "ordering-n-repetition-n.jpg" ], "File Hashes": { "algorithms/index.md": "cd7c7ba91fb2f961c9f2437777e8e2ac", @@ -176,7 +181,7 @@ "_journal/2024-02-17.md": "7c37cb10515ed3d2f5388eaf02a67048", "_journal/2024-02/2024-02-16.md": "e701902e369ec53098fc2deed4ec14fd", "binary/integer-encoding.md": "7ace6ab6c5a4191ae0abdfe7e5abb6a2", - "combinatorics/index.md": "9a85e8858c50c9797243d6d01e1dcbe7", 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n.d., [https://discrete.openmathbooks.org/pdfs/dmoi3-tablet.pdf](https://discrete.openmathbooks.org/pdfs/dmoi3-tablet.pdf). - + END%% %%ANKI Basic -If order matters and repeats are disallowed, the number of selections is usually formatted in what way? -Back: $(n)_k$ (falling factorial) +What combinatorial *concept* corresponds to the highlighted square? +![[ordering-y-repetition-y.jpg]] +Back: The multiplicative principle. Reference: Oscar Levin, *Discrete Mathematics: An Open Introduction*, 3rd ed., n.d., [https://discrete.openmathbooks.org/pdfs/dmoi3-tablet.pdf](https://discrete.openmathbooks.org/pdfs/dmoi3-tablet.pdf). - + END%% %%ANKI Basic -If order does not matter and repeats are allowed, the number of selections is usually formatted in what way? -Back: $\binom{n + k}{k}$ (stars and bars) -Reference: Oscar Levin, *Discrete Mathematics: An Open Introduction*, 3rd ed., n.d., [https://discrete.openmathbooks.org/pdfs/dmoi3-tablet.pdf](https://discrete.openmathbooks.org/pdfs/dmoi3-tablet.pdf). - +Which square corresponds to notation $n^k$? +![[ordering-repetition.jpg]] +Back: +![[ordering-y-repetition-y.jpg]] + END%% %%ANKI Basic -If order does not matter and repeats are disallowed, the number of selections is usually formatted in what way? -Back: $\binom{n}{k}$ (combinations) +What combinatorial *notation* corresponds to the highlighted square? +![[ordering-y-repetition-n.jpg]] +Back: $(n)_k$ Reference: Oscar Levin, *Discrete Mathematics: An Open Introduction*, 3rd ed., n.d., [https://discrete.openmathbooks.org/pdfs/dmoi3-tablet.pdf](https://discrete.openmathbooks.org/pdfs/dmoi3-tablet.pdf). - + +END%% + +%%ANKI +Basic +What combinatorial *concept* corresponds to the highlighted square? +![[ordering-y-repetition-n.jpg]] +Back: $k$-permutations (falling factorials) +Reference: Oscar Levin, *Discrete Mathematics: An Open Introduction*, 3rd ed., n.d., [https://discrete.openmathbooks.org/pdfs/dmoi3-tablet.pdf](https://discrete.openmathbooks.org/pdfs/dmoi3-tablet.pdf). + +END%% + +%%ANKI +Basic +Which square corresponds to notation $(n)_k$? +![[ordering-repetition.jpg]] +Back: +![[ordering-y-repetition-n.jpg]] + +END%% + +%%ANKI +Basic +What combinatorial *notation* corresponds to the highlighted square? +![[ordering-n-repetition-y.jpg]] +Back: $\binom{n + k}{k}$ +Reference: Oscar Levin, *Discrete Mathematics: An Open Introduction*, 3rd ed., n.d., [https://discrete.openmathbooks.org/pdfs/dmoi3-tablet.pdf](https://discrete.openmathbooks.org/pdfs/dmoi3-tablet.pdf). + +END%% + +%%ANKI +Basic +What combinatorial *concept* corresponds to the highlighted square? +![[ordering-n-repetition-y.jpg]] +Back: Stars and bars +Reference: Oscar Levin, *Discrete Mathematics: An Open Introduction*, 3rd ed., n.d., [https://discrete.openmathbooks.org/pdfs/dmoi3-tablet.pdf](https://discrete.openmathbooks.org/pdfs/dmoi3-tablet.pdf). + +END%% + +%%ANKI +Basic +Which square corresponds to notation $\binom{n + k}{k}$? +![[ordering-repetition.jpg]] +Back: +![[ordering-n-repetition-y.jpg]] + +END%% + +%%ANKI +Basic +What combinatorial *notation* corresponds to the highlighted square? +![[ordering-n-repetition-n.jpg]] +Back: $\binom{n}{k}$ +Reference: Oscar Levin, *Discrete Mathematics: An Open Introduction*, 3rd ed., n.d., [https://discrete.openmathbooks.org/pdfs/dmoi3-tablet.pdf](https://discrete.openmathbooks.org/pdfs/dmoi3-tablet.pdf). + +END%% + +%%ANKI +Basic +What combinatorial *concept* corresponds to the highlighted square? +![[ordering-n-repetition-n.jpg]] +Back: Combinations +Reference: Oscar Levin, *Discrete Mathematics: An Open Introduction*, 3rd ed., n.d., [https://discrete.openmathbooks.org/pdfs/dmoi3-tablet.pdf](https://discrete.openmathbooks.org/pdfs/dmoi3-tablet.pdf). + +END%% + +%%ANKI +Basic +Which square corresponds to notation $\binom{n}{k}$? +![[ordering-repetition.jpg]] +Back: +![[ordering-n-repetition-n.jpg]] + END%% ## References