From 9694cc81d803692f51940714f97805d0509d6c63 Mon Sep 17 00:00:00 2001 From: Andrew Date: Sat, 8 Jun 2024 22:44:20 +0100 Subject: [PATCH] Recompilations etc. --- .../assets/MA284-Week11_1668603812290_0.edn | 2 +- .../semester1/logseq-stuff/pages/Matrices.md | 18 ++++++++++++++++++ .../semester1/logseq-stuff/pages/contents.md | 1 + .../hls__MA284-Week11_1668603812290_0.md | 2 ++ .../latex/CT2109-Assignment-03.pdf | Bin 205123 -> 205205 bytes 5 files changed, 22 insertions(+), 1 deletion(-) create mode 100644 year2/semester1/logseq-stuff/pages/contents.md create mode 100644 year2/semester1/logseq-stuff/pages/hls__MA284-Week11_1668603812290_0.md diff --git a/year2/semester1/logseq-stuff/assets/MA284-Week11_1668603812290_0.edn b/year2/semester1/logseq-stuff/assets/MA284-Week11_1668603812290_0.edn index 11baae5d..ab9a38bd 100644 --- a/year2/semester1/logseq-stuff/assets/MA284-Week11_1668603812290_0.edn +++ b/year2/semester1/logseq-stuff/assets/MA284-Week11_1668603812290_0.edn @@ -1 +1 @@ -{:highlights []} \ No newline at end of file +{:highlights [], :extra {:page 1}} diff --git a/year2/semester1/logseq-stuff/pages/Matrices.md b/year2/semester1/logseq-stuff/pages/Matrices.md index 6bc0bf73..888c03c3 100644 --- a/year2/semester1/logseq-stuff/pages/Matrices.md +++ b/year2/semester1/logseq-stuff/pages/Matrices.md @@ -8,6 +8,12 @@ - - # Adjacency Matrices - What is an **adjacency matrix**? #card + card-last-interval:: -1 + card-repeats:: 1 + card-ease-factor:: 2.5 + card-next-schedule:: 2024-05-30T23:00:00.000Z + card-last-reviewed:: 2024-05-30T00:17:42.413Z + card-last-score:: 1 - If the graph has $n$ vertices, labelled $\{1,2,\cdots, n\}$, then the **adjacency matrix** is an $m \times n$ **binary** matrix, $A$, with entries - $$a_{i,j} = \begin{cases} @@ -16,6 +22,12 @@ \end{cases}$$ - ![image.png](../assets/image_1669209153547_0.png) - ## Properties of the Adjacency Matrix #card + card-last-interval:: -1 + card-repeats:: 1 + card-ease-factor:: 2.5 + card-next-schedule:: 2024-05-30T23:00:00.000Z + card-last-reviewed:: 2024-05-30T00:17:59.125Z + card-last-score:: 1 - The adjacency matrix of a graph is **symmetric**. - If $B = A^k$, then $b_{i,j}$ is the number of paths of length $k$ from vertex $i$ to vertex $j$. - We can work out if a graph is connected by looking at the eigenvalues of $A$. @@ -34,6 +46,12 @@ - What is the **eccentricity of a vertex**? - The **eccentricity of a vertex** is the greatest distance between that vertex & any other vertex in the graph. - What is the **radius of a graph**? #card + card-last-interval:: -1 + card-repeats:: 1 + card-ease-factor:: 2.5 + card-next-schedule:: 2024-05-30T23:00:00.000Z + card-last-reviewed:: 2024-05-30T00:18:05.726Z + card-last-score:: 1 - The **radius of a graph** is the minimum eccentricity of any vertex. - What is the **diameter of a graph**? - The **diameter of a graph** is the maximum eccentricity of any vertex. diff --git a/year2/semester1/logseq-stuff/pages/contents.md b/year2/semester1/logseq-stuff/pages/contents.md new file mode 100644 index 00000000..3cf20d57 --- /dev/null +++ b/year2/semester1/logseq-stuff/pages/contents.md @@ -0,0 +1 @@ +- \ No newline at end of file diff --git a/year2/semester1/logseq-stuff/pages/hls__MA284-Week11_1668603812290_0.md b/year2/semester1/logseq-stuff/pages/hls__MA284-Week11_1668603812290_0.md new file mode 100644 index 00000000..e51b250d --- /dev/null +++ b/year2/semester1/logseq-stuff/pages/hls__MA284-Week11_1668603812290_0.md @@ -0,0 +1,2 @@ +file:: [MA284-Week11_1668603812290_0.pdf](../assets/MA284-Week11_1668603812290_0.pdf) +file-path:: ../assets/MA284-Week11_1668603812290_0.pdf diff --git a/year2/semester2/CT2109/Assignments/Assignment-03/latex/CT2109-Assignment-03.pdf b/year2/semester2/CT2109/Assignments/Assignment-03/latex/CT2109-Assignment-03.pdf index 4df8159817a9636f73deef688f2e87613298b86c..1ac20ca8b164c87acf0472ea42374a526867370d 100644 GIT binary patch delta 37965 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