Merge branch 'main' into kesten_jax

Author: HumphreyYang

lectures/finite_markov.md

@@ -1278,9 +1278,8 @@ n = 14 # Total number of web pages (nodes)
 #  * Q[i, j] = 1 if there is a link from i to j
 #  * Q[i, j] = 0 otherwise
 Q = np.zeros((n, n), dtype=int)
-f = open(infile, 'r')
-edges = f.readlines()
-f.close()
+with open(infile) as f: 
+    edges = f.readlines()
 for edge in edges:
     from_node, to_node = re.findall('\w', edge)
     i, j = alphabet.index(from_node), alphabet.index(to_node)

lectures/prob_matrix.md

@@ -45,7 +45,7 @@ import numpy as np
 import matplotlib.pyplot as plt
 import prettytable as pt
 from mpl_toolkits.mplot3d import Axes3D
-from IPython.display import set_matplotlib_formats
+from matplotlib_inline.backend_inline import set_matplotlib_formats
 set_matplotlib_formats('retina')
 %matplotlib inline
 ```

lectures/qr_decomp.md

@@ -440,7 +440,7 @@ XX = X.T @ X
 Λ_hat = np.diag(𝜆_hat)
 ```
 
-Compare the eigenvalues which are on the diagnoals of $\Lambda$ and $\hat{\Lambda}$.
+Compare the eigenvalues that are on the diagonals of $\Lambda$ and $\hat{\Lambda}$.
 
 ```{code-cell} ipython3
 𝜆, 𝜆_hat

lectures/short_path.md

@@ -399,19 +399,17 @@ def map_graph_to_distance_matrix(in_file):
     Q = np.full((num_nodes, num_nodes), np.inf)
 
     # Now we read in the data and modify Q
-    infile = open(in_file)
-    for line in infile:
-        elements = line.split(',')
-        node = elements.pop(0)
-        node = int(node[4:])    # convert node description to integer
-        if node != destination_node:
-            for element in elements:
-                destination, cost = element.split()
-                destination = int(destination[4:])
-                Q[node, destination] = float(cost)
-        Q[destination_node, destination_node] = 0
-
-    infile.close()
+    with open(in_file) as infile:
+        for line in infile:
+            elements = line.split(',')
+            node = elements.pop(0)
+            node = int(node[4:])    # convert node description to integer
+            if node != destination_node:
+                for element in elements:
+                    destination, cost = element.split()
+                    destination = int(destination[4:])
+                    Q[node, destination] = float(cost)
+            Q[destination_node, destination_node] = 0
     return Q
 ```
 

lectures/status.md

@@ -18,6 +18,6 @@ This table contains the latest execution statistics.
 
 (status:machine-details)=
 
-These lectures are built on `linux` instances through `github actions`  and `amazon web services (aws)` to 
+These lectures are built on `linux` instances through `github actions`  and `amazon web services (aws)` to
 enable access to a `gpu`. These lectures are built on a [p3.2xlarge](https://aws.amazon.com/ec2/instance-types/p3/)
-that has access to `8 vcpu's`, a `V100 NVIDIA Tesla GPU`, and `61 Gb` of memory. 
+that has access to `8 vcpu's`, a `V100 NVIDIA Tesla GPU`, and `61 Gb` of memory.