channelflow.org

====== Differences ====== This shows you the differences between two versions of the page.

--- gibson:teaching:fall-2012:math445:pf1 [2012/12/05 12:35]
gibson
+++ gibson:teaching:fall-2012:math445:pf1 [2012/12/05 13:23] (current)
gibson
@@ Line 40: / Line 40: @@
 network of websites.
-  <network-of-links figure here>
+{{:gibson:teaching:fall-2012:math445:network2.png?direct&300}}
 . Write Matlab code that converts the connectivity matrix //C// to a
@@ Line 53: / Line 52: @@
-. Write an equation for //y// as a function of //x//  for
+. Write an equation for //y// as a function of //x// for
-the following data plot
+the following data plot. Bonus: express exponential functions
+as powers of //e// rather than powers of 10. Use $e^{2.3}\approx 10$
+to convert between the two.
+ {{:gibson:teaching:fall-2012:math445:fig1.png?direct&300}}
-  <data plot goes here>
@@ Line 115: / Line 117: @@
 <latex>
-y_i = \sum_{j=1} A_{ij} x_j
+y_i = \sum_{j=1}^N A_{ij} x_j
 </latex>
-for each component $y_i$ of the //M// dimensional vector $y$. But don't that
+for each component $y_i$ of the //M// dimensional vector $y$. But don't code that
-formula directly! Instead start your code with
+formula directly! Instead start your function with
 <code>
@@ Line 126: / Line 128: @@
 </code>
-and write the matrix-vector multiplication as a loop over the $K$ nonzero elements
+and write the matrix-vector multiplication as a loop over the K nonzero elements
-of $A$.
+of A.