Differences

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

--- gibson:teaching:spring-2016:math445:lecture:loglinear [2016/02/03 13:46]
gibson
+++ gibson:teaching:spring-2016:math445:lecture:loglinear [2016/02/04 08:47] (current)
gibson
@@ Line 1: / Line 1: @@
 ====== Math 445 lecture 4: log-linear relations ======
+===== Log-linear relations =====
 Logarithmic plots are useful when the data you're plotting varies over many orders of magnitude. Logarithmic plots can also highlight certain functional relationships
@@ Line 9: / Line 10: @@
 | ''loglog(x,y)'' | $y = c x^m$ ^
-In lecture I will show (1) why each of these functional relationships appears as a straight line in the corresponding plot command and (2) how to estimate the values of the constants from a graph, in order to estimate $y(x)$ as an explicit function.
+In lecture I will show (1) why each of these functional relationships appears as a straight line in the corresponding plot command and (2) how to estimate the values of the constants from a graph, in order to estimate $y(x)$ as an explicit function, given a few data points.
+You can derive these formulae from the log-linear relations instead of memorizing them. For example, you can derive $y = c \; 10^{mx}$ by exponentiating both sides of $\log y = m x + b$.

channelflow.org