User Tools

Site Tools


gibson:teaching:spring-2018:math445:lecture:loglinear

Differences

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

Link to this comparison view

Last revision Both sides next revision
gibson:teaching:spring-2018:math445:lecture:loglinear [2018/02/05 17:42]
gibson created
gibson:teaching:spring-2018:math445:lecture:loglinear [2018/02/05 17:43]
gibson
Line 4: Line 4:
 ^ plot command ^ functional relationship ^ ^ plot command ^ functional relationship ^
 | ''​plot(x,​y)''​ ^ $y = mx + b$ ^ | ''​plot(x,​y)''​ ^ $y = mx + b$ ^
-| ''​semilogy(x,​y)''​ | $y = c \10^{mx}$ ^+| ''​semilogy(x,​y)''​ | $y = c \10^{mx}$ ^
 | ''​semilogx(x,​y)''​ | $y = m \log x + b$ ^ | ''​semilogx(x,​y)''​ | $y = m \log x + b$ ^
-| ''​loglog(x,​y)''​ | $y = c x^m$ ^+| ''​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, given a few data points. 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 $\log y = m x + b$.  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 $\log y = m x + b$. 
gibson/teaching/spring-2018/math445/lecture/loglinear.txt ยท Last modified: 2018/02/05 17:44 by gibson