Edits

README.md

@@ -1,6 +1,6 @@
 # 02_roots_and_optimization
 #Problem 2
-``matlab
+```matlab
 function [root,fx,ea,iter]=bisect(func,xl,xu,es,maxit,varargin)
 % bisect: root location zeroes
 % [root,fx,ea,iter]=bisect(func,xl,xu,es,maxit,p1,p2,...):
@@ -38,8 +38,8 @@ while (1)
   if ea <= es || iter >= maxit,break,end
 end
 root = xr; fx = func(xr, varargin{:});
-``
-`matlab
+```
+```matlab
 function [root,fx,ea,iter]=falsepos(func,xl,xu,es,maxit,varargin)
 % bisect: root location zeroes
 % [root,fx,ea,iter]=bisect(func,xl,xu,es,maxit,p1,p2,...):
@@ -79,8 +79,8 @@ while (1)
   if ea <= es || iter >= maxit,break,end
 end
 root = xr; fx = func(xr, varargin{:});
-``
-``matlab
+```
+```matlab
 function [root,ea,iter]=mod_secant(func,dx,xr,es,maxit,varargin)
 % newtraph: Modified secant root location zeroes
 % [root,ea,iter]=mod_secant(func,dfunc,xr,es,maxit,p1,p2,...):
@@ -111,8 +111,8 @@ while (1)
   if ea <= es || iter >= maxit, break, end
 end
 root = xr;
-``
-``matlab
+```
+```matlab
 cat_cable= @(T) T/10.*cosh(10./T*30)+30-T/10-35;
 [root,fx,ea,iter]=falsepos(cat_cable,100,1000,.00001,10000);
 [root1,fx1,ea1,iter1]=bisect(cat_cable,100,1000,.00001,10000);
@@ -126,7 +126,7 @@ title('Final Shape of Powerline')
 xlabel('Distance in meters')
 ylabel('Height in meters')
 print('figure01','-dpng')
-``
+```
 ###Method Analysis Table
 
 | solver | initial guess(es) | ea | number of iterations|
@@ -172,7 +172,7 @@ table = [iter' root' ea'];
 | 5 | 1.0000  |   0.0000  |
 
 #Problem 4
-``matlab
+```matlab
 epsilon = 0.039; % kcal/mol
 epsilon = epsilon*6.9477e-21; % J/atom
 epsilon = epsilon*1e18; % aJ/J
@@ -228,7 +228,7 @@ fprintf('\nThe nonlinear spring constants are K1=%1.2f nN/nm and K2=%1.2f nN/nm^
 fprintf('The mininum sum of squares error = %1.2e \n',SSE_min)
 
 plot(dx,F_applied,'o',dx,K(1)*dx+1/2*K(2)*dx.^2)
-``
+```
 ![Parabolic Method](./figures/figure02.png)
 ![SUm Squares Error](./figures/figure03.png)