I wanted to start my web page with a picture taken at the "Görauer Anger", this is a place near the village I grew up . It is in Franconia, the northern part of Bavaria which is one of the 16 federal states of Germany.
I like to hike and near my hometown and especially around Nuremberg there are a lots of nice hiking trails. In the video you can see and example. It is a trail which guides you from brewery to brewery and you can tast lots of good franconian beer.
Maxwell's Equations
In my field of studies I had to study the Maxwell's Equations which describe the connection between electrical and magnetic fields and
the electrical charge and the electric current under special constraints
∇×→B−1c∂→E∂t=4πc→j∇⋅→E=4πρ∇×→E+1c∂→B∂t=→0∇⋅→B=0
This is an extract from a Matlab script for the symbolic calculation for a kinematic problem like this:
symboliccalculation
clear
close all
clc
% Declare symbolic variables
syms xayathitaaxbybthitabxcycthitacxdydreal
syms xapyapthitaapxbpybpthitabpxcpycpthitacpxdpydpreal
syms L1L2L3L4L5wtthitaA0betareal% phi-Matrix with the former declared parameters
phi = [ -thitaA0+thitaa-w*t;
xa-L2/2*cos(thitaa);
ya-L2/2*sin(thitaa);
xb-xa-L2/2*cos(thitaa)-L3/2*cos(thitab);
yb-ya-
L2/2*sin(thitaa)-L3/2*sin(thitab);
xc-xb-L3/2*cos(thitab)-L4/2*cos(thitac);
yc-yb-L3/2*sin(thitab)-L4/2*sin(thitac);
L1-xc-
L4/2*cos(thitac);
0-yc-L4/2*sin(thitac);
xd-xa-L2/2*cos(thitaa)-L5*cos((thitab+beta));
yd-ya-L2/2*sin(thitaa)-L5*sin((thitab
+beta))];
q = [xa ya thitaa xb yb thitab xc yc thitac xd yd]';
phiq = jacobian(phi,q); % Calculates phit by deriviting
phi with q
phit = diff(phi,t); % Calculates phit by deriviting phi with t
qp = [xap yap thitaap xbp ybp
thitabp xcp ycp thitacp xdp ydp]';
phitt = diff(phit,t);
phiqt = diff(phiq,t);
gammma = [jacobian(phiq*qp,q)*qp+2*phiqt*qp+phitt];