Index of Examples
Sequence of Successive Preimages
Map
Latex
The Successive Preimages
The Map
Latex code for the map
$ A = \begin{pmatrix} -1 & 0 \\ 2 & 2 \end{pmatrix}, u(x,y) = \Bigl(0.42523615101608925 + 0.0024738178324035 \sin(y) + 0.018983730323355062 \cos(y) + 0.003852088963244811 \sin(2y) + 0.00654653189750746 \cos(2y) + 0.018464450273664737 \sin(x) + 0.01663347981513862 \sin(x)\sin(y) + 0.017496475780777215 \sin(x)\cos(y) + 0.003602616247100848 \sin(x)\sin(2y) + 0.005251233758204695 \sin(x)\cos(2y) + 0.01744587901075776 \cos(x) + 0.003431583001413181 \cos(x)\sin(y) + 0.003078115895478588 \cos(x)\cos(y) + 0.0038750503012348397 \cos(x)\sin(2y) + 0.002756842378674582 \cos(x)\cos(2y) + 2.6374678726669506E-4 \sin(2x) + 0.010954700693265712 \sin(2x)\sin(y) + 0.006013839727011316 \sin(2x)\cos(y) + 0.008831555382965699 \sin(2x)\sin(2y) + 0.007296195804008785 \sin(2x)\cos(2y) + 0.004061094681922355 \cos(2x) + 0.013112285978695314 \cos(2x)\sin(y) + 9.275764207965394E-4 \cos(2x)\cos(y) + 0.00810621117491 \cos(2x)\sin(2y) + 0.007157781804256525 \cos(2x)\cos(2y) , 0.814060522874589 + 0.011504372953444813 \sin(y) + 0.005483299257719001 \cos(y) + 0.011722139120448902 \sin(2y) + 0.002042008301962679 \cos(2y) + 0.0015274246343094623 \sin(x) + 0.014177055688124844 \sin(x)\sin(y) + 0.006647768098423174 \sin(x)\cos(y) + 0.00691995114568375 \sin(x)\sin(2y) + 0.0017561158634478082 \sin(x)\cos(2y) + 0.0070862128707882156 \cos(x) + 0.009814642955715108 \cos(x)\sin(y) + 0.0036813822500015416 \cos(x)\cos(y) + 0.009762973352978942 \cos(x)\sin(2y) + 0.007534134763584621 \cos(x)\cos(2y) + 0.007741269070672609 \sin(2x) + 0.00919213669840013 \sin(2x)\sin(y) + 0.006698255904883741 \sin(2x)\cos(y) + 0.008198629943136878 \sin(2x)\sin(2y) + 0.003666103750223251 \sin(2x)\cos(2y) + 0.009971881658900143 \cos(2x) + 0.0012574343187886105 \cos(2x)\sin(y) + 0.00878222314170723 \cos(2x)\cos(y) + 0.00836714559682007 \cos(2x)\sin(2y) + 0.006003257329777577 \cos(2x)\cos(2y)\Bigr)$
