Index of Examples
Sequence of Successive Preimages
Map
Latex
The Successive Preimages
The Map
Latex code for the map
$ A = \begin{pmatrix} -2 & 0 \\ -2 & 2 \end{pmatrix}, u(x,y) = \Bigl(0.8403222280801542 + 0.009257343666778299 \sin(y) + 0.010913870163135548 \cos(y) + 0.009425122656247347 \sin(2y) + 0.0022768918625307956 \cos(2y) + 0.009675244512482663 \sin(x) + 0.01586878518711438 \sin(x)\sin(y) + 0.005966457536915393 \sin(x)\cos(y) + 0.0017594991563550369 \sin(x)\sin(2y) + 0.0018419872220970137 \sin(x)\cos(2y) + 0.0049093949726520415 \cos(x) + 0.0011448592106934564 \cos(x)\sin(y) + 0.015280968086059775 \cos(x)\cos(y) + 8.72393233323067E-4 \cos(x)\sin(2y) + 0.010505528868599331 \cos(x)\cos(2y) + 0.009592120311826418 \sin(2x) + 0.007793416241199843 \sin(2x)\sin(y) + 0.005049965985283128 \sin(2x)\cos(y) + 0.005402795861130381 \sin(2x)\sin(2y) + 0.005010873524671482 \sin(2x)\cos(2y) + 0.002213830863842037 \cos(2x) + 0.0030911314046301185 \cos(2x)\sin(y) + 0.0036218594528735775 \cos(2x)\cos(y) + 6.746996028526594E-4 \cos(2x)\sin(2y) + 0.007308161025403114 \cos(2x)\cos(2y) , 0.354430174457942 + 0.019664718336761058 \sin(y) + 0.018207319894274526 \cos(y) + 0.012586499902406593 \sin(2y) + 0.0033724657463792135 \cos(2y) + 0.012637790726967146 \sin(x) + 0.01363850384464502 \sin(x)\sin(y) + 0.010284243265460553 \sin(x)\cos(y) + 0.00971276234042541 \sin(x)\sin(2y) + 0.010282981096445449 \sin(x)\cos(2y) + 0.009918778357184117 \cos(x) + 0.003652073380707095 \cos(x)\sin(y) + 0.0048107160287491225 \cos(x)\cos(y) + 0.01099487231419679 \cos(x)\sin(2y) + 0.0014700348872865169 \cos(x)\cos(2y) + 0.008848476901943882 \sin(2x) + 0.004450613092850427 \sin(2x)\sin(y) + 0.0027579048845685515 \sin(2x)\cos(y) + 0.001588496680342924 \sin(2x)\sin(2y) + 0.005353800075436793 \sin(2x)\cos(2y) + 0.009104197907029451 \cos(2x) + 0.012911883426744377 \cos(2x)\sin(y) + 0.006718857516519536 \cos(2x)\cos(y) + 0.002457237821288658 \cos(2x)\sin(2y) + 0.002040687386628243 \cos(2x)\cos(2y)\Bigr)$
