Index of Examples
Sequence of Successive Preimages
Map
Latex
The Successive Preimages
The Map
Latex code for the map
$ A = \begin{pmatrix} 2 & 1 \\ 0 & 1 \end{pmatrix}, u(x,y) = \Bigl(0.15111605242170867 + 0.005509493902044167 \sin(y) + 0.0030893051420472716 \cos(y) + 8.902479329195693E-4 \sin(2y) + 0.003109148452782013 \cos(2y) + 0.016904509892154054 \sin(x) + 0.0070841368403799865 \sin(x)\sin(y) + 0.01010092091586856 \sin(x)\cos(y) + 0.002722538345240724 \sin(x)\sin(2y) + 0.013112775729253665 \sin(x)\cos(2y) + 0.01982858522228774 \cos(x) + 0.0036567238617272245 \cos(x)\sin(y) + 0.01292067539539379 \cos(x)\cos(y) + 0.0121548279394906 \cos(x)\sin(2y) + 0.0015297749359945115 \cos(x)\cos(2y) + 0.002314660245058399 \sin(2x) + 0.009613647344139034 \sin(2x)\sin(y) + 0.007338524512312996 \sin(2x)\cos(y) + 0.003262761413525583 \sin(2x)\sin(2y) + 0.007713475994262704 \sin(2x)\cos(2y) + 0.009208106449950041 \cos(2x) + 0.010861757103597349 \cos(2x)\sin(y) + 0.0021135696696827407 \cos(2x)\cos(y) + 0.006148579203195916 \cos(2x)\sin(2y) + 0.004245628060004908 \cos(2x)\cos(2y) , 0.5323282121190863 + 0.0033023409094587695 \sin(y) + 0.001090879746007367 \cos(y) + 0.011815847082219348 \sin(2y) + 0.011676674736045736 \cos(2y) + 0.0012961319529314497 \sin(x) + 0.00496658313920872 \sin(x)\sin(y) + 0.006188533782161037 \sin(x)\cos(y) + 0.012193286590810886 \sin(x)\sin(2y) + 0.001817439048644105 \sin(x)\cos(2y) + 0.006863322679390271 \cos(x) + 0.01209204932290947 \cos(x)\sin(y) + 0.008379481451758214 \cos(x)\cos(y) + 4.337422812209191E-4 \cos(x)\sin(2y) + 0.0036686654318731833 \cos(x)\cos(2y) + 0.0031054095493327056 \sin(2x) + 0.0036718810587266226 \sin(2x)\sin(y) + 0.010471620392492663 \sin(2x)\cos(y) + 0.002174437985497136 \sin(2x)\sin(2y) + 0.0019828494248452376 \sin(2x)\cos(2y) + 0.012326858557528922 \cos(2x) + 0.008707449791347667 \cos(2x)\sin(y) + 0.003824109791801676 \cos(2x)\cos(y) + 0.002245661921231942 \cos(2x)\sin(2y) + 0.006898461803091354 \cos(2x)\cos(2y)\Bigr)$
