Periodische Wiederholung eines Funktionsausschnittes

Anleitung
Mit diesem Werkzeug kann man den Ausschnitt einer beliebigen Funktion beliebig wiederholen. Die Funktion ist nicht mithilfe von Wenn Funktionen aufgebaut.[br]Der Befehl ist folgendermaßen aufgebaut:[br]PeriodischeWiederholung(,,)[br][br]Versuchen Sie das folgende Beispiel[br]Definieren Sie zunächst in der Eingabezeile die Funktion[br][size=200]f(x)=(x-1)*(x-2)*(x-4)[/size][br]Dann geben Sie in die Eingabezeile ein[br][size=200]PeriodischeWiederholung(f,1,4)[br][br][size=100][b]Geogebra ist in der Regel leider nicht in der Lage die resultierende Funktion korrekt zu defferenzierten oder zu integrieren.[/b][/size][br][/size]
So können Sie das Werkzeug für eigene Zwecke herunterladen:[br][list=1][*]Klicken Sie auf [img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADAAAAAqCAYAAAD1T9h6AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAClSURBVGhD7ZaxDQQhEAP3vhYohmKohmIoBgohu89Xei3Bcz5LntDZSNaur7XWbcR8fMCGBNBIAI0E0FzRH2it+QhCrdVHZrsCYwwfP0rO+acAfYXoBcIKzTl9BCGl5COzHYG3Q18hCaCRABp6gfCMagv9AW2hNxNWSFvoMPQVkgAaCaChFwjPaO/dRxBKKT4y2xHQFjoMvUBYIW2hw9BXSAJo6AW+uhJXA0wcMh0AAAAASUVORK5CYII=[/img][/*][*]Klicken Sie auf 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Sie auf 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Sie die Geogebra-Datei in der Sie das Werkzeug verwenden möchten.[list=1][*]Klicken Sie auf [img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADAAAAAtCAYAAADoSujCAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAACkSURBVGhD7ZaxDQQhEAPvrhYohmKohmIoBgoh+89XFzh43ljyhM5GsnZ9r7U+lzBPDNSwABsLsLEAGwuwuZFP3FqLEYVaa4xwgTFGjP9KzvlVQL5C8gJQheacMaKQUooRJnAy8hWyABsLsJEXgM6ot9AP8BY6FahC3kIbka+QBdhYgI28AHRGe+8xolBKiREm4C20EXkBqELeQhuRr5AF2FiAzRcxj1cJj/CKGQAAAABJRU5ErkJggg==[/img][/*][*]Klicken Sie auf 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Sie auf 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Sie [img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAPMAAABQCAYAAADMfkN/AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAA/GSURBVHhe7Z1vSBvZ+se/ajfZXX72jbeSNCVWaUO5LZessGS1BG+luIksS97JXiqlblHiG5eFKyzcGmJ/UHDhUt8oka6uuNyLLxaksEZE3CvS5srCNi/aZTcWW8OmBrt5s/5Yauqf34vMZM6czExmdKo2fT4wYM55Zs4zx/M9z3PO8U/ZBx98sAuCIF57yvkCgiBeT0jMBFEikJgJokQgMRNEiUBiJogSoYzdzf7000/ltQRBHEm++uorvqhQzD/88IPcgiCII8X777+vKGZKswmiRCAxE0SJQGImiBKBxEwQJQKJmSBKBBIzQZQIJGaCKBH0i9kTRCQSkV9BD29lDvtsyxOMIBxw8MWvBEcgLPgYhEdoW/waJvriCcr7wBEIm/LcYhTz3xEIG/reEK8OHWJ2IBCOINIBjHZ1oSt/jSJus0P927wXDrItE3AE0OkHov1d6OoaxhKApWHpa9PwBNGBUXQNS09NraWRXkvJzA6D1FQI/WutmoInDoaiYnYEOuFHFP0FA3QJw6EpmDmcDrIt80jj1WrKgUCrDdG7Qo94gkzk9yAYieCwA2Nqahpp/8f5bIQ4HIr8OKcHwVyYBBMUVHEEwujz24RPaUT7Q5hiBrq8HkCcjTbmteUJRtC61o8RdEo26Sj68xOCA4FwH+zTo0BHB9yIY7RrGEuOAMJ9fuQ9lN0jR+1dxLZDgjP858J7C/tJhieISP2Psqgs9lXeb6aGxROMoMMtfEhHMfrgPXTYp2XPKmZTvC9zOAJhdGJE9p6ENp988glmZ2eRyWT4KlitVnz00Uf49ttv+ao9/jinpx5uxPGj2mhhcATC6HvvAfrF1Hg0DX+ftHbMDeA0kz73I2rrkNZbJrYFADZ/HzoxIrUFP/q4EGZrrccakyI73rfjQT/jn8I9IqmpELr6o0gjnnsnPTOQTt9ZHHYb0mu/ygs99XDHRzEad6Ne5UZPMIIOW1RqZ9qODnby0WkDnX2ZWkvDZj8lKyO0mZ2dRUtLC6qqqmTlopAfPnwoKy+GtpgVkDZ82I0eDz72A9ERZrZeuotoWhxsQn0/G0VSmBqJIu2uVx/Ie2pLID7KRAmxrVbIlnYP7soiYmpqmPmcwtR0HDB1ra7Td4ZTdhu3NpbS7qW7UdhaAwr+eVDvTnPtDGM0btRGQE9f/rqGtKl9VfpkMpkCQbNC/uWXX/hbNDEs5tRUKDdD90eRFgs99XDDBn8fuwPdh/wk76mHW2ltmVpDGjbYVUbAntoSKIhmqTXpGQJKG0iyCSSff5qETt8lHLDb0pC/SgpTISEtT00hpLQMcNhhU+jvX9eYHtBjI6CnL5HKiZliszFYQdvt9j0LGUXF/Ku22OQI6SZ36cw+D7YtRXKbSfIUWClM7RcjvqewlrbBcPZ6yi6t+9XQY2MEhx229Bo42RMavPvuuwAj6A8//FAmZLFeL9piTk1hOm6D/2OVHFCkmBDV6tnoYFZbAgXrN7XsQMRhhw1xjDKRzmE3dbjr9p3HZvQGlXZOse+jx0ZAV1+eyolZrXuJQv7444/815lMBl9//bUsIrP1etAWM4Cl4VHE3R2IhJXWZgKiEGUbOQ4EgsI9avWdfiB6N7+ONqUtEXcHc2TjQbDDjTTTljLM4HYE0Kme/+4Nvb4zLP0YLxSTEo4AwpFwbh2b+gEP0jb4O5nneoLSrjV02ojo6EvFjTriQClyNCUhO8IQiHPHSLxNOqp1JFNYL8I/Bwbbyh2njOLBex3SelR2DCYeTcmfKfMvHUX/tB19rWsFxzB5HAGE++yYZo6H+KMo/rNYpuZ7IR4EI61Y0zq+gujLe3iQt8u9I/v+/Wut6JMdTRW3Kd6XEHysx48ax2SEeagdTekWM3GIKJ41G0dpYuHRY8NDZ8wHi5qYi6bZxBFgaRijYM7k94IniA53HNNagtNjw+EIhNFnnyYhHwEoMpcofCqf20WXp8F6bIijh1pkJjETxGuGmpgpzSaIEoHETBAlAomZIEqEgjUzQRBHH6U1s0zM//3rmLyWIIgjyQf/ucYXUZpNEKUCiZkgSgQSM0GUCCRmgigRSMwE8Rqyvb2NnZ0d7O7m9691itntwO6tc/LrynHeyhz22VbnlXNYbrHyxa+ExpZawUcHOoW2xa9hoi+dV+R90NhSa8pzi1HM/8aWWkPfG8I8Xr58ia2tLZmgi4jZitufn8NuG9D1xc8oy1/PEK22opE33xcH2ZYJ2E5g/BIwOPgzyr5IYQTAyDfS16bhdiCCZyj75vd80f31LJbXN2Vmh8H92Se4uF6lKXji1fDixQtks1lsb2/rE3Njy0n0IIOLBQP0d7T+8znuy8r2x0G2ZR5Z/FTwl+3MxIrbzRYMzglCdjuYyH8c07fOYVrpL4McIPdnM1i+9Kd8NkIcDNls1khkPo5/XLIiOq9PSFLKeQ67t2pxm/uLO/J6PnU2t60Cm89PMJE9lwFMu3NiyIvDdgLLrH+ye+Q0ttRit6cKZ1CJCPMuxdJS8H6p+J7H/Sf0rGfwmThhxFMo+2IDgbZK+NsqMfXFz2hV+ZuDuZRfepdOhZRYjw14nwv65Xf87/cW/L3IexPmsrOzIxPy7u6uhpjdlfBjA1Mqg4WlsaUW9y78Hy6KqfFkFj090tqxsaUW9y5lmfT5CQarT0oDx8S2AODMpVqM45nUFqpwjxukZ5srkWBS5Ma/WPDdIOOfwj0i92efoGwwg8fYyL0TkwJrocd3lsZqCx7z6bS7Ev5Hz9D1qBIBlajceeUcItUZqZ15CyKX5GLTYwOdfXl/PYsz1YX3Eq8OduNLRF3MCsijipTu/eMSMPgvJqrGf8Pgc3GwCfWDbPq8ic/+lcHj85XqA3lPbQk8eoazs6IIxLaq5FHw4W9SxANwfzbFfN7EZ/MbgKlrdZ2+M1yotnJrYyntHpnL4GwzHyUB4DgC5ze5dlLoemTURkBPX6azeGxqXxF7wZCY788+yc3Qgxk8FgvdlfDDip4eJmW7VYueE2y9wtoyvYllWPBnlTRzT20JFESz9CaW5SWKG0iyCaStkq/eHzp9l7Diz9WbSMj6bROf/fNJbtJJP8dZpb0EmxVnFfr7Ifu+emwE9PQl0ptYPmHBBb6cOFDUxZzO4rGG2OQI6SZ3qa3nCjjIthTJrZ/lKfAGb2QCRnzfxE/rVrh09QmDzYIzfBmPHhsj2Kw4+zwLY/8ZiTAbDTE/x5ePrOi5rLxuzFNMiGr1bHQwqy2BgvWbWnYgYrPiLDbQxUS6xmoLZ7RPdPrOc5Z/l2KotHOBfY4eGwFdfWmz4Mz6ZmGWQBwo6mIGMPLNM0TPn1TYwWQQhSjbyLHi9hXhHrX6v1UB3/+WX0eb0pbI+ZPMkc1xTLdV4jHTljLM4LadwLjCZtC+0Os7w8jDjUIxKWE7gWVxZzz9O757bkXP35jnuh2InGfs9diI6OhLxY064sDR9fvMnVfOFXyjo5Py9JC3efz9E2bjRNzRlgYmXy/CPwcG2+q8cg5/X3+G7y6clNajj9gfurDi9ue1cM3Lnynz73kGF+ctuNecxUWldSkEAfVY8CVzLp5rm/dF/p5avhdyHNO3qpAYFNbJathOYLnnf/Bd3i73juz7X1yvwr3qTEE/aNkU70sIPlZiquDnA4hXSc2/fbBarXjnnXdgsVhQXl6uT8zEIeJ2YPfChu7jLzWUJhYePTY8jS25oysj9xD7R0nMmmk2cQSIp9AF5kx+L7gdiJzfwJdagtNjw9HYUot71RkS8hGBInMJwqfyuV10eRqsx4Y4uihFZhIzQbyG6BKz0h8KIwji6PDfv44pipnWzARRIpCYCaJEIDETRIlAYiaIEkGnmF3onowhNtkNF18FwDcQw2S3VMN/NoqrexKxWKzg2s8zjeAbiCEWG4CPrzAZ30AMsQGpFVf3ZNF35G1c3ZOyZxBvLvrE7LqMJiSRdDbhsvZYM4/FMBoaGpgrjNX2ceMi8w2oTkJqzPQ2oKGhFzN8hZn4BhBCGA29UiuJlVWsriRkZjy8TWKoDVefXis6CRCljy4x+663Aws3MLboRPt1Q1IykRn0NlzFRNKL0GsfiVzovlaDiTuCkH0DzCTlw0AshoJX1LBJDI1htf26sUmOKDl0iNmHZm8SC3MJzNyZQNLbvKdBI0+dJ7G3QJLA0NgiwPrg6sYkm44zUdg3EEMs5AWc7RiPFaa0av4oLRPU7XNLkAGfsBQpqFfAdx3tq2MYEgPsTC8aGubRHPLCG2rGfEMDmICtw2YGdyZqcE2zUaLUKS5mXzO8yQXMJQAk5rCQ9KLZoJpd3ZMYb1rAVTFlDq+ifdxguiyy8hRJ1KBOGLeuy6excFVMxa9iAu0YF0Q709uAhvAikJzItS2MfqP+6LH3hm4CN3L14UUn2m+qp/auuhokn67IC33N8C6GEV7U6F8Nm8TKKpyn6+SFxBtFUTH7mr1ILswhF0QSmFtIwsuPJE18uN4OTNwYEp4BYOYOJvYwKQAAEitYZT8O9UoRTozcNXWqQjLujz775MSNvB8zdyaQdJ6GmrTqTju5tbGUds/cmUDNNaWJoIjNylMkNd+bKHW0xezqxjUhxRZJzC0g6b2mnUay+JrhhRPt4+zO9DjanbyhTlx1qOGL2BQ45OVqOYz6o9O+cONKyh7kuFBXk4Q8MCcw1NaWmwwSQ2hrYyYOvTaJFaxqTCBE6aMpZtflJjj5gTzeDiecaDK0rb2IsGxnOncVrAv1UHcaTjHtFzaC5CnwIn+HAkb9MWqvRQIrq06YnhG76lCTfAoueSfeIDTE7MLlJieSE1cLBvHViSScTZf1pXTcGnd/+DAQ8mJxTIhKrjrUYBFhJkq56vi4zWHUH6P2Oqkx+4F1p+FcXVGI6MSbgrqYXZfR5JSn2CKJuQUkne3QdUqVGModack2jFzoHlBaF2rg6sZkLATvYpiLiIzQXN24yee/AMCmn0b9MWqvg5n5RX2bVa5uTBbbGRdQ3FQj3ihUxey73s6ksxyJOSwkoXsjbKa3AeFFL0LMmrPpqbippoI3xKxRY4iNn8ZYg7QjDeSEdmMC0jLgJnCDT7OFzapQTDqaMuqPUfuizMxj0ci+Q1F8uN6+ijFpJ5B4A6HfZz4sfAOINc/LJ6c94uqexE3cQBuJ+Y2Afp/5qDHTizBC+/65alf3JMZPj5GQCRLzYTLTyy0b9kBiqG3fzyBKAxIzQZQIBWtmgiCOPkprZpmYldje3sbLly/x4sULZLNZ2T94JgjicKioqIDFYsHbb7+Nt956CxUVFcXFvLOzg62tLWSzWWxtbWFnZ4c3IQjigCkvL8exY8dgsVhw7NgxfZF5d3cXOzs72N7epqhMEEeEsrIylJeXo6KiIifksrLiYoYgaPEiCOJoUFZWlr8A4P8BvFO54PWEaPMAAAAASUVORK5CYII=[/img] "Alle Dateien"[/*][*]Die Datei hat die Endung [img]data:image/png;base64,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[/img][/*][/list][br]Jetzt können Sie das Werkzeug in Ihrer Datei verwenden.

Information: Periodische Wiederholung eines Funktionsausschnittes