{"id":6,"date":"2023-04-26T10:41:36","date_gmt":"2023-04-26T08:41:36","guid":{"rendered":"https:\/\/www.jankafialka.sk\/?page_id=6"},"modified":"2024-05-24T07:21:11","modified_gmt":"2024-05-24T05:21:11","slug":"jankafialka","status":"publish","type":"page","link":"https:\/\/www.jankafialka.sk\/","title":{"rendered":"jankafialka &#8211; \u00favodn\u00e1 str\u00e1nka"},"content":{"rendered":"\n<p>Vitajte na mojej str\u00e1nke! \ud83e\udd70 Moje meno je Jana Fialov\u00e1 (preto jankafialka). Toto je priestor, kam uklad\u00e1m svoje diela z oblasti matematiky a vytv\u00e1ram nov\u00e9 interakt\u00edvne webov\u00e9 aplik\u00e1cie.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u010co tu n\u00e1jdete<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/www.jankafialka.sk\/?page_id=8\">Blog<\/a> &#8211; krat\u0161ie pr\u00edspevky na r\u00f4zne zv\u00e4\u010d\u0161a matematick\u00e9 t\u00e9my,<\/li>\n\n\n\n<li><a href=\"https:\/\/www.jankafialka.sk\/?page_id=38\">Losovanie<\/a> &#8211; interakt\u00edvna aplik\u00e1cia, v ktorej si m\u00f4\u017eete overi\u0165, ako ste na tom so \u0161\u0165ast\u00edm,<\/li>\n\n\n\n<li><a href=\"https:\/\/www.jankafialka.sk\/?page_id=777\">\u0160ifry<\/a> &#8211; na tejto str\u00e1nke n\u00e1jdete vysvetlenie, ako funguj\u00fa najjednoduch\u0161ie \u0161ifry a m\u00f4\u017eete si za\u0161ifrova\u0165 aj od\u0161ifrova\u0165 svoje spr\u00e1vy pomocou C\u00e9zarovej a Vigen\u00e8rovej \u0161ifry, na podstr\u00e1nke <a href=\"https:\/\/www.jankafialka.sk\/?page_id=937\">Frekven\u010dn\u00e1 anal\u00fdza a substitu\u010dn\u00e9 \u0161ifry<\/a> aj pomocou \u013eubovo\u013enej substitu\u010dnej \u0161ifry. Pre n\u00e1ro\u010dnej\u0161\u00edch predstavujem aj <a href=\"https:\/\/www.jankafialka.sk\/?page_id=1285\">RSA<\/a> \u0161ifru.<\/li>\n\n\n\n<li><a href=\"https:\/\/www.jankafialka.sk\/?page_id=303\">Strom n\u00e1hody<\/a> &#8211; super aplik\u00e1cia, v ktorej vytv\u00e1rate frakt\u00e1lny strom pod\u013ea vlastn\u00fdch krit\u00e9ri\u00ed,<\/li>\n\n\n\n<li><a href=\"https:\/\/www.jankafialka.sk\/?page_id=34\">V\u0161eli\u010do z geometrie<\/a> &#8211; zatia\u013e nie \u00faplne dotiahnut\u00e9 n\u00e1pady, u\u017e teraz ale stoja za pozretie,<\/li>\n\n\n\n<li><a href=\"https:\/\/www.jankafialka.sk\/?page_id=32\">Z\u00e1porn\u00e9 \u010d\u00edsla inak<\/a> &#8211; vymakan\u00e1 str\u00e1nka, na ktorej sa aj prvostupniar nau\u010d\u00ed pracova\u0165 so z\u00e1porn\u00fdmi \u010d\u00edslami. Na podstr\u00e1nke <a href=\"https:\/\/www.jankafialka.sk\/?page_id=36\">Hra &#8211; zachr\u00e1\u0148 gu\u013e\u00f4\u010dky<\/a> sa zabav\u00ed ka\u017ed\u00fd.<\/li>\n\n\n\n<li>Na str\u00e1nke <a href=\"https:\/\/www.jankafialka.sk\/?page_id=733\">Publik\u00e1cie<\/a> sa nach\u00e1dza v\u00fdber z mojich matematick\u00fdch \u010dl\u00e1nkov a u\u010debnica geometrie.<\/li>\n<\/ul>\n\n\n\n<p>Na v\u00e4\u010d\u0161ine z t\u00fdchto str\u00e1nok je mo\u017en\u00e9 zanecha\u0165 verejn\u00fd koment\u00e1r. Ak chcete posla\u0165 koment\u00e1r, pripomienku, \u010di ot\u00e1zku priamo mne, p\u00ed\u0161te mail na dole uveden\u00fa adresu.<\/p>\n\n\n\n<p>Ako ochutn\u00e1vku prid\u00e1vam moju prv\u00fa interakt\u00edvnu anim\u00e1ciu:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Anim\u00e1cia pohybu dvoch plan\u00e9t<\/h3>\n\n\n\n<p>Anim\u00e1cia zobrazuje dve plan\u00e9ty a stopu, ktor\u00fa zanech\u00e1va bod v strede medzi t\u00fdmito plan\u00e9tami. Tvar stopy je z\u00e1visl\u00fd na r\u00fdchlosti (a polomere obe\u017enej dr\u00e1hy) vn\u00fatornej plan\u00e9ty.<\/p>\n\n\n\n<p>Sem vlo\u017ete \u010das, za ktor\u00fd vn\u00fatorn\u00e1 plan\u00e9ta obehne centr\u00e1lnu hviezdu. Mus\u00ed to by\u0165 kladn\u00e9 \u010d\u00edslo men\u0161ie ako jeden. Zadajte ho v tvare desatinn\u00e9ho \u010d\u00edsla.<\/p>\n\n\n\n<input type=\"number\" id=\"rychlost\" value=\"0.2\">\n\n\n\n<p>Vysk\u00fa\u0161ajte aj in\u00e9 zadania. Odpor\u00fa\u010dam 0.1, 0.3, 0.7 alebo 0.4. V\u017edy pred spusten\u00edm nov\u00e9ho zadania stla\u010dte tla\u010didlo Zastav to!<\/p>\n\n\n\n<div align=\"center\">\n<button onclick=\"spusti();\"><b><i>Spusti to !<\/i><\/b>\n<\/button>\n<br>&nbsp;<br>\n<button onclick=\"zastav();\">\n<b><i>\nZastav to !<\/i><\/b>\n<\/button>\n<br>&nbsp;<br>\n<canvas id=\"platno\">\n<\/canvas>\n<\/div>\n\n\n\n<script>\nvar reqId;\nfunction spusti(){\n\nconst rychlost = document.getElementById(\"rychlost\");\nlet r=Number(rychlost.value);\n\nif(isNaN(r) || r<0 || r>1){\nalert(\"Pros\u00edm, zadajte \u010d\u00edslo medzi nulou a jednotkou v tvare s desatinnou bodkou!\");}\nelse {\nconst start1 = new Date();\nconst start = start1.getTime();\n\nconst canvas = document.getElementById(\"platno\");\nconst sirka= Math.min(0.875*document.documentElement.clientWidth, document.documentElement.clientHeight);\ncanvas.width= sirka;\ncanvas.height= sirka;\nconst ctx = canvas.getContext(\"2d\");\nconst w = canvas.width;\nconst h = canvas.height;\n\nconst rDuhy=0.1;\nlet red, green, blue, farba;\n\n\/\/nehybne objekty\nctx.fillStyle=\"black\";\nctx.fillRect(0,0,w,h);\n\nvar R = Math.pow(r,2\/3);\n\nctx.fillStyle=\"yellow\";\nctx.beginPath();\nctx.arc(w\/2,h\/2,5,0,2*Math.PI, true);\nctx.fill();\n\nlet xZem=0;\nlet yZem=0;\nlet xVenus=0;\nlet yVenus=0;\n\/\/pohyblive objekty\nfunction kresli(){\nlet cas1 = new Date();\nlet cas = cas1.getTime();\nlet t = cas-start;\n\n\/\/maze predchadzajucu Zem\nctx.fillStyle=\"black\";\nctx.beginPath();\nctx.arc(xZem,yZem, 5, 0, Math.PI*2);\nctx.fill();\n\nxZem = w\/2+0.48*w*Math.cos(t*Math.PI\/10000);\nyZem = h\/2+0.48*w*Math.sin(t*Math.PI\/10000);\n\nctx.fillStyle=\"#3CC8FF\";\nctx.beginPath();\nctx.arc(xZem, yZem, 4, 0, Math.PI*2);\nctx.fill();\n\/\/maze predchadzajucu venusu\nctx.fillStyle=\"black\";\nctx.beginPath();\nctx.arc(xVenus,yVenus, 3, 0,Math.PI*2);\nctx.fill();\n\nxVenus=w\/2+0.48*w*R*Math.cos(t*Math.PI\/(10000*r));\nyVenus=h\/2+0.48*w*R*Math.sin(t*Math.PI\/(10000*r));\n\nctx.fillStyle=\"#ffafaf\";\nctx.beginPath();\nctx.arc(xVenus, yVenus, 2, 0, Math.PI*2);\nctx.fill();\n\n\/\/duhove sfarbenie\nlet pom=(rDuhy*t)%1536;\nif(pom<256){red=255;green=pom;blue=0;}\nelse{if (pom>=256 && pom<512){red=512-pom;green=255;blue=0;}\nelse{if(pom>=512 && pom<768){red=0;green=255;blue=pom-512}\nelse{if(pom>=768 && pom<1024){red=0;green=1024-pom;blue=255;}\nelse{if(pom>=1024 && pom<1280){red=pom-1024;green=0;blue=255;}\nelse{if(pom>1280){red=255;green=0;blue=1536-pom;}}}}}}\n\nfarba=\"rgb(\"+red+\", \"+green+\", \"+blue+\")\";\n\nlet x= (xZem+xVenus)\/2;\nlet y = (yZem+yVenus)\/2;\nctx.fillStyle=farba;\nctx.beginPath();\nctx.arc(x,y,2,0,2*Math.PI);\nctx.fill();\n\nreqId=requestAnimationFrame(kresli);\n}\nreqId=requestAnimationFrame(kresli);\n}}\nfunction zastav(){\ncancelAnimationFrame(reqId);\n}\nspusti();\n<\/script>\n\n\n\n<button id=\"saveButton\">Ulo\u017e ako obr\u00e1zok<\/button>\n<script>\nconst canvas = document.getElementById(\"platno\");\nconst saveButton = document.getElementById('saveButton');\n\n\/\/ Zaregistruj udalos\u0165 kliknutia na tla\u010didlo\nsaveButton.addEventListener('click', () => {\n  \/\/ Z\u00edskaj URL reprezent\u00e1ciu aktu\u00e1lneho obr\u00e1zka z canvas\n  const dataURL = canvas.toDataURL();\n\n  \/\/ Vytvor odkaz na s\u0165ahovanie s n\u00e1zvom \"canvas-obrazok.png\"\n  const link = document.createElement('a');\n  link.href = dataURL;\n  link.download = 'canvas-obrazok.png';\n\n  \/\/ Kliknut\u00edm na odkaz automaticky stiahne\u0161 obr\u00e1zok\n  link.click();\n});\n<\/script>\n\n\n\n<p>Prezrad\u00edm v\u00e1m tajomstvo: po\u010det l\u00edstkov na v\u00fdslednom obr\u00e1zku sa d\u00e1 vypo\u010d\u00edta\u0165 takto: prevedieme desatinn\u00e9 \u010d\u00edslo na tvar zlomku v z\u00e1kladnom tvare. Po\u010det l\u00edstkov je potom rozdiel medzi \u010ditate\u013eom a menovate\u013eom.<\/p>\n\n\n\n<p>Jednu vec e\u0161te m\u00f4\u017eete odpozorova\u0165 aj sami. Vysk\u00fa\u0161ajte viac zlomkov, ktor\u00e9 maj\u00fa rovnak\u00fd rozdiel medzi \u010ditate\u013eom a menovate\u013eom. Ide\u00e1lne 1\/6, 2\/7, 3\/8, 4\/9 &#8211; tieto s\u00fa n\u00e1hodou v\u0161etky v z\u00e1kladnom tvare. (Samozrejme, zad\u00e1vajte v tvare desatinn\u00e9ho \u010d\u00edsla.) Ako \u010ditate\u013e ovplyv\u0148uje v\u00fdsledn\u00fd obr\u00e1zok?<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Vitajte na mojej str\u00e1nke! \ud83e\udd70 Moje meno je Jana Fialov\u00e1 (preto jankafialka). Toto je priestor, kam uklad\u00e1m svoje diela z oblasti matematiky a vytv\u00e1ram nov\u00e9 interakt\u00edvne webov\u00e9 aplik\u00e1cie. \u010co tu n\u00e1jdete Na v\u00e4\u010d\u0161ine z t\u00fdchto str\u00e1nok je mo\u017en\u00e9 zanecha\u0165 verejn\u00fd koment\u00e1r. Ak chcete posla\u0165 koment\u00e1r, pripomienku, \u010di ot\u00e1zku priamo mne, p\u00ed\u0161te mail na dole uveden\u00fa [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":272,"parent":0,"menu_order":0,"comment_status":"open","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-6","page","type-page","status-publish","has-post-thumbnail","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>jankafialka<\/title>\n<meta name=\"description\" content=\"Str\u00e1nka jankafialka obsahuje slovensk\u00e9 a anglick\u00e9 publik\u00e1cie autorky. 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