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[]DarrylHuff,HowToLiewithStatistics
[]JohnAllenPaulos,Innumeracy:MathematicalIlliteracyandItsConsequences
[]JohnAllenPaulos,AMathematicianReadstheNewspaper
[]A.K.Dewdney, 200PercentofNothing:AnEyeOpeningTourthroughtheTwists&TurnsofMathAbuse&Innumeracy.
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[] Murray S. Daw: Introduction to Dimensional Analysis [] Harald Hanche-Olsen: Buckinghams pi-theorem [] Ain A. Sonin: The Physical Basis of Dimensional Analysis
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[] https://en.wikipedia.org/wiki/Hyperoperation[] https://en.wikipedia.org/wiki/Tetration[] Galidakis,IoannisandWeisstein,EricW."PowerTower."FromMathWorldAWolframWeb Resource.http://mathworld.wolfram.com/PowerTower.html
[] Weisstein,EricW."ArrowNotation."FromMathWorldAWolframWebResource. http://mathworld.wolfram.com/ArrowNotation.html
[] Knuth,DonaldE.(1976)."MathematicsandComputerScience:CopingwithFiniteness".Science194 (4271):12351242.doi:10.1126/science.194.4271.1235.PMID17797067
[] R.L.Goodstein(Dec.1947)."TransfiniteOrdinalsinRecursiveNumberTheory".JournalofSymbolic Logic12(4):123129.doi:10.2307/2266486.JSTOR2266486
[] AlbertA.Bennett(Dec.1915)."NoteonanOperationoftheThirdGrade".AnnalsofMathematics, SecondSeries17(2):7475.doi:10.2307/2007124.JSTOR2007124
[] Weisstein,EricW."Peano'sAxioms."FromMathWorldAWolframWebResource.http://mathworld.wolfram.com/PeanosAxioms.html
[] Knoebel,R.A."ExponentialsReiterated."Amer.Math.Monthly88,235252,1981. [] Knuth.Twonotesonnotation.(AMM99no.5(May1992),403422).[] D.Kouznetsov(July2009)."Solutionof ( 1) exp( ( ))F z F z incomplex z plane". MathematicsofComputation78(267):16471670.doi:10.1090/S0025571809021887
[] Corless,R.M.;Gonnet,G.H.;Hare,D.E.G.;Jeffrey,D.J.;Knuth,D.E.(1996). "OntheLambertW function"(PostScript).AdvancesinComputationalMathematics5:333. doi:10.1007/BF02124750
[] Weisstein,EricW."Graham'sNumber."FromMathWorldAWolframWebResource. http://mathworld.wolfram.com/GrahamsNumber.html
[] Weisstein,EricW."LambertWFunction."FromMathWorldAWolframWebResource. http://mathworld.wolfram.com/LambertWFunction.html
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... Z20 = 0.07920748244618858 + 0.4264420771911572 i Z21 = 0.07442098007635442 + 0.4175548066868695 i Z22 = 0.08118646568821619 + 0.4121496758984591 i
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Z1 = -0.0817 -0.0756 i Z2 = -0.91904047 + 0.10235303999999999 i Z3 =-0.0858407592994207 -0.09813317197505758 i Z4 = -0.9222614834847852 + 0.10684765198959914 i Z5 = -0.08085017681613382 -0.10708294806158752 i Z6 = -0.9249300066743605 + 0.10731535056954444 i Z7 = -0.07602106722123159 -0.10851837583710017 i
... Z91 = -0.07435117725012241 -0.1057209549160274 i Z92 = -0.9256488227498776 + 0.10572095491602751 i Z93 = -0.07435117725012241 -0.10572095491602751 i Z94 = -0.9256488227498776 + 0.10572095491602752 i Z95 = -0.07435117725012241 -0.10572095491602754 i Z96 = -0.9256488227498777 + 0.10572095491602752 i Z97 = -0.0743511772501223 -0.10572095491602754 i Z98 = -0.9256488227498777 + 0.10572095491602751 i Z99 = -0.0743511772501223 -0.10572095491602751 i Z100 = -0.9256488227498777 + 0.1057209549160275 i Z101 = -0.0743511772501223 -0.10572095491602751 i Z102 = -0.9256488227498777 + 0.1057209549160275 i Z103 = -0.0743511772501223 -0.10572095491602751 i Z104 = -0.9256488227498777 + 0.1057209549160275 i Z105 = -0.0743511772501223 -0.10572095491602751 i
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Z1 = -0.58 + 0.5599999999999999 i Z2 = -0.07719999999999996 + 0.05040000000000011 i Z3 =-0.09658032000000003 + 0.69221824 i Z4 = -0.5698383335773952 + 0.5662906817419263 i Z5 = -0.09596940981347293 + 0.05461172319154728 i Z6 = -0.09377231269000387 + 0.6895178903128208 i Z7 = -0.5666416744342114 + 0.5706846255684687 i Z8 = -0.10459815465461644 + 0.053252616388043794 i
... Z158 = -0.10871738176813076 + 0.04678616835683036 i Z159 = -0.09036947645099619 + 0.6898270605465648 i Z160 = -0.567694731188287 + 0.5753213793933545 i Z161 = -0.10871738176813076 + 0.04678616835683036 i Z162 = -0.09036947645099619 + 0.6898270605465648 i Z163 = -0.567694731188287 + 0.5753213793933545 i
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1 2 3 4 5 6 canvas = document.getElementById("Output"); 7 context = canvas.getContext("2d"); 8 9 view = [0,0]; 10 zoom = 1; 11 iteration = 1000; 12 13 function mandelbrot(px,py) 14 { 15 Cx = (px-canvas.width/2)/(canvas.width*zoom/4) + view[0]; 16 Cy = (py-canvas.height/2)/(canvas.width*zoom/4) + view[1]; 17 x = Cx ; 18 y = Cy ; 19 20 for (n = 0; n < iteration && x*x + y*y
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function color(p) 35 { 36 if(p == "mandelbrotPoint") 37 { 38 return {r:0,g:0,b:0}; 39 } 40 41 return {r:255,g:255,b:255}; 42 } 43 44 function draw() 45 { 46 for (Px = 0; Px < canvas.width; Px += 1) 47 { 48 rgb = color(mandelbrot(Px,Py)); 49 context.fillStyle = "rgb("+ rgb.r +","+ rgb.g +","+ rgb.b +")"; 50 context.fillRect(Px,Py,1,1); 51 } 52 53 Py += 1; 54 55 if(Py
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function color(p) 35 { 36 if(p == "mandelbrotPoint") 37 { 38 return {r:0,g:0,b:0}; 39 } 40 41 h = ? 42 s = ? 43 v = ? 44 45 i = Math.floor(h/60); 46 f = h/60 - i; 47 48 if (s < 0) {s = 0} 49 if (s > 1) {s = 1} 50 if (v < 0) {v = 0} 51 if (v > 1) {v = 1} 52 if (i == 0) {R = v; G = v*(1-s+s*f); B = v*(1-s); }else 53 if (i == 1) {R = v*(1-s*f); G = v; B = v*(1-s); }else 54 if (i == 2) {R = v*(1-s); G = v; B = v*(1-s+s*f);}else 55 if (i == 3) {R = v*(1-s); G = v*(1-s*f); B = v; }else 56 if (i == 4) {R = v*(1-s+s*f); G = v*(1-s); B = v; }else 57 {R = v; G = v*(1-s); B = v*(1-s*f); } 58 59 return {r:Math.round(R*256) ,g:Math.round(G*256) ,b:Math.round(B*256)}; 60 } 61
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(Px=255)| | n Py 4.710999723728467551804.79298336084624151814.879669886550539551824.97160000391408951835.09832242416934461845.21304962241339861855.33879304226393361865.47793017611590361875.63367140481296361885.81049165397009161896.00420016625284871906.23790239532327371916.51493969310004271926.847053053460605671937.2790404339580881947.83480731832639181958.68101608798669591969.422001376081937101979.689127897473888101989.825105695918331019910.10434634886035511200
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1 2 3 4 5 6 canvas = document.getElementById("Output"); 7 context = canvas.getContext("2d"); 8 9 view = [0,0]; 10 zoom = 1; 11 iteration = 1000; 12 13 function mandelbrot(px,py) 14 { 15 Cx = (px-canvas.width/2)/(canvas.width*zoom/4) + view[0]; 16 Cy = (py-canvas.height/2)/(canvas.width*zoom/4) + view[1]; 17 x = Cx ; 18 y = Cy ; 19 20 for (n = 0; n < iteration && x*x + y*y 1) {s = 1} 51 if (v < 0) {v = 0} 52
-
if (v > 1) {v = 1} 53 if (i == 0) {R = v; G = v*(1-s+s*f); B = v*(1-s); }else 54 if (i == 1) {R = v*(1-s*f); G = v; B = v*(1-s); }else 55 if (i == 2) {R = v*(1-s); G = v; B = v*(1-s+s*f);}else 56 if (i == 3) {R = v*(1-s); G = v*(1-s*f); B = v; }else 57 if (i == 4) {R = v*(1-s+s*f); G = v*(1-s); B = v; }else 58 {R = v; G = v*(1-s); B = v*(1-s*f); } 59 60 return {r:Math.round(R*256) ,g:Math.round(G*256) ,b:Math.round(B*256)}; 61 } 62 63 function interpolation(PX,PY) 64 { 65 d = 0.25; 66 67 C1 = color(mandelbrot(PX-d,PY-d)); 68 C2 = color(mandelbrot(PX-d,PY+d)); 69 C3 = color(mandelbrot(PX+d,PY-d)); 70 C4 = color(mandelbrot(PX+d,PY+d)); 71 72 return {r: Math.round((C1.r + C2.r + C3.r + C4.r)/4), 73 g: Math.round((C1.g + C2.g + C3.g + C4.g)/4), 74 b: Math.round((C1.b + C2.b + C3.b + C4.b)/4)}; 75 } 76 77 function draw() 78 { 79 for (Px = 0; Px < canvas.width; Px += 1) 80 { 81 rgb = interpolation(Px,Py); 82 context.fillStyle = "rgb("+ rgb.r +","+ rgb.g +","+ rgb.b +")"; 83 context.fillRect(Px,Py,1,1); 84 } 85 86 Py += 1; 87 88 if(Py
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1 2 3 4 5 6 canvas = document.getElementById("Output"); 7 context = canvas.getContext("2d"); 8 9 view = [0.2523076404107750245,0.000177232451031179527]; 10 zoom = 1121184869.0216826146436341797303; 11 iteration = 5000; 12 13 function mandelbrot(px,py) 14 { 15 Cx = (px-canvas.width/2)/(canvas.width*zoom/4) + view[0]; 16 Cy = (py-canvas.height/2)/(canvas.width*zoom/4) + view[1]; 17 x = Cx; 18 y = Cy; 19 dz = [1,0]; 20 21 for (n = 0; n < iteration && x*x + y*y 1) {s = 1} 56 if (v < 0) {v = 0} 57 if (v > 1) {v = 1} 58 if (i == 0) {R = v; G = v*(1-s+s*f); B = v*(1-s); }else 59 if (i == 1) {R = v*(1-s*f); G = v; B = v*(1-s); }else 60
-
if (i == 2) {R = v*(1-s); G = v; B = v*(1-s+s*f);}else 61 if (i == 3) {R = v*(1-s); G = v*(1-s*f); B = v; }else 62 if (i == 4) {R = v*(1-s+s*f); G = v*(1-s); B = v; }else 63 {R = v; G = v*(1-s); B = v*(1-s*f); } 64 65 return {r:Math.round(R*256),g:Math.round(G*256),b:Math.round(B*256)}; 66 } 67 68 function interpolation(PX,PY) 69 { 70 d = 0.25; 71 72 C1 = color(mandelbrot(PX-d,PY-d)); 73 C2 = color(mandelbrot(PX-d,PY+d)); 74 C3 = color(mandelbrot(PX+d,PY-d)); 75 C4 = color(mandelbrot(PX+d,PY+d)); 76 77 return {r: Math.round((C1.r + C2.r + C3.r + C4.r)/4), 78 g: Math.round((C1.g + C2.g + C3.g + C4.g)/4), 79 b: Math.round((C1.b + C2.b + C3.b + C4.b)/4)}; 80 } 81 82 function draw() 83 { 84 for (Px = 0; Px < canvas.width; Px += 1) 85 { 86 rgb = interpolation(Px,Py); 87 context.fillStyle = "rgb("+ rgb.r +","+ rgb.g +","+ rgb.b +")"; 88 context.fillRect(Px,Py,1,1); 89 } 90 91 Py += 1; 92 93 if(Py
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:
1.76857365631527099328174291532954471293412005340554988233751113528277655336463538201197793353633219864780879587457664323003444860982060845884452916908328537926083358113196132348066749594983804325362691224044888474536466283249590645430.0009642968513582800001762427203738194482747761226565635652857831533070475543666558930286153827950716700828887932578932976924523447497708248894734256480183898683164582055541842171815899305250842692638349057118793296768325124255746563i
rendering 6 teamfresh . ! 6.06610228 . .
. .
fractus.ir
: []TheBeautyofFractals:ImagesofComplexDynamicalSystems,HeinzOttoPeitgen,PeterH.Richter[]OnSmoothFractalColoringTechniques,Hrknen,Jussi[]Coloringdynamicalsystemsinthecomplexplane,FranciscoGarcia,AngelFernandez,JavierBarrallo,LuisMartin[]DeladinmicaalageometraenelconjuntodeMandelbrot,IigoQuilez[]InspectionsontheMandelbrotSetsofMonicOneDimensionalPolynomials,IigoQuilez []CanWeSeetheMandelbrotSet?,JohnEwing,TheCollegeMathematicsJournal,Vol.26,No.2(March1995)[]OperatingwithexternalargumentsintheMandelbrotsetantenna.G.Pastor,M.Romera,G.Alvarez,F.Montoya[]http://en.wikipedia.org/wiki/Mandelbrot_set[]http://mathworld.wolfram.com/MandelbrotSet.html[]http://mrob.com/pub/muency.html[]http://guciek.github.com/web_mandelbrot.html[]http://cosinekitty.com/mandel_orbits_analysis.html[]http://www.ricsfractals.net/math/banach/banach.htm[]http://www.physics.arizona.edu/~restrepo/475A/Notes/sourcea/node21.html[]http://iquilezles.org/www/articles/distancefractals/distancefractals.htm[]http://fanf.livejournal.com/110025.html[]http://hdfractals.com/lastlightson/[]http://tech-algorithm.com/articles/bilinear-image-scaling/[]http://en.wikipedia.org/wiki/HSL_and_HSV
: . FoxitReader5.3 AdobeReader10
http://tech-algorithm.com/articles/bilinear-image-scaling/http://hd-fractals.com/last-lights-on/http://fractus.ir/
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[email protected] : [email protected]:
[email protected]: [email protected]:
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http://hupaa.com/Data/pdf/shomar/Hupaa_Shomar_01.pdf
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