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İzahVolume under surface.png
Illustration of volume under a surface (double integral)
Tarix
(UTC)
Mənbə
self-made with MATLAB
Müəllif
Oleg Alexandrov
Public domainPublic domainfalsefalse
Source code (MATLAB)
% illustration of the volume under a surfacefunctionmain()L=5;% box sizeN=100;% number of points in a lot of placeslw=2;% width of linesalphatop=1;% transparencyalphaside=0.82;alphabot=0.8;bluetop=[0,1,0.8];blueside=[0.2,0.9,0.8];%bluetop;%[0, 0, 1];bluebot=[0.5,0.5,0.5];%bluetop;%[0, 0, 1];black=[0,0,0];% the function whose surface we will plotf=inline('10-(x.^2-y.^2)/8','x','y');XX=linspace(-L,L,N);YY=XX;[X,Y]=meshgrid(XX,YY);Z=f(X,Y);% the surface of the sideXS=[XX,0*XX+Linvert_vector(XX),0*XX-L];YS=[0*XX-L,YY,0*XX+L,invert_vector(YY)];XS=[XS'XS']';YS=[YS'YS']';ZS=0*XS;ZS(2,:)=f(XS(2,:),YS(2,:));% the contour of the bottomXD=[-L,L,L,-L,-L];YD=[-L,-L,L,L,-L];ZD=XD*0;% prepare figure 1 for plottingfigure(1);clf;holdon;axisequal;axisoff;% plot the function usurf(X,Y,Z,'FaceColor',bluetop,'EdgeColor','none','FaceAlpha',alphatop);% topsurf(X,Y,0*Z,'FaceColor',bluebot,'EdgeColor','none','FaceAlpha',alphabot);% bottom surf(XS,YS,ZS,'FaceColor',blueside,'EdgeColor','none','FaceAlpha',alphaside);% sidesphi=-68;theta=28;view(phi,theta);camlightheadlight;lightingphong;% make nice lightningprint('-dpng','-r200','Volume_under_surface.png')% save to file.functionZ=invert_vector(X)N=length(X);Z=X;fori=1:NZ(i)=X(N-i+1);end
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Fayl Faylin tarixcesi Istifade edilen sehifeler Faylin qlobal istifadesiSinaq gosterisi olcusu 500 599 piksel Diger olculer 200 240 piksel 636 762 piksel Faylin orijinali 8206 636 762 piksel fayl hecmi 56 KB MIME novu image png Bu fayl Vikimedia Commons dadirve diger layihelerde istifade edile biler Faylin tesvir sehifesine get IzahVolume under surface png Illustration of volume under a surface double integral Tarix 30 dekabr 2007 03 15 UTC Menbe self made with MATLABMuellif Oleg Alexandrov Public domain Public domain false falseMen bu eserin muellif huquqlarinin sahibi kimi eseri ictimai mulkiyyete verirem Bu icaze butun dunyada quvvededir In some countries this may not be legally possible if so Bunun qanunla mumkun olmadigi hallarda Istenilen sexse istenilen meqsed ucun qanunlar terefinden qadagan edilmeyince hec bir sert qoymadan bu isden istifade haqqini bagislayiram Source code MATLAB illustration of the volume under a surface function main L 5 box size N 100 number of points in a lot of places lw 2 width of lines alphatop 1 transparency alphaside 0 82 alphabot 0 8 bluetop 0 1 0 8 blueside 0 2 0 9 0 8 bluetop 0 0 1 bluebot 0 5 0 5 0 5 bluetop 0 0 1 black 0 0 0 the function whose surface we will plot f inline 10 x 2 y 2 8 x y XX linspace L L N YY XX X Y meshgrid XX YY Z f X Y the surface of the side XS XX 0 XX L invert vector XX 0 XX L YS 0 XX L YY 0 XX L invert vector YY XS XS XS YS YS YS ZS 0 XS ZS 2 f XS 2 YS 2 the contour of the bottom XD L L L L L YD L L L L L ZD XD 0 prepare figure 1 for plotting figure 1 clf hold on axis equal axis off plot the function u surf X Y Z FaceColor bluetop EdgeColor none FaceAlpha alphatop top surf X Y 0 Z FaceColor bluebot EdgeColor none FaceAlpha alphabot bottom surf XS YS ZS FaceColor blueside EdgeColor none FaceAlpha alphaside sides phi 68 theta 28 view phi theta camlight headlight lighting phong make nice lightning print dpng r200 Volume under surface png save to file function Z invert vector X N length X Z X for i 1 N Z i X N i 1 endCaptionsazerbaycancaAdd a one line explanation of what this file representsItems portrayed in this filetesvir ediryaradiciSome value without a Vikiverilenler itemURL ingilis https commons wikimedia org wiki user Oleg Alexandrovmuellifin qisa adi Oleg AlexandrovWikimedia username ingilis Oleg Alexandrovcopyright status ingiliscopyrighted dedicated to the public domain by copyright holder ingilislisenziyareleased into the public domain by the copyright holder ingilisyaranma tarixi30 dekabr 2007MIME type ingilisimage png Faylin tarixcesi Faylin evvelki versiyasini gormek ucun gun tarix bolmesindeki tarixlere klikleyin Tarix VaxtKicik sekilOlculerIstifadeciSerh indiki03 16 30 dekabr 2007636 762 56 KB Oleg Alexandrovcrop 03 15 30 dekabr 20071 600 1 200 70 KB Oleg Alexandrov Information Description Illustration of double integral Source self made with MATLAB Date Author Oleg Alexandrov Permission See below other versions PD self Source code en MATLAB Istifade edilen sehifeler Bu 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