ಮೂಲ ಕಡತ(SVG ಫೈಲು, ಸುಮಾರಾಗಿ ೫೧೨ × ೩೪೮ ಚಿತ್ರಬಿಂದುಗಳು, ಫೈಲಿನ ಗಾತ್ರ: ೨೦ KB)

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English: The definition of surface integral relies on splitting the surface into small surface elements. Figure 1: The definition of surface integral relies on splitting the surface into small surface elements. Each element is associated with a vector dS of magnitude equal to the area of the element and with direction normal to the element and pointing outward.
ದಿನಾಂಕ ಡಿಸೆಂಬರ್ ೧೧, ೨೦೧೪
ಆಕರ Own work based on: Surface integral illustration.png & SVG - Export of figures
ಕರ್ತೃ McMetrox
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(ಈ ಕಡತವನ್ನು ಮರುಬಳಕೆ ಮಾಡಲಾಗುತ್ತಿದೆ)
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This diagram was created with MATLAB.
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MATLAB code

% An illustration of the surface integral.
% It shows how a surface is split into surface elements.
 
function main()
 
% the function giving the surface and its gradient
   f=inline('10-(x.^2+y.^2)/15', 'x', 'y');
 
   BoxSize=5; % surface dimensions are 2*BoxSize x 2*BoxSize
   M = 10; % M x M = the number of surface elements into which to split the surface
   N=10;  % N x N = number of points in each surface element
   spacing = 0.1; % spacing between surface elements
   H=2*BoxSize/(M-1); % size of each surface element
   gridsize=H/N;      % distance between points on a surface element 
 
   figure(1); clf; hold on; axis equal; axis off;
 
   for i=1:(M-1)
	  for j=1:(M-1)
		 Lx = -BoxSize + (i-1)*H+spacing; Ux = -BoxSize + (i  )*H-spacing;
		 Ly = -BoxSize + (j-1)*H+spacing; Uy = -BoxSize + (j  )*H-spacing;
 
%        calc the surface element
		 XX=Lx:gridsize:Ux; 
		 YY=Ly:gridsize:Uy;
		 [X, Y]=meshgrid(XX, YY);
		 Z=f(X, Y);
 
%        plot the surface element
		 surf(X, Y, Z, 'FaceColor','red', 'EdgeColor','none', ...
			  'AmbientStrength', 0.3, 'SpecularStrength', 1, 'DiffuseStrength', 0.8);
 
	  end
   end
 
 
   view (-18, 40);                     % viewing angle 
   %camlight headlight; lighting phong; % make nice lightning 
 
%  save to file
   plot2svg('Surface_integral_illustration.svg');

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Wikimedia username ಇಂಗ್ಲಿಷ್: McMetrox
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೧೧ ಡಿಸೆಂಬರ್ 2014

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ಪ್ರಸಕ್ತ೦೬:೦೬, ೧೨ ಡಿಸೆಂಬರ್ ೨೦೧೪೦೬:೦೬, ೧೨ ಡಿಸೆಂಬರ್ ೨೦೧೪ ವರೆಗಿನ ಆವೃತ್ತಿಯ ಕಿರುನೋಟ೫೧೨ × ೩೪೮ (೨೦ KB)McMetroxReduced file size
೦೫:೨೦, ೧೨ ಡಿಸೆಂಬರ್ ೨೦೧೪೦೫:೨೦, ೧೨ ಡಿಸೆಂಬರ್ ೨೦೧೪ ವರೆಗಿನ ಆವೃತ್ತಿಯ ಕಿರುನೋಟ೫೧೨ × ೩೪೮ (೩೯ KB)McMetrox{{Information |Description ={{en|1=The definition of surface integral relies on splitting the surface into small surface elements. Figure 1: The definition of surface integral relies on splitting the surface into small surface elements. Each element...

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