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Zooming for continuity and integrals
The "zeroth" kind of zooming that comes to mind is appropriate for questions about continuity of vector fields, for integral curves, for line integrals etc.
Magnify the DOMAIN ONLY, and see the field inside the lens converge to a constant vector field, generally different constant vector fields at different points. The user may drag the lens to different points on the screen, while choosing magnification factors and lens size. The standard setting uses magnification one for the range, and magnifications of up to 1024 for the domain to observe convergence to a practically constant field. More advanced uses work with the magnification of the range, too. 


 

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