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Science Forum Index » Math - Numerical Analysis Forum » Parallel Functions
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Message |
| Narek Saribekyan |
 Posted: Thu Mar 08, 2007 12:46 pm |
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Guest
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Let's call a smooth function g parallel to smooth function f, if there
is a vector d(x), such that
a. Graphics do not intersect.
b. For each polar vector r(x) with it's vertex on graphic(f), r(x)
+d(x) (vector addition) (|d| = constant) lays on graphic(g).
For example, d(x) can be a unit vector perpendicular to tangent of
graphic(f) in x(laying above). In this case graphic(g) is the locus of
unit circles centers that are tangent to the graphic(f) in x.
I wonder, if I can find g || e^x and h || ln(x).
NOTE: The intersection of g and h will be the center of unit circle
tangent to each e^x and ln(x).
Thanks,
Narek Saribekyan |
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