The reason behind this is that while we know that the function is locally a C 1 -diffeomorphism by the usual local inverse function theorem, the condition that | f ( y ) | → ∞ as | y | → ∞, guarantees that the function is both injective and, more importantly, surjective on the whole of R n.
On the other hand, interpreting the SV filtered image as a superposition of the local weighted PSFs, as in Equations 4 and 7, it is usually less convenient, in a computational and operational sense, than the more usual local inner product interpretation, using the IKs, as in Equation 6.
With this election, issues larger than the usual local horse-trading are at stake.
There were the usual local complaints over the display of the officials.
(Instead of selectmen — the usual local governance in Maine towns of this size — Chester's Mill apparently has a town council).
As usual, local theaters will offer special performances of their current plays, with, of course, salutary beverages and noshes.
This problem is the nonlocal analogous to the usual local convection diffusion equation ut= Δu+b⋅∇(f u)).
There are the usual local fish, like flounder, striped bass, bluefish and blackfish, as well as lobster.
"The economy and Iraq are such overpowering issues right now that they crowd out the usual local concerns," says Zach Smith, a political scientist at Northern Arizona University.
The difference between this amount and the estimated building costs could be made up by a mortgage loan arranged with a financial institution working within the system, at the usual local interest rate.
Details: The Zeroconf-to-Zeroconf Toolkit (z2z) is an open-source command line program that extends the reach of Apple Bonjour services beyond the usual local subnet by exporting and importing service announcements across the Internet.
