"Our graves were not aligned correctly so they had to use two grave spaces . . . we had an arrangement where we would only charge them for one-and-a-half spaces but it wasn't really satisfactory ."
12.
If there is such a need, then you must go through the trouble of solving the problem for the other half space, and then compare its result to the former result, and then return the proper result.
13.
Likewise, speaker proximity much less than 1 / 4 wavelength to one or more boundaries such as floor / walls / ceiling can increase the effective sensitivity by changing free space into half space, quarter space, or eighth space.
14.
The disturbance in the jet is a symmetric vortex ring that moves at some speed slower than the mean jet speed until it encounters the hole and some fluid is forced through it, resulting in a monopole-like sound field in the half space outside.
15.
Item ( 2 ) introduces the concept of incomplete markets, formulated in terms of net trade, the budget set is contained in a half space intersecting the positive cone of contingent goods at zero net trade only ( this is called absence of arbitrage ).
16.
Here " Z " is an element of the Siegel upper half space of degree " d ", and the sum is over equivalence classes of matrices " C ", " D " that are the " bottom half " of an element of the Siegel modular group.
17.
Subsequently Derjaguin and his collaborators by applying Bradley's surface force law to an elastic half space, confirmed that as the Tabor parameter increases, the pull-off force falls from the Bradley value 2 \ pi R \ Delta \ gamma to the JKR value ( 3 / 2 ) \ pi R \ Delta \ gamma.
18.
If " V " is a vector space, one distinguishes " vector hyperplanes " ( which are linear subspaces, and therefore must pass through the origin ) and " affine hyperplanes " ( which need not pass through the origin; they can be obtained by reflection that fixes the hyperplane and interchanges those two half spaces.
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