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It is important that the transmission, reflectance, and emission characteristics of the exciter and dichroic be closely matched, and that they be appropriate for the absorption and emission maxima of the dye; otherwise, excitation wavelengths can pass through the dichroic and fog the image, or fluorescent wavelengths can be reflected at the dichroic, reducing image brightness Even when filters and fluorochromes are appropriately matched, performance is usually compromised somewhat if the transmission profiles of the exciter and dichroic overlap When this happens, some excitation light passes through the dichroic, reflects off the walls of the filter cube, and can be partially transmitted by the emission filter, because the angle of incidence with that filter is oblique Transmission of unwanted wavelengths through a filter set is called bleed-through, and the amount of bleed-through for typical filter sets is generally about 10%.

More precisely, a path p connecting two nodes v and w is energy optimal if any other path q connecting these two nodes satis es f (p) f (q) For each energy minimal path p, there has to be a path p in the subtopology that connects the same end points of p and that satis es f (p ) = f (p) A less restrictive form of this de nition is topology control mechanisms that support energy ef cient paths up to a constant factor; that is, there exists a speci c constant c 1 such that for each energy minimal path p in the original topology, there exists a path p in the subtopology that connects the same end points and that satis es f (p ) cf (p) A topology with this property is also denoted as a spanner with respect to the considered edge weight function.

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Microscope manufacturers continue to improve fluorescence optical designs to give higher contrast images It is important to recognize that in addition to reflecting the excitation band of wavelengths, a dichroic mirror usually reflects bands of wavelengths shorter than the excitation band Therefore, you cannot always depend on the dichroic filter to block transmission of unwanted short wavelengths, which to a greater or lesser extent always leak through the exciter filter It is usually wise to insert an additional UV-blocking filter into the beam when examining live cells by fluorescence microscopy Advances in thin film coating technology allow for creation of multiple transmission peaks and alternating reflection troughs in a single interference filter or dichroic mirror When matched appropriately, two filters and a dichroic mirror can be combined to create a multiple fluorescence filter set that allows simultaneous excitation and fluorescence transmission of multiple fluorochromes (Fig 11-9).

on a Bond-Equivalent Basis, 3-Month Horizon Change in Yield Level (basis points) 100 50 0 50 100 Treasury Bill (1 year) (%) 8.943 7.580 6.229 4.883 3.545 7.75% Treasury Note (10 year) (%) 36.800 21.870 8.030 4.820 16.750 Treasury STRIPS (30 year) (%) 75.040 39.100 7.920 19.130 42.610

Energy optimality can as well be expressed in terms of optimizing the transmission power assignment, which refers to the minimum power needed at a node in order to reach all its neighbors in the constructed topology Two objectives have been considered so far, min-max and min-total assignments The min-max assignment problem is to nd a transmission power assignment such that the topology is connected and the maximum over the transmission power assigned to each node is minimal The min-total assignment problem tries to nd a transmission power assignment such that the resulting topology is connected and the sum over the transmission powers assigned to each node is minimal The transmission power assignment problem has some similarity to the minimum energy broadcasting problem Any broadcasting can be seen as a directed tree T rooted at the broadcasting initiator.

Multiple-wavelength filters and dichroic mirrors are now commonly employed in research-grade microscopes and confocal fluorescence microscope systems (see 12) Double, triple, and even quadruple fluorescence filter sets are available for fluorescence microscopy, although these sets are expensive and suffer somewhat from bleed-through that is, the transmission of fluorescence from one dye through bandwidths intended for other dyes The clearest multifluorochrome images are obtained by taking separate gray-scale pictures with filter sets optimized for each dye and then combining the images into a single composite color image, either electronically with a computer or in the darkroom..

The cost of a broadcasting tree can be calculated as the sum over the cost of each node in the tree Leaf nodes require no further transmission and are assigned energy cost 0 Under the assumption that the communication hardware supports transmission power adjustments, intermediate nodes are assigned the minimum power required in order to reach all neighbor nodes in the broadcasting tree Finding an optimal broadcasting tree is not possible in polynomial.

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