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Solution of the differential equation (2.5.3) together with the initial and boundary conditions (2.5.4) and (2.5.5) yields the relationship (2.5.6) where the error function erf y is defined by the equation erf y = Table 2.3 Error function erf (x) = (2/VJT) Jj e"y2 dy

emission band was single, whereas the multiple bands were observed after longer UV irradiation. This may be perturbation effect of cis form on the molecular orientation of LC molecules. The lasing wavelength could be returned to the initial by visible light irradiation as shown in Fig. 10.31.

9

erf(jc)

erf(x) 0.880 0.910 0.914 0.952 0.966 0.976 0.984 0.989 0.993 0.995

Azobenzenes have simple chemical structures and exhibit simple photoisomerization between the trans- and cis form. However, they can really provide various photofunctions by their combination with sophisticated systems such as Ch LCs. The Ch LCs have a good potential for display applications, because they show interesting optical properties depending on the helical structures and the textures. Many types of optical materials can be created by the use of the photoisomerization of chiral azobenzenes in the Ch LCs. New ideas, including design of molecules and systems, may allow us for future materials not only in the eld of optics but also in other elds.

Another term that is used in describing multiprocessing is SMP or symmetric multiprocessing. SMP is considered a form of tightly coupled multiprocessing. SMP environments are made up of two or more identical processors that share main memory. Another way to say it is that any task can run on any processor no matter where the data is located in memory.

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0

Alam MZ, Yoshioka T, Ogata T, Nonaka T, Kurihara S. 2007. The in uence of molecular structure on helical twisting power of chiral azobenzene compounds. Liq Cryst 470:63 70. Bahr C, Escher C, Fliegner D, Heppke G, Molsen H. 1991. Behavior of helical pitch in cholesteric and chiral smectic C* phases. Ber Bunsen Ges 95(10):1233 1237.

0.000 0.113 0.223 0.329 0.428 0.521 0.604 0.678 0.742 0.797 0.843

Why create a cluster Three primary reasons exist for creating clusters in your business environment: increased availability through redundancy, increased workload capacity/software performance, and reduced management complexity. HA clusters address redundancy with automatic failover capabilities. Load balancing clusters, HPCC, and grid clusters address increased workload capacity, and high performance computing increases the performance of individual cluster-aware software programs. All clusters (except perhaps grid clusters) are managed as a single entity, reducing management complexity. Regardless of the type of clustered solution being implemented, all clustering solutions share several characteristics:

Belyakov VA 2006 Low threshold DFB lasing in chiral LC at diffraction of pumping wave Mol Cryst Liq Cryst 453:43 69 Berova N, Nakanishi K, Woody RW 2000 Circular Dichroism New York: Wiley VCH Bobrovsky AY, Shibaev VP 2002 Chiral nematic polymer mixture containing crosslinker and photosensitive chiral dopant: new type of materials with tunable photooptical properties Adv Funct Mater 12(5):367 372 Bobrovsky A, Shibaev V 2005 Thermo , chiro and photo optical properties of cholesteric azobenzene containing copolymer in thin lms J Photochem Photobiol A: Chem 172(2):140 145 Brehmer M, Lub J, Van de Witte P 1998 Light induced color change of cholesteric copolymers Adv Mater 10(17):1438 1441 De Gennes PG, Prost J 1993 The Physical of Liquid Crystals New York: Oxford University Press Demus D, Richter L 1978 Textures of Liquid Crystals Weinheim/New York: Deutscher pp 115 120 Demus D, editor 1998 Handbook of Liquid Crystals.

1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0

Weinheim: Wiley VCH Verlag GmbH Denekamp C, Feringa BL 1998 Optically active diarylethenes for multimode photo switching between liquid crystalline phases Adv Mater 10(14):1080 1082 Eelkema R, Pollard MM, Katsonis N, Vicario J, Broer DJ, Feringa BL 2006 Rotational reorganization of doped cholesteric liquid crystalline lms J Am Chem Soc 28(44):14397 14407 Feringa BL, Huck NPM, van Doren HA 1995 Chiroptical switching between liquid crystalline phases J Am Chem Soc 117(39):9929 9930 Feringa BL, van Delden RA, Koumura N, Geertsema EM 2000 Chiroptical molecular switches Chem Rev 100(5):1789 1816 Finkelmann H, Stegemeyer H 1974 Description of cholesteric mixtures by an extended Goossens theory Ber Bunsen Ges 78(9):869 874 Finkelmann H, Stegemeyer H 1978 Temperature dependence of the intrinsic pitch in induced cholesteric systems Ber der Bunsen Gesellschaft 82(12):1302 1308 Fukunaga H, Takimoto J, Doi M 2004.

Multiple computing nodes or systems (either physical or virtual) Some form of interconnect or network connecting the systems Either access to shared data (as in a shared-everything clustering model) or isolated nodes (as in a shared-nothing clustering model) Clustering software

For x < 0.1 in sufficient approximation erf (x) = 1. 128JC - 0.376*