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... s : xj cn No. 175. Notice of Transfer of Separate Estate to Joint Estate for G-azette.* . (Title.) Notice is hereby given that there being hi the hands of the trustee in the above bankruptcy a surplus estimated at £..... arising from ...
... is the initial moisture and Sro is the initial degree of saturation . Thus , substitution of equation ( 9.5 ) into equation ( 9.4 ) yields A ----- ( V − Vv ) Ps S V1 ( 1 - Sro ) ( 1 - n ) n ( 1 - Sro ) -Ps where n is the soil porosity ...
... S The initial abstraction (Ia) consists of evaporation, interception, infiltration, and surface depression storage. If rainfall depth is lower or equal to the initial abstraction, the direct runoff is assumed to be zero (i.e., all ...
... S \ UX ; M ( ) ¡Â = [ e ( 1 + | F ; ( 5 ) ] in X ;. By ( 4 ) and ( 5 ) , it follows that ( 15 ) Hence ( 8 ) implies ( 16 ) ❤ ( log M ( ) ) ¡Â ( FD ) in S \ UX ; in Xj . ( log M ) do ; < 4 . i2 i = 1 MN is the absolute value of a ...
... S 1 triplet excitations . Spinon and holon are confined to form nodal quasiparticles . Te is related to the phase coherence transition and is scaled with the spin ' resonance ' energy Eg ~ xJ . Above Te , a pseudogap phase is found in ...
... s xj cn of ostis aur ; & c . METS ¥ã¥å¥íό¥ì¥å¥è¥á ¥ó ¥óῷ ¥ëύ¥ó¥ñ¥á . ¥ò¥å ¥öά¥ò¥å¥éς Chryfo demus fecundo Chryfoftomi mentem effe , [ ftiam nos conjungi Chrifto nova quadam & vera Chryfo- tomus . Chriftum per proprium corpus ac fanguinem vnione . Sed ...
... S. ( x ) = ¥Ò Shxt , k = 0 the formulas ( 34 ) and ( 35 ) give S Ch - 2x - ( n = k ) ( - = - ( -1 ) * - C : -- [ 2 ( " + ) - ( − − 1 ) ] ( − 1 ) .. = n k Furthermore , 3 2 1 4 1 3 1 5 3 4 1 6 1 6 5 1 7 4 10 6 8 1 10 15 9 5 10 20 10 1 ...
... Xj is non - zero for at most -deM + cf ; Ni = ( cN - d'eM ) / d many j . Hence V A xj = 0 . ( 8 ) SC { 1 , ... , N } jes | S | > ( cN - d2eM ) / d is Similarly if ẞr = then it follows from ( 7 ) that the rth coordinate of Xj non - zero ...
... s ( uli ) et ei proco ( n ) s ( uli ) [ Caballos , Eck , Fernández 1996 : 123 , followed by González 2002 : 385 ] ; Eck , Caballos , Fernández ( 1996 ) 40 n.41 argue that pro co ( n ) s ( ule ) should be understood as dative case in ...
... s ) [1 − 1D C (a is s /a determined ¡Ñ )].19,58,59 by the 1D scattering length, given by a1D = Here the numerical ... xj ) i<j exp N¢² ikp j xj ¢³ ( 1 + ikpj − ikpi 1¡Âi<j¡ÂN ) c p j=1 (2) where p stands for N! permutations ...