The most simple (and useful) linear expansions for Hilbert spaces are the ones that are based on orthonormal bases. Recall that a set of vectors {xα} in an inner product space (IPS) X is said to be orthogonal if xα ⊥ xβ whenever α 6= β. In addition, if each vector in the set is normalized to have unit norm then the set is said to be orthonormal. Orthonormal sets have many nice properties that m...

objective: the morphology of anterior cerebral artery (aca) in patients with hydrocephalus was analyzed (hcp), and its importance was discussed in maintaining cerebral perfusion. materials & methods: two groups were created for the study. group 1; patients with hydrocephalus and group 2; as control group without hcp. in both groups, the length of the a2 segment of aca was measured from its orig...

Useful proposition. Consider the blow-up of P at n general points, giving exceptional divisors E1, : : : , En. Then the intersection ring on P is given by Z[H;E1; : : : ; En]=H 2 = 1; HEi = 0; Ei Ej = 0; E 2 i = 1: We can understand divisors and sections of divisors in terms of divisors on P with certain multiplicities at the Ej . More precisely: the vector space of sections of aH b1E1 bnEn is ...

Sik,?It was with great interest that I read in J01'1 issue Colonel Wimberley's article on the out iea Dengue-like fever amongst the 15tli Sikhs, It struck me that if there is a differential diagnosis a < between ' Breakbone Dengue ' and the Seven-Day I e\ei c cribed by Major Leonard Rogers?then these interesting cases must fall under the latter heading?and this, in spi e the fact that the fever...

Triclosan is a potent inhibitor of FabI (enoyl-ACP reductase, where ACP stands for acyl carrier protein), which catalyses the last step in a sequence of four reactions that is repeated many times with each elongation step in the type II fatty acid biosynthesis pathway. The malarial parasite Plasmodium falciparum also harbours the genes and is capable of synthesizing fatty acids by utilizing the...

and Applied Analysis 3 Remark 2.4. Lemma 2.3 is a direct variation of 19, Lemma 2.5 β1 , and we note a m,n ≥ 0 here. Theorem 2.5. Suppose that u m,n , a m,n ∈ ℘ Ω , bi s, t,m, n , ci s, t,m, n ∈ ℘ Ω2 , i 1, 2, . . . , l1, di s, t,m, n , ei s, t,m, n ∈ ℘ Ω2 , i 1, 2, . . . , l2 with bi, ci, di, ei nondecreasing in the last two variables. p, qi, ri are nonnegative constants with p ≥ qi, p ≥ ri, i...

World energy consumption is on the rise. Consequently, there is increasing focus on research on energy informatics (EI). Given the nascent state of research in EI, it is important for researchers to understand what has been accomplished within the EI literature and to be provided with a roadmap of what should be examined in future studies. Our study attempts to contribute towards this by provid...

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48 53 88 7/ 3/ 20 14 91 36 D aw n D aw n C us to m er s ta te d th e C A d id n ot fo llo w p ol ic y/ pr oc ed ur e. C A d id no t r ea d th ei r p ro fil e or a nn ou nc ed th ei r c al l. 7/ 3/ 20 14 C us to m er S er vi ce a po lo gi ze d an d st at ed th e C A w ou ld b e co un se le d an d m on ito re d m or e fre qu en tly . I nf or m at io n w as fo rw ar de d to m an ag em en t a nd C ...

as partial offset volumes to exploit the AVO information in the data. However, there has been significant asymmetry in the way these volumes could be calibrated and inverted. The amplitudes of near-offset, or intercept, stacks relate to changes in acoustic impedance and can be tied to well logs using synthetics based on acoustic impedance (AI) or inverted, to some extent, back to AI using posts...