... Voronoi summation formula for GL (3) , except for Lemma 5 .3 Proof of Lemma 5 .3 Recall the arguments and notation in the proof of Corollary 3. 38 Restated in terms of this notation, the first of the two ... third of the identities in Corollary 3. 38 The remaining two follow similarly from the proof of Proposition 3. 28 We should remark that the proof of parts a) and c) of Proposition 3. 28, andof the ... parity η + 3 , and Mη+ 3 g (s) = (−1)η+ 3 Gη+ 3 (s) Mη f (1 − s − 3 ) , (5.26) as follows from the formula [29, 4.51] for the Fourier transform of the signed Mellin kernel; here G 3 +η (s) denotes...
... (3. 4) Proof We will prove (3. 3) by induction on n By assumption (3. 2), (3. 3) holds for n = Suppose for induction that (3. 3) holds for some n ≥ In view of the definition of the ordering ≤µ , (3. 3) ... Theorem 3. 5 implies that ≥ for n ≥ Using (3. 17), (3. 18), (3. 30), and (3. 33) in (3. 34), we find xn ≤ Mwn + n−1 i=0 vn−i−1 h Mλi0 ,Mλi0−1 , ,Mλi0−r (3. 35) Writing the variation -of- constants formula for ... consequence of (2 .3) and (3. 3) Thus, (3. 5) also holds for i = n + Therefore, yn+1 , yn , , yn+1−k ≤µ xn+1 ,xn , ,xn+1−k (3. 7) Thus, (3. 3) is confirmed for all n ≥ Conclusion (3. 4) follows from (3. 3) and...
... to 25% and 13% of the total Indian population of sheep and goats, respectively Most of the sheep are of indigenous types and there is a general understanding that the indigenous breeds of sheep ... male and female sheep was 9.76% (8/82) and 9.2% (30 /32 6), respectively, and 6.06% (2 /33 ) and 5.41% (4/74), respectively in goats, indicating that prevalence of BTV was not affected markedly by ... JL, Anderson J Comparison of competitive ELISA, indirect ELISA andstandard AGID tests for detecting bluetongue virus antibodies in cattle and sheep Vet Rec 1989, 124, 136 -141 Anderson J Use of...
... method produced plausible standard error values forestimatesof heritability and this provides insight into the discussion of robustness and accuracy of RR estimatesof heritability at specific ... 10 equidistant ages 36 7 Standard error of heritability from random regression ˆ We then obtained the variance of vec(G) as in equation (4) and similarly for the two types of maternal effects, ... Heritability estimatesof weight over time ± standarderrors from random regression (continuous line) and univariate (discrete lines) analysis As can be seen in Figure 2, the ASE for heritability estimates...
... most famous former employee of IBJ is Hiroshi Mikitani, the CEO and chairman of Rakuten Inc By a stroke of luck, he also happened to be a former junior colleague of mine at IBJ, and we are a ... brand.” Elsewhere, by seeking the opinions of retail professionals like director of am/pm Japan and director of Family Mart, many potential bottlenecks became apparent Proceeding step -by- step by ... for “B” and “C” to meet and speak directly with each other I this because this way I can, together with “B” and “C,” eliminate the impediments of misunderstanding and move forward with work for...
... social and psychological dimensions, overlapping with measures of quality of life (QOL) [1 -3] A great deal of the well-being of any nation will be determined by physical and mental healthand existing ... samples Age and Ageing, 2009 38 (6) Streiner, D and G Norman, Health measurement scales: a practical guide to their development and use (3rd edition) 20 03: Oxford University Press Grundy, E and G Holt, ... status of older adults: how should we measure it in studies ofhealth inequalities Journal of Epidemiology and Community Health, 2001 55: p 895-904 Figure legends: Figure 1: Differences by ethnicity...
... Case 1 .3. 2.1 Kinds and choice of genitives Quirk (1987) and Tran (2008) state that there are genitives: ‘s genitives andof - genitives 1 .3. 2.2 Genitive meanings 1 .3. 3 Gender Gerald (2001 :38 ) states ... 1 .3. 1.1 Definition……………………………………………… … v 1 .3. 1.2 Classification of nouns in terms of number…………….……8 1 .3. 2 Case………………………………………………………………… 1 .3. 2.1 Kinds and choice of genitives…………………………… 1 .3. 2 .3 ... English, and some recommendations made by them (see appendix 2) 4 .3 The procedures 4 .3. 1 The mid-term test 4 .3. 2 Questionnaires 4 .3. 3 Interviews 4.4 Data analysis As above mentioned, the data for...
... counting for 33 .3% students, Ways of practicing unmarked plural nouns 50% Read them aloud Write the words in English many times Write both singular and plural forms of the words 33 .30 % 27.80% ... 1 .3. 1.2 Classification of nouns in terms of number…………….……8 1 .3. 2 Case………………………………………………………………… 1 .3. 2.1 Kinds and choice of genitives…………………………… 1 .3. 2 .3 Genitive meanings……………………………………….… 1 .3. 3 ... made by 63. 3% of the students for presenting unmarked plural nouns by translating all the words into Vietnamese The next 23 choice falls into the way of saying the words clearly one by one and...
... many people Therefore, more and more attention of both the general public and the government has been paid to English learning and teaching at schools, colleges and universities Learning ... English and their difficulties for the 1st year students at the Faculty of Tourism, Hanoi University of Culture’ It is the author’s hope that this study will be really useful for both teachers and ... Faculty of Tourism, HUC, this study adopts quantitative and qualitative methods Below is a description of the subjects, the instruments, and procedures for the study 4.1 The subjects There are two types...
... show Theorem 0 .3 Let x1 , x2 , x3 be the standard coordinates on R3 and Π : R3 → R2 orthogonal projection to {x3 = 0} For y ∈ S ⊂ Σ ⊂ R3 and s > 0, the extrinsic and intrinsic balls and tubes are ... and (after a rotation) graphs Γi ⊂ Γi over D3 c3 r0 (y) so that y1 , y2 , 3 are each in their own component of Π−1 (D3 c3 r0 (y)) \ (Γ1 ∪ Γ2 ) ¯ and Γ1 , Γ2 ⊂ {|x3 − x3 (y)| ≤ β c3 r0 } Proof ... monotone If 3 is a component of Br0 −80 h (y) ∩ 3for which y1 , y2 are in distinct components of B5 h (y) \ 3 , then 3 is a graph GRAPHICAL OFF THE AXIS 39 Proof We will suppose that 3 is not...
... activation and activity of the transglutaminase enzyme J Biol Chem 278, 238 34– 238 41 30 Hitomi K, Presland RB, Nakayama T, Fleckman P, Dale BA & Maki M (20 03) Analysis of epidermaltype transglutaminase ... properties of the small proline-rich family of FEBS Journal 277 (2010) 35 64 35 74 ª 2010 The Authors Journal compilation ª 2010 FEBS 35 73 Preferred substrate peptide for TGase 37 38 39 40 41 A ... Structural and transglutaminase substrate properties of the small proline-rich family of cornified cell envelope proteins J Biol Chem 2 73, 232 97– 233 03 36 Candi E, Tarcsa E, Idler WW, Kartasova T, Marekov...
... detection of preliminary drawings or hidden layers on paintings, as well as the extraction of information about the typeof material used (e.g., quality of the support, types of colors and ink, ... transcription and image content,” C Calistru et al propose an indexing and retrieval environment for the integrated management of the vast and heterogeneous information often associated with collections of ... processing, and visualization of large data sets (3D models, highresolution images, etc.) are required In addition, techniques for the efficient indexing and intuitive retrieval and browsing of stored...
... understanding of Windows Definition commands and their syntax You Microsoft is notorious for finding ways to make money must also be comfortable working off its customers One way it does so is by ... allowing Microsoft and third-party software developers to add support for additional scripting engines For example, script execution engines have already been developed for Perl, Python, and Rexx Selecting ... Figure 1.1 The game begins by knocking on the door and waiting for the player to respond Figure 1.2 The first clue is provided Figure 1 .3 The joke’s punch line is delivered Figure 1.4 If the user...
... factor of ~3. 8× as indicated in Figure 2.17 by the dotted line at a typical frequency of 33 6MHz 450E+6 fast 425E+6 RBB Frequency [Hz] 400E+6 37 5E+6 unbalanced 36 6MHZ 35 0E+6 32 5E+6 32 7MHZ typical 30 0E+6 ... unbalanced 37 5E+6 fnsp 33 7MHz, 144nA typical 35 0E+6 33 6MHz, 71nA 32 5E+6 typical 30 0E+6 snfp 33 5MHz, 88nA slow 275E+6 270MHz, 17nA slow 250E+6 000E+0 50E-9 100E-9 150E-9 200E-9 250E-9 30 0E-9 35 0E-9 ... of the combined use of AVS and ABB Let us now explore possible power-performance tradeoffs by using AVS and ABB Figure 2.8a shows a zoom-in ofFigure 2.7 at VDD =1.2V If AVS and ABB are applied...
... uncertainties for out of the 33 chips tested, when operating at 120MHz The chips are labeled as chip and chip 2, respectively The first failure voltage for chips and are 1.74V and 1.63V, respectively, and ... 8.5.1 Measurement Results Figure 8. 13 shows the error rates and normalized energy savings versus supply voltage at 120 and 140MHz for one of the 33 chips tested, henceforth referred to as chip1 ... 1.2-1.8V Total Number of Transistors 1.58million Die Size 3. 3mm *3. 6 mm Measured Chip Power at 1.8V 130 mW Icache Size 8KB Dcache Size 8KB Total Number of Flip-Flops 238 8 Total Number of Razor Flip-Flops...
... 3x2 is positive for x < and positive for < x Since y is not identically zero and the sign of y does not change, x = is not a relative extrema See Figure3. 7 Figure3. 7: Graphs of x2 , cos x and ... sin x is positive for −π < x < and negative for < x < π Since the sign of y goes from positive to negative, x = is a relative maxima See Figure3. 7 Example 3. 5 .3 Consider y = x3 and the point x ... that for any value of ξ, | cos ξ| ≤ Therefore the absolute value of the error term satisfies, |R| = x20 |x|20 cos ξ ≤ 20! 20! x20 /20! is plotted in Figure3. 13 0.8 0.6 0.4 0.2 10 Figure3. 13: ...