There exist multilinear Bohnenblust-Hille constants (Cn)n=1(infinity) with limn ->infinity(Cn+1-Cn)=0

The n-linear Bohnenblust-Hille inequality asserts that there is a constant C-n is an element of [1, infinity) such that the l(2n/n+1)-norm of (U(e(i1), ..., e(in)))(i1, ...,in=1)(N) is bounded above by C-n times the supremum norm of U, for any n-linear form U :C-N x ... x C-N -> C and N is an element of N (the same holds for real scalars). We prove what we call Fundamental Lemma, which brings new information on the optimal constants, (K-n)(n=1)(infinity) for both real and complex scalars. For instance, Kn+1 - K-n = 2. We study the interplay between the Kahane-Salem-Zygmund and the Bohnenblust-Hille (polynomial and multilinear) inequalities and provide estimates for Bohnenblust-Hille-type inequality constants for any exponent q is an element of [2n/n+1, infinity). (C) 2012 Elsevier Inc. All rights reserved

The LBT satellites of Nearby Galaxies Survey (LBT-SONG): The satellite population of NGC 628

We present the first satellite system of the Large Binocular Telescope Satellites Of Nearby Galaxies Survey (LBT-SONG), a survey to characterize the close satellite populations of LargeMagellanic Cloud to Milky-Way-mass, star-forming galaxies in the Local Volume. In this paper, we describe our unresolved diffuse satellite finding and completeness measurement methodology and apply this framework to NGC 628, an isolated galaxy with∼1/4 the stellarmass of the MilkyWay.We present two new dwarf satellite galaxy candidates: NGC 628 dwA, and dwB with MV = -12.2 and -7.7, respectively. NGC 628 dwA is a classical dwarf while NGC 628 dwB is a low-luminosity galaxy that appears to have been quenched after reionization. Completeness corrections indicate that the presence of these two satellites is consistent with CDM predictions. The satellite colours indicate that the galaxies are neither actively star forming nor do they have the purely ancient stellar populations characteristic of ultrafaint dwarfs. Instead, and consistent with our previous work on the NGC 4214 system, they show signs of recent quenching, further indicating that environmental quenching can play a role in modifying satellite populations even for hosts smaller than the Milky Way. © 2021 Oxford University Press. All rights reserved.Immediate accessThis item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at [email protected]

Exigência Protéica e Relação Energia/Proteína para Alevinos de Piracanjuba (Brycon orbignyanus) Dietary Protein Requirement and Energy to Protein Ratio for Piracanjuba (Brycon orbignyanus) Fingerlings

O objetivo do presente estudo foi determinar a exigência protéica e correspondente relação energia/proteína em dietas para alevinos de piracanjuba, Brycon orbignyanus. Seis dietas semi-purificadas isocalóricas foram formuladas para conter 3.000 kcal de energia metabolizável (EM)/kg e concentrações de proteína bruta (PB) de 24, 26, 29, 32, 36 e 42%. Para essas concentrações, as relações E/P das dietas foram de 12,3; 11,6; 10,4; 9,2; 8,5 e 7,1 kcal EM/g PB, respectivamente. As fontes de proteína, lipídios e carboidratos digestíveis foram, respectivamente, caseína/gelatina, óleo de fígado de bacalhau/óleo de soja e dextrina. Após condicionamento de cinco dias, as dietas foram fornecidas, até a saciedade, em duas alimentações diárias, a 162 alevinos (27 peixes/dieta), que apresentaram 8,38 ± 0,09 g de peso médio inicial, distribuídos em 18 tanques de fibra-de-vidro de 100 L, conectados a um sistema de recirculação de água. A temperatura média da água foi de 26,3°C, com extremos de 23,7 e 30,2°C. Após 90 dias, a concentração de proteína na dieta que proporcionou ganho em peso máximo aos peixes foi 29% PB, com relação E/P igual a 10,4 kcal EM/g PB. As dietas com concentrações de PB iguais a 32, 36 e 42% não se mostraram superiores para conversão alimentar, taxa de eficiência protéica, valor produtivo da proteína e retenção de energia bruta. A deposição corporal de proteína e gordura não sofreu influência da concentração de PB da dieta<br>The aim of this study was to determine the dietary protein requirement and associated energy to protein (E/P) ratio for "Piracanjuba", Brycon orbignyanus, fingerlings. Casein-gelatin semipurified diets were formulated to contain six crude protein (CP) concentrations: 24, 26, 29, 32, 36 e 42% at one energy level, 3,000 kcal metabolizable energy (ME)/kg. These diets resulted in E/P ratios of 12.3, 11.6, 10.4, 9.2, 8.5 and 7.1 kcal ME/g CP, respectively. The protein, lipid and digestible carbohydrate sources were casein/gelatin, cod liver oil/soybean oil and dextrin, respectively. After an initial 5-day conditioning period, each experimental diet was fed to satiation, twice a day, to 8.38 ± 0.09 g piracanjuba fingerlings (n = 27), housed in eighteen 100-L fiberglass tanks connected to a water recirculating system, and kept at 26.3°C average water temperature (range: 23.7 to 30.2°C). After 90 days, the lowest dietary CP level that produced maximum fish weight gain was 29% CP with associated E/P ratio of 10.4 kcal ME/g CP. Higher dietary CP levels, i.e., 32, 36 and 42% did not improve 29% CP feed conversion, protein efficiency ratio, apparent net protein utilization and gross energy retained. Whole-body fish composition (total lipid and protein concentration) was not affected by the dietary CP leve