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HYPERCYCLICITY FOR TRANSLATIONS THROUGH RUNGE'S THEOREM
Hallack Andre Arbex Korean Mathematical Society 2007 대한수학회보 Vol.44 No.1
In this paper, we first adapt Runge's Theorem to work on certain domains in any complex Banach space. Then, using this result, we extend Birkhoff's Theorem on the hypercyclicity of translations on $H(\mathbb{C})$ and Costakis' and Sambarino's result on the existence of common hypercyclic functions for uncountable families of translations on $H(\mathbb{C})$ to subs paces of $H_b(E)$ (in some cases all of $H_{b}$(E)), E being in a large class of Banach spaces.
Juliana Carvalho Segato Marincolo,Ivan Aprahamian,Ligiana Pires Corona,Anita Liberalesso Neri,Mônica Sanches Yassuda,Flávia Silva Arbex Borim 대한골다공증학회 2021 Osteoporosis and Sarcopenia Vol.7 No.2
Objectives: To assess the prevalence of probable sarcopenia according to 3 different definitions (“strength, assistance with walking, rise from a chair, climb stairs, falls”- SARC-F score, low grip strength, and the guidelines indicated by the European Working Group on Sarcopenia in Older People 2 - EWGSOP2) and assess the association of probable sarcopenia with functional disability and falls among community-dwelling older adults. Methods: Cross-sectional study with 419 older adults. Probable sarcopenia was assessed by 3 definitions: a SARC-F ≥ 4, low grip strength (< 27 kg for men and < 16 kg for women), and the EWGSOP2 criteria. Associations were investigated using Pearson's chi-square test and prevalence ratios were estimated by Poisson regression (P < 0.05). Results: Of the total, probable sarcopenia was identified in 23.0% of participants (SARC-F ≥ 4 score), 33.7% (low grip strength), and 10.4% (EWGSOP2) according to each different definition. In adjusted regression models, having at least 1 instrumental activities of daily living (IADL) disability and having fallen in the last 12 months were significantly associated with a SARC-F ≥ 4 (prevalence ratio, PR = 1.60; and PR = 2.50, respectively) and EWGSOP2 (PR = 1.78; and PR = 2.19, respectively). Conclusions: IADL disability and falls were associated with a SARC-F ≥ 4 and the EWGSOP2 criteria (SARC-F ≥ 4 and low grip strength). Probable sarcopenia may be used in clinical practice in order to facilitate the diagnosis of definite sarcopenia and to implement early interventions that could prevent functional decline and falls in older people.
Canaza-Cayo, Ali William,Lopes, Paulo Savio,da Silva, Marcos Vinicius Gualberto Barbosa,de Almeida Torres, Robledo,Martins, Marta Fonseca,Arbex, Wagner Antonio,Cobuci, Jaime Araujo Asian Australasian Association of Animal Productio 2015 Animal Bioscience Vol.28 No.10
A total of 32,817 test-day milk yield (TDMY) records of the first lactation of 4,056 Girolando cows daughters of 276 sires, collected from 118 herds between 2000 and 2011 were utilized to estimate the genetic parameters for TDMY via random regression models (RRM) using Legendre's polynomial functions whose orders varied from 3 to 5. In addition, nine measures of persistency in milk yield ($PS_i$) and the genetic trend of 305-day milk yield (305MY) were evaluated. The fit quality criteria used indicated RRM employing the Legendre's polynomial of orders 3 and 5 for fitting the genetic additive and permanent environment effects, respectively, as the best model. The heritability and genetic correlation for TDMY throughout the lactation, obtained with the best model, varied from 0.18 to 0.23 and from -0.03 to 1.00, respectively. The heritability and genetic correlation for persistency and 305MY varied from 0.10 to 0.33 and from -0.98 to 1.00, respectively. The use of $PS_7$ would be the most suitable option for the evaluation of Girolando cattle. The estimated breeding values for 305MY of sires and cows showed significant and positive genetic trends. Thus, the use of selection indices would be indicated in the genetic evaluation of Girolando cattle for both traits.
Ali William Canaza-Cayo,Paulo Savio Lopes,Marcos Vinicius Gualberto Barbosa da Silva,Robledo de Almeida Torres,Marta Fonseca Martins,Wagner Antonio Arbex,Jaime Araujo Cobuci 아세아·태평양축산학회 2015 Animal Bioscience Vol.28 No.10
A total of 32,817 test-day milk yield (TDMY) records of the first lactation of 4,056 Girolando cows daughters of 276 sires, collected from 118 herds between 2000 and 2011 were utilized to estimate the genetic parameters for TDMY via random regression models (RRM) using Legendre's polynomial functions whose orders varied from 3 to 5. In addition, nine measures of persistency in milk yield (PSi) and the genetic trend of 305-day milk yield (305MY) were evaluated. The fit quality criteria used indicated RRM employing the Legendre's polynomial of orders 3 and 5 for fitting the genetic additive and permanent environment effects, respectively, as the best model. The heritability and genetic correlation for TDMY throughout the lactation, obtained with the best model, varied from 0.18 to 0.23 and from –0.03 to 1.00, respectively. The heritability and genetic correlation for persistency and 305MY varied from 0.10 to 0.33 and from –0.98 to 1.00, respectively. The use of PS7 would be the most suitable option for the evaluation of Girolando cattle. The estimated breeding values for 305MY of sires and cows showed significant and positive genetic trends. Thus, the use of selection indices would be indicated in the genetic evaluation of Girolando cattle for both traits.