10,379 research outputs found
On unitary convex decompositions of vectors in a -algebra
No full textsummary:By exploiting his recent results, the author further investigates the extent to which variation in the coefficients of a unitary convex decomposition of a vector in a unital -algebra permits the vector decomposable as convex combination of fewer unitaries; certain -algebra results due to M. Rørdam have been extended to the general setting of -algebras
Operator means in JB-algebras
No full textIn this paper, the notion of operator means in the setting of JB-algebras is
introduced and their properties are studied. Many identities and inequalities
are established, most of them have origins from operators on Hilbert space but
they have different forms and connotations, and their proofs require techniques
in JB-algebras.Comment: 1
Lie-Trotter means in JB-algebras
No full textWe initiate the study of Lie-Trotter means in JB-algebras, which is an
extension of Lie-Trotter formulas in JB-algebras. We show that two-variable
Lie-Trotter means include the weighted arithmetic mean, weighted harmonic mean,
weighted geometric mean, and weighted spectral geometric mean. Consequently,
several generalized Lie-Trotter formulas in JB-algebras are derived.
Additionally, we demonstrate that the Sagae-Tanabe mean and Hansen's induction
mean in JB-algebras are multivariable Lie-Trotter means. In the end, using
arithmetic-geometric-harmonic mean inequalities we provide a characterization
of multivariate Lie-Trotter means.Comment: 18 page
Promalactis tricuspidata Wang and Li 2004
No full textPromalactis tricuspidata Wang and Li, 2004 (Figures 1U, V, 2K, and 3G, H) Promalactis tricuspidata Wang and Li, 2004, Oriental. Insects, 38: 2. Diagnosis This species externally similar to P. reniformis sp. nov. in the wing pattern, but it is differentiated by the trapezoidal antrum and the short ductus bursae in female genitalia. Material examined Three males, Cuc Phuong Nat. Park, Vietnam, 200 m, 1–2 July 2008, JB Heppner, slide gen. no. 9051, 9040, 9278/ S Kim; one male, same locality, 155 m, 4–7 May 2009, JB Heppner, slide gen. no. SNU-9333/ S Kim. Distribution Oriental: Vietnam (North), China (Southwest; Wang 2006).Published as part of Kim, Sora, Park, Kyu-Tek, Heppner, John B. & Lee, Seunghwan, 2014, Genus Promalactis Meyrick (Lepidoptera: Oecophoridae) in northern Vietnam, Part III: seven new species and four newly recorded species, pp. 1327-1346 in Journal of Natural History 48 (21) on pages 1344-1345, DOI: 10.1080/00222933.2013.862576, http://zenodo.org/record/400696
Confirming two conjectures of Su and Wang on binomial coefficients
No full textAbstractTwo conjectures of Su and Wang (2008) concerning binomial coefficients are proved. For n⩾k⩾0 and b>a>0, we show that the finite sequence Cj=(n+jak+jb) is a Pólya frequency sequence. For n⩾k⩾0 and a>b>0, we show that there exists an integer m⩾0 such that the infinite sequence (n+jak+jb), j=0,1,… , is log-concave for 0⩽j⩽m and log-convex for j⩾m. The proof of the first result exploits the connection between total positivity and planar networks, while that of the second uses a variation-diminishing property of the Laplace transform
Burden of comorbidities among Japanese patients with atrial fibrillation: a case study of dyspepsia [Corrigendum]
No full textKinoshita Y, DiBonaventura M, Rossi B, Iwamoto K, Wang ECY, Briere JB. Clin Exp Gastroenterol. 2013;6:51–59.On page 54, in the second paragraph, line 6, note that "26.65% versus 17.02%" should be "29.65% versus 17.02%".View original paper by Kinoshita Y, DiBonaventura M, Rossi B et al. 
Detonation reaction-zone structure of JB-9014
No full textThe structure of reaction-zone of JB-9014 explosive was investigated using photoelectric technique. For one dimensional steady detonation wave of JB-9014 (1.894 g/cm3), the Neumann spike pressure was 36.5 GPa, the width of reaction-zone was 1.75 mm, and the period of reaction was 0.31 μs. It is found that the width of reaction-zone and the period of reaction decrease with the explosive density
Recurrence of classical juvenile pityriasis rubra pilaris in adulthood: report of a case.
No full textSuzuki Type Estimates for Exponentiated Sums and Generalized Lie-Trotter Formulas in JB-Algebras
No full textLie-Trotter-Suzuki product formulas are ubiquitous in quantum mechanics,
computing, and simulations. Approximating exponentiated sums with Jordan
product formulas are investigated in the setting of JB-algebras. We show that
the Suzuki type approximation for exponentiated sums holds in JB-algebras, we
give explicit estimation formulas, and we deduce three generalizations of
Lie-Trotter formulas for arbitrary number elements in such algebras. We also
extended the Lie-Trotter formulas in a Jordan Banach algebra from three
elements to an arbitrary number of elements.Comment: 12 page
Dichomeris ferrogra Li & Wang 1997
No full text4. Dichomeris ferrogra Li & Wang, 1997 (Fig. 5) Dichomeris ferrogra Li & Wang, 1997, In: Li, Zheng & Wang: 225. TL: China (Yunnan). Material examined: VIETNAM: Bac Kan Province: 2♂, 4♀, Ba Be Nat. Park, 26–28 vii 2006, leg. Park, Chae & Cuong, gen. slide nos. nklep046(♀), CIS-6294(♂), CIS-6304(♀); 1♂, 1♀, same locality, 240 m, 21–26 vi 2008, leg. JB Heppner, gen. slide nos. CIS-6360(♂), CIS-6715(♀). Ninh Binh Province: 1♂, Cuc Phuong Nat. Park, 450 m, 14 vi 2004, KT Park & N Cuong, gen. slide nos. CIS-6717. Distribution. Vietnam (new record: Bac Kan, Ninh Binh), China (Yunnan), Thailand (Mae Hong Son).Published as part of Park, Kyu-Tek, Bae, Yang-Seop, Zhao, Shengnan & Li, Houhun, 2020, Thirteen new species of genera Dichomeris Hübner, 1818 and Helcystogramma Zeller, 1877 (Lepidoptera, Gelechiidae, Dichomeridinae) with twenty-one newly recorded species from Vietnam, pp. 435-461 in Zootaxa 4821 (3) on pages 451-452, DOI: 10.11646/zootaxa.4821.3.2, http://zenodo.org/record/440093
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