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Journal articles on the topic 'Sup × inf en dimension n ≥ 3'

Author: Grafiati

Published: 4 June 2021

Last updated: 17 February 2022

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1

Skander Bahoura, Samy. "Lower bounds for sup+inf and sup*inf and an extension of chen-lin result in dimension 3." Acta Mathematica Scientia 28, no. 4 (2008): 749–58. http://dx.doi.org/10.1016/s0252-9602(08)60075-2.

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2

Shuang-Shuang, ZHANG, TIAN Wen-Yu, ZHANG Jian-Xin, SONG Kai-Xin, and QIN Hui-Bin. "Luminescence Properties of Si$lt;inf$gt;3$lt;/inf$gt;N$lt;inf$gt;4$lt;/inf$gt; Doped Nitride Sr$lt;inf$gt;3$lt;/inf$gt;SiO$lt;inf$gt;5$lt;/inf$gt;: Eu$lt;sup$gt;2+$lt;/sup$gt; Phosphor." Journal of Inorganic Materials 32, no. 3 (2017): 252. http://dx.doi.org/10.15541/jim20160327.

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3

PRASAD, K. C., HRISHIKESH MAHATO, and SUDHIR MISHRA. "A NEW POINT IN LAGRANGE SPECTRUM." International Journal of Number Theory 09, no. 02 (2012): 393–403. http://dx.doi.org/10.1142/s1793042112501382.

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Let I denote the set of all irrational numbers, θ ∈ I, and simple continued fraction expansion of θ be [a0, a1, …, an, …]. Then a0 is an integer and {an}n≥1 is an infinite sequence of positive integers. Let Mn(θ) = [0, an, an-1, …, a1] + [an+1, an+2, …]. Then the set of numbers { lim sup Mn(θ) ∣ θ ∈ I} is called the Lagrange Spectrum 𝔏. Notably 3 is the first cluster point of 𝔏. Essentially lim inf 𝔏 or [Formula: see text]. Perron [Über die approximation irrationaler Zahlen durch rationale, I, S.-B. Heidelberg Akad. Wiss., Abh. 4 (1921) 17 pp; Über die approximation irrationaler Zahlen durch r

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4

Bin, HAN, WANG Yi-Fei, LIU Qian, and HUANG Qing. "Microwave Assisted Sintering and Photoluminescence Properties of Ba$lt;inf$gt;3$lt;/inf$gt;Si$lt;inf$gt;6$lt;/inf$gt;O$lt;inf$gt;12$lt;/inf$gt;N$lt;inf$gt;2$lt;/inf$gt;:Eu$lt;sup$gt;2+$lt;/sup$gt; Green Phosphors." Journal of Inorganic Materials 30, no. 3 (2015): 330. http://dx.doi.org/10.15541/jim20140495.

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5

Bin, HAN, WANG Yi-Fei, LIU Qian, and HUANG Qing. "Role of Fluxes in the Synthesis and Luminescence Properties of Ba$lt;inf$gt;3$lt;/inf$gt;Si$lt;inf$gt;6$lt;/inf$gt;O$lt;inf$gt;12$lt;/inf$gt;N$lt;inf$gt;2$lt;/inf$gt;:Eu$lt;sup$gt;2+$lt;/sup$gt; Oxynitride Phosphors by Microwave Sintering." Journal of Inorganic Materials 31, no. 6 (2016): 652. http://dx.doi.org/10.15541/jim20150597.

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6

Pelczynski, A., та S. J. Szarek. "On parallelepipeds of minimal volume containing a convex symmetric body in ℝn". Mathematical Proceedings of the Cambridge Philosophical Society 109, № 1 (1991): 125–48. http://dx.doi.org/10.1017/s0305004100069619.

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AbstractGiven a convex symmetric body C ⊂ ℝn we put a(C) = |C| sup |P|−1 where the supremum extends over all parallelepipeds containing C and |A| denotes the volume of a set A ⊂ ℝn. Let an = inf {a(C): C ⊂ ℝn}. We show thatwhich slightly improves the estimate due to Dvoretzky and Rogers [6]. In every dimension n we construct a convex symmetric polytope Wn such that the unit Euclidean ball is the ellipsoid of maximal volume inscribed into Wn and the volume of every parallelepiped containing Wn is greater thanfor large n which shows ‘the limit’ to the Dvoretzky Rogers method for bounding an belo

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7

Su, Rui, Zhi Feng Huang, Fei Chen, Qiang Shen та Lian Meng Zhang. "Simplified Synthesis and Luminous Mechanism of Eu²⁺-Doped α-Si₃N₄ Nanowires with Strong Green Luminescent Properties". Key Engineering Materials 727 (січень 2017): 635–41. http://dx.doi.org/10.4028/www.scientific.net/kem.727.635.

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Ultra-long, single crystal, Eu-doped α-Si3N4 nanowires were prepared by a simple approach involving nitriding Eu-doped cryomilled nanocrystalline Si powder in NH3 flow at 1350 °C for 4 h. Phases, chemical composition and microcosmic feature of cryomilled powders and as-prepared nanowires were tested by X-ray diffraction (XRD), field emission scanning electron microscopy (FESEM), transmission electron microscopy (TEM), respectively. The results suggested that Eu was successfully introduced into Si lattice after the cryomilling process and then entered into the lattice of α-Si3N4 during the nitr

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8

Ozguler, Y., G. Hatemi, A. S. Pala, et al. "POS1351 CAUSES OF HOSPITALIZATION IN BEHÇET SYNDROME." Annals of the Rheumatic Diseases 80, Suppl 1 (2021): 958.1–958. http://dx.doi.org/10.1136/annrheumdis-2021-eular.1987.

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Background:The causes of hospitalization may provide important information on the course of diseases and treatment-related adverse effects.Objectives:We aimed to determine the causes and outcome of hospitalizations among patients with Behçet Syndrome (BS) in a dedicated center.Methods:We surveyed hospitalization records in our clinic between January 2002 and December 2019 and identified those with a diagnosis of BS. The records of these patients were reviewed for demographic and clinical features, causes of hospitalization and outcome. We divided hospitalization causes into 2 as being BS relat

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9

Well, Reinhard, Martin Maier, Dominika Lewicka-Szczebak, Jan-Reent Köster, and Nicolas Ruoss. "Underestimation of denitrification rates from field application of the <sup>15</sup>N gas flux method and its correction by gas diffusion modelling." Biogeosciences 16, no. 10 (2019): 2233–46. http://dx.doi.org/10.5194/bg-16-2233-2019.

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Abstract. Common methods for measuring soil denitrification in situ include monitoring the accumulation of 15N-labelled N2 and N2O evolved from 15N-labelled soil nitrate pool in closed chambers that are placed on the soil surface. Gas diffusion is considered to be the main transport process in the soil. Because accumulation of gases within the chamber decreases concentration gradients between soil and the chamber over time, the surface efflux of gases decreases as well, and gas production rates are underestimated if calculated from chamber concentrations without consideration of this mechanism

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10

Dilão, Rui, and Joaquim Sainhas. "Validation and Calibration of Models for Reaction–Diffusion Systems." International Journal of Bifurcation and Chaos 08, no. 06 (1998): 1163–82. http://dx.doi.org/10.1142/s0218127498000929.

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Space and time scales are not independent in diffusion. In fact, numerical simulations show that different patterns are obtained when space and time steps (Δx and Δt) are varied independently. On the other hand, anisotropy effects due to the symmetries of the discretization lattice prevent the quantitative calibration of models. We introduce a new class of explicit difference methods for numerical integration of diffusion and reaction–diffusion equations, where the dependence on space and time scales occurs naturally. Numerical solutions approach the exact solution of the continuous diffusion

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11

Attianese, Greta Maria Paola Giordano, Valentina Hoyos, Virna Marin, et al. "A New Chimeric Antigen Receptor (CAR) Targeting the CD23 Antigen Expressed by Chronic Lymphocytic Leukemia (B-CLL) Cells." Blood 116, no. 21 (2010): 2446. http://dx.doi.org/10.1182/blood.v116.21.2446.2446.

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Abstract Abstract 2446 B-Chronic lymphocytic leukemia (B-CLL) is characterized by a progressive accumulation of B-lymphocytes expressing CD19, CD20dim and aberrantly expressing the CD5 T-cell marker. Moreover, they over-express the B-cell activation marker CD23. Chimeric Antigen Receptors (CAR) are engineered molecules able to redirect T-cell killing/effector activity towards a selected target in a non MHC-restricted manner. First trials targeting B-CLL were based on both monoclonal antibodies and anti-CD19/anti-CD20.CAR-transduced T cells. However, this approach causes the elimination of norm

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12

Czerw, Tomasz, Myriam Labopin, Norbert C. Gorin, et al. "Long-Term Follow-up of Autologous Hematopoietic Stem Cell Transplantation (AHSCT) for Acute Myeloid Leukemia (AML): A Survey of 3567 Patients From the Acute Leukemia Working Party of the EBMT." Blood 120, no. 21 (2012): 3112. http://dx.doi.org/10.1182/blood.v120.21.3112.3112.

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Abstract Abstract 3112 AHSCT is an option to consolidate remission in a subgroup of patients with AML. Although a significant decrease of number of such procedures has been reported after year 2000, this treatment modality continues to be used by some centers. The major disadvantage of AHSCT is leukemia relapse which occurs mainly during the first 2 years. Recently, a survey of long-term disease-free survivors after AHSCT was published by North American institutions showing mortality rates similar to that of the general population [Majhail NS et al., BMT 2011]. The goal of the current study wa

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13

Molle, Riccardo, and Donato Passaseo. "Infinitely many positive solutions of nonlinear Schrödinger equations." Calculus of Variations and Partial Differential Equations 60, no. 2 (2021). http://dx.doi.org/10.1007/s00526-020-01905-3.

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AbstractThe paper deals with the equation $$-\Delta u+a(x) u =|u|^{p-1}u $$ - Δ u + a ( x ) u = | u | p - 1 u , $$u \in H^1({\mathbb {R}}^N)$$ u ∈ H 1 ( R N ) , with $$N\ge 2$$ N ≥ 2 , $$p> 1,\ p< {N+2\over N-2}$$ p > 1 , p < N + 2 N - 2 if $$N\ge 3$$ N ≥ 3 , $$a\in L^{N/2}_{loc}({\mathbb {R}}^N)$$ a ∈ L loc N / 2 ( R N ) , $$\inf a> 0$$ inf a > 0 , $$\lim _{|x| \rightarrow \infty } a(x)= a_\infty $$ lim | x | → ∞ a ( x ) = a ∞ . Assuming that the potential a(x) satisfies $$\lim _{|x| \rightarrow \infty }[a(x)-a_\infty ] e^{\eta |x|}= \infty \ \ \forall \eta > 0$$ lim | x

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14

Brandes, J., S. T. Parsell, C. Poulias, G. Shakan, and R. C. Vaughan. "On generating functions in additive number theory, II: lower-order terms and applications to PDEs." Mathematische Annalen, December 23, 2020. http://dx.doi.org/10.1007/s00208-020-02107-0.

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AbstractWe obtain asymptotics for sums of the form $$\begin{aligned} \sum _{n=1}^P e\left( {\alpha }_k\,n^k\,+\,{\alpha }_1 n\right) , \end{aligned}$$ ∑ n = 1 P e α k n k + α 1 n , involving lower order main terms. As an application, we show that for almost all $${\alpha }_2 \in [0,1)$$ α 2 ∈ [ 0 , 1 ) one has $$\begin{aligned} \sup _{{\alpha }_{1} \in [0,1)} \Big | \sum _{1 \le n \le P} e\left( {\alpha }_{1}\left( n^{3}+n\right) + {\alpha }_{2} n^{3}\right) \Big | \ll P^{3/4 + \varepsilon }, \end{aligned}$$ sup α 1 ∈ [ 0 , 1 ) | ∑ 1 ≤ n ≤ P e α 1 n 3 + n + α 2 n 3 | ≪ P 3 / 4 + ε , and that i

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15

Das, Debraj, and Soumendra Lahiri. "Central Limit Theorem in high dimensions: The optimal bound on dimension growth rate." Transactions of the American Mathematical Society, July 19, 2021. http://dx.doi.org/10.1090/tran/8459.

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In this article, we try to give an answer to the simple question: “What is the optimal growth rate of the dimension p p as a function of the sample size n n for which the Central Limit Theorem (CLT) holds uniformly over the collection of p p -dimensional hyper-rectangles ?”. Specifically, we are interested in the normal approximation of suitably scaled versions of the sum ∑ i = 1 n X i \sum _{i=1}^{n}X_i in R p \mathcal {R}^p uniformly over the class of hyper-rectangles A r e = { ∏ j = 1 p [ a j , b j ] ∩ R : − ∞ ≤ a j ≤ b j ≤ ∞ , j = 1 , … , p } \mathcal {A}^{re}=\{\prod _{j=1}^{p}[a_j,b_j]\c

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16

Milian, I. I., M. V. Melnyk, S. M. Marchyshyn та S. Yu Cholach. "ФЕНОЛОГІЧНІ СПОСТЕРЕЖЕННЯ ЗА РОЗВИТКОМ ВЕРОНІКИ ЛІКАРСЬКОЇ". Фармацевтичний часопис, № 4 (19 січня 2016). http://dx.doi.org/10.11603/2312-0967.2015.4.5548.

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<p align="center"><strong>THE PHENOLOGICAL OBSERVATIONS OF VERONICA OFFICINALIS DEVELOPMENT</strong></p><p align="center"><strong><sup>1</sup></strong><strong> </strong><strong>I.I</strong><strong>.</strong><strong> Milian, </strong><strong><sup>2</sup></strong><strong> </strong><strong>M</strong><strong>.V.</strong><strong> </strong><strong>Melnyk, </strong><strong><sup>1</sup></strong>

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17

Raval, Vishal, Shiming Luo, Emily C. Zabor, and Arun D. Singh. "Small Choroidal Melanoma: Correlation of Growth Rate with Pathology." Ocular Oncology and Pathology, July 30, 2021, 1–10. http://dx.doi.org/10.1159/000517203.

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<b><i>Purpose:</i></b> The aim of the study was to evaluate equivalence of growth rate and pathologic confirmation in small choroidal melanoma (SCM). <b><i>Design:</i></b> This study is a case series. <b><i>Subjects, Participants, and Controls:</i></b> A total of 61 patients with a choroidal melanocytic tumor of size 5.0–16.0 mm in the largest basal diameter and 1.0–2.5 mm in thickness were classified into the pathology-confirmed group (<i>n</i> = 19), growth-confirmed group (<i>n</i> = 30), and wit

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