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1.
We consider the method of Poincaré to investigate thelocal index of vector fields in the plane. If m is the degreeof the first non-zero jet, Xm, of the vector field X at an isolatedzero, we explore the geometry of the pencil generated by thecoordinate functions of Xm when the absolute value of the indexof X, |ind (X)|, is m. We also find necessary and sufficientconditions for |ind (X)| to be m. 相似文献
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Ana Ruas Angelica Graa Joana Marto Lídia Gonalves Ana Oliveira Alexandra Nogueira da Silva Madalena Pimentel Artur Mendes Moura Ana Teresa Serra Ana Cristina Figueiredo Helena M. Ribeiro 《Molecules (Basel, Switzerland)》2022,27(11)
Essential oils (EOs) and hydrolates (Hds) are natural sources of biologically active ingredients with broad applications in the cosmetic industry. In this study, nationally produced (mainland Portugal and Azores archipelago) EOs (11) and Hds (7) obtained from forest logging and thinning of Eucalyptus globulus, Pinus pinaster, Pinus pinea and Cryptomeria japonica, were chemically evaluated, and their bioactivity and sensorial properties were assessed. EOs and Hd volatiles (HdVs) were analyzed by GC-FID and GC-MS. 1,8-Cineole was dominant in E. globulus EOs and HdVs, and α- and β-pinene in P. pinaster EOs. Limonene and α-pinene led in P. pinea and C. japonica EOs, respectively. P. pinaster and C. japonica HVs were dominated by α-terpineol and terpinen-4-ol, respectively. The antioxidant activity was determined by DPPH, ORAC and ROS. C. japonica EO showed the highest antioxidant activity, whereas one of the E. globulus EOs showed the lowest. Antimicrobial activity results revealed different levels of efficacy for Eucalyptus and Pinus EOs while C. japonica EO showed no antimicrobial activity against the selected strains. The perception and applicability of emulsions with 0.5% of EOs were evaluated through an in vivo sensory study. C. japonica emulsion, which has a fresh and earthy odour, was chosen as the most pleasant fragrance (60%), followed by P. pinea emulsion (53%). In summary, some of the studied EOs and Hds showed antioxidant and antimicrobial activities and they are possible candidates to address the consumers demand for more sustainable and responsibly sourced ingredients. 相似文献
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Maiara Oliveira Salles Ana Paula Ruas de Souza Juliana Naozuka Pedro Vitoriano de Oliveira Mauro Bertotti 《Electroanalysis》2009,21(12):1439-1442
Electrodeposition of bismuth on gold microelectrodes for determination of Pb(II) by square wave anodic stripping voltammetry (SWASV) was accomplished by an in situ procedure in alkaline solution. A linear calibration plot for Pb(II) in the concentration range 40 to 6700 nmol L?1 (r=0.998) was obtained, the detection limit was found to be 12.5 nmol L?1 (S/N=3) and the relative standard deviation in solutions containing 1 μmol L?1 Pb(II) was 4% (n=12). The analytical performance of the proposed sensor was tested by measuring the Pb(II) concentration in a wine sample. The result was in good agreement with the one obtained by GFAAS. 相似文献
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We generalise the operations of augmentation and concatenations defined in Cooper et al. (Compos Math 131(2):121–160, 2002) in order to obtain multigerms of analytic (or smooth) maps \((\mathbb {K}^n,S)\rightarrow (\mathbb {K}^p,0)\) with \(\mathbb {K}=\mathbb {C}\) or \(\mathbb {R}\) from monogerms and some special multigerms. We then prove that any corank 1 codimension 2 multigerm in Mather’s nice dimensions \((n,p)\) with \(n\ge p-1\) can be constructed using augmentations and these operations. 相似文献
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Quemet Alexandre Ruas Alexandre Esbelin Eric Dalier Vincent Rivier Cédric 《Journal of Radioanalytical and Nuclear Chemistry》2019,319(3):997-1012
Journal of Radioanalytical and Nuclear Chemistry - We aim to recycle and utilization of eggshell as a biomass waste of human foodstuff. Pure hydroxyapatite nano-particles were prepared using waste... 相似文献
7.
We use an inequality due to Bochnak and Lojasiewicz, which follows from the Curve Selection Lemma of real algebraic geometry
in order to prove that, given a C
r
function , we have
where . This shows that the so-called Morse decomposition of the critical set, used in the classical proof of the Morse–Sard theorem, is not necessary: the conclusion of the Morse
decomposition lemma holds for the whole critical set. We use this result to give a simple proof of the classical Morse–Sard
theorem (with sharp differentiability assumptions). 相似文献
8.
Let
be a smooth map of a closed n-dimensional manifold (n2) into the plane and let
be an orthogonal projection. We say that f has the standard lifting property, if every embedding
with
is standard in a certain sense. In this paper we give some sufficient conditions for a generic smooth map f to have the standard lifting property when M is a closed surface or an n-dimensional homotopy sphere. 相似文献
9.
In this work we study the time-dependent incompressible Navier-Stokes problem. We introduce a suitable technique based on the splitting of the vorticity into two components. Then we discretize in space the resulting uncoupled system by means of continuous Lagrange finite elements. This is achieved by first performing the semi-discretization in time of these equations by a classical characteristics method for the advective term. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
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