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10.1017/s0013091500000523
<jats:title>Abstract</jats:title><jats:p>The purpose of this paper is to derive an integral representation of the Drazin inverse of an element of a Banach algebra in a more general situation than previously obtained by the second author, and to give an application to the Moore–Penrose inverse in a $C^*$-algebra.</jats:p><jats:p>AMS 2000 <jats:italic>Mathematics subject classification:</jats:italic>Primary 46H05; 46L05</jats:p>
ON INTEGRAL REPRESENTATIONS OF THE DRAZIN INVERSE IN BANACH ALGEBRAS
[ "González N. Castro ", "Koliha J. J. ", "Wei Yimin " ]
https://doi.org/10.1017/s0013091500000523
2,002
July
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10.1017/s0013091501000189
<jats:title>Abstract</jats:title><jats:p>In this paper, we establish the existence of infinitely many solutions to a Neumann problem involving the <jats:italic>p</jats:italic>-Laplacian and with discontinuous nonlinearities. The technical approach is mainly based on a very recent result on critical points for possibly non-smooth functionals in a Banach space due to Marano and Motreanu, namely Theorem 1.1 in a paper that is to appear in the journal <jats:italic>J. Diff. Eqns</jats:italic> (see Theorem 2.3 in the body of this paper). Some applications are presented.</jats:p><jats:p>AMS 2000 <jats:italic>Mathematics subject classification:</jats:italic> Primary 35A15; 35J65; 35R05</jats:p>
INFINITELY MANY SOLUTIONS TO THE NEUMANN PROBLEM FOR ELLIPTIC EQUATIONS INVOLVING THE <i>p</i>-LAPLACIAN AND WITH DISCONTINUOUS NONLINEARITIES
[ "Candito Pasquale " ]
https://doi.org/10.1017/s0013091501000189
2,002
July
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10.1017/s0014479702003071
<jats:p>The effects of ten rootstocks on tree development, leaf nutrient levels, fruit internal quality and yield were studied. Plantings of the mandarin cultivar ‘clementine’ were established at the Agricultural Research Station of Rhodes on the rootstocks Cleopatra mandarin, Troyer and Carrizo citranges, rough lemon, Palestine sweet lime, Volkameriana, <jats:italic>Citrus macrophylla</jats:italic>, Rangpur lime and <jats:italic>C. moi</jats:italic> with sour orange as a standard for comparison. Data indicated that rootstocks significantly influenced tree development and fruit quality characteristics as well as foliar nutrient concentrations. The largest trees were on Volkameriana and the smallest on the two citranges. In terms of trunk cross-sectional area, the most vigorous trees were on <jats:italic>C. moi</jats:italic> and the least on Palestine sweet lime and the two citranges. Cleopatra mandarin, the two citranges, and Palestine sweet lime showed a tendency to biennial bearing. The highest cumulative yield of clementine trees was on <jats:italic>C. macrophylla</jats:italic> and Volkameriana and the lowest on Troyer and Carrizo citrange. <jats:italic>C. macrophylla</jats:italic> and Volkameriana produced the most efficient trees with the largest and heaviest thin-skinned almost seedless fruit. Fruit on <jats:italic>C. macrophylla</jats:italic> produced the highest juice content but also the lowest concentration of total soluble solids. Differences were observed in leaf nutrient contents between the rootstocks. These trials showed that <jats:italic>C. macrophylla</jats:italic> and Volkameriana could be used successfully as alternatives rootstocks to sour orange.</jats:p>
ROOTSTOCK EFFECTS ON THE YIELDS, TREE AND FRUIT CHARACTERISTICS OF THE MANDARIN CULTIVAR ‘CLEMENTINE’ ON THE ISLAND OF RHODES
[ "Tsakelidou K. ", "Papanikolaou X. ", "Protopapadakis E. " ]
https://doi.org/10.1017/s0014479702003071
2,002
July
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10.1017/s0018246x02002418
<jats:p>This article analyses two dissenting periodicals, the <jats:italic>Occasional Paper</jats:italic> and the <jats:italic>Old Whig</jats:italic>. It argues that these periodicals provide an opportunity to reconsider the current priorities in the historiography of eighteenth-century political thought and religious history. Having considered the contexts from which the periodicals emerged and the importance of a perceived growth in catholic proselytizing in the 1730s, it analyses the importance of ‘popery’ in religious and political discourse. Taken together, popery and private judgement provided the parameters to descibe what was termed ‘consistent protestantism’ and this was used to defend a particular version of dissent. The protestant aspect to oppositional whiggery has been largely ignored, particularly by those keen to assert the centrality of ‘classical republicanism’ to opposition language in the early Hanoverian period. This article suggests an alternative account of the transmission of the commonwealth tradition and indicates further lines of inquiry into the evolution of whig ideas.</jats:p>
POPERY, POLITICS, AND PRIVATE JUDGEMENT IN EARLY HANOVERIAN BRITAIN
[ "THOMPSON ANDREW C. " ]
https://doi.org/10.1017/s0018246x02002418
2,002
July
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10.1017/s0022029901005325
<jats:p>Use of electromyography (EMG) to monitor mastication is a relatively new concept in assessing food physical and sensory properties. Although expert assessment of cheese characteristics is widely used, the effect of training in sensory analysis on mastication patterns, as assessed using EMG is not well known. Nine samples of the same Mahon cheese (60 days ripening) were given to 24 subjects (8 experts, 16 untrained) and EMG recorded for each chewing sequence. Three samples were tested in a single session by each subject, and three sessions carried out on different days. EMG was recorded from four masticatory muscles for each subject. From EMG records the following was extracted: number of chews, chewing time, mean and maximum voltage of EMG bursts (i.e. chews) across chewing sequence, chewing work and chewing rate. No gender bias was found for the EMG parameters considered, therefore, as regards gender, each group was considered to be homogeneous. Variability within-subjects across samples was greater for experts than untrained subjects. Significant differences in chewing time, chewing work and chewing rate were found between the expert and untrained groups. Data analysis of the three sessions showed an influence of cognitive constructs, mediating states, on the chewing process. The experts were found to be goal driven as to their mastication process. Experts showed no significant differences between sessions, untrained subjects were found to vary their EMG output in successive sessions for number of chews, chewing time, mean voltage, and chewing work.</jats:p>
Comparison of electromyographic pattern of sensory experts and untrained subjects during chewing of Mahon cheese
[ "GONZÁLEZ REMEDIOS ", "SIFRE SILVIA ", "BENEDITO JOSÉ ", "NOGUÉS VIVIANA " ]
https://doi.org/10.1017/s0022029901005325
2,002
July
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10.1017/s0022112002008297
<jats:p>The linear receptivity of a swept-wing three-dimensional boundary layer is studied experimentally and theoretically. Cross-flow instability normal modes are excited by means of surface vibration or roughness perturbations. The resulting disturbances are investigated, and the normal modes are linked to the source perturbations. Experiments are performed under controlled disturbance conditions with a time-harmonic source that is localized in the spanwise direction. A localized surface vibration is used to excite wave trains consisting of cross-flow instability waves. Normal oblique modes (harmonic in time and space) are obtained by Fourier decomposition of the wave trains. This provides the spatial variation of the normal modes and, in particular, the initial amplitudes and phases of the modes at the source location. The shape of the surface vibrator is measured and used to determine the complex receptivity coefficients for the normal modes (i.e. for various spanwise wavenumbers, wave propagation angles, and disturbance frequencies – including zero frequency). The experimental receptivity coefficients are independent of the specific shape of the surface non-uniformities and can be directly compared with calculations. The theoretical work is based on a linear approximation to the disturbance source – valid for small forcing amplitudes. Like earlier studies on roughness-induced receptivity, the basic flow is locally assumed to satisfy the parallel-flow approximation. The modal response for the cross-flow instability is determined from the residue associated with the least-stable eigenmode.</jats:p><jats:p>A detailed quantitative comparison between the experimental and theoretical receptivity characteristics is carried out. Good agreement is found for the roughness–vibrational receptivity coefficients of the swept-wing boundary layer (especially for the most-unstable cross-flow modes) over a range of disturbance frequencies and spanwise wavenumbers. The theory correctly predicts the initial spectra for the travelling and stationary cross-flow instabilities excited by the surface vibrations and surface roughness, respectively. The good agreement between theory and experiment suggests that the linear receptivity theory can be used effectively in engineering methods for transition prediction. The experimental data can also be used for validation of other theoretical approaches to the problem.</jats:p>
Swept-wing boundary-layer receptivity to surface non-uniformities
[ "GAPONENKO V. R. ", "IVANOV A. V. ", "KACHANOV Y. S. ", "CROUCH J. D. " ]
https://doi.org/10.1017/s0022112002008297
2,002
July
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10.1017/s0022112002008315
<jats:p>The theory of point vortices in a two-dimensional ideal fluid has a long history, but on surfaces other than the plane no method of finding periodic motions (except relative equilibria) of <jats:italic>N</jats:italic> vortices is known. We present one such method and find infinite families of periodic motions on surfaces possessing certain symmetries, including spheres, ellipsoids of revolution and cylinders. Our families exhibit bifurcations. <jats:italic>N</jats:italic> can be made arbitrarily large. Numerical plots of bifurcations are given.</jats:p>
Periodic motions of vortices on surfaces with symmetry
[ "SOULIÈRE ANIK ", "TOKIEDA TADASHI " ]
https://doi.org/10.1017/s0022112002008315
2,002
July
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10.1017/s0022112002008534
<jats:p>In previous experiments, the vortex-shedding frequency in the flow around rectangular prisms has been found to follow a stepwise variation with chord-to-thickness ratio for two different situations: the natural shedding at low Reynolds number and the excitation of a resonant transverse acoustic mode of a duct for flows at moderate Reynolds numbers. This stepwise variation disappears for natural shedding at Reynolds number higher than approximately 2000; however, it is present at the higher Reynolds numbers for the acoustically perturbed case. The present experimental study shows that if the flow is forced by small transverse oscillations, similar in form to the resonant transverse acoustic mode, the leading-edge and trailing-edge vortex shedding are locked over a wide range of forcing frequencies. However, a stepwise variation in the frequency at which peak base drag occurs is found even at these higher Reynolds numbers. The stepwise frequency variation of vortex shedding in the natural shedding case and the acoustic resonance case are then explained in terms of preference of the flow to shed trailing-edge vortices at peak base drag.</jats:p>
Response of base suction and vortex shedding from rectangular prisms to transverse forcing
[ "MILLS RICHARD ", "SHERIDAN JOHN ", "HOURIGAN KERRY " ]
https://doi.org/10.1017/s0022112002008534
2,002
July
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10.1017/s0022377801001301
<jats:p>A modified electron whistler dispersion law is derived in the cold-plasma approximation for analytical treatment and simplified numerical calculations of wave propagation in a wide range of ratios ω<jats:sub><jats:italic>c</jats:italic></jats:sub>/ω<jats:sub><jats:italic>p</jats:italic></jats:sub> of electron gyro- to plasma frequencies if the wave frequency is much less than ω<jats:sub><jats:italic>p</jats:italic></jats:sub>. The net contribution of ions to the wave dispersion law is expressed through the value of the lower-hybrid resonance frequency ω<jats:sub><jats:italic>lhr</jats:italic></jats:sub> only. This approximate dispersion law is valid in a wide frequency domain, that is, from the range of ω<jats:sub><jats:italic>lhr</jats:italic></jats:sub> until the domain where the contribution of ions can be neglected. A comparison of geometrical-optics ray trajectories calculated by the use of modified and total cold-plasma electron whistler dispersion laws is presented for the case of the Earth's plasma environment. Computer simulations of dynamical spectra of whistler waves excited by lightning discharges and registered in remote regions of the Earth's plasmasphere reveal good numerical stability of the developed ray-tracing code.</jats:p>
Modified electron whistler dispersion law
[ "LUNDIN B. V. ", "KRAFFT C. " ]
https://doi.org/10.1017/s0022377801001301
2,002
July
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10.1017/s0025100302000178
"<jats:p>Kéo is an Austronesian language spoken by approximately 40,000 speakers in central Flores (...TRUNCATED)
Kéo
[ "Baird Louise " ]
https://doi.org/10.1017/s0025100302000178
2,002
July
[0.20788125693798065,0.5399138927459717,-0.5860422849655151,-0.44279569387435913,0.1979234516620636,(...TRUNCATED)
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Created vector embeddings for the abstract field for the dataset: bluuebunny/crossref_metadata_2025_split using mixedbread-ai/mxbai-embed-large-v1

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