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121.
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123.
Keith M. Rogers 《Proceedings of the American Mathematical Society》2005,133(12):3543-3550
We find the sharp constant in a sublevel set estimate which arises in connection with van der Corput's lemma. In order to do this, we find the nodes that minimise divided differences. We go on to find the sharp constant in the first instance of the van der Corput lemma. With these bounds we improve the constant in the general van der Corput lemma, so that it is asymptotically sharp.
124.
E. Cohen J. W. Commelin Pfeffer van 't Hoff Ladenburg Adie Tammann Raoult Naccari Ponsot H. N. Morse D. W. Horn J. C. W. Frazer B. S. Hopkins E. J. Hoffmann W. L. Kennon L. F. Lovelace W. W. Holland F. M. Rogers P. B. Dunbar B. Mears B. F. Lovelace Berkeley Hartley Barlow und L. Kahlenberg 《Fresenius' Journal of Analytical Chemistry》1909,48(4-5):273-278
Ohne Zusammenfassung 相似文献
125.
126.
S. Dymkou M. Dymkov E. Rogers K. Galkowski 《Integral Equations and Operator Theory》2008,60(2):201-216
Differential repetitive processes are a distinct class of continuous-discrete 2D linear systems of both systems theoretic
and applications interest. The feature which makes them distinct from other classes of such systems is the fact that information
propagation in one of the two independent directions only occurs over a finite interval. Applications areas include iterative
learning control and iterative solution algorithms for classes of dynamic nonlinear optimal control problems based on the
maximum principle, and the modelling of numerous industrial processes such as metal rolling, and long-wall cutting etc. The
new results in is paper solve a general optimal problem in the presence of non-stationary dynamics. 相似文献
127.
A.J. Belfield T.G. Rogers A.J.M. Spencer 《Journal of the mechanics and physics of solids》1983,31(1):25-54
We Consider fibre-reinforced elastic plates with the reinforcement continuously distributed in concentric circles ; such a material is locally transversely isotropic, with the circumferential direction as the preferred direction. For an annulus bounded by concentric circles, the exact solution of the traction boundary value problem is obtained. When the extension modulus in the fibre direction is large compared to other extension and shear moduli, the material is strongly anisotropic. For this case a simpler approximate solution is obtained by treating the material as inextensible in the fibre direction. It is shown that the exact solution reduces to the inextensible solution in the appropriate limit. The inextensible theory predicts the occurrence of stress concentration layers in which the direct stress is infinite ; for materials with small but finite extensibility these layers correspond to thin regions of high stress and high stress gradient. A boundary layer theory is developed for these regions. For a typical carbon fibre-resin composite, the combined boundary layer and inextensible solutions give an excellent approximation to the exact solution. The theory is applied to the problem of an isotropic plate, under uniform stress at infinity, containing a circular hole which is strengthened by the addition of an annulus of fibre-reinforced material. 相似文献
128.
The phase versus frequency function of the distortion product otoacoustic emission (DPOAE) at 2f(1) - f(2) is approximately invariant at frequencies above 1.5 kHz in human subjects when recorded with a constant f(2)/f(1). However, a secular break from this invariance has been observed at lower frequencies where the phase-gradient becomes markedly steeper. Apical DPOAEs, such as 2f(1)?- f(2), are known to contain contributions from multiple sources. This experiment asked whether the phase behavior of the ear canal DPOAE at low frequencies is driven by the phase of the component from the distortion product (DP) region at 2f(1)?- f(2), which exhibits rapid phase accumulation. Placing a suppressor tone close in the frequency to 2f(1)?- f(2) reduced the contribution of this component to the ear canal DPOAE in normal-hearing adult human ears. When the contribution of this component was reduced, the phase behavior of the ear canal DPOAE was not altered, suggesting that the breaking from DPOAE phase invariance at low frequencies is an outcome of apical-basal differences in cochlear mechanics. The deviation from DPOAE phase invariance appears to be a manifestation of the breaking from approximate scaling symmetry in the human cochlear apex. 相似文献
129.
Çapoğlu İR White CA Rogers JD Subramanian H Taflove A Backman V 《Optics letters》2011,36(9):1596-1598
Rigorous numerical modeling of optical systems has attracted interest in diverse research areas ranging from biophotonics to photolithography. We report the full-vector electromagnetic numerical simulation of a broadband optical imaging system with partially coherent and unpolarized illumination. The scattering of light from the sample is calculated using the finite-difference time-domain (FDTD) numerical method. Geometrical optics principles are applied to the scattered light to obtain the intensity distribution at the image plane. Multilayered object spaces are also supported by our algorithm. For the first time, numerical FDTD calculations are directly compared to and shown to agree well with broadband experimental microscopy results. 相似文献
130.
Radosevich AJ Mutyal NN Turzhitsky V Rogers JD Yi J Taflove A Backman V 《Optics letters》2011,36(24):4737-4739
In this Letter, we describe an easy to implement technique to measure the spatial backscattering impulse-response at length scales shorter than a transport mean free path with resolution of better than 10 μm using the enhanced backscattering phenomenon. This technique enables spectroscopic measurements throughout the visible range and sensitivity to all polarization channels. Through a combination of Monte Carlo simulations and experimental measurements of latex microspheres, we explore the various sensitivities of our technique to both intrinsic sample properties and extrinsic instrumental properties. We conclude by demonstrating the extraordinary sensitivity of our technique to the shape of the scattering phase function, including higher order shape parameters than the anisotropy factor (or first moment). 相似文献