Behavior of chiral active nematics confined to nanoscopic circular region

2021 ◽  
Vol 44 (9) ◽  
Author(s):  
L. V. Mirantsev
Keyword(s):  
Circular Region

78. The lunar occultation of a radio star and the derivation of an upper limit for the density of the lunar atmosphere

1957 ◽  
Vol 4 ◽  
pp. 403-405 ◽  
Author(s):  
B. Elsmore
Keyword(s):  
Radio Source ◽  
Large Diameter ◽  
Circular Region ◽  
Radio Brightness ◽  
Interferometric Method ◽  
Filamentary Structure ◽  
Lunar Occultation ◽  
Upper Limit

Observations were made at Cambridge on 26 April 1955 of the lunar occultation of the large-diameter radio source in the constellation of Gemini. This radio source, having r.a. 06h 13m 37s and dec. 22° 38′ (1950·0), has been identified by Baldwin and Dewhirst (1954) [1] as the galactic nebulosity IC443, which consists of a filamentary structure contained within a circular region of 24′·5 radius. Baldwin and Dewhirst also succeeded in measuring the distribution of radio ‘brightness’ across the source using an interferometric method; their measurements indicate that the diameter of the radio source is approximately the same as that of the visible nebulosity.

scholarly journals A More Comprehensive Habitable Zone for Finding Life on Other Planets

Geosciences ◽  
2018 ◽  
Vol 8 (8) ◽  
pp. 280 ◽  
Author(s):  
Ramses Ramirez
Keyword(s):  
Greenhouse Gases ◽  
Main Sequence ◽  
Habitable Zone ◽  
Circular Region ◽  
Main Sequence Stars ◽  
Habitable Planets ◽  
Host Life ◽  
Navigational Tool ◽  
Bodies Of Water

The habitable zone (HZ) is the circular region around a star(s) where standing bodies of water could exist on the surface of a rocky planet. Space missions employ the HZ to select promising targets for follow-up habitability assessment. The classical HZ definition assumes that the most important greenhouse gases for habitable planets orbiting main-sequence stars are CO2 and H2O. Although the classical HZ is an effective navigational tool, recent HZ formulations demonstrate that it cannot thoroughly capture the diversity of habitable exoplanets. Here, I review the planetary and stellar processes considered in both classical and newer HZ formulations. Supplementing the classical HZ with additional considerations from these newer formulations improves our capability to filter out worlds that are unlikely to host life. Such improved HZ tools will be necessary for current and upcoming missions aiming to detect and characterize potentially habitable exoplanets.

scholarly journals Some Janowski Type Harmonic q-Starlike Functions Associated with Symmetrical Points

Mathematics ◽  
2020 ◽  
Vol 8 (4) ◽  
pp. 629 ◽  
Author(s):  
Muhammad Arif ◽  
Omar Barkub ◽  
Hari Srivastava ◽  
Saleem Abdullah ◽  
Sher Khan
Keyword(s):  
Differential Operator ◽  
Harmonic Functions ◽  
Sufficient Conditions ◽  
Starlike Functions ◽  
Partial Sums ◽  
Circular Region ◽  
Necessary And Sufficient ◽  
New Criterion ◽  
Symmetrical Points ◽  
Convexity Conditions

The motive behind this article is to apply the notions of q-derivative by introducing some new families of harmonic functions associated with the symmetric circular region. We develop a new criterion for sense preserving and hence the univalency in terms of q-differential operator. The necessary and sufficient conditions are established for univalency for this newly defined class. We also discuss some other interesting properties such as distortion limits, convolution preserving, and convexity conditions. Further, by using sufficient inequality, we establish sharp bounds of the real parts of the ratios of harmonic functions to its sequences of partial sums. Some known consequences of the main results are also obtained by varying the parameters.

The Wavefield Radiated Into an Elastic Half-Space by a Transducer of Large Aperture

1988 ◽  
Vol 55 (2) ◽  
pp. 398-404 ◽  
Author(s):  
John G. Harris
Keyword(s):  
Power Series ◽  
Plane Wave ◽  
Half Space ◽  
Wave Equations ◽  
Ultrasonic Transducer ◽  
Elastic Half Space ◽  
The Other ◽  
Circular Region ◽  
Asymptotic Power ◽  
Normal Traction

The wavefield radiated into an elastic half-space by an ultrasonic transducer, as well as the radiation admittance of the transducer coupled to the half-space, are studied. Two models for the transducer are used. In one an axisymmetric, Gaussian distribution of normal traction is imposed upon the surface, while in the other a uniform distribution of normal traction is imposed upon a circular region of the surface, leaving the remainder free of traction. To calculate the wavefield, each wave emitted by the transducer is expressed as a plane wave multiplied by an asymptotic power series in inverse powers of the aperture’s (scaled) radius. This reduces the wave equations satisfied by the compressional and shear potentials to their parabolic approximations. The approximations to the radiated waves are accurate at a depth where the wavefield remains well collimated.

Statistical theory of adsorption with long-range interaction

1938 ◽  
Vol 34 (2) ◽  
pp. 238-252 ◽  
Author(s):  
J. S. Wang
Keyword(s):  
Statistical Theory ◽  
Long Range ◽  
Unit Area ◽  
Continuous Distribution ◽  
Lattice Points ◽  
Circular Region ◽  
Range Interaction ◽  
Dipole Interactions ◽  
Long Range Interactions ◽  
Long Range Interaction

The statistical theory of long-range interactions between adsorbed particles on a plane lattice is worked out approximately, by treating in detail the distribution of adsorbed particles among a few sites inside and on the boundary of a circular region, and regarding the distribution outside the circle as uniform and continuous with a density Kθ per unit area, where K is the number of lattice points per unit area and θ is the fraction of surface covered by adsorbed particles. The continuous distribution begins at a distance ρ from the centre of the circle, ρ being determined by the condition that the probability of occupation of a first shell site is equal to the probability θ of occupation of the central site. Using this method, general formulae for the adsorption isotherm and the heat of adsorption are obtained. Numerical applications for dipole interactions and for quadratic and hexagonal lattices are worked out in detail and the case in which the dipole moment varies with θ is discussed.

136 Characteristic Elastic Waves Revolving in a Circular Region

2008 ◽  
Vol 2008.43 (0) ◽  
pp. 73-74
Author(s):  
Tadashi OHYOSHI ◽  
Seyin-qimuge ◽  
Kimihisa Miura
Keyword(s):  
Elastic Waves ◽  
Circular Region
Sign in / Sign up

Export Citation Format

Share Document