scholarly journals Explicit estimates of angular direction are more expanded in elevation than in azimuth, even with sideways observers

2018 ◽  
Vol 18 (10) ◽  
pp. 501
Author(s):  
Umi Keezing ◽  
Frank Durgin
Keyword(s):  
Angular Direction

Properties of Large Eden Clusters in the Plane

1994 ◽  
Vol 3 (4) ◽  
pp. 471-505 ◽  
Author(s):  
J. M. Hammersley ◽  
G. Mazzarino
Keyword(s):  
Surface Roughness ◽  
Fractal Dimension ◽  
Computer Simulations ◽  
Statistical Data ◽  
Higher Dimensions ◽  
Central Cluster ◽  
Circular Shape ◽  
Angular Direction ◽  
Edge Method ◽  
Macroscopic Shape

Whereas the cylindrical version of an Eden cluster in the plane has a surface roughness with a fractal dimension predicted by theory, the central version has hitherto seemed to conflict with theory. However, a fresh way of analysing computer simulations of the central version shows that this anomaly is more apparent than real, and the central version can thereby be reconciled with theory. As a by-product, we obtain statistical data on the properties of the central version in the plane. The macroscopic shape of a central cluster is not circular, and microscopic roughness depends weakly upon the angular direction of portions of the surface. Rather surprisingly, the edge method of construction gives a more nearly circular shape than the external and internal methods. For higher dimensions than the plane, the corresponding treatment is more difficult, and there the situation remains obscure. Higher dimensions and certain other clusters (e.g.Richardson clusters) are treated briefly in Section 6. The theory of surface roughness uses a spatial generalization of martingales, called a serial harness: this is also described in Section 6.

scholarly journals Wide-band coronagraph with sinusoidal phase in the angular direction

2012 ◽  
Vol 20 (10) ◽  
pp. 10933 ◽  
Author(s):  
Ourui Ma ◽  
Qing Cao ◽  
Fanzhen Hou
Keyword(s):  
Wide Band ◽  
Angular Direction

scholarly journals ANGULAR INFLATION FROM SUPERGRAVITY

2002 ◽  
Vol 17 (25) ◽  
pp. 1627-1634 ◽  
Author(s):  
G. GERMÁN ◽  
ANUPAM MAZUMDAR ◽  
A. PÉREZ-LORENZANA
Keyword(s):  
Supersymmetry Breaking ◽  
Radial Direction ◽  
Radial Field ◽  
Angular Component ◽  
Angular Direction ◽  
Kähler Potential ◽  
Analytical Expressions ◽  
Chiral Superfield ◽  
Inflationary Models

We study supergravity inflationary models where inflation is produced along the angular direction. For this we express the scalar component of a chiral superfield in terms of the radial and the angular components. We then express the supergravity potential in a form particularly simple for calculations involving polynomial expressions for the superpotential and Kähler potential. We show for a simple Polonyi model the angular direction may give rise to a stage of inflation when the radial field is fixed to its minimum. We obtain analytical expressions for all the relevant inflationary quantities and discuss the possibility of supersymmetry breaking in the radial direction while inflating by the angular component.

scholarly journals A Comparative Study on the Hemodynamic Performance Within Cross and Non-cross Stent-Grafts for Abdominal Aortic Aneurysms With an Angulated Neck

2021 ◽  
Vol 12 ◽  
Author(s):  
Ming Qing ◽  
Yue Qiu ◽  
Jiarong Wang ◽  
Tinghui Zheng ◽  
Ding Yuan
Keyword(s):  
Endovascular Aneurysm Repair ◽  
Abdominal Aortic Aneurysms ◽  
Aortic Aneurysms ◽  
Maximum Difference ◽  
Stent Grafts ◽  
Aneurysm Neck ◽  
Angular Direction ◽  
Aortic Neck ◽  
Abdominal Aortic ◽  
The Difference

Objectives: Cross-limb stent grafts for endovascular aneurysm repair (EVAR) are often employed for abdominal aortic aneurysms (AAAs) with significant aortic neck angulation. Neck angulation may be coronal or sagittal; however, previous hemodynamic studies of cross-limb EVAR stent grafts (SGs) primarily utilized simplified planar neck geometries. This study examined the differences in flow patterns and hemodynamic parameters between crossed and non-crossed limb SGs at different spatial neck angulations.Methods: Ideal models consisting of 13 cross and 13 non-cross limbs were established, with coronal and sagittal angles ranging from 0 to 90°. Computational fluid dynamics (CFD) was used to capture the hemodynamic information, and the differences were compared.Results: With regards to the pressure drop index, the maximum difference caused by the configuration and angular direction was 4.6 and 8.0%, respectively, but the difference resulting from the change in aneurysm neck angle can reach 27.1%. With regards to the SAR-TAWSS index, the maximum difference caused by the configuration and angular direction was 7.8 and 9.8%, respectively, but the difference resulting from the change in aneurysm neck angle can reach 26.7%. In addition, when the aneurysm neck angle is lower than 45°, the configuration and angular direction significantly influence the OSI and helical flow intensity index. However, when the aneurysm neck angle is greater than 45°, the hemodynamic differences of each model at the same aneurysm neck angle are reduced.Conclusion: The main factor affecting the hemodynamic index was the angle of the aneurysm neck, while the configuration and angular direction had little effect on the hemodynamics. Furthermore, when the aneurysm neck was greatly angulated, the cross-limb technique did not increase the risk of thrombosis.

scholarly journals Morphological changes after lower eyelid epiblepharon surgery in Asian children

2021 ◽  
Vol 21 (1) ◽  
Author(s):  
Sang Jae Lee ◽  
Shin-Hyo Lee ◽  
Min Sub Lee ◽  
Youn Hye Jo ◽  
Hyun Jin Shin ◽  
...  
Keyword(s):  
Surgical Outcome ◽  
Medical Records ◽  
Morphological Changes ◽  
Lower Eyelid ◽  
Strabismus Surgery ◽  
Control Group ◽  
Angular Direction ◽  
Asian Children ◽  
The Mean

Abstract Background This study aimed to determine the morphological changes in Asian lower eyelid epiblepharon patients after surgery. Methods The medical records of 59 patients who underwent lower eyelid epiblepharon repair were reviewed retrospectively. Eighty-nine patients who underwent strabismus surgery were set as the control group. The photographs for each group were analyzed based on the following factors: inferior half area (IHA) of the eye, eyelash angular direction (EAD), angle between the eyelashes and the cornea, marginal reflex distance 1 (MRD1) and marginal reflex distance 2 (MRD2). Results After surgery, the medial EAD changed from 92.45° ± 20.21° (mean ± SD) to 79.43° ± 23.31°, while the central and lateral EADs were unchanged. IHA increased from 36.33 ± 9.78 mm3 to 43.06 ± 10.57 mm3, and MRD1 increased from 1.92 ± 0.99 mm to 2.50 ± 0.93 mm, whereas MRD2 did not change. The mean angle between the eyelashes and the cornea increased from 39.64° to 72.19° immediately postoperatively, but had reduced to 58.75° 3 months later, followed by no further significant change at the 6-month and 9-month postoperative follow-ups. Conclusions There is morphological changes of the eyelid after lower eyelid epiblepharon surgery, with increases in the IHA and MRD1. In addition, contact between the eyelashes and the cornea occurred mainly in the medial portion of the eyelid the position, which everted and stabilized over 3 months. Thus, follow-up observations are required for at least 3 months to properly evaluate the surgical outcome.

Characterization of Normal Mediolateral Angular Direction of Lower Eyelid Eyelashes in Different Age Groups

2015 ◽  
Vol 31 (4) ◽  
pp. 332-333 ◽  
Author(s):  
Fernando Procianoy ◽  
Taís B. Mendonça ◽  
Cristiane A. Bins ◽  
Martha P. L. Lang
Keyword(s):  
Age Groups ◽  
Lower Eyelid ◽  
Angular Direction
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