Solid Angle and Projected Solid Angle
Angelo Arecchi, Tahar Messadi, R. John Koshel · SPIE eBooks · 2010
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About 10,000 papers for “Solid angle”
Angelo Arecchi, Tahar Messadi, R. John Koshel · SPIE eBooks · 2010
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H. P. Lehmann, X. Fuentes-Arderiu, L. F. Bertello · IUPAC Standards Online · 2016
From 1967 onwards, a number of documents prepared by the IUPAC/C-QUCC and IFCC/C-QU (from 1996-01-01 C-NPU), with input from many clinical laboratory scientists worldwide, and consistent with standards promulgated by authoritative international scientific organisations, have been published. Because of the importance of a consistent terminology in clinical chemistry and because these documents are often published in journals that may not be readily accessible, the C-NPU has prepared a glossary containing those terms considered of particular interest to the clinical chemistry and clinical laboratory science communities. The glossary has been compiled from definitions taken from published documents of the C-NPU. Also it contains a number of terms, and their definitions, considered relevant to the practice of clinical chemistry, taken from the official documents of other commissions of IUPAC and of international scientific organisations such as the International Organisation for Standardisation, the International Bureau of Weights and Measures and the International Union of Biochemistry and Molecular Biology.
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Arnold Daniels · SPIE eBooks · 2009
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H. A. E. Keitz · 1971
In plane geometry, that part cf a plane area lying between two lines meeting at a point (the apex) is called an angle. The size of an angle can be indicated in two different ways, viz: a) the whole plane area may be divided (by lines passing through the apex of the angle) into 360 equal parts (degrees), the angle being then expressed in degrees. b) with the apex of the angle as centre a circle of any radius may be drawn. Use is then made of the fact that the arc of the circle enclosed by the two lines forming the angle is proportional to the angle. The length of the arc, expressed in terms of the radius is employed as a measure of the angle. The unit is the angle subtended by an arc of the same length as the radius of the circle, this unit being known as the radian: 1 radian = 57°17′44.8″. A plane angle is therefore \(\frac{{arc length}}{{radius}}\) radians
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Токмачев Александр Сергеевич, Tokmacev Aleksandr Sergeevic · Research Repository Saint Petersburg State University (Saint Petersburg State University) · 2021
В работе приводится способ построения последовательности вероятностных мер на вещественных алгебраических числах произвольной фиксированной степени, слабо сходящейся к стандартному распределению Коши, с использованием теории случайных многочленов.
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SpringerReference · 2011
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SPIE eBooks · 2011
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A. van Oosterom · Journal of Electrocardiology · 2002
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2024
Citation: 'solid angle of analyser' in the IUPAC Compendium of Chemical Terminology, 5th ed.; International Union of Pure and Applied Chemistry; 2025. Online version 5.0.0, 2025. 10.1351/goldbook.09282 • License: The IUPAC Gold Book is licensed under Creative Commons Attribution-ShareAlike CC BY-SA 4.0 International for individual terms. Requests for commercial usage of the compendium should be directed to IUPAC.
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S. L. Qui, H. Amano, Atsushi Kasai · Radiation Protection Dosimetry · 1988
The solid angle in extended alpha source measurement for a series of counting geometries has been obtained by two methods: (1) calculated by means of the Nelson Blachmen series; (2) interpolated from the data table given by Gardner. A particular consequence of the application of the Nelson Blachmen series was deduced which was different from that given by the original author. The applicability of these two methods, as well as an experimentally measured method, is also evaluated.
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Rizk A. Rizk, Aaishah M. Hathout, Abdel-Razik Z. Hussein · Nuclear Instruments and Methods in Physics Research Section A Accelerators Spectrometers Detectors and Associated Equipment · 1986
Cited by 7
Fabjan, Christian Wolfgang, Gutbrod, H H, Sandoval, A et al. · CERN Bulletin · 1982
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Oosterom, A. van · Radboud Repository (Radboud University) · 2002
This paper evaluates the position of the solid angle in its application to modeling in electrocardiology. Particular attention is paid to the use of the solid angle for linking cardiac electric activity to the potentials observed on the body surface. In this application, the solid angle is a dominant factor in the expression of the sources during depolarization known as the uniform double layer. In the related equivalent double layer model, the contributions of the elementary sources are also expressed in terms of solid angles, their strength not being uniform. A recently developed theory allows the equivalent double layer to be applied to both depolarization and repolarization.
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Phil Attard · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 2000
The spreading of an elastic adhesive sphere on a substrate is calculated using continuum elasticity theory and the van der Waals interaction between the solid surfaces. The deformation and contact area are obtained self-consistently as a function of load. Hysteresis is demonstrated between the loading and the unloading cycles: the receding contact angle exceeds the advancing one. In addition, for a given deformation (flattening), or for a given applied load, the receding contact area exceeds the advancing one. This nonequilibrium phenomenon is velocity dependent and in accord with experiments on adhesion and crack propagation.
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National Cancer Institute · Definitions · 2020
A unit of ratio of the spherical area to the square of the radius. The spherical area is a rectilinear projection of the object of any shape onto a plane normal to the unit vector, and the solid angle is the surface area of that projection.
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SPIE eBooks · 2011
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Dongfang Ma, Yueyi Han, Sheng Jin · Chinese Physics B · 2020
Existing traffic flow models give little consideration on vehicle sizes. We introduce the solid angle into car-following theory, taking the driver’s perception of the leading vehicle’s size into account. The solid angle and its change rate are applied as inputs to the novel model. A nonlinear stability analysis is performed to analyze the asymmetry of the model and the size effect of the leading vehicle, and the modified Korteweg–de Vries equation is derived. The solid angle model can explain complex traffic characteristics and provide an important basis for modeling nonlinear traffic phenomena.
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Rahul Malik · ArXiv.org · 2002
On the basis of the data given in the works of different authors a criterion of phase-photometric method of measurement of energy angle of divergence has been formulated. Validity of application of the obtained relations for a ray beam with an arbitrary diameter and an arbitrary shape of the wave front has been proved. Advantages of the proposed phase-photometric method in comparison with the focal-spot method have been confirmed. Necessity and possibility of building a standard solid angle has been proved.
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C.E. Newlon · OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) · 1968
Safe arrays of fissile material can be assembled by following a set of useful criteria known as the solid angle method. The spacing criteria specify that an array unit be (a) individually safe for the system moderator and reflector, and (b) separated on the basis of an allowable solid angle, or at a safe isolation distance for the separation medium, whichever is greater. The method is based on a first-order interaction theory which often gives predicted critical separations within 0.25 in. of experimental measurements.
Cited by 2Open access
Henry Sadowski, Robert M. Sweet · 1975
Abstract : The objective of this program was to develop a breadboard system to demonstrate the feasibility of a new class of reconnaissance camera, namely, a high resolution, low distortion, ultra-wide angle electronic image sensor matched to the silicon optical response spectrum and having no moving parts. To achieve this objective a prototype lens was developed in parallel with a technique for optically butting linear Charge Coupled Devices (CCD). A breadboard scanner/display was fabricated which served to demonstrate the achievement of the objective. Separate lens test results are included in the report.
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