2 7 Fe b 20 15 SUBTENDED ANGLES
نویسندگان
چکیده
We consider the following question. Suppose that d > 2 and n are fixed, and that θ1, θ2, . . . , θn are n specified angles. How many points do we need to place in R to realise all of these angles? A simple degrees of freedom argument shows that m points in R cannot realise more than 2m− 4 general angles. We give a construction to show that this bound is sharp when m > 5. In d dimensions the degrees of freedom argument gives an upper bound of dm− ( d+1
منابع مشابه
ar X iv : a st ro - p h / 06 02 38 1 v 1 1 7 Fe b 20 06 Muon Flux at the Geographical South Pole
The muon flux at the South-Pole was measured for five zenith angles, 0◦, 15◦, 35◦, 82.13◦ and 85.15◦ with a scintillator muon telescope incorporating ice Cherenkov tank detectors as the absorber. We compare the measurements with other data and with calculations.
متن کاملLegibility Index for Examining Common Viewing Situations: A New Definition Using Solid Angle
The legibility levels of text and graphics can be assessed using the Legibility Index, conventionally defined as the distance at which material can be read with perfect accuracy (the legibility distance) divided by the character height. The ratio equals the inverse tangent of the visual angle subtended by the character. The definition assumes that the viewing material is perpendicular to the ob...
متن کامل3-(1H-Imidazol-1-yl)propanaminium picrate
IN THE TITLE SALT [SYSTEMATIC NAME: 3-(1H-imidazol-1-yl)propanaminium 2,4,6-tri-nitro-phenolate], C6H12N3 (+)·C6H2N3O7 (-), there are five independent cation-anion pairs (A, B, C, D, E) in the asymmetric unit. In the cation, the ammonium group is protonated with the amino-propyl group nearly at right angles to the mean plane of the imidazole ring showing C-N-C-C torsion angles ranging from 79.6...
متن کامل1-(2-Bromobenzyl)-3-isopropylbenzimidazolin-2-one
In the structure of the title compound, C(17)H(17)BrN(2)O, the central phenyl and imidazol-2-one rings are coplanar (dihedral angle between planes of 0.73 (11)°). The angles subtended by the substituents on the N atoms of the imidazol-2-one ring range from 109.71 (14)° to 128.53 (15) due to steric hindrance of these substituents with the phenyl H atoms. The carbonyl O and Br both make two weak ...
متن کاملDinitrosylbis[tris(4-methylphenyl)phosphane]iron
The title compound, [Fe(NO)(2)(C(21)H(21)P)(2)], belongs to the family of metal dinitrosyl compounds with the general formula Fe(NO)(2)(L)(x), referred to collectively as 'dinitrosyl iron compounds' (DNICs). Herein we report the structure of a dinitrosyl iron diphosphane complex, [Fe(NO)(2)L(2)], with L = P(C(6)H(4)-p-CH(3))(3). There are two crystallographically independent but chemically equa...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2015