Cauchy¿s Cours d¿analyse

Abstract

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Pd0.213Cd0.787 and Pd0.235Cd0.765 Structures: Their Long c Axis and Composite Crystals, Chemical Twinning, and Atomic Site Preferences

“…[35,57,[79][80][81][82][83][84][85][86][87][88][89][90][91][92][93][94][95][96][97] But they do more than just add another structure or two to the overall picture of gbrass variants. Previous views of g-brass focused on the polyhedral nature of the structure, [76,98] the fact that the gbrass unit cell is a 3 3 3 defective bcc lattice, the rhombohedral [83,89,[99][100][101] or primitive [88,90,96,102] variants, or the 2 2 2 superstructures of g-brass. [91,[103][104][105][106][107][108] More modern views of gbrass have been of it as a cubic quasicrystalline approximant phase, [41,78,109] a view which highlights a six-dimensional view of the structure.…”

Examining Progress and Equity in Information Received by Women Using a Modern Method in 25 Developing Countries

“…Of the 120 million women estimated to have unmet need in 2012 whom FP2020 aims to help, 75 million had never used a modern method (never-users) and 45 million had used a modern method but discontinued use (past users) [2]. The large number of past users reflects high discontinuation rates among women using reversible methods [3,4]. For example, an estimated 44% of pill users and 40% of injectable users discontinue use within 12 months [4].…”

Making up Numbers

“…As Archimedes notes, Aristarchus' stated assumption would lead to the conclusion that the fixed stars are 'infinitely far away', since the centre of a sphere (a dimensionless 'point') cannot be compared with the surface of the sphere. 4 He recognises that Aristarchus' model would yield a much greater radius for the sphere of the fixed stars than what he said was commonly assumed for the geocentric 'universe', namely the distance between the Earth and the Sun.…”

“…Grains of sand to fill the universe. Finally, Archimedes has to estimate the size of a grain of sand and compute how many grains would fill 4 Heath [20], p. 309, comments: While it is clear that Archimedes' interpretation is not justified, it may be admitted that Aristarchus did not mean his statement to be taken as a mathematical fact. He clearly meant to assert no more than that the sphere of the fixed stars is incomparably greater than that containing the earth's orbit as a great circle ; and he was shrewd enough to see that this is necessary in order to reconcile the apparent immobility of the fixed stars with the motion of the earth.…”