scholarly journals Renormaliation-group blocking the fourth root of the staggered determinant

2005 ◽  
Author(s):  
Yigal Shamir
Keyword(s):  
1937 ◽  
Vol 15a (7) ◽  
pp. 109-117
Author(s):  
R. Ruedy

For a vertical plane surface in still air the coefficient of heat transfer, valid within the range of temperatures occurring in buildings, depends on the temperature and the height of the surface. If black body conditions are assumed for the heat lost by radiation, the coefficient is equal to 1.39, 1.50, 1.62, and 1.73 B.t.u. per sq. ft. per ° F. at 32°, 50°, 68°, and 86° F. respectively, the height of the heated surfaces being 100 cm. Convection is responsible for about one-third, and radiation, mainly in the region of 10 microns, for about two-thirds of the heat loss. Convection currents depend on the temperature difference, while radiation depends on the average temperature. When attempts are made to stop convection currents by placing obstacles across the surface, the loss of heat due to natural convection varies inversely as the fourth root of the height, providing that the nature of the flow of air remains unchanged.


2008 ◽  
Vol 42 (4) ◽  
pp. 815-852 ◽  
Author(s):  
DAVID HENLEY ◽  
JAMIE S. DAVIDSON

AbstractThis article examines the revival ofadat(custom) in post-Suharto Indonesia, a movement which few Indonesia-watchers predicted. Four general reasons for the rise ofadatrevivalism are identified. The first is the support, both ideological and concrete, of international organizations and networks committed to the rights of indigenous peoples. The second is the uncertainty, together with the opportunities, attendant on the processes of democratization and decentralization which followed the end of Suharto's authoritarian rule. The third is the oppression of marginal population groups under the New Order. The fourth root is historical, having to do with the positive role whichadathas played in the country's political imagination since the beginning of Indonesian nationalism.Adatas a political cause involves a set of loosely related ideals which, rightly or wrongly, are associated with the past: authenticity, community, order, and justice. These ideals have been invoked in varying proportions to pursue a wide variety of political ends, including the control of resources and the exclusion of rivals as well as the protection, empowerment, and mobilization of underprivileged groups.


1958 ◽  
Vol 12 ◽  
pp. 142-144 ◽  
Author(s):  
Ralph Gräsbeck ◽  
Artturi I. Virtanen ◽  
Anders Norrby ◽  
Lars Svennerholm ◽  
L. Ernster ◽  
...  

2019 ◽  
Vol 100 (5) ◽  
pp. 1564-1582 ◽  
Author(s):  
Robert A Martin ◽  
Richard J Zakrzewski

Abstract We evaluated the fossil record of extinct and extant woodrats, and generated a comprehensive phylogenetic hypothesis of woodrat origins and relationships based on these data. The galushamyinin cricetines are redefined and reclassified as a subtribe of the Neotomini, including Repomys, Miotomodon, Galushamys, Nelsonia, and a new extinct genus with two new species. The geographic distribution of Nelsonia, restricted to montane coniferous forests of western Mexico, suggests that this subtribe was mostly confined to western coniferous ecosystems or similar ecosystems at lower elevation during glacial advances. A second subtribe of the Neotomini includes a new archaic genus and species, Neotoma, Hodomys, and Xenomys. Lindsaymys, a possible neotominin from the late Clarendonian (late Miocene) of California, demonstrates an occlusal morphology consistent with ancestry for the Neotomini, but the presence of a fourth root on M1 is problematic and may preclude the known populations from filling that role. Molars identified as Neotoma sp. from the Hemphillian (latest Miocene or early Pliocene) Rancho el Ocote assemblage of Guanajuato, Mexico, may represent the earliest Xenomys. Extant Neotoma species with a bilobed m3 appear to have originated subsequent to about 2.0 Ma, whereas Hodomys alleni and Xenomys nelsoni likely originated earlier from one or more extinct ancestors with an S-shaped m3.


2010 ◽  
Vol 432 (11) ◽  
pp. 2816-2823 ◽  
Author(s):  
David M. Duncan ◽  
Thomas R. Hoffman ◽  
James P. Solazzo

Author(s):  
W. L. Edge

A ternary form of degree n can be expressed as a symmetrical determinant, of n rows and columns, whose elements are linear forms; furthermore, not only is such a mode of expression known to be possible, but A. C. Dixon, in 1902, gave* a process by which the determinant can be obtained when the ternary form is given. This process, however, although it admits of such a straightforward theoretical description, cannot be carried through in practice, for a general ternary form, without the introduction of complicated algebraical irrationalities, even if we restrict ourselves to forms of the fourth degree; consequently no application of Dixon's process to an actual example seems to have been published. If then a choice can be made of a quartic form for which the reduction to a symmetrical determinant can be carried out without undue complication, it seems fitting to give some account of it. The following pages are therefore devoted to the study, from this aspect, of the form x4+y4+z4, for which the reduction can be accomplished without introducing any irrationality other than the fourth root of − 1.


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