scholarly journals A Simple Interpretation of Quantity Calculus

Axiomathes ◽  
2022 ◽  
Author(s):  
Boris Čulina
1986 ◽  
Vol 85 (7) ◽  
pp. 3744-3748 ◽  
Author(s):  
Robert A. Harris ◽  
Richard A. Mathies ◽  
Walter T. Pollard

Uranium and lead analyses of rock samples from the Witwatersrand, Ventersdorp, and Transvaal supergroups give mainly discordant ages. Samples from the Upper Witwatersrand of the Orange Free State give 207 Pb/ 206 Pb ages of ca. 3000 Ma. These data when considered together with earlier total conglomerate U -Pb analyses from the Dominion Reef Supergroup lead to the conclusion that the uraniferous minerals of the Dominion Reef, Witwatersrand, Ventersdorp and Transvaal conglomerates are 3050 ± 50 Ma old. In the northern parts of the Witwatersrand Basin the parent uraniferous minerals experienced a major reworking at 2040 ± 100 Ma which brought about the partial or complete resetting of the original 3050 Ma age. Radiogenic lead released during this reworking crystallized as galena in veins and fissures which cut across the uraniferous conglomerate horizons. This reworking appears to have had little effect in the Orange Free State to the south. Its age and geographical extent suggest it was caused by thermal effects which accompanied the emplacement of the Bushveld Igneous Complex at 1950 ± 150 Ma. Samples from the south, which were relatively unaffected by the ca. 2040 Ma reworking generally show the effects of recent uranium loss. In the northern part of the basin discordant age patterns characteristic of lead loss have been imposed on uranium-lead systems which were generally reset (partially or completely) by the ca. 2040 Ma event. The presence of 3050 Ma old minerals in sedimentary sequences which are probably younger than ca. 2740 Ma suggests the simple interpretation that the uraniferous minerals are predominantly detrital.


1991 ◽  
Vol 06 (13) ◽  
pp. 2331-2346 ◽  
Author(s):  
KAI-WEN XU ◽  
CHUAN-JIE ZHU

We study the symmetry of two-dimensional gravity by choosing a generic gauge. A local action is derived which reduces to either the Liouville action or the Polyakov one by reducing to the conformal or light-cone gauge respectively. The theory is also solved classically. We show that an SL (2, R) covariant gauge can be chosen so that the two-dimensional gravity has a manifest Virasoro and the sl (2, R)-current symmetry discovered by Polyakov. The symmetry algebra of the light-cone gauge is shown to be isomorphic to the Beltrami algebra. By using the contour integration method we construct the BRST charge QB corresponding to this algebra following the Fradkin-Vilkovisky procedure and prove that the nilpotence of QB requires c=28 and α0=1. We give a simple interpretation of these conditions.


1974 ◽  
Vol 60 ◽  
pp. 591-597
Author(s):  
C. Yuan ◽  
L. Wallace

The rolling motion phenomenon is interpreted as an apparent motion in the observations. It is caused by (i) the combined effect of the differential rotation and the bending of the galactic plane for the spiral arms beyond the solar circle, or (ii) the displacement of the spiral arms from the central galactic plane for those within the solar circle.


1975 ◽  
Vol 12 (10) ◽  
pp. 3315-3318 ◽  
Author(s):  
N. Marinescu ◽  
M. Kugler

2007 ◽  
Author(s):  
Y. Oktem ◽  
R. B. Cakirli ◽  
R. F. Casten ◽  
R. J. Casperson ◽  
D. S. Brenner

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