Paleontology: C. Stock
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چکیده
It is easily seen that the Kasner circle, mentioned in I, shrinks to a point. Thus II loses its meaning, the derivative clock being merely a point. But III' does not become meaningless. For the associated affinity T reduces to the functional relation between the points of a neighborhood of z and the corresponding values of w'(z). Thus the assertion that T is a direct similarity says exactly that the local correspondence Z -l w'(z) is conformal. This is in accord with the fact that the function w'(z) is now monogenic. Conclusion.-The derivative of any polygenic function is therefore characterized completely by our three properties: the circle property, the ratio property and the affine-similitude property.
منابع مشابه
Paleontology: C. Stock Titanotheres from the Titus Canyon Formation, California
Introduction.-The Titus Canyon formation of Oligocene age, occurring in the Death Valley region of California, was described in a recent paper by Stock and Bode.' Brief mention was made at that time of the fossil mammals found in this formation. Among these, the titanotheres were the first to be discovered and moreover are known by the best preserved material. These types possess special intere...
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Introduction.-Following the discovery and description of a titanotherel in the Poway sands of San Diego County, continued excavation in this important Eocene horizon has produced small lots of mammalian remains. One of these included specimens of a tarsiid primate and a mixodectid. Worthy of mention is the fact that the former represents a third member of the Tarsiidae to be discovered in the e...
متن کاملPaleontology: C. Stock
1 Throughout this paper the term fragment is used to designate a portion of a chromosome resulting from one or more breaks in an original chromosome and having no spindle attachment. The term chromosome is applied to an original chromosome or the part of an original chromosome containing a spindle attachment. 2 Carlson, J. G., Genetics (in press). 3 Mather, K., Proc. Roy. Soc. London, B124, 97-...
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EDITORIAL COMMITTEE: S. NEWCOMB, Mathematics; R. S. WOODWARD, Mechanics; E. C. PICKERING, Astronomy; T. C. MENDENHALL, Physics; R. H. THURSTON, Engineering; IRA RE1MSEN, Chemistry; CHARLES D. WALCOTT, Geology; W. M. DAVIS, Physiography; HENRY F. OsBOBN, Paleontology; W. K. BRoOKS, C. HART MERRIAM, Zoology; S. H. SCUDDER, Entomology; C. E. BESSEY, N. L. BRITTON, Botany ; C. S. MINOT, Embryology,...
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تاریخ انتشار 2005