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On P-points over a measurable cardinal
Journal of Symbolic Logic, 1981This paper continues the study of κ-ultrafilters over a measurable cardinal κ, following the sequence of papers Ketonen [2], Kanamori [1] and Menas [4]. Much of the concern will be with p-point κ-ultrafilters, which have become a focus of attention because they epitomize situations of further complexity beyond the better understood cases, normal and ...
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Borges, the Aleph, and Other Cardinal Points
Review: Literature and Arts of the Americas, 2005Translated by Alfred Mac Adam Lisa Block de Behar, born in Montevideo, is the author of A Rhetoric of Silence and Other Selected Writings, Dos medios entre dos medios, Una palabra propiamente dicha...
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Cardinal points and generalizations.
Ophthalmic & physiological optics : the journal of the British College of Ophthalmic Opticians (Optometrists), 2011In the presence of astigmatism a focal point typically becomes the well-known interval of Sturm with its pair of axially-separated orthogonal line singularities. The same is true of nodal points except that the issues are more complicated: a nodal point may become a nodal interval with a pair of nodal line singularities, but they are not generally ...
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Cardinal Points and Image Equations
20162 × 2 raytracing matrices are extremely useful in geometrical optics. In this chapter, the 2 × 2 raytracing matrix approach is used to describe the path of a paraxial meridional ray traveling along the \( {\text{y}}_{0} {\text{z}}_{0} \) plane through an axis-symmetrical system possessing multiple boundary surfaces.
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Supercompact cardinals, elementary embeddings and fixed points
Journal of Symbolic Logic, 1982Supercompactness is usually defined in terms of the existence of certain ultrafilters. By the well-known procedure of taking ultrapowers of V (the universe of sets) and transitive collapses, one obtains transitive inner models of V and corresponding elementary embeddings from V into these inner models.
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Japanese Names for the Four Cardinal Points
Bulletin of the School of Oriental and African Studies, 1933In 1925 P. Pelliot drew a very interesting comparison between the Mongol and the Tungus names for the four cardinal points. This comparison was followed by S. M. ShirokogorofFs detailed study of the Northern Tungus terms of orientation, to which W. Kotwicz added a short note on the Mongol terms.
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A MEMORY SCHEME FOR THE CARDINAL POINTS
Archives of Ophthalmology, 1939Every optical system has six important points, called cardinal points, associated with, and inherent in, the system. These are two principal focal points, F1and F2, two principal points, P1and P2, and two nodal points, N1and N2. In the simplest optical system, such as a curved spherical mirror, these six cardinal points are reduced to three, as each ...
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On the cardinal points in plane kinematics
Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1951In the elementary theory of geometrical optics all the non-aberration properties of the symmetrical optical system may be derived from the three pairs of cardinal points, due to Gauss, of which two pairs only are independent. And it is the case, in the general theory of plane kinematics, that there are certain points playing a somewhat ...
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