Pappus of Alexandria is the last of the great Greek geometers and one of his theorems is cited as the basis of modern projective geometry. |
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He worked on conic sections and produced important theorems in projective geometry. |
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This theorem gave, as a corollary, the complete structure of all finite projective geometries. |
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Geometry had began to lose its 'metric' character with projective and non-euclidean geometries being studied. |
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Under Lane she studied projective differential geometry and submitted her dissertation on Singularities of Space Curves. |
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He united projective geometry and metrical geometry which is dependent on sizes of angles and lengths of lines. |
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After graduating, he continued working for his doctorate at Trinity on projective geometry. |
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It contained a number of projective geometry theorems, including Pascal's mystic hexagon. |
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His most important work was on differential projective geometry where he used the absolute differential calculus. |
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One could certainly consider this work as laying the foundations for the theory of descriptive and projective geometry. |
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Servois worked in projective geometry, functional equations and complex numbers. |
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He also studied projective geometry, algebraic curves and continuous groups in lectures given by Gustav Kohn. |
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He made substantial contributions to projective geometry and wrote an important book on the topic. |
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Enriques was appointed to the University of Bologna where he taught projective geometry and descriptive geometry. |
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When the same questions were asked projectively and subjectively, the questions alternated from projective to subjective. |
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His interests had turned away from affine and projective differential geometry and turned towards Riemannian geometry. |
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This work contains fundamental ideas of projective geometry such as the cross-ratio, perspective, involution and the circular points at infinity. |
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From 1931 to 1937 she studied projective planes introducing Moufang planes and non-associative systems called Moufang loops. |
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In these Brianchon proved several further important results in the projective study of conics. |
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Choice of the proper projective coordinate system permits the reduction of these power series to simple canonical forms. |
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In it he introduced homogeneous coordinates and also discussed geometric transformations, in particular projective transformations. |
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Repressions of the dark aspects of our histories involve projective burdens for our children. |
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The book contains a wealth of information concerning the projective geometry of conics and quadrics. |
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His work in geometry included a study of conics, quadrics and projective geometry. |
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It is a projective test in which pictures of threatening motifs are presented tachistoscopically in standardised low-lighting conditions. |
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D' Ovidio also included in these lectures results of Veronese on projective geometry and of Weierstrass on bilinear and quadratic forms. |
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Through projective identification, the clinging and overtly dependent borderline partner can express the split-off dependency needs of both. |
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He began a teaching career in 1870 in a secondary school in Milan, then two years later he went to the University of Rome to teach descriptive and projective geometry. |
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He was promoted a number of times, to extraordinary professor in differential geometry, then extraordinary professor in projective geometry, then of analytic geometry. |
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Further collaboration with Lie followed and they worked on an investigation of W-curves, curves invariant under a group of projective transformations. |
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A projective matrix is then found through solving an unconstraint complex optimization problem. |
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This latter book develops the subject of projective geometry without using the concept of distance and it bases projective geometry on a minimal set of axioms. |
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This impressive work extended apolarity theory as introduced by Reye to projective geometry in several dimensions using the theory of rational curves. |
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This treatise represented a major step forward in understanding the geometry of perspective and it was a major contribution towards the development of projective geometry. |
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As we have indicated above, Guccia's work was on geometry, in particular Cremona transformations, classification of curves and projective properties of curves. |
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In the second he considers a certain class of surfaces and expresses characteristic properties of these surfaces in terms of standard projective elements. |
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In Catania he taught projective geometry and descriptive geometry. |
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The book shows how this notion can be used to form various kinds of infinities such as the projective plane, transfinite numbers, and infinitesimals. |
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On the basis of current survival rates and the probable mortality trend in the near future, we can estimate projective survival rates. |
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In 2020, demand would amount to only 346 Mtoe and 714 Twh of electricity compared with 458 Mtoe and 920 Twh for the projective scenario. |
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These orbifolds are related to some very special hyperplane arrangements in complex projective spaces. |
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In the new setting, the projective properties of figures can be defined unexceptionably. |
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This includes developing skills in using both objective and projective assessment instruments. |
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To perform the projective transformation which is also called homography the according homography matrix is needed. |
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This of course relates to what Boltanski and Chiapello refer to when describing the development of the projective city. |
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Little by little projective forecasting capabilities have been wisely questioned. |
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He was one of the greatest contributors to projective geometry. |
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His current research activities are in the fields of augmented reality and projective vision. |
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In Undecidable theories Tarski showed that group theory, lattices, abstract projective geometry, closure algebras and others mathematical systems are undecidable. |
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In his early work he investigated quadrics, algebraic curves, complexes, and congruences in the spirit of nineteenth-century projective, metrical, and enumerative geometry. |
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There can be little doubt but that the methods of projective differential geometry will serve to throw a flood of light upon the theory of conjugate triple systems. |
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Later on he looked at such semigroups in more abstract settings and produced some further beautiful results characterising projective mappings and certain geometric objects. |
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The data were compared with sensory data obtained by projective mapping, aroma profile analysis and triangle tests. |
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A pictorial and projective fresco put on canvas in an austere colourism, which evokes the deepest strata of our civilizations, myths and legends, producing a contemporary message, in abstract art. |
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Problems with some technical issues in projective geometry, and the rising standards of rigour at the end of the 19th century provoked attempts to axiomatise the subject. |
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Are the projective sets Lebesgue measurable? |
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New technologies, data sources, and modelling tools allow us to improve the quantitative and projective nature of these approaches by developing decision support tools. |
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To date, integrated landscape management approaches have been applied to landand resource-planning without the use of projective, analytical models. |
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A total of 50 children received psychological attention, involving the establishment of psychological profiles by means of psychometric and projective tests. |
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It is the result of an exceptional know-how, extreme sensitivity, pictorial intelligence, which is finally, offered to the viewer with a potential maximum of projective and sugestion. |
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When the projective rates have been determined, one need only apply them to the current population figures by age or by age group in order to arrive at an estimation of the age structure in future years. |
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In addition, Gerhard Kowol, a mathematician from Vienna, published an introductory volume on projective geometry as a result of a research residency in the Section. |
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This meeting was an evaluative moment, illuminator and projective. |
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Sources said the doctors conducted personality trait test, psychopathology test and projective tests on Tunda. |
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Mathematica covers the Moebius band, projective geometry, probability, topology, and multiplication. |
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Both relations, intention and projective belief, are propositional attitudes. |
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In Section 4 we show that any PMD in which a coplane is not the intersection of two hyperplanes is an extension of a projective plane. |
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To that end, we investigate the projective realization spaces of hypersimplices and their rectangle covering numbers. |
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The problems of determining infinitesimal holomorphically projective transformation on M and T have been considered by several authors. |
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Jacobs' collection will be on view as part of the section, presenting Chinese video art, multi-screen projective installations, animations and monitor works. |
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It is well known that the structure of projective or KEnhler manifolds is governed by positivity or negativity properties of the curvature tensor. |
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But in the lyric, the soliloquy is the norm, and many conversations are imaginary, notably in the projective modes of apostrophe and prosopopoeia. |
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