CASA Computer Algebra Software for constructive Algebraic geometry. Designed for performing computations and reasoning about geometric objects in classical algebraic geometry, in particular affine and projective algebraic geometry over an algebraically closed field of characteristic 0. http://www.risc.uni-linz.ac.at/software/casa/
Extractions: CASA is a special-purpose system for computational algebra and constructive algebraic geometry. The system has been developed since 1990. CASA is the ongoing product of the Computer Algebra Group at the Research Institute for Symbolic Computation (RISC-Linz), the University of Linz, Austria, under the direction of Prof. Winkler. The system is built on the kernel of the widely used computer algebra system Maple. Introduction Requirements, Distribution And Contact CASA: A Quick Tour What Is New ... Bibliography
Computational Geometry Impact Task Force Report Computational geometry Impact Task Force Report, chaired by Bernard Chazelle, about the relation between computational geometry and various application fields. This page also archives the discussion that it caused (which was intended) and related links. http://compgeom.cs.uiuc.edu/~jeffe/compgeom/taskforce.html
Extractions: Impact Task Force Report In April 1996, Bernard Chazelle 's Computational Geometry Impact Task Force published a report entitled "Application Challenges to Computational Geometry" . Anyone interested in computational geometry or geometric computing is strongly encouraged to read it! Soon after the report's publication, comments by David Avis and Komei Fukuda sparked a lively discussion on the compgeom-discuss mailing list of some of the issues raised in the impact report. The same issues are still being discussed at computational geometry meetings - at SoCG 1998 , for example, there was a panel discussion on "The Theory/Applications Interface" - but activity on the mailing lists has died off. Archives of the discussion at Bell Labs Archives of the discussion [Many of the hypertext links in the following messages no longer work. -Jeff]
Extractions: The contents of this paper include: The Projective Plane; Projective Space; Projective Geometry Applied to Computer Vision; Demonstration of Cross Ratio in P^1; and a bibliography. (Euclidean geometry is a subset of projective geometry, and there are two geometries between them: similarity and affine.) Also at http://vision.stanford.edu/~birch/projective/. more>> Projective Geometry - Nick Thomas Basics, path curves, counter space, pivot transforms, and some people involved in the development of projective geometry, which is concerned with incidences: where elements such as lines planes and points either coincide or not. For example, Desargues Theorem says that if corresponding sides of two triangles meet in three points lying on a straight line, then corresponding vertices lie on three concurrent lines. The converse is also true: if corresponding vertices lie on concurrent lines, then corresponding sides meet in collinear points. This illustrates a fact about incidences and has nothing to say about measurements, which is characteristic of pure projective geometry. Projective geometry regards parallel lines as meeting in an ideal point at infinity. more>> PyGeo - Arthur Siegel A dynamic geometry toolset written in Python, with dependencies on Python's Numeric and VPython extensions. It defines a set of geometric primitives in 3d space and allows for the construction of geometric models that can be manipulated interactively, while defined geometric relationships remain invariant. It is particularly suitable for the visualization of concepts of Projective Geometry. PyGeo comes with complete source code.
Extractions: Projective geometry is a beautiful subject which has some remarkable applications beyond those in standard textbooks. These were pointed to by Rudolf Steiner who sought an exact way of working scientifically with aspects of reality which cannot be described in terms of ordinary physical measurements. His colleague George Adams worked out much of this and pointed the way to some remarkable research done by Lawrence Edwards in recent years. Steiner's spiritual research showed that there is another kind of space in which more subtle aspects of reality such as life processes take place. Adams took his descriptions of how this space is experienced and found a way of specifying it geometrically, which is dealt with in the Counter Space Page A brief introduction to the basics of the subject is given in the Basics Page
Analitik Geometri - Vikipedi Online ansiklopedi Wikipedia n n analitik geometri b l m . http://tr.wikipedia.org/wiki/Analitik_geometri
Extractions: Vikipedi, özgür ansiklopedi Git ve: kullan ara Geometri konuları Genel Geometri Diğer Analitik geometri Osmanlıca Tahlili hendese, Fransızca Géometri analytique ), Geometrik çalışmaya cebrik analizi tatbik eden ve cebrik problemlerin çözümünde geometrik kavramları kullanan bir matematik dalı. Bütün bunlar kartezyen sistem denilen bir koordinat sisteminin kullanılmasıyla mümkündür. Kartezyen kelimesi, batıda analitik geometride ilk bilimsel çalışmayı yapan René Descartes 'tan gelmektedir. Fransız düşünürü Descartes 'ın çok önemli bir buluşudur. Descartes'a gelinceye kadar geometri problemleri ayrı ayrı yöntemlerle, sistemsiz olarak ve anlak gücüyle çözümleniyordu. Descartes'ın Kartezyen koordinat sistemini kullanarak ve cebir dilini geometriye uygulayarak bulduğu bu yöntemle geometri problemleri cebir denklemelerine çevrildi ve cebirle çözümlendikten sonra geometri diliyle açıklandı. Birçok fizik probleminin çözümü de bu yöntemle kolaylaşmış oldu. Uzay analitik geometride temel bir konu, bir eğrinin veya belirli şartlar altında herhangi bir doğru veya noktanın kendi hareketiyle meydana getirdiği yüzeyin denklemidir. Denklem, eğriyi meydana getiren her bir nokta kümesi tarafından sağlanan sayısal terimlerle ifade edilir. r, dairenin yarıçapı ise daire denklemi:
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