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Showing 1 to 10 of 10 for “"Analytic Geometry"”.
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A Method of Coordinatizing an Affine Geometry
The union of geometry and algebra was initiated in an appendix to Discours de la methode, written by Rene Descartes. It was the first work to use a coordinate system for the study of geometry. This first treatment of analytic geometry assumed that the points of a line in a Euclidean space are in …
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A syllabus of line geometry
<p>In the study of advanced geometry, we shall deal with a certain important relation between pairs of figures in space, and also between their properties. There are two distinct parts to analytic geometry, the analytic work and the geometric interpretation. Two systems of geometry, depending upon …
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Contributions to the Model Theory of Fields and Compact Complex Spaces
… been applied to algebraic rather than analytic geometry, it has been observed that these techniques are also meaningful when applied to compact complex analytic spaces. One obstacle is that these structures are not saturated in the natural language of their analytic sets. The notion of …
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Geometria Analítica com o Geogebra: adaptando o livro didático para ensinar através da Resolução de Problemas.
… software to the process of solving problems in Analytic Geometry in high school. As theoretical framework we consulted the book Didática da resolução de problemas de Matemática (DANTE 2000) and the textbook Matemática Contexto & Aplicações (DANTE, 2010). We also used national reference to the …
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Realising The Smooth Representations Of GL2(O_F) Using p-adic Geometric Methods
… group GL_2(OO_F) using the theory of dagger analytic geometry developed by Grosse-Kl\"onne [GK00]. For a locally profinite group G that acts continuously on a smooth dagger space X we adapt the techniques of Ardakov and Wadsley from [AW24] in order to develop a theory of G-equivariant vector …
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Analysis Driven Shape Design of Parametric Geometry Using B-Splines and Free-Form Deformation
… shape optimization to morph parametric geometry. The goal is a general framework for analysis driven shape design that combines CAD-like parametric solid model geometry construction with free-form-like local deformation. One method explored uses the control point locations of certain …
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Rigid Analytic Quantum Groups
Following constructions in rigid analytic geometry, we introduce a theory of $p$-adic analytic quantum groups. We first define Fréchet completions $\wideparen{U_q(\mathfrak{g})}$ and $\wideparen{\mathcal{O}_q(G)}$ of the quantized enveloping algebra of a semisimple Lie algebra $\mathfrak{g}$ and …
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D-cap modules on rigid analytic spaces
Following the notion of $p$-adic analytic differential operators introduced by Ardakov--Wadsley, we establish a number of properties for coadmissible $\wideparen{\mathcal{D}}$-modules on rigid analytic spaces. Our main result is a $\wideparen{\mathcal{D}}$-module analogue of Kiehl's Proper Mapping …
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To What Extent Does a Relationship Exist Between NonSupport and Support Students When They are Grouped Homogeneously and Heterogeneously in the Student's Mathematics Course at Lee County High School
… on the student’s 2014-15 Georgia Milestone Analytic Geometry End-of-Course assessment. This State assessment served as the dependent variable and the student grouping practice served as the independent variable for this quasi-experimental design study. Student schedules were examined and the …