ALGEBRO-GEOMETRIC CONSTRUCTIONS: FUNDAMENTALS, ALGORITHMS AND APPLICATIONS (Q3141540): Difference between revisions
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(Created claim: summary (P836): UNDER THE TERM ALGEBRO-GEOMETRIC CONSTRUCTIONS IS INCLUDED A WIDE COLLECTION OF MATHEMATICAL OBJECTS THAT ARE SUSCEPTIBLE, UNDER CERTAIN HYPOTHESES, TO AN ALGORITHMIC OR COMPUTATIONAL TREATMENT. THIS TREATMENT NOT ONLY HAS PRACTICAL IMPLICATIONS BUT IN MANY CASES ALLOWS TO DEEPEN THE PURELY MATHEMATICAL UNDERSTANDING OF THE OBJECT UNDER CONSIDERATION. _x000D_ _x000D_ in this project under the definition of algebro-GEOMETRIC CONSTRUCTIONS CONSIDE...) |
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ALGEBRO-GEOMETRIC CONSTRUCTIONS: FUNDAMENTALS, ALGORITHMS AND APPLICATIONS | |||
Revision as of 13:16, 12 October 2021
Project Q3141540 in Spain
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | ALGEBRO-GEOMETRIC CONSTRUCTIONS: FUNDAMENTALS, ALGORITHMS AND APPLICATIONS |
Project Q3141540 in Spain |
Statements
72,902.5 Euro
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145,805.0 Euro
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50.0 percent
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1 January 2015
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30 April 2018
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UNIVERSIDAD DE CANTABRIA
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43°27'43.34"N, 3°48'35.89"W
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39075
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BAJO LA DENOMINACION CONSTRUCCIONES ALGEBRO-GEOMETRICAS SE INCLUYE UNA AMPLIA COLECCION DE OBJETOS MATEMATICOS QUE SON SUSCEPTIBLES, BAJO CIERTAS HIPOTESIS, DE UN TRATAMIENTO ALGORITMICO O COMPUTACIONAL. ESTE TRATAMIENTO NO SOLO TIENE IMPLICACIONES PRACTICAS SINO QUE EN MUCHOS CASOS PERMITE PROFUNDIZAR EN LA COMPRENSION PURAMENTE MATEMATICA DEL OBJETO CONSIDERADO. _x000D_ _x000D_ EN ESTE PROYECTO BAJO LA DENOMINACION DE CONSTRUCCIONES ALGEBRO-GEOMETRICAS CONSIDERAREMOS EL ESTUDIO DE LAS VARIEDADES ALGEBRAICAS, EL TRATAMIENTOS DE LOS LUGARES GEOMETRICOS EN EL CONTEXTO DE LA GEOMETRIA DINAMICA, LA MANIPULACION DE LAS CURVAS Y SUPERFICIES DE USO HABITUAL EN DISEÑO GEOMETRICO ASISTIDO POR ORDENADOR Y LOS SISTEMAS DE ECUACIONES ALGEBRAICAS, JUNTO CON LA GEOMETRIA SUBYACENTE, DETRAS DEL CALCULO DE LA POSICION Y EL RUMBO EN LOS SISTEMAS GLOBALES DE NAVEGACION POR SATELITE._x000D_ _x000D_ EN ESTE PROYECTO NOS CENTRAREMOS EN PRIMER LUGAR EN PROFUNDIZAR EN LOS FUNDAMENTOS DETRAS DEL TRATAMIENTO COMPUTACIONAL DE ESTAS CONSTRUCCIONES ALGEBRO-GEOMETRICAS, CONSIDERADAS COMO VARIEDADES ALGEBRAICAS, DESDE DIFERENTES PERSPECTIVAS (SIMBOLICA, NUMERICA, HIBRIDA, GEOMETRICA, ETC.) Y EN LAS HERRAMIENTAS QUE PROPORCIONAN. ESTAS HERRAMIENTAS SERAN UTILIZADAS PARA ABORDAR EL ESTUDIO DE CONSTRUCCIONES GEOMETRICAS ESPECIFICAS COMO PUEDEN SER LAS OFFSETS, LAS BISETRICES Y UN LARGO ETC. FINALMENTE LAS HERRAMIENTAS DESARROLLADAS JUNTO CON EL ESTUDIO REALIZADO CONFLUYEN EN EL DESARROLLO DE NUEVAS TECNICAS EN GEOMETRIA DINAMICA Y EN LA MODELIZACION DE LOS SISTEMAS GLOBALES DE NAVEGACION POR SATELITE. (Spanish)
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UNDER THE TERM ALGEBRO-GEOMETRIC CONSTRUCTIONS IS INCLUDED A WIDE COLLECTION OF MATHEMATICAL OBJECTS THAT ARE SUSCEPTIBLE, UNDER CERTAIN HYPOTHESES, TO AN ALGORITHMIC OR COMPUTATIONAL TREATMENT. THIS TREATMENT NOT ONLY HAS PRACTICAL IMPLICATIONS BUT IN MANY CASES ALLOWS TO DEEPEN THE PURELY MATHEMATICAL UNDERSTANDING OF THE OBJECT UNDER CONSIDERATION. _x000D_ _x000D_ in this project under the definition of algebro-GEOMETRIC CONSTRUCTIONS CONSIDERING THE STUDY OF ALGEBRAICAS VARIEDADES, THE TREATMENTS OF GEOMETRIC PLACES IN THE CONTEXT OF THE DINAMIC GEOMETRY, the MANIPULATION OF THE CURVAS AND SUPERFICIES OF HABITUAL USE IN GEOMETRIC DESIGN ASSISTANCE BY ORDENATOR AND ALGEBRAICAS ECU SYSTEMS, together with the subjugating GEOMETRIA, OTHER OF THE POSICTIONAL QALK AND RUMBER IN THE GLOBAL SYSTEMS OF NAVEGATION BY SATELITE._x000D__x000D_ _x000D_ IN THIS PROJECT we will focus on the first place in developing in the fundaments behind the competitive treatment of these algebro-GEOMETRIC CONSTRUCTIONS, CONSIDERATE AS ALGEBRAICAS VARIEDADES, FROM PERSPECTIVE DIFFERENTS (SIMBOLICA, NUMERICA, HIBRIDA, GEOMETRICA, ETC.) and on the tools that they develop. THESE TOOLS WILL BE USED TO ADDRESS THE STUDY OF SPECIFIC GEOMETRIC CONSTRUCTIONS SUCH AS OFFSETS, BISETRICS AND A LONG ETC. FINALLY THE TOOLS DEVELOPED TOGETHER WITH THE STUDY CONVERGE ON THE DEVELOPMENT OF NEW TECHNIQUES IN DYNAMIC GEOMETRIA AND IN THE MODELLING OF GLOBAL SATELLITE NAVIGATION SYSTEMS. (English)
12 October 2021
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Santander
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Identifiers
MTM2014-54141-P
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