dc.creator | PIÑA , E. | |
dc.creator | BAUTISTA , G. | |
dc.creator | SOTO , E. | |
dc.date | 2009-10-05 | |
dc.date.accessioned | 2018-03-16T15:44:58Z | |
dc.date.available | 2018-03-16T15:44:58Z | |
dc.identifier | http://ojs.unam.mx/index.php/rmf/article/view/13891 | |
dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/1202122 | |
dc.description | ESTE TRABAJO ESTÁ DEDICADO AL ESTUDIO SISTEMÁTICO DE LAS FÓRMULAS Y TEOREMAS DE ADICIÓN DE LAS FUNCIONES ELÍPTICAS DE JACOBI. DEMOSTRAMOS A PARTIR DE LAS PROPIEDADES FUNDAMENTALES TODAS LAS ECUACIONES CONOCIDAS Y, AL MISMO TIEMPO, CLASIFICAMOS LAS ECUACIONES Y LAS ORDENAMOS EN LA FORMA DE MAYOR UTILIDAD, DE MANERA QUE SE PUEDE DISPONER DE UN FORMULARIO SATISFACTORIO. SE EXPRESAN LOS TEOREMAS DE ADICIÓN CON LENGUAJE VECTORIAL, COMO 5 VECTORES PARALELOS DE DIMENSIÓN 4, Y SE DESCUBREN CON ESTRUCTURA MUY SIMPLE A 16 VECTORES ORTOGONALES A LA DIRECCIÓN ANTERIOR DE LOS 5 VECTORES. SE AGRUPAN LOS 16 EN CONJUNTOS DE CUATRO VECTORES, ORTOGONALES TAMBIÉN A UN VECTOR DE LA BASE ESTÁNDAR. CADA GRUPO DE LOS CUATRO VECTORES ES LINEALMENTE DEPENDIENTE DE DOS VECTORES, CON LO CUAL ASOCIAMOS UN TENSOR ANTISIMÉTRICO A CADA CUARTETO.AbstractTHIS PAPER IS DEDICATED TO THE SYSTEMATIC STUDY OF THE FORMULAE AND ADDITION THEOREMS OF THE JACOBI´S FUNCTIONS. STARTING FROM FUNDAMENTAL PROPERTIES, WE SHOW MOST KNOWN EQUATIONS AND, AT THE SAME TIME, WE CLASSIFY AND SORT THEM IN THE MOST USEFUL FORM, IN ORDER TO GET A SATISFACTORY FORMULARY. THE ADDITION THEOREMS ARE EXPRESSED IN VECTORIAL LANGUAGE, AS FIVE PARALLEL VECTORS IN FOUR DIMENSIONS. WE ALSO DISCOVER 16 ORTHOGONAL VECTORS TO THE ABOVE MENTIONED DIRECTION, WITH A VERY SIMPLE STRUCTURE, NOTWITHSTANDING ONLY THREE OF THEM ARE LINEARLY INDEPENDENT. WE GROUP THEM IN SETS OF FOUR VECTORS, ALSO ORTHOGONAL TO ONE DIFFERENT VECTOR OF THE STANDARD BASIS. IN EACH GROUP OF FOUR VECTORS, ONLY TWO OF THEM ARE LINEARLY INDEPENDENT, THEREFORE WE ASSOCIATE AN ANTISYMMETRIC TENSOR TO EACH QUARTET. | es-ES |
dc.description | THIS PAPER IS DEDICATED TO THE SYSTEMATIC STUDY OF THE FORMULAE AND ADDITION THEOREMS OF THE JACOBI'S FUNCTIONS. STARTING FROM FUNDAMENTAL PROPERTIES, WE SHOW MOST KNOWN EQUATIONS AND, AT THE SAME TIME, WE CLASSIFY AND SORT THEM IN THE MOST USEFUL FORM, IN ORDER TO GET A SATISFACTORY FORMULARY. THE ADDITION THEOREMS ARE EXPRESSED IN VECTORIAL LANGUAGE, AS FIVE PARALLEL VECTORS IN FOUR DIMENSIONS. WE ALSO DISCOVER 16 ORTHOGONAL VECTORS TO THE ABOVE MENTIONED DIRECTION, WITH A VERY SIMPLE STRUCTURE, NOTWITHSTANDING ONLY THREE OF THEM ARE LINEARLY INDEPENDENT. WE GROUP THEM IN SETS OF FOUR VECTORS, ALSO ORTHOGONAL TO ONE DIFFERENT VECTOR OF THE STANDARD BASIS. IN EACH GROUP OF FOUR VECTORS, ONLY TWO OF THEM ARE LINEARLY INDEPENDENT, THEREFORE WE ASSOCIATE AN ANTISYMMETRIC TENSOR TO EACH QUARTET. | en-US |
dc.format | application/pdf | |
dc.language | spa | |
dc.publisher | Revista Mexicana de Física | es-ES |
dc.relation | http://ojs.unam.mx/index.php/rmf/article/view/13891/13228 | |
dc.source | Revista Mexicana de Física; Vol 49, No 003 (2003) | es-ES |
dc.subject | TEOREMAS DE ADICIÓN; FUNCIONES DE JACOBI; RELACIONES DE ORTOGONALIDAD | es-ES |
dc.subject | ADDITION THEOREMS; JACOBI'S FUNCTIONS; ORTHOGONALY RELATIONS | en-US |
dc.title | Formulas teoremas de adición de las funciones elípticas de jacobi | es-ES |
dc.type | Artículos de revistas | |
dc.type | Artículos de revistas | |