MRB constant (original) (raw)
The MRB constant is a mathematical constant, with decimal expansion 0.187859… (sequence in the OEIS). The constant is named after its discoverer, Marvin Ray Burns, who published his discovery of the constant in 1999. Burns had initially called the constant "rc" for root constant but, at Simon Plouffe's suggestion, the constant was renamed the 'Marvin Ray Burns's Constant', or "MRB constant". The MRB constant is defined as the upper limit of the partial sums The constant relates to the divergent series:
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| dbo:abstract | The MRB constant is a mathematical constant, with decimal expansion 0.187859… (sequence in the OEIS). The constant is named after its discoverer, Marvin Ray Burns, who published his discovery of the constant in 1999. Burns had initially called the constant "rc" for root constant but, at Simon Plouffe's suggestion, the constant was renamed the 'Marvin Ray Burns's Constant', or "MRB constant". The MRB constant is defined as the upper limit of the partial sums As grows to infinity, the sums have upper and lower limit points of −0.812140… and 0.187859…, separated by an interval of length 1. The constant can also be explicitly defined by the following infinite sums: The constant relates to the divergent series: There is no known closed-form expression of the MRB constant, nor is it known whether the MRB constant is algebraic, transcendental or even irrational. (en) La constante MRB (ou constante de Marvin Ray Burns) est une constante mathématique de premières décimales 0,187859… suite de l'OEIS. La constante porte le nom de Marvin Ray Burns qui l'a découverte, et a publié sa découverte en 1999. Burns a initialement nommé cette constante "rc" pour root constant (constante de la racine en français) mais, sur la suggestion de Simon Plouffe, la constante a été renommée. La constante MRB est définie comme la limite supérieure de la somme partielle Quand tend vers l'infini, cette somme a pour limites inférieure et supérieure −0,812140… et 0,187859…, séparées par un segment de longueur 1. La constante peut aussi être explicitée comme somme de série semi-convergente : Il n'y a pas d'expression de forme fermée de la constante MRB, et on ne sait rien de l'algébricité, de la transcendance, ni même de l'irrationalité de la constante MRB. (fr) |
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| rdfs:comment | The MRB constant is a mathematical constant, with decimal expansion 0.187859… (sequence in the OEIS). The constant is named after its discoverer, Marvin Ray Burns, who published his discovery of the constant in 1999. Burns had initially called the constant "rc" for root constant but, at Simon Plouffe's suggestion, the constant was renamed the 'Marvin Ray Burns's Constant', or "MRB constant". The MRB constant is defined as the upper limit of the partial sums The constant relates to the divergent series: (en) La constante MRB (ou constante de Marvin Ray Burns) est une constante mathématique de premières décimales 0,187859… suite de l'OEIS. La constante porte le nom de Marvin Ray Burns qui l'a découverte, et a publié sa découverte en 1999. Burns a initialement nommé cette constante "rc" pour root constant (constante de la racine en français) mais, sur la suggestion de Simon Plouffe, la constante a été renommée. La constante MRB est définie comme la limite supérieure de la somme partielle (fr) |
| rdfs:label | Constante MRB (fr) MRB constant (en) |
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