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In mathematics, "rational" is often used as a noun abbreviating "rational number". The adjective rational sometimes means that the coefficients are rational numbers. For example, a rational point is a point with rational coordinates (i.e., a point whose coordinates are rational numbers); a rational matrix is a matrix of rational numbers; a rational polynomial may be a polynomial with rational ...
The real numbers form a metric space: the distance between x and y is defined as the absolute value |x − y|. By virtue of being a totally ordered set, they also carry an order topology ; the topology arising from the metric and the one arising from the order are identical, but yield different presentations for the topology—in the order ...
In algebra, the rational root theorem (or rational root test, rational zero theorem, rational zero test or p/q theorem) states a constraint on rational solutions of a polynomial equation + + + = with integer coefficients and ,.
At a 29 September 2007 meeting in the auditorium of the Casa de Campo in Madrid, the new party was formed under the name of Union, Progress and Democracy. Participants in its formation included Catalan dramatist Albert Boadella , Basque philosopher Fernando Savater , Peruvian writer Mario Vargas Llosa and Rosa Díez .