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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 Book on Numbers and Computation and the Nine Chapters on the Mathematical Art include exercises that are exemplars of linear algebra. [ 11 ] In about 980 Al-Sijzi wrote his Ways of Making Easy the Derivation of Geometrical Figures , which was translated and published by Jan Hogendijk in 1996.
In number theory, the study of Diophantine approximation deals with the approximation of real numbers by rational numbers.It is named after Diophantus of Alexandria.. The first problem was to know how well a real number can be approximated by rational numbers.
An algebraic number is any complex number that is a solution to some polynomial equation () = with rational coefficients; for example, every solution of + (/) + = (say) is an algebraic number. Fields of algebraic numbers are also called algebraic number fields , or shortly number fields .
Such a number is algebraic and can be expressed as the sum of a rational number and the square root of a rational number. Constructible number: A number representing a length that can be constructed using a compass and straightedge. Constructible numbers form a subfield of the field of algebraic numbers, and include the quadratic surds.
Rational number arithmetic is the branch of arithmetic that deals with the manipulation of numbers that can be expressed as a ratio of two integers. [93] Most arithmetic operations on rational numbers can be calculated by performing a series of integer arithmetic operations on the numerators and the denominators of the involved numbers.
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