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**rational****number**is a**number**that can be expressed as a fraction p/q where p and q are integers and q!=0. A**rational****number**p/q is said to have numerator p and denominator ...The word "number" is a general term which refers to a member of a given (possibly ordered) set. The meaning of "number" is often clear from context (i.e., does it refer to a ...

Somos defines a

**rational**triangle as a triangle such that all three sides measured relative to each other are**rational**. Koblitz (1993) defined a congruent**number**as an ...If alpha is any

**number**and m and n are integers, then there is a**rational****number**m/n for which |alpha-m/n|<=1/n. (1) If alpha is irrational and k is any whole**number**, there ...**Rational**numbers are countable, so an order can be placed on them just like the natural numbers. Although such an ordering is not obvious (nor unique), one such ordering can ...

A quotient of two polynomials P(z) and Q(z), R(z)=(P(z))/(Q(z)), is called a

**rational**function, or sometimes a**rational**polynomial function. More generally, if P and Q are ...A

**rational**polynomial is a polynomial having**rational**coefficients. While the term "**rational**polynomial" is sometimes used as a synonym for**rational**function, this usage is ...A synonym for integer. The word "rational" is sometimes used for emphasis to distinguish it from other types of "integers" such as cyclotomic integers, Eisenstein integers, ...

It is possible to find six points in the plane, no three on a line and no four on a circle (i.e., none of which are collinear or concyclic), such that all the mutual ...

A K-

**rational**point is a point (X,Y) on an algebraic curve f(X,Y)=0, where X and Y are in a field K. For example,**rational**point in the field Q of ordinary**rational**numbers is ......