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2. Greedy algorithm for Egyptian fractions - Wikipedia

   en.wikipedia.org/wiki/Greedy_algorithm_for...

   In mathematics, the greedy algorithm for Egyptian fractions is a greedy algorithm, first described by Fibonacci, for transforming rational numbers into Egyptian fractions. An Egyptian fraction is a representation of an irreducible fraction as a sum of distinct unit fractions, such as 5 6 = 1 2 + 1 3. As the name indicates, these representations ...

3. Egyptian fraction - Wikipedia

   en.wikipedia.org/wiki/Egyptian_fraction

   An Egyptian fraction is a finite sum of distinct unit fractions, such as. That is, each fraction in the expression has a numerator equal to 1 and a denominator that is a positive integer, and all the denominators differ from each other. The value of an expression of this type is a positive rational number ; for instance the Egyptian fraction ...

4. Continued fraction - Wikipedia

   en.wikipedia.org/wiki/Continued_fraction

   A finite regular continued fraction, where is a non-negative integer, is an integer, and is a positive integer, for . In mathematics, a continued fraction is an expression obtained through an iterative process of representing a number as the sum of its integer part and the reciprocal of another number, then writing this other number as the sum ...

5. Ancient Egyptian mathematics - Wikipedia

   en.wikipedia.org/wiki/Ancient_Egyptian_mathematics

   Ancient Egyptian mathematics is the mathematics that was developed and used in Ancient Egypt c. 3000 to c. 300 BCE, from the Old Kingdom of Egypt until roughly the beginning of Hellenistic Egypt. The ancient Egyptians utilized a numeral system for counting and solving written mathematical problems, often involving multiplication and fractions.

6. Pell's equation - Wikipedia

   en.wikipedia.org/wiki/Pell's_equation

   Pell's equation for n = 2 and six of its integer solutions. Pell's equation, also called the Pell–Fermat equation, is any Diophantine equation of the form where n is a given positive nonsquare integer, and integer solutions are sought for x and y. In Cartesian coordinates, the equation is represented by a hyperbola; solutions occur wherever ...

7. Linear-fractional programming - Wikipedia

   en.wikipedia.org/wiki/Linear-fractional_programming

   Formally, a linear-fractional program is defined as the problem of maximizing (or minimizing) a ratio of affine functions over a polyhedron , where represents the vector of variables to be determined, and are vectors of (known) coefficients, is a (known) matrix of coefficients and are constants. The constraints have to restrict the feasible ...