fraktlösning

Fraktlösning, also known as fractional solution or fractional answer, is a concept in mathematics, particularly in the context of linear programming and systems of linear equations. It refers to a solution where one or more variables take on non-integer values, even though the coefficients and constants in the equations are integers.

In a system of linear equations, a fractional solution occurs when the equations are inconsistent or dependent, leading to an infinite number of solutions. In linear programming, a fractional solution can occur when the constraints are not tight enough to force integer values for the variables.

Fraktlösning is distinct from integer programming, where the goal is to find integer solutions to a set of linear equations or inequalities. In contrast, fractional solutions are acceptable in these contexts, and the focus is on finding any solution that satisfies the given constraints.

Fraktlösning can be challenging to work with, as it may require additional techniques to interpret and use the results. However, it is an important concept in mathematics and has applications in various fields, including economics, engineering, and computer science.