constraint

(noun)

A condition that a solution to a problem must satisfy.

Related Terms

  • the simplex metho
  • canonical form
  • the simplex method
  • objective function
  • pivot
  • linear equation
  • system of equations
  • ordered pair

Examples of constraint in the following topics:

  • Applications of Systems of Equations

    • Systems of equations can be used to solve many real-life problems in which multiple constraints are used on the same variables.
    • A system of equations can be used to solve a planning problem where there are multiple constraints to be taken into account:
    • There is a constraint limiting the total number of people in attendance to $56$, so:
  • Application of Systems of Inequalities: Linear Programming

    • Linear programming involves finding an optimal solution for a linear equation, given a number of constraints.
    • Then, we can write two linear inequalities where three variables must be non-negative, and all constraints must be satisfied. 
    • Where $x=[x_{1}, x_{2},..., x_{n}]^{T}$ are the variables, $c=[c_{1}, c_{2},..., c_{n}]$ are the coefficients of the objective function, A is the left-side of the constraints, and $b=[b_{1}, b_{2},..., b_{p}]^{T}$ the right.
    • where the first row defines the objective function and the remaining rows specify the constraints.
  • Applications and Mathematical Models

    • Systems of linear equations are common in science and mathematics, including Physics, Chemistry and maximization/minimization and constraint problems.
  • Relative Minima and Maxima

    • Minima and maxima are used heavily in optimization problems and artificial intelligence where, given a number of constraints on resources, we want the best use of our resources.
  • Integer Coefficients and the Rational Zeros Theorem

    • In algebra, the Rational Zero Theorem, or Rational Root Theorem, or Rational Root Test, states a constraint on rational solutions (also known as zeros, or roots) of the polynomial equation
  • Fitting a Curve

    • Curve fitting is the process of constructing a curve, or mathematical function, that has the best fit to a series of data points, possibly subject to constraints.
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