Math, Statistics, and Physics Concepts Matching Quiz

Linear programming = Optimization technique for finding the best outcome in a mathematical model Quadratic equation = Second-degree polynomial equation with the form ax^2 + bx + c = 0 Matrix multiplication = Operation where each element of a row in the first matrix is multiplied by each element of a column in the second matrix and then summed Exponential function = Mathematical function of the form f(x) = a^x, where 'a' is a positive constant

Mean = Average value of a set of numbers Standard deviation = Measure of the amount of variation or dispersion in a set of values Regression analysis = Statistical process for estimating the relationships among variables Hypothesis testing = Statistical method used to make inferences about a population parameter based on sample data

Newton's second law = The force acting on an object is equal to the mass of the object multiplied by its acceleration Ohm's law = The current through a conductor between two points is directly proportional to the voltage across the two points Snell's law = Describes how light bends when passing from one medium to another Conservation of energy = Energy cannot be created or destroyed, only transformed from one form to another

<p>Maximizing or minimizing a linear function</p> Signup and view all the answers

<p>A solution that satisfies all the constraints</p> Signup and view all the answers

<p>Constraint polygon</p> Signup and view all the answers

<p>A function representing the decision variables</p> Signup and view all the answers

<p>Objective function = The equation to be maximized or minimized in a linear programming problem Feasible solution = A solution that satisfies all constraints in a linear programming problem Constraints = Limitations or restrictions on the decision variables in a linear programming problem Optimization = The process of finding the best solution to a linear programming problem</p> Signup and view all the answers

<p>Decision variables = Variables representing choices to be made in a linear programming problem Shadow prices = The change in the value of the objective function per unit increase in the right-hand side of a constraint Sensitivity analysis = The study of how changes in the coefficients of the objective function affect the optimal solution Degeneracy = A situation where the same basic feasible solution is obtained repeatedly in a linear programming problem</p> Signup and view all the answers

<p>Simplex method = An iterative procedure for solving linear programming problems by moving from one feasible solution to another, improving the value of the objective function at each step Interior point method = An approach that finds an optimal solution by moving through the interior of the feasible region Duality theory = The study of relationships between primal and dual linear programming problems, providing alternative ways to solve and interpret these problems Branch and bound = A method for solving integer linear programming problems by iteratively partitioning the feasible region into smaller subregions</p> Signup and view all the answers

<p>Integer programming = Linear programming problems where decision variables are required to be integers Network flow problems = Linear programming problems that involve optimizing the flow through a network, such as transportation or assignment problems Stochastic programming = Linear programming problems that incorporate uncertainty through probabilistic constraints or random variables Multi-objective programming = Linear programming problems involving multiple conflicting objectives, leading to a set of optimal solutions known as Pareto optimal solutions</p> Signup and view all the answers