Module 1 Topic F (Parent Letter)
... Application Problems and Answers (cont.) The price of most milk in 2013 was around $3.28. This is eight times as much as you would have probably paid for a gallon of milk in the 1950’s. What was the cost for a gallon of milk during the 1950’s? Use the tape diagram to show your calculations. (A tape ...
... Application Problems and Answers (cont.) The price of most milk in 2013 was around $3.28. This is eight times as much as you would have probably paid for a gallon of milk in the 1950’s. What was the cost for a gallon of milk during the 1950’s? Use the tape diagram to show your calculations. (A tape ...
Existence and uniqueness results for the continuity equation and
... In the previous expression, (t, x) ∈ [0, +∞[×R and u1 and u2 are both real valued functions. The analysis of (3.1) is motivated by the study of the two-component chromatography (see e.g. Bressan [12, page 102]) and hence one is usually interested in finding nonnegative solutions, u1 ≥ 0 and u2 ≥ 0. ...
... In the previous expression, (t, x) ∈ [0, +∞[×R and u1 and u2 are both real valued functions. The analysis of (3.1) is motivated by the study of the two-component chromatography (see e.g. Bressan [12, page 102]) and hence one is usually interested in finding nonnegative solutions, u1 ≥ 0 and u2 ≥ 0. ...
Analytical Solutions to Fragmentation Equations with Flow
... The kinetics of fragmentation processes for batch systems have been studied in depth. In this note, we develop the formal solution of the breakup population balance equation for flow systems with inflow and removal. To allow explicit solutions, we approximate physical breakup mechanisms by simple br ...
... The kinetics of fragmentation processes for batch systems have been studied in depth. In this note, we develop the formal solution of the breakup population balance equation for flow systems with inflow and removal. To allow explicit solutions, we approximate physical breakup mechanisms by simple br ...
Mathematical optimization
In mathematics, computer science and operations research, mathematical optimization (alternatively, optimization or mathematical programming) is the selection of a best element (with regard to some criteria) from some set of available alternatives.In the simplest case, an optimization problem consists of maximizing or minimizing a real function by systematically choosing input values from within an allowed set and computing the value of the function. The generalization of optimization theory and techniques to other formulations comprises a large area of applied mathematics. More generally, optimization includes finding ""best available"" values of some objective function given a defined domain (or a set of constraints), including a variety of different types of objective functions and different types of domains.