Imperative Functional Programming
... Our intuitive idea of a function is that it describes the dependence of one quantity upon another. There is no condition on what kind of quantities are involved. They could be integers, Turing machines, binary search trees, window hierarchies, digital circuits or whatever. The possibilities are endl ...
... Our intuitive idea of a function is that it describes the dependence of one quantity upon another. There is no condition on what kind of quantities are involved. They could be integers, Turing machines, binary search trees, window hierarchies, digital circuits or whatever. The possibilities are endl ...
Differential Equations
... 4.1 Definitions and Examples A second order differential equation is an equation involving the independent variable t, and an unknown function or dependent variable y = y(t) along with its first and second derivatives. We will assume that it is always possible to solve for the second derivative so ...
... 4.1 Definitions and Examples A second order differential equation is an equation involving the independent variable t, and an unknown function or dependent variable y = y(t) along with its first and second derivatives. We will assume that it is always possible to solve for the second derivative so ...
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.