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DoD MS Human Capital Strategy 20101202 - Modeling & Simulation ...

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KNOWLEDGE AREA<br />

Description<br />

Prepare to Use <strong>Simulation</strong><br />

Mathematics<br />

Dynamic The dynamical system concept is a mathematical<br />

formalization for any fixed "rule" which describes<br />

the time dependence of a point's position in its<br />

ambient space. The mathematical models used to<br />

describe the swinging of a clock pendulum, the<br />

flow of water in a pipe or the number of fish each<br />

spring in a lake are examples of dynamical<br />

systems.<br />

Discrete Event <strong>Simulation</strong> In discrete event simulation, the operation of a<br />

system is represented as a chronological sequence<br />

of events. Each event occurs at an instant in time<br />

and marks a change of state in the system<br />

Numerical Analysis Study of algorithms for the problems of continuous<br />

mathematics (as distinguished from discrete<br />

mathematics)<br />

Linear algebra Branch of mathematics concerned with the study<br />

of vectors, vector spaces (also called linear spaces),<br />

linear maps (also called linear transformations) and<br />

systems of linear equations. Vector spaces are a<br />

central theme in modern mathematics; thus, linear<br />

algebra is widely used in both abstract algebra and<br />

functional analysis. Linear algebra also has a<br />

concrete representation in analytic geometry and it<br />

is generalized in operator theory. It has extensive<br />

applications in the natural sciences and the social<br />

sciences, since nonlinear models can often be<br />

approximated by a linear one.<br />

Boolean algebra A Boolean algebra is an algebraic structure that<br />

captures essential properties of both set operations<br />

and logic operations. Specifically, it deals with the<br />

set operations of intersection, union, complement<br />

and the logic operations of AND, OR and NOT.<br />

Boolean Algebras are commonly studied in<br />

abstract algebra.<br />

36

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