PowerPoint Presentation 11: Algebra
... object. The perimeter of a rectangle equals twice its length (l) plus twice its width (w). The perimeter of a rectangle expressed as a formula is P = 2l + 2w ...
... object. The perimeter of a rectangle equals twice its length (l) plus twice its width (w). The perimeter of a rectangle expressed as a formula is P = 2l + 2w ...
Discrete Random Variables
... can be listed as a (finite or infinite) sequence x1 , x2 , . . .. In the formulas below, X is assumed to be a discrete r.v., with values denoted by x1 , x2 , . . . . • Notational shortcuts: Notations such as “P (X = 2)”, “P (X ≤ 2)”, “P (|X − 2| ≤ 1)”, where X is a random variable, are, strictly spe ...
... can be listed as a (finite or infinite) sequence x1 , x2 , . . .. In the formulas below, X is assumed to be a discrete r.v., with values denoted by x1 , x2 , . . . . • Notational shortcuts: Notations such as “P (X = 2)”, “P (X ≤ 2)”, “P (|X − 2| ≤ 1)”, where X is a random variable, are, strictly spe ...
Functions
... domain then the graph is a function on that domain If the horizontal lines cross the function’s graph more than once it is not one to one. If there are horizontal lines that do not cross the function’s graph on a certain range, the function is not onto on that range. ...
... domain then the graph is a function on that domain If the horizontal lines cross the function’s graph more than once it is not one to one. If there are horizontal lines that do not cross the function’s graph on a certain range, the function is not onto on that range. ...
Powerpoint ( file)
... Function? Yes, because at any point, a vertical line would not cross the graph more than once. ...
... Function? Yes, because at any point, a vertical line would not cross the graph more than once. ...
ƒ(x)
... first identify the independent and dependent variables. Ex 3: A carnival charges a $5 entrance fee and $2 per ride. Write a function to represent the total cost after taking a certain number of rides. Let r be the number of rides and let C be the total cost in dollars. The entrance fee is constant. ...
... first identify the independent and dependent variables. Ex 3: A carnival charges a $5 entrance fee and $2 per ride. Write a function to represent the total cost after taking a certain number of rides. Let r be the number of rides and let C be the total cost in dollars. The entrance fee is constant. ...
Functional decomposition
Functional decomposition refers broadly to the process of resolving a functional relationship into its constituent parts in such a way that the original function can be reconstructed (i.e., recomposed) from those parts by function composition. In general, this process of decomposition is undertaken either for the purpose of gaining insight into the identity of the constituent components (which may reflect individual physical processes of interest, for example), or for the purpose of obtaining a compressed representation of the global function, a task which is feasible only when the constituent processes possess a certain level of modularity (i.e., independence or non-interaction). Interactions between the components are critical to the function of the collection. All interactions may not be observable, but possibly deduced through repetitive perception, synthesis, validation and verification of composite behavior.