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In economics, an expansion path (also called a scale line [1]) is a path connecting optimal input combinations as the scale of production expands. [2] It is often represented as a curve in a graph with quantities of two inputs, typically physical capital and labor, plotted on the axes. A producer seeking to produce a given number of units of a ...
The input–process–output (IPO) model, or input-process-output pattern, is a widely used approach in systems analysis and software engineering for describing the structure of an information processing program or other process. Many introductory programming and systems analysis texts introduce this as the most basic structure for describing a ...
In computer science, a control-flow graph (CFG) is a representation, using graph notation, of all paths that might be traversed through a program during its execution. The control-flow graph was conceived by Frances E. Allen, [1] who noted that Reese T. Prosser used boolean connectivity matrices for flow analysis before. [2]
Once the program structure is finished, the programmer creates a list of the computational operations that the program must perform, and the program structure diagram is fleshed out by hanging those operations off of the appropriate structural components. read a byte; remember byte; set counter to zero; increment counter; output remembered byte
A Warnier/Orr diagram (also known as a logical construction of a program/system) is a kind of hierarchical flowchart that allows the description of the organization of data and procedures. They were initially developed 1976, [ 1 ] in France by Jean-Dominique Warnier [ 2 ] and in the United States by Kenneth Orr [ 3 ] on the foundation of ...
For example, Figure 1 shows a UML state diagram corresponding to the computer keyboard state machine. In UML, states are represented as rounded rectangles labeled with state names. The transitions, represented as arrows, are labeled with the triggering events followed optionally by the list of executed actions.
Every connected graph is an expander; however, different connected graphs have different expansion parameters. The complete graph has the best expansion property, but it has largest possible degree. Informally, a graph is a good expander if it has low degree and high expansion parameters.
The A* algorithm has real-world applications. In this example, edges are railroads and h(x) is the great-circle distance (the shortest possible distance on a sphere) to the target. The algorithm is searching for a path between Washington, D.C., and Los Angeles.