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A curve connecting the tangency points is called the expansion path because it shows how the input usages expand as the chosen level of output expands. 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 ]
Equivalently, it gives the maximum level of output that can be produced for a given total cost of inputs. A line joining tangency points of isoquants and isocosts (with input prices held constant) is called the expansion path. [3]
An expansion, [6] which converges more rapidly for all real values of x than a Taylor expansion, is obtained by using Hans Heinrich Bürmann's theorem: [7] = (() () ()) = (+ =). where sgn is the sign function.
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.
In economics and particularly in consumer choice theory, the income-consumption curve (also called income expansion path and income offer curve) is a curve in a graph in which the quantities of two goods are plotted on the two axes; the curve is the locus of points showing the consumption bundles chosen at each of various levels of income.
A simple negative feedback system is descriptive, for example, of some electronic amplifiers. The feedback is negative if the loop gain AB is negative.. Negative feedback (or balancing feedback) occurs when some function of the output of a system, process, or mechanism is fed back in a manner that tends to reduce the fluctuations in the output, whether caused by changes in the input or by ...
If an input variable X(t) cycles from X 0 to X 1 and back again, the output Y(t) may be Y 0 initially but a different value Y 2 upon return. The values of Y(t) depend on the path of values that X(t) passes through but not on the speed at which it traverses the path. [3] Many authors restrict the term hysteresis to mean only rate-independent ...
The MediaWiki software, which generates the HTML of a page from its wiki source, uses a parser to deal with included data. This is done using a "preprocessor" which converts the wikitext into a data structure known as an XML tree, and then uses this tree to produce "expanded" wikitext, where double- and triple-braced structures are replaced by their result.