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Instantaneous phase and frequency are important concepts in signal processing that occur in the context of the representation and analysis of time-varying functions. [1] The instantaneous phase (also known as local phase or simply phase ) of a complex-valued function s ( t ), is the real-valued function:
The graph depicts an increase (that is, right-shift) in demand from D 1 to D 2 along with the consequent increase in price and quantity required to reach a new equilibrium point on the supply curve (S). A common and specific example is the supply-and-demand graph shown at right.
The instantaneous amplitude, and the instantaneous phase and frequency are in some applications used to measure and detect local features of the signal. Another application of the analytic representation of a signal relates to demodulation of modulated signals .
This equation is a rearrangement of the definition of velocity: :=. As such, without the introduction of any assumptions, it is a tautology . The quantity theory of money adds assumptions about the money supply, the price level, and the effect of interest rates on velocity to create a theory about the causes of inflation and the effects of ...
When a non-price determinant of demand changes, the curve shifts. These "other variables" are part of the demand function. They are "merely lumped into intercept term of a simple linear demand function." [14] Thus a change in a non-price determinant of demand is reflected in a change in the x-intercept causing the curve to shift along the x ...
Current lagging voltage (quadrant I vector), current leading voltage (quadrant IV vector). These are all denoted in the adjacent diagram (called a power triangle). In the diagram, P is the active power, Q is the reactive power (in this case positive), S is the complex power and the length of S is the apparent power.
Starting from one point on the aggregate demand curve, at a particular price level and a quantity of aggregate demand implied by the IS–LM model for that price level, if one considers a higher potential price level, in the IS–LM model the real money supply M/P will be lower and hence the LM curve will be shifted higher, leading to lower ...
Very complex graph: the psychrometric chart, relating temperature, pressure, humidity, and other quantities. Non-rectangular coordinates: the above all use two-dimensional rectangular coordinates ; an example of a graph using polar coordinates , sometimes in three dimensions, is the antenna radiation pattern chart, which represents the power ...