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In economics, the long-run is a theoretical concept in which all markets are in equilibrium, and all prices and quantities have fully adjusted and are in equilibrium. The long-run contrasts with the short-run, in which there are some constraints and markets are not fully in equilibrium. More specifically, in microeconomics there are no fixed factors of production in the long-run, and there is enough time for adjustment so that there are no constraints preventing changing the output level by changing the capital stock or by entering or leaving an industry. This contrasts with the short-run, where some factors are variable (dependent on the quantity produced) and others are fixed (paid once), constraining entry or exit from an industry. In macroeconomics, the long-run is the period when the general price level, contractual wage rates, and expectations adjust fully to the state of the economy, in contrast to the short-run when these variables may not fully adjust. The differentiation between long-run and short-run economic models did not come into practice until 1890, with Alfred Marshall's publication of his work Principles of Economics. However, there is no hard and fast definition as to what is classified as "long" or "short" and mostly relies on the economic perspective being taken. Marshall's original introduction of long-run and short-run economics reflected the ‘long-period method’ that was a common analysis used by classical political economists. However, early in the 1930s, dissatisfaction with a variety of the conclusions of Marshall's original theory led to methods of analysis and introduction of equilibrium notions. Classical political economists, neoclassical economists, Keynesian economists all have slightly different interpretations and explanations as to how short-run and long-run equilibriums are defined, reached, and what factors influence them. (maybe provide some examples of some specific influences?) Economic theory has employed the "long-period technique" of analysis to examine how production, distribution, and accumulation take place within a market economy ever since its first appearance in the writings of the 18th-century.
[2]Paolo Prandoni, [3]LCAV, EPFL
In this notebook we will use the adaptive LMS filter to estimate the
impulse response of a reverberating room.
A typical use case is handsfree telephony: since the received signal,
amplified and played by the speaker, is picked up by the microphone, we
need to eliminate it from the signal that is transmitted back in order
to avoid a feedback loop. The signal picked up by the microph [2]Paolo Prandoni, [3]LCAV, EPFL
In this notebook we will explore various ways to implement a system
that changes the voice of a speaker. Typical applications for these
techniques, strictly sorted by plausibility, include international spy
missions and prank telephone calls, and devices such as the one
displayed here can be easily bought on the web... or in a novelty shop.
No description has been provided for t [2]Paolo Prandoni, [3]LCAV, EPFL
The Parks-McClellan (PM) algorithm is a clever application of advanced
polynomial fitting techniques to the problem of FIR filter design. In
this notebook we will explore the key ideas behind the method by
considering the design of a simple Type-I lowpass filter.
NOTE: This notebook uses interactive widgets. If the interactive
controls do not work or show up, please fo