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In economics, nominal (or, in effect, "named") value refers to value measured in terms of absolute money amounts, whereas real value is considered and measured against the actual goods or services for which it can be exchanged at a given time. For example, if one is offered a salary of 40,000. The following year, any inflation means that although the nominal value remains $40,000, because prices have risen, the salary will buy fewer goods and services, and thus its real value has decreased in accordance with inflation. On the other hand, ownership of an asset that holds its value, such as a diamond (making the vastly simplifying assumption of a generally steady market) may increase in nominal price increase from year to year, but its real value, i.e. its value in relation to other goods and services for which it can be exchanged, or its purchasing power, is consistent over time, because inflation has affected both its nominal value and other goods' nominal value. In spite of changes in the price, it can be sold and an equivalent amount of emeralds can be purchased, because the emerald's prices will have increased with inflation as well. In macroeconomics, the real gross domestic product, or real GDP, compensates for inflation so economists can exclude inflation from growth figures, and see how much the economy actually did grow. Nominal GDP would include inflation, and thus be higher. A commodity bundle is a sample of goods, which is used to represent the sum total of goods across the economy to which the goods belong, for the purpose of comparison across different times (or locations). At a single point of time, a commodity bundle consists of a list of goods, and each good in the list has a market price and a quantity. The market value of the good is the market price times the quantity at that point of time. The nominal value of the commodity bundle at a point of time is the total market value of the commodity bundle, depending on the market price, and the quantity, of each good in the commodity bundle which are current at the time.
[2]Paolo Prandoni, [3]LCAV, EPFL
The concept of "basis" for a vector space is one of the most profound
and fruitful ideas in linear algebra. Basis vectors are the "building
blocks" that all other vectors are built from; by "disassembling" a
vector into a linear combination of basis elements we are able to "look
inside" the vector and highlight many of its relevant features.
A vector space has an infinite number o [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 [2]Paolo Prandoni, [3]LCAV, EPFL
In this notebook we will look at the practical issues associated to
plotting the DFT and in particular the DFT of real-world signals. We
will examine how to map the DFT coefficients to real-world frequencies
and we will investigate the frequency resolution of the DFT and the
effects of zero padding.
In [1]: