Concept

Physical property

Related notebooks (7)

AC Conductivity and Permittivity Calculations Using the Drude Model

Chapter 1: AC Conductivity and Permittivity¶{.anchor-link} {#Chapter-1:-AC-Conductivity-and-Permittivity}

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Classical Monte Carlo Simulations of the Ising Model on Square Lattice

"## Classical Monte-Carlo simulations of the Ising model on square lattice\n", "\n", "The Ising model considers the following Hamiltonian\n", "\n", "

\\hat{\\mathcal{H}} = -J\\displaystyle\\sum_{}\\sigma_i \\sigma_j

,\n", "\n", "in which spins

\\sigma_i

can take only two discrete values

\\sigma_i \\in \\{-1,+1\\}

. Below, we will consider spins on two-dimensional square lattice taking into account couplings

J

only for the nearest neighbor sites. For

J > 0

the ferromagneti

Calculation and plotting of some important quantities relative to the electron s properties in a conventional TEM

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Understanding and Plotting the Discrete Fourier Transform (DFT)

Plotting the DFT[1]¶

                                      [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]:

first our usual bookkeeping

%matplotlib inline import matplotlib import matplotlib.p

Digital Simulation of Guitar Feedback in I Feel Fine by The Beatles

I Feel Fine, Digitally[1]¶ This notebook is a little musing inspired by the "internal mechanics" of a very famous audio snippet, namely the guitar sound at the beginning of the song "I Feel Fine", written and recorded by the Beatles in 1964. The historical significance of the record lies in the following claim by John Lennon:

 "I defy anybody to find a record... unless it is some old blues
 record from 1922... that uses feedback that way. So I claim it for
 the Beatles. Before H

Exploring Quantization and Oversampling through One-Bit Music

One-Bit Music[1]¶ In this notebook we will talk about quantization and oversampling and we will do so by taking a trip down memory lane to revisit the early from monophonic square waves, introduce polyphony by way of pulse-width modulation and finish with the basics of sigma-delta quantization. pacman In [1]: import matplotlib import matplotlib.pyplot as plt import numpy as np import scipy.signal as sp from scipy.io import wavfile import IPython In [2]: import sys ! wget -q -O mus

Understanding the Haar Basis for Grayscale Image Compression

A Basis for Grayscale Images[1]¶

                                      [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

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