#fourier — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #fourier, aggregated by home.social.
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Modell257: Debajyoti Choudhuri wrote an introductional paper about the Fractional Laplacian that has applications to diffusion problems, probability theory, as well as image processing. Learn about harmonics that sound like music but are actually composed out of functions that solve the Laplace equation without a source term.
https://modellansatz.de/fractional-laplacian
#Mathematics #Laplacian #FunctionalAnalytics #Fourier #FractionalDerivatives #SobolevSpaces #PDEs
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Modell257: Debajyoti Choudhuri wrote an introductional paper about the Fractional Laplacian that has applications to diffusion problems, probability theory, as well as image processing. Learn about harmonics that sound like music but are actually composed out of functions that solve the Laplace equation without a source term.
https://modellansatz.de/fractional-laplacian
#Mathematics #Laplacian #FunctionalAnalytics #Fourier #FractionalDerivatives #SobolevSpaces #PDEs
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Pourquoi la même note sonne différemment sur chaque instrument ? Avec Laurent de Wilde, autour du La3 (Round 440 Hz), balade en fréquence par les harmoniques et formants : oscillateur, flûte, violon, piano, trompette #Fourier #timbre #hauteur #spectre #jazz
https://www.facebook.com/l2wildeofficiel/videos/pourquoi-la-me%CC%82me-note-sonne-diffe%CC%81remment-sur-chaque-instruments-/1423545212907131/ -
Pourquoi la même note sonne différemment sur chaque instrument ? Avec Laurent de Wilde, autour du La3 (Round 440 Hz), balade en fréquence par les harmoniques et formants : oscillateur, flûte, violon, piano, trompette #Fourier #timbre #hauteur #spectre #jazz
https://www.facebook.com/l2wildeofficiel/videos/pourquoi-la-me%CC%82me-note-sonne-diffe%CC%81remment-sur-chaque-instruments-/1423545212907131/ -
'Lewis takes up a debate with several Black feminists who have, at various times, questioned the idea of family abolition, whose central argument has been that, very often, Black families have been sites of resistance against racism. Similarly, we could point to many experiences of class struggle in which sectors of working families have played a key role against the attacks of capital: supporting strikes, establishing relations of solidarity between factories and neighborhoods, staging rent strikes, maintaining soup kitchens, creating movements in defense of public services, and many other forms of resistance. The tradition of “women’s commissions” in strikes, for example, has allowed the working class to articulate fighting forces far beyond the workplace.
'To this criticism Lewis responds that, even so, we should not cease working for the abolition of the family, since we would not need its “protective shield” if we managed to build a society without racism. The argument contains a grain of truth, but it stops halfway. It fails to contemplate the role that the family relations within sectors of the working class and oppressed can play in moments of heightened class struggle. On another level, it doesn’t account for the fact that capitalism, while it needs such a “social cell” for its own reproduction, constantly undermines working families’ very conditions of existence. Marx and Engels remarked on this in the mid-19th century, pointing to the length of the working day, the lack of decent housing, and the general precariousness of working class life.'
Josefina L. Martínez : https://www.leftvoice.org/love-and-care-beyond-capitalism/
#property #gender #subordination #dependence #family #debates #debate #abolition #antiCapitalism #Fourier #Lewis #sociology #anthropology #communities #feminism #feminisms #chores #care #queer #rainbowMafia #historyOfIdeas #Marxism #relationships #abolitionism #culturalism #radicalFeminism #materialism #classes #revolution #domesticWork #classStruggle #careWork #historyOfFeminism
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'Lewis takes up a debate with several Black feminists who have, at various times, questioned the idea of family abolition, whose central argument has been that, very often, Black families have been sites of resistance against racism. Similarly, we could point to many experiences of class struggle in which sectors of working families have played a key role against the attacks of capital: supporting strikes, establishing relations of solidarity between factories and neighborhoods, staging rent strikes, maintaining soup kitchens, creating movements in defense of public services, and many other forms of resistance. The tradition of “women’s commissions” in strikes, for example, has allowed the working class to articulate fighting forces far beyond the workplace.
'To this criticism Lewis responds that, even so, we should not cease working for the abolition of the family, since we would not need its “protective shield” if we managed to build a society without racism. The argument contains a grain of truth, but it stops halfway. It fails to contemplate the role that the family relations within sectors of the working class and oppressed can play in moments of heightened class struggle. On another level, it doesn’t account for the fact that capitalism, while it needs such a “social cell” for its own reproduction, constantly undermines working families’ very conditions of existence. Marx and Engels remarked on this in the mid-19th century, pointing to the length of the working day, the lack of decent housing, and the general precariousness of working class life.'
Josefina L. Martínez : https://www.leftvoice.org/love-and-care-beyond-capitalism/
#property #gender #subordination #dependence #family #debates #debate #abolition #antiCapitalism #Fourier #Lewis #sociology #anthropology #communities #feminism #feminisms #chores #care #queer #rainbowMafia #historyOfIdeas #Marxism #relationships #abolitionism #culturalism #radicalFeminism #materialism #classes #revolution #domesticWork #classStruggle #careWork #historyOfFeminism
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In der heutigen englischsprachigen Übung im Modul #ElectromagneticCompatibility haben wir die Fourierreihenentwicklung einer periodischen Rechteckpulsfolge untersucht, d.h. von Hand die #Fourier-Koeffizienten ermittelt, mit GNU Octave berechnet und grafisch dargestellt, mit LTspice simuliert und mit einem virtuellen PicoScope gemessen.
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In der heutigen englischsprachigen Übung im Modul #ElectromagneticCompatibility haben wir die Fourierreihenentwicklung einer periodischen Rechteckpulsfolge untersucht, d.h. von Hand die #Fourier-Koeffizienten ermittelt, mit GNU Octave berechnet und grafisch dargestellt, mit LTspice simuliert und mit einem virtuellen PicoScope gemessen.
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📌 The Fast #Fourier Transform (published by Cooley and Tukey in 1965) was another game-changer for us in the Signal Processing sector. Certainly up there with adaptive filtering (1960) in terms of lasting impact! This tech accelerated practical digital signal processors (#DSP).
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In 1929, Kathleen Lonsdale solved the mystery of the molecular structure of #benzene, which had been elusive for over a century. She used #Fourier methods on her X-ray crystallography data.
Benzene had been isolated in 1825, in a tiny vial that would change the world. 👇
https://www.rigb.org/explore-science/explore/blog/tiny-vial-changed-world-benzene-200
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In 1929, Kathleen Lonsdale solved the mystery of the molecular structure of #benzene, which had been elusive for over a century. She used #Fourier methods on her X-ray crystallography data.
Benzene had been isolated in 1825, in a tiny vial that would change the world. 👇
https://www.rigb.org/explore-science/explore/blog/tiny-vial-changed-world-benzene-200
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#Riemann is the room temperature #Superconductivity of #Mathematics. She is beautiful enough to make one cry as she tempts at a glance,then vanishes.The link between harmonic analysis , #Fourier , and pretty much all of #Physics takes a sledgehammer to the idea that mathematics and #Physics are twin sons of different mothers.This video is a not bad , very good introduction for newcomers. Timely and up to date
Via #NewScientist:
PrimeNumbers Might Not Be Random After All
https://youtu.be/59I84mWLK_c?si=zrm6TiKV_oD0LIxy -
#Riemann is the room temperature #Superconductivity of #Mathematics. She is beautiful enough to make one cry as she tempts at a glance,then vanishes.The link between harmonic analysis , #Fourier , and pretty much all of #Physics takes a sledgehammer to the idea that mathematics and #Physics are twin sons of different mothers.This video is a not bad , very good introduction for newcomers. Timely and up to date
Via #NewScientist:
PrimeNumbers Might Not Be Random After All
https://youtu.be/59I84mWLK_c?si=zrm6TiKV_oD0LIxy -
Engineering Signal Analysis - From Fourier to filtering
https://books.open.tudelft.nl/home/catalog/book/247#freebook #openbook #book #dsp #fourier #filtering #pdf #signalanalysis #signalprocessing #audio #sound
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Engineering Signal Analysis - From Fourier to filtering
https://books.open.tudelft.nl/home/catalog/book/247#freebook #openbook #book #dsp #fourier #filtering #pdf #signalanalysis #signalprocessing #audio #sound
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@ozoned ok yeah that is true to your original vision - probably some javascript dev would have little issue with that - run it as a browser extension and you can add on after you get basic functionality sorted #fourier transforms #crowd sourced best alternatives #hosts #csrf #greasemonkey
https://www.lifewire.com/top-greasemonkey-tampermonkey-user-scripts-4134335
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@ozoned ok yeah that is true to your original vision - probably some javascript dev would have little issue with that - run it as a browser extension and you can add on after you get basic functionality sorted #fourier transforms #crowd sourced best alternatives #hosts #csrf #greasemonkey
https://www.lifewire.com/top-greasemonkey-tampermonkey-user-scripts-4134335
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Vor 200 #Jahren
#Treibhauseffekt :"So steigt die #Temperatur
durch das #Dazwischentreten
der #Atmosphäre - weil die Wärme
in Form von #Licht #ungehindert in die
#Luft eindringt – aber dann daran gehindert
wird - wieder zurückzukehren - nachdem sie in
#Wärme umgewandelt wurde" Joseph #Fourier 1824
https://www.ardalpha.de/wissen/umwelt/klima/klimawandel/klimawandel-klimaforschung-geschichte-historisch-100.html -
Vor 200 #Jahren
#Treibhauseffekt :"So steigt die #Temperatur
durch das #Dazwischentreten
der #Atmosphäre - weil die Wärme
in Form von #Licht #ungehindert in die
#Luft eindringt – aber dann daran gehindert
wird - wieder zurückzukehren - nachdem sie in
#Wärme umgewandelt wurde" Joseph #Fourier 1824
https://www.ardalpha.de/wissen/umwelt/klima/klimawandel/klimawandel-klimaforschung-geschichte-historisch-100.html -
🎵 So, you thought your #ear was a wannabe #Fourier transformer? Think again! 😏 Instead, it's just a fancy snail-shaped party trick that separates sounds like a #DJ at a logarithmic #rave. 🎧🌀
https://www.dissonances.blog/p/the-ear-does-not-do-a-fourier-transform #anatomy #sound #science #transform #snail #shape #HackerNews #ngated -
🎵 So, you thought your #ear was a wannabe #Fourier transformer? Think again! 😏 Instead, it's just a fancy snail-shaped party trick that separates sounds like a #DJ at a logarithmic #rave. 🎧🌀
https://www.dissonances.blog/p/the-ear-does-not-do-a-fourier-transform #anatomy #sound #science #transform #snail #shape #HackerNews #ngated -
Searching for Charles Fourier in the ruins of a socialist utopia outside LA
https://kubicki.org/letters/the-dogs-of-llano-del-rio-i/
#HackerNews #Searching #for #Charles #Fourier #in #the #ruins #of #a #socialist #utopia #outside #LA #socialism #utopia #history #CharlesFourier #exploration
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Searching for Charles Fourier in the ruins of a socialist utopia outside LA
https://kubicki.org/letters/the-dogs-of-llano-del-rio-i/
#HackerNews #Searching #for #Charles #Fourier #in #the #ruins #of #a #socialist #utopia #outside #LA #socialism #utopia #history #CharlesFourier #exploration
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'Ahora bien, Lewis debate en su libro con algunas feministas negras que, en diferentes momentos, han cuestionado la idea de “abolición de la familia”. Su argumento central ha sido que, muchas veces, las familias negras fueron un lugar de resistencia frente al racismo. En el mismo sentido, podríamos recuperar múltiples experiencias de la lucha de clases en las cuales sectores de las familias trabajadoras han jugado un papel clave contra los ataques del capital. Ya sea mediante el apoyo a huelgas obreras, estableciendo relaciones de solidaridad entre las fábricas y los barrios, mediante huelgas de alquileres, ollas populares, movimientos en defensa de los servicios públicos y otras formas de resistencia. La tradición de formar “comisiones de mujeres” en las huelgas, por ejemplo, ha permitido a la clase trabajadora articular fuerzas de lucha mucho más allá del lugar de trabajo.
'Por su parte, Lewis responde a las feministas negras que, aun así, eso no quita que busquemos la abolición de la familia, ya que no necesitaríamos ese “escudo protector” si consiguiéramos dar forma a una sociedad sin racismo. El argumento tiene una parte de verdad, y sin embargo, se queda a medio camino. No contempla el papel que pueden desempeñar las relaciones familiares de algunos sectores de la clase trabajadora o sectores oprimidos en momentos de incremento de la lucha de clases. En otro plano, no toma en cuenta el hecho de que el capitalismo, a la vez que necesita de esa “célula social” para su propia reproducción, horada constantemente las condiciones de existencia de las familias trabajadoras. Marx y Engels ya habían señalado esto a mediados del siglo XIX, apuntando a la extensión de la jornada laboral, la falta de viviendas en condiciones, y en general la precariedad de la vida de la clase trabajadora.'
Josefina L. Martínez: https://www.laizquierdadiario.com/Amor-y-cuidados-mas-alla-del-capital-debates-sobre-la-abolicion-de-la-familia-y-el-socialismo
#izquierda #propiedad #género #subordinación #dependencia #familia #debates #debate #abolición #anticapitalismo #Fourier #Lewis #sociología #antropología #comunidades #feminismo #feminismos #tareasDomésticas #cuidado #queer #historiaDeLasIdeas #marxismo #relaciones #abolicionismo #culturalismo #feminismoRadical #materialismo #clases #revolución #trabajoDoméstico #luchaDeClases #trabajoDeCuidado #historiaDelFeminismo
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Che cos'è la trasformata di Fourier?
Nel caos della Francia rivoluzionaria, l'ossessione matematica di un uomo lasciò il posto a un calcolo che oggi è alla base di gran parte della matematica e della fisica. Il calcolo, chiamato trasformata di #Fourier, scompone qualsiasi funzione nelle sue parti.
https://www.quantamagazine.org/what-is-the-fourier-transform-20250903/
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Che cos'è la trasformata di Fourier?
Nel caos della Francia rivoluzionaria, l'ossessione matematica di un uomo lasciò il posto a un calcolo che oggi è alla base di gran parte della matematica e della fisica. Il calcolo, chiamato trasformata di #Fourier, scompone qualsiasi funzione nelle sue parti.
https://www.quantamagazine.org/what-is-the-fourier-transform-20250903/
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"What Is the Fourier Transform?"
By Shalma Wegsman.
https://www.quantamagazine.org/what-is-the-fourier-transform-20250903/An introduction in lay terms with some history on Fourier himself.
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"What Is the Fourier Transform?"
By Shalma Wegsman.
https://www.quantamagazine.org/what-is-the-fourier-transform-20250903/An introduction in lay terms with some history on Fourier himself.
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As we listen to a piece of music, our ears perform a calculation.
The high-pitched flutter of the flute, the middle tones of the violin, and the low hum of the double bass fill the air with pressure waves of many different frequencies.
When the combined sound wave descends through the ear canal and into the spiral-shaped cochlea, hairs of different lengths resonate to the different pitches, separating the messy signal into buckets of elemental sounds.
Amid the chaos of revolutionary France, one man’s mathematical obsession gave way to a calculation that now underpins much of #mathematics and #physics.
The calculation, called the #Fourier transform, decomposes any #function into its parts.
https://www.quantamagazine.org/what-is-the-fourier-transform-20250903/
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As we listen to a piece of music, our ears perform a calculation.
The high-pitched flutter of the flute, the middle tones of the violin, and the low hum of the double bass fill the air with pressure waves of many different frequencies.
When the combined sound wave descends through the ear canal and into the spiral-shaped cochlea, hairs of different lengths resonate to the different pitches, separating the messy signal into buckets of elemental sounds.
Amid the chaos of revolutionary France, one man’s mathematical obsession gave way to a calculation that now underpins much of #mathematics and #physics.
The calculation, called the #Fourier transform, decomposes any #function into its parts.
https://www.quantamagazine.org/what-is-the-fourier-transform-20250903/
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@juliavithoria Bah, si tenés repo git podrías compartirlo por ahí también... y agregar códigos para tener ejemplos... hace siglos que no veo #Fourier, algo de la transformada discreta había estudiado, pero nunca programé nada con #FFTW.
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@juliavithoria Bah, si tenés repo git podrías compartirlo por ahí también... y agregar códigos para tener ejemplos... hace siglos que no veo #Fourier, algo de la transformada discreta había estudiado, pero nunca programé nada con #FFTW.
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Пишем симуляцию океанских волн на языке программирования Ü
В данной статье я поведаю, как я реализовал симуляцию и визуализацию океанских волн с использованием языка программирования Ü. Идея этого проекта возникла из желания написать на Ü что-то, что не связано с разработкой самого языка Ü и вообще, чего-то, хоть отдалённо связанного с компиляторами. Взгляд мой пал на достаточно известную прикладную задачу трёхмерной графики — симуляцию океана. С одной стороны она не совсем тривиальна, с другой же стороны всё-же не столь сложна, чтобы её реализация заняла слишком много времени.
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Ok, this is amazing.
https://inv.nadeko.net/watch?v=xDLxFGXuPEc
YT - Captain Disillusion - CD / Blur
#Blur #DeBlur #Convolution #Gaussian #DeConvolution #Fourier
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Everything is a repeating wave. Even your birth.
https://www.youtube.com/watch?v=xDLxFGXuPEc
#CaptainDisillusion #Blur #Photoshop #ImageManipulation #CD #YouTube #Video #Education #CarlSagan #Math #Mathematics #Algorithm #Fourier #YouTuber
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CosAE: Learnable Fourier Series for Image Restoration
https://sifeiliu.net/CosAE-page/
#HackerNews #CosAE #Learnable #Fourier #Series #Image #Restoration #AI #Technology
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The Fourier Transform is a mathematical operation that transforms a function of time (or space) into a function of frequency. It decomposes a complex signal into its constituent sinusoidal components, each with a specific frequency, amplitude, and phase. This is particularly useful in many fields, such as signal processing, physics, and engineering, because it allows for analysing the frequency characteristics of signals. The Fourier Transform provides a bridge between the time and frequency domains, enabling the analysis and manipulation of signals in more intuitive and computationally efficient ways. The result of applying a Fourier Transform is often represented as a spectrum, showing how much of each frequency is present in the original signal.
\[\Large\boxed{\boxed{\widehat{f}(\xi) = \int_{-\infty}^{\infty} f(x)\ e^{-i 2\pi \xi x}\,\mathrm dx, \quad \forall\xi \in \mathbb{R}.}}\]
Inverse Fourier Transform:
\[\Large\boxed{\boxed{ f(x) = \int_{-\infty}^{\infty} \widehat f(\xi)\ e^{i 2 \pi \xi x}\,\mathrm d\xi,\quad \forall x \in \mathbb R.}}\]The equation allows us to listen to mp3s today. Digital Music Couldn’t Exist Without the Fourier Transform: http://bit.ly/22kbNfi
#Fourier #FourierTransform #Transform #Time #Frequency #Space #TimeDomain #FrequencyDomain #Wavenumber #WavenumberDomain #Function #Math #Maths #JosephFourier #Signal #Signals #FT #IFT #DFT #FFT #Physics #SignalProcessing #Engineering #Analysis #Computing #Computation #Operation #ComplexSignal #Sinusoidal #Amplitude #Phase #Spectra #Spectrum #Pustam #Raut #PustamRaut #EGR #Mathstodon #Mastodon #GeoFlow #SpectralMethod
