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#fouriertransform — Public Fediverse posts

Live and recent posts from across the Fediverse tagged #fouriertransform, aggregated by home.social.

  1. My #genuary13 self portrait is defined entirely by parametric equations! Portrait in the first image, equations in the second. The equations were generated by tracing points from a photograph, then basically using an FFT algorithm to convert the coordinates into paremetric equations. Each feature (head, hair, eyes, etc.) is defined by a different path.

    #genuary #genuary2026 #fft #fouriertransform

  2. 🥱 "The Unreasonable Effectiveness of the Fourier Transform" – where we dive into the thrilling realm of slide PDFs and expired patents. 🎉 Spoiler alert: it's just as riveting as it sounds! 📈🔧
    joshuawise.com/resources/ofdm/ #UnreasonableEffectiveness #FourierTransform #SlidePDFs #ExpiredPatents #DataScience #HackerNews #ngated

  3. 🥤🤔 Ah, yes, the Fourier Transform: because who wouldn't want to compare calculus to making smoothies? 🍓🔍 Apparently, dense equations are out, and your blender is the new math professor. 📚✌️
    betterexplained.com/articles/a #FourierTransform #SmoothieMath #CalculusFun #MathEducation #BlenderScience #HackerNews #ngated

  4. 🥤🤔 Ah, yes, the Fourier Transform: because who wouldn't want to compare calculus to making smoothies? 🍓🔍 Apparently, dense equations are out, and your blender is the new math professor. 📚✌️
    betterexplained.com/articles/a #FourierTransform #SmoothieMath #CalculusFun #MathEducation #BlenderScience #HackerNews #ngated

  5. 🥤🤔 Ah, yes, the Fourier Transform: because who wouldn't want to compare calculus to making smoothies? 🍓🔍 Apparently, dense equations are out, and your blender is the new math professor. 📚✌️
    betterexplained.com/articles/a #FourierTransform #SmoothieMath #CalculusFun #MathEducation #BlenderScience #HackerNews #ngated

  6. 🥤🤔 Ah, yes, the Fourier Transform: because who wouldn't want to compare calculus to making smoothies? 🍓🔍 Apparently, dense equations are out, and your blender is the new math professor. 📚✌️
    betterexplained.com/articles/a #FourierTransform #SmoothieMath #CalculusFun #MathEducation #BlenderScience #HackerNews #ngated

  7. 🎉 Behold: the riveting tale of a Fourier Transform enthusiast, bravely venturing into the wilds of the internet, only to be heroically vanquished by the impenetrable fortress of website security! 🏰🔒 A saga of thwarted curiosity, with all the #drama of a garden-variety #CAPTCHA 🖼️—truly, the stuff of legends. 🌟
    continuummechanics.org/fourier #FourierTransform #InternetAdventure #WebsiteSecurity #HackerNews #ngated

  8. Lnczos interpolation: the art of making pixels look vaguely coherent, now with extra confusion! 🤔✨ Spend hours squinting at resampled images, and still be unsure what a Fourier transform is. But hey, at least you get some "intuition"! 😂📉
    mazzo.li/posts/lanczos.html #LnczosInterpolation #ImageResampling #FourierTransform #Confusion #Intuition #HackerNews #ngated

  9. 🎶🎩 Behold, the mystical Fourier Transform, where mere mortals attempt to decode wave magic! 🧙‍♂️✨ Yet another Quanta quest to make you feel like an intellectual toddler lost in a cosmic calculus carnival. 🎢🤹‍♀️
    quantamagazine.org/what-is-the #FourierTransform #QuantaMagic #WaveDecoding #CosmicCalculus #IntellectualToddler #HackerNews #ngated

  10. 🤔 Oh, the Fourier Transform, that magical incantation of sine waves that turns math nerds' brains into a bowl of spaghetti! 🍝 But don't worry, somewhere amidst the self-congratulatory blabbering, there's probably someone who actually understands it... probably. 📉
    quantamagazine.org/what-is-the #FourierTransform #MathNerds #SineWaves #Spaghetti #Understanding #HackerNews #ngated

  11. 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: 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

  12. 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: 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

  13. 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: 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

  14. 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: 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

  15. 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: 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

  16. Is The Frequency Domain a Real Place? - When analyzing data, one can use a variety of transformations on the data to massa... - hackaday.com/2024/05/16/is-the #fouriertransform #frequencydomain #science

  17. 💡 Did you know that #FluidFFT lets you do much more than computing #FourierTransform and its inverse?

    With an "OperatorsPseudoSpectral2D" (or 3D) class you can compute transforms, compute derivatives, divergence, curl, gradients, apply dealiasing etc easily and efficiently!

    You don't have to grok how FFTs are arranged numerically and what wave numbers are. It simplifies things. Here is an example from the archives

    fluiddyn.netlify.app/intensely

    fluidfft.readthedocs.io/en/lat

    #pseudospectral

  18. 💡 Did you know that #FluidFFT lets you do much more than computing #FourierTransform and its inverse?

    With an "OperatorsPseudoSpectral2D" (or 3D) class you can compute transforms, compute derivatives, divergence, curl, gradients, apply dealiasing etc easily and efficiently!

    You don't have to grok how FFTs are arranged numerically and what wave numbers are. It simplifies things. Here is an example from the archives

    fluiddyn.netlify.app/intensely

    fluidfft.readthedocs.io/en/lat

    #pseudospectral

  19. 💡 Did you know that lets you do much more than computing and its inverse?

    With an "OperatorsPseudoSpectral2D" (or 3D) class you can compute transforms, compute derivatives, divergence, curl, gradients, apply dealiasing etc easily and efficiently!

    You don't have to grok how FFTs are arranged numerically and what wave numbers are. It simplifies things. Here is an example from the archives

    fluiddyn.netlify.app/intensely

    fluidfft.readthedocs.io/en/lat

  20. 💡 Did you know that #FluidFFT lets you do much more than computing #FourierTransform and its inverse?

    With an "OperatorsPseudoSpectral2D" (or 3D) class you can compute transforms, compute derivatives, divergence, curl, gradients, apply dealiasing etc easily and efficiently!

    You don't have to grok how FFTs are arranged numerically and what wave numbers are. It simplifies things. Here is an example from the archives

    fluiddyn.netlify.app/intensely

    fluidfft.readthedocs.io/en/lat

    #pseudospectral

  21. 💡 Did you know that #FluidFFT lets you do much more than computing #FourierTransform and its inverse?

    With an "OperatorsPseudoSpectral2D" (or 3D) class you can compute transforms, compute derivatives, divergence, curl, gradients, apply dealiasing etc easily and efficiently!

    You don't have to grok how FFTs are arranged numerically and what wave numbers are. It simplifies things. Here is an example from the archives

    fluiddyn.netlify.app/intensely

    fluidfft.readthedocs.io/en/lat

    #pseudospectral

  22. Since "jct." is short for "junction," every time I read "DCT" (discrete cosine transform) I hear "dunction."

    #DSP #Audio #DigitalAudio #Math #FourierTransform #Maps #Mapstodon