#fourierseries — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #fourierseries, aggregated by home.social.
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🎨🔍 Oh, look! NVIDIA's latest *groundbreaking* innovation: transforming your blurry, pixelated images into modern art using the power of everyone's favorite math class nightmare—Fourier Series! 🎢 Because who doesn't want their photos to look like a cosmic trip through a 2D sine wave rollercoaster? 🤷♂️✨
https://sifeiliu.net/CosAE-page/ #NVIDIA #Innovation #ImageTransformation #FourierSeries #ModernArt #TechTrends #HackerNews #ngated -
Fundamental component of a Quasi-Square Wave (QSW) voltage as shown below has a peak value of (4/𝝅)Vdc*cos(α) = 1.27Vdc*cos(α)
#FourierSeries #PowerElectronics #Inverter
Source: Slides 8-9 → https://www.slideserve.com/lapis/inverters-dc-ac-converters
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Fourier, the Animated Series - We’ve seen many graphical and animated explainers for the Fourier series. We suppo... - https://hackaday.com/2024/06/05/fourier-the-animated-series/ #fourierseries #visualization #mathematics #waveforms #science
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Fourier, the Animated Series - We’ve seen many graphical and animated explainers for the Fourier series. We suppo... - https://hackaday.com/2024/06/05/fourier-the-animated-series/ #fourierseries #visualization #mathematics #waveforms #science
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Fourier, the Animated Series - We’ve seen many graphical and animated explainers for the Fourier series. We suppo... - https://hackaday.com/2024/06/05/fourier-the-animated-series/ #fourierseries #visualization #mathematics #waveforms #science
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Fourier, the Animated Series - We’ve seen many graphical and animated explainers for the Fourier series. We suppo... - https://hackaday.com/2024/06/05/fourier-the-animated-series/ #fourierseries #visualization #mathematics #waveforms #science
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Fourier, the Animated Series - We’ve seen many graphical and animated explainers for the Fourier series. We suppo... - https://hackaday.com/2024/06/05/fourier-the-animated-series/ #fourierseries #visualization #mathematics #waveforms #science
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The Fourier transform (FT), explained in one sentence: 🔗 https://blog.revolutionanalytics.com/2014/01/the-fourier-transform-explained-in-one-sentence.html
\[\boxed{\hat{f}(\xi)=\displaystyle\int_{-\infty}^\infty e^{-i2\pi\xi t}f(t)\ \mathrm{d}t}\]Discrete Fourier transform (DFT):
\[\displaystyle x_n = \sum_{k=0}^{N-1} X_k \cdot e^{-i2\pi \tfrac{n}{N}k}\]Inverse transform:
\[\displaystyle X_k = \frac{1}{N} \sum_{n=0}^{N-1} x_n \cdot e^{i2\pi \tfrac{n}{N} k}\]#FourierTransform #FourierSeries #Transform #MathematicalTransform #Signal #SignalProcessing #Frequency #Energy #FourierAnalysis #Series #Analysis
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The Fourier transform (FT), explained in one sentence: 🔗 https://blog.revolutionanalytics.com/2014/01/the-fourier-transform-explained-in-one-sentence.html
\[\boxed{\hat{f}(\xi)=\displaystyle\int_{-\infty}^\infty e^{-i2\pi\xi t}f(t)\ \mathrm{d}t}\]Discrete Fourier transform (DFT):
\[\displaystyle x_n = \sum_{k=0}^{N-1} X_k \cdot e^{-i2\pi \tfrac{n}{N}k}\]Inverse transform:
\[\displaystyle X_k = \frac{1}{N} \sum_{n=0}^{N-1} x_n \cdot e^{i2\pi \tfrac{n}{N} k}\]#FourierTransform #FourierSeries #Transform #MathematicalTransform #Signal #SignalProcessing #Frequency #Energy #FourierAnalysis #Series #Analysis
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The Fourier transform (FT), explained in one sentence: 🔗 https://blog.revolutionanalytics.com/2014/01/the-fourier-transform-explained-in-one-sentence.html
\[\boxed{\hat{f}(\xi)=\displaystyle\int_{-\infty}^\infty e^{-i2\pi\xi t}f(t)\ \mathrm{d}t}\]Discrete Fourier transform (DFT):
\[\displaystyle x_n = \sum_{k=0}^{N-1} X_k \cdot e^{-i2\pi \tfrac{n}{N}k}\]Inverse transform:
\[\displaystyle X_k = \frac{1}{N} \sum_{n=0}^{N-1} x_n \cdot e^{i2\pi \tfrac{n}{N} k}\]#FourierTransform #FourierSeries #Transform #MathematicalTransform #Signal #SignalProcessing #Frequency #Energy #FourierAnalysis #Series #Analysis
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The Fourier transform (FT), explained in one sentence: 🔗 https://blog.revolutionanalytics.com/2014/01/the-fourier-transform-explained-in-one-sentence.html
\[\boxed{\hat{f}(\xi)=\displaystyle\int_{-\infty}^\infty e^{-i2\pi\xi t}f(t)\ \mathrm{d}t}\]Discrete Fourier transform (DFT):
\[\displaystyle x_n = \sum_{k=0}^{N-1} X_k \cdot e^{-i2\pi \tfrac{n}{N}k}\]Inverse transform:
\[\displaystyle X_k = \frac{1}{N} \sum_{n=0}^{N-1} x_n \cdot e^{i2\pi \tfrac{n}{N} k}\]#FourierTransform #FourierSeries #Transform #MathematicalTransform #Signal #SignalProcessing #Frequency #Energy #FourierAnalysis #Series #Analysis
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John von Neumann once claimed, "with 4 parameters, I can fit an elephant, and with 5, I can make him wiggle his trunk."
\[x(t)=\displaystyle\sum_{k=0}^\infty\left(A_k^x\cos(kt)+B_k^x\sin(kt) \right)\]
\[y(t)=\displaystyle\sum_{k=0}^\infty\left(A_k^y\cos(kt)+B_k^y\sin(kt) \right)\]
Here's a paper proving that von Neumann's claim is valid! 🔗 https://aapt.scitation.org/doi/10.1119/1.3254017
#Neumann #JohnVonNeumann #VonNeumann #FourierSeries #parameters #complexparameters #parametrization #mathematics #maths -
John von Neumann once claimed, "with 4 parameters, I can fit an elephant, and with 5, I can make him wiggle his trunk."
\[x(t)=\displaystyle\sum_{k=0}^\infty\left(A_k^x\cos(kt)+B_k^x\sin(kt) \right)\]
\[y(t)=\displaystyle\sum_{k=0}^\infty\left(A_k^y\cos(kt)+B_k^y\sin(kt) \right)\]
Here's a paper proving that von Neumann's claim is valid! 🔗 https://aapt.scitation.org/doi/10.1119/1.3254017
#Neumann #JohnVonNeumann #VonNeumann #FourierSeries #parameters #complexparameters #parametrization #mathematics #maths -
John von Neumann once claimed, "with 4 parameters, I can fit an elephant, and with 5, I can make him wiggle his trunk."
\[x(t)=\displaystyle\sum_{k=0}^\infty\left(A_k^x\cos(kt)+B_k^x\sin(kt) \right)\]
\[y(t)=\displaystyle\sum_{k=0}^\infty\left(A_k^y\cos(kt)+B_k^y\sin(kt) \right)\]
Here's a paper proving that von Neumann's claim is valid! 🔗 https://aapt.scitation.org/doi/10.1119/1.3254017
#Neumann #JohnVonNeumann #VonNeumann #FourierSeries #parameters #complexparameters #parametrization #mathematics #maths -
John von Neumann once claimed, "with 4 parameters, I can fit an elephant, and with 5, I can make him wiggle his trunk."
\[x(t)=\displaystyle\sum_{k=0}^\infty\left(A_k^x\cos(kt)+B_k^x\sin(kt) \right)\]
\[y(t)=\displaystyle\sum_{k=0}^\infty\left(A_k^y\cos(kt)+B_k^y\sin(kt) \right)\]
Here's a paper proving that von Neumann's claim is valid! 🔗 https://aapt.scitation.org/doi/10.1119/1.3254017
#Neumann #JohnVonNeumann #VonNeumann #FourierSeries #parameters #complexparameters #parametrization #mathematics #maths -
John von Neumann once claimed, "with 4 parameters, I can fit an elephant, and with 5, I can make him wiggle his trunk."
\[x(t)=\displaystyle\sum_{k=0}^\infty\left(A_k^x\cos(kt)+B_k^x\sin(kt) \right)\]
\[y(t)=\displaystyle\sum_{k=0}^\infty\left(A_k^y\cos(kt)+B_k^y\sin(kt) \right)\]
Here's a paper proving that von Neumann's claim is valid! 🔗 https://aapt.scitation.org/doi/10.1119/1.3254017
#Neumann #JohnVonNeumann #VonNeumann #FourierSeries #parameters #complexparameters #parametrization #mathematics #maths -
@stux For everyone who wants to learn more about the background of this: https://youtube.com/watch?v=r6sGWTCMz2k
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Interactive Demo Shows the Power of Fourier Transforms - When it comes to mathematics, the average person can probably get through most of life well enough... more: https://hackaday.com/2019/04/10/interactive-demo-shows-the-power-of-fourier-transforms/ #fouriertransform #internethacks #softwarehacks #decomposition #fourierseries #epicycles #encoding #fourier #news #jpeg #mpeg #sine #svg
