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#FT

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Pustam | पुस्तम | পুস্তম🇳🇵

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

Gizmodo · Digital Music Couldn't Exist Without the Fourier TransformThis is the Fourier Transform. You can thank it for providing the music you stream every day, squeezing down the images you see on the Internet into tiny
#Fourier#FourierTransform#Transform
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⚯ Michel de Cryptadamus ⚯

Financial Times piece on $1.4 billion in shaky accounting on #Tesla’s books is… whoah.

Due to the reality of British libel laws and #ElonMusk’s propensity to sue his detractors i have to assume this is one of the most heavily legally vetted and fact checked things you will ever read. (Also not unreasonable to suspect there might be other tidbits of information the lawyers wouldn't sign off on being published - that happened a *lot* with FT's Wirecard investigation)

p.s. the FT reporter is #DanMcCrum, whose decade long crusade to take down the #Wirecard fraud is one of the more insane stories you can read on the subject of accounting based forensic journalism (McCrum wrote a book about the experience called “Money Men”). Trust me, it's more exciting than it sounds. There's Russian spies and shit.

* FT: ft.com/content/62df8d8d-31f2-4
* no paywall: archive.ph/CqQ9W

(h/t @Lazarou)

Screenshot of Financial Times headline: $1.4bn is a lot to fall through the cracks, even for Tesla When money spent on assets doesn't result in assets Photo at header: a printed copy of Musk’s nazi salute cut into a heart shape with the caption “Fier de financier l’extrême droite?” over someone else’s portrait on an vertical stone surface, past which a series of dark upright shapes which might be gravestones stand silhouetted against a late twilight sky beyond.
#FT#FTAlphaville#TSLA
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