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#amplitude

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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: 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

#Amplitude, the studio behind #Humankind, has announced last weekend thesixthaxis.com/2024/11/09/am that they will become an independent studio, not anymore affiliated with #SEGA. The owners apparently bought the company back, and will probably be looking for another interesting project. Join us to discuss this here: forums.civfanatics.com/threads

Farbraumtiefe Werke jenseits der Grenzen des klassischen Gemäldes: Nadine Schemmann bevorzugt #Leinen als Malträger und lässt Fäden oder Nähte hervorragen, an denen Farbinseln entstehen. Ausgangspunkt ihrer Kunst sind #Erinnerungen an synästhetische #Erlebnisse vergangener #Begegnungen.

Im #Museum Wiesbaden könnt ihr die #Ausstellung „Amplituden Intervention“ noch bis 7. April 2024 anschauen. #Kunst #Kultur #Amplitude #Intervention

Infos: museum-wiesbaden.de

When your #iOS app doesn't have user accounts (no sign up/log in & no uuid provided by a server), how do you manage identity in analytics and reporting tools? Leave everything anonymous? Pass a UUID as a custom attribute?

I currently create my own UUID that I use for #RevenueCat, #Amplitude and #Sentry. This way I can find a user across the different tools for support. But I don’t handle multi devices: the same user will count multiple times and I won’t have a way to view the full user journey.