Carbon-based computation:
#quantumbiology #quantumphysics #molecularbiology #computation #research

https://thequantuminsider.com/2025/03/30/study-finds-cells-may-compute-faster-than-todays-quantum-computers/

"“RNA folding is a very tough problem,” concedes Shi-Jie Chen, a computational biophysicist at the University of Missouri in Columbia. But AI, he adds, is getting “better and better”."

https://www.nature.com/articles/d41586-025-00920-8

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

There are problems in physics that are undecidable, even if you have all the initial information about the physical system.

"In math and computer science, researchers have long understood that some questions are fundamentally unanswerable. Now physicists are exploring how even ordinary physical systems put hard limits on what we can predict, even in principle."

https://www.quantamagazine.org/next-level-chaos-traces-the-true-limit-of-predictability-20250307/

If you are into numeric representations and error arithmetic, you’ll like this post.

https://chadnauseam.com/coding/random/calculator-app

/ht @brucelawson

"A calculator app? Anyone could make that.

Not true.

A calculator should show you the result of the mathematical expression you entered. That's much, much harder than it sounds.

What I'm about to tell you is the greatest calculator app development story ever told."

https://chadnauseam.com/coding/random/calculator-app

how they measure qubits

#Measurement #Qubit #FuturePhysics #AbstractScience #Reflections #Light #Silver #Blue #Engineering #Computation #DigitalAesthetic
#Img2img #AiArt #AiArtists #AiArtCommunity #StableDiffusion

on actual stuff: https://aieris.art/featured/how-they-measure-qubits-eris-and-ai.html

Yesterday, my #soundinstallation "Antechamber" opened at KW Institute for #ContemporaryArt in Berlin and will be on display until May 4. It is an inquiry into various timekeeping systems through rhythm, which sprang from my broader ongoing research on the origins and plurality of #computation

https://www.kw-berlin.de/en/jessica-ekomane-curatorial-interview/

#ITByte: #Cultural #Algorithms are a fascinating branch of #Evolutionary #Computation.

They draw inspiration from how human cultures evolve and transmit knowledge across generations to solve complex problems.

https://knowledgezone.co.in/posts/Cultural-Algorithms-67a6f6c22f5144d15cd48921

The #Public #Cloud

I’m more and more inclined a public cloud is the only humane response to the Techno-Feudalist/fascists of Silicon Valley & beyond.

There will be so many #bots, so much #scam that each of us will have to run #machinelearning models just to survive the new post-#ai age.

#Digital #citizens should demand secure #computation cycles as a natural right, because that is the world about to begin.

It is the only answer to #LuxurySurveillance #dataheist #capitalism: Run your own.

Riffs and Rotes • Happy New Year 2025
• https://inquiryintoinquiry.com/2025/01/01/riffs-and-rotes-happy-new-year-2025/

\( \text{Let} ~ p_n = \text{the} ~ n^\text{th} ~ \text{prime}. \)

\( \text{Then} ~ 2025
= 81 \cdot 25
= 3^4 5^2 \)

\( = {p_2}^4 {p_3}^2
= {p_2}^{{p_1}^{p_1}} {p_3}^{p_1}
= {p_{p_1}}^{{p_1}^{p_1}} {p_{p_2}}^{p_1}
= {p_{p_1}}^{{p_1}^{p_1}} {p_{p_{p_1}}}^{p_1} \)

No information is lost by dropping the terminal 1s. Thus we may write the following form.

\[ 2025 = {p_p}^{p^p} {p_{p_p}}^p \]

The article linked below tells how forms of that sort correspond to a family of digraphs called “riffs” and a family of graphs called “rotes”. The riff and rote for 2025 are shown in the next two Figures.

Riff 2025
• https://inquiryintoinquiry.files.wordpress.com/2025/01/riff-2025.png

Rote 2025
• https://inquiryintoinquiry.files.wordpress.com/2025/01/rote-2025.png

Reference —

Riffs and Rotes
• https://oeis.org/wiki/Riffs_and_Rotes

#Arithmetic #Combinatorics #Computation #Factorization #GraphTheory #GroupTheory
#Logic #Mathematics #NumberTheory #Primes #Recursion #Representation #RiffsAndRotes