Weierstrass Substitution as a Special Case of the USM Framework:
https://geometriadominicana.blogspot.com/2025/12/weierstrass-as-special-case-of-usm.html

#math #calculus #Weierstrass #USM #framework #euler #unification #integral #integration

Measure And Derivative A Unified Approach by G.E. Shilov; B.L. Gurevich

This volume is intended as a textbook for students of
mathematics and physics, at the graduate or advanced
undergraduate level. It should also be intelligible to
readers with a good background in advanced calculus
and sufficient “mathematical maturity.”
The phrase “unified approach” in the title of the book
refers to the consistent use of the Daniell scheme, which
starts from the concept of an elementary integral defined
(axiomatically) on a family of elementary functions. In
the Introduction we explain in detail why we prefer
this approach to others, in particular to the Lebesgue-
Radon-Frechet approach, which starts from axiomatic
measure theory.

Revised English Edition
Translated and Edited by Richard A. Silverman

You can get the book here and here.

#1966 #derivative #higherMathematics #integral #lebesgueIntegral #LeviSTheorem #mathematics #measureTheory #physics #RiemannIntegral #sovietLiterature #StieltjesIntegral #theoryOfIntegral

#ThisWeeksFiddler, 20251212
This week the #puzzle is: Can You Topple the Tower? #geometry #trigonometry #CenterOfMass #integral A block tower consists of a solid rectangular prism whose height is 2 and whose base is a square of side length 1. A second prism, made of the same material, and with a base that’s L by 1 and a […]

https://stuff.ommadawn.dk/2025/12/16/thisweeksfiddler-20251212/

...What the fuck? #aiml #agi #integral #JadTarifi I don't have the spoons to unpack this right now.

https://www.singularityweblog.com/jad-tarifi-agi/

https://www.integral.ai/agi

“Integral: An Introduction”

Imagine a society that doesn’t need a brand‑new invention, just a smarter wiring of the good stuff we already do. Peter Joseph’s “Integral” is exactly that – a bottom‑up, evidence‑based architecture that stitches together the tiny, successful pockets of human cooperation we see everywhere (co‑ops, mutual aid networks, open‑source projects, community gardens…) and runs them through systems‑science + cybernetics to forge a parallel economy capable of scaling up and out‑competing the runaway market machine.

In plain English: the future isn’t a sci‑fi fantasy; it’s the sum of all the little experiments that already work, wired together into a humane, climate‑safe, rights‑first economic backbone. If we let those micro‑patterns integrate instead of being crushed by profit‑driven “innovation,” we get a post‑scarcity world that actually respects human rights, biodiversity, and the right to privacy.

🔗 Read the full article: https://peterjoseph.substack.com/p/integral-an-introduction

#Integral #FutureEconomy #SystemsThinking #Progressive #DataPrivacy #Futurism #SciFi #NoMoreMarkets

#ThisWeeksFiddler, 20251017
This week the #puzzle is: Can You Reach the Edge of the Square? #average #geometry #trigonometry #integral You start at the center of the unit square and then pick a random direction to move in, with all directions being equally likely. You move along this chosen direction until you reach a point on the perimeter […]

https://stuff.ommadawn.dk/2025/10/21/thisweeksfiddler-20251017/

The 29th October this year will be the 350th birthday (as far as anyone knows) of the long-S integration symbol.
Is anyone planning any events to celebrate this great occasion?

"It will be useful to write this symbol for omnia..." - Leibniz, 29 Oct 1675

#Leibniz #calculus #integral #maths #mathematics #history #physics
@standupmaths

#ThisWeeksFiddler, 20250808
This week the #puzzle is: Can You Canoodle at the Coldplay Concert? #probabilities #geometry #integral #estimat #montecarlo All the many attendees at a particular Coldplay concert are couples. As the CEO of Astrometrics, Inc., you are in attendance with your romantic partner, who is definitely not the head of HR at Astrometrics, Inc. During the […]

https://stuff.ommadawn.dk/2025/08/12/thisweeksfiddler-20250808/

Peter Joseph's next project #Integral looks promising, though his paper on it isn't out yet, neither is the movie. I've been hoping for something to happen in the #PostCapitalism space. This might be the time to start an organization around post-capitalism. Anyone on here interested in these topics, or know where to find people who are?

Here's an overview video he made if you're interested: https://youtu.be/ZVjaeYYT8aE