Harmonic Analysis collides with Gabriels Horn [9-11 Math Incident] (Was: Accelerate Lean! From Theorem 3.11 to Corollary 3.12 [ZMC])

From	Mild Shock <janburse@fastmail.fm>
Newsgroups	comp.lang.prolog, sci.logic, sci.math
Subject	Harmonic Analysis collides with Gabriels Horn [9-11 Math Incident] (Was: Accelerate Lean! From Theorem 3.11 to Corollary 3.12 [ZMC])
Date	2026-09-11 20:38 +0200
Message-ID	<1181hr5$3de6$1@solani.org> (permalink)
References	(1 earlier) <10p4dif$1nve7$1@solani.org> <112b732$20pmt$1@solani.org> <112b7iu$20q3i$1@solani.org> <113cqbm$85b9$1@solani.org> <113ilkt$2ouu$1@solani.org>

Cross-posted to 3 groups.

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Hi,

Disclaimer: I don't know what I am talking
about. But I like the vibe behind connecting
topics. So here we go:

How it started:

Gabriels Horn
Gabriel's horn, also called Torricelli's trumpet,
is the surface of revolution of the function y=1/x
about the x-axis for x>=1. It has infinite
surface area but finite volume.
https://mathworld.wolfram.com/GabrielsHorn.html

How its going:

FINITE TIME BLOWUP FOR NAVIER–STOKES
or every positive viscosity, we construct a solution
of the three-dimensional incompressible Navier–Stokes
equations that starts from rest and develops unbounded
velocity in finite time while maintaining uniformly
bounded kinetic energy
https://cdn.openai.com/pdf/32d9f210-8b73-45e0-91bc-82a30aef8a9a/navier-stokes.pdf

Hava Fun everbody!

Bye

Mild Shock schrieb:
> Hi,
> 
> Accelerate Lean! And get from Theorem 3.11
> to Corollary 3.12 done.
> 
> PROJECT LANA INTERIM REPORT ON IUT THEORY
> ZEN Mathematics Center - 2026/07/17
> https://zen.ac.jp/en/zmc
> 
> ZMC（ZEN Mathematics Center) is an international
> research institute established with the aim
> of promoting and developing modern mathematics
> 
> with a focus on arithmetic geometry and the
> formalization of modern mathematics using
> computer languages
> 
> LoL
> 
> Bye
> 
> Mild Shock schrieb:
>> Hi,
>>
>> Maybe I should write a blog post, titled
>> Introduction to AI Accelerator Prolog:
>>
>> - specialized jobs π-WAM (currently integerish stuff)
>> - π-WAM uses no atomics, only comms
>> - π-WAM uses warp, 30-40% more speed
>> - π-WAM runs on GPU and CPU
>> - π-WAM runs from within JavaScript, Python and Java
>>
>> Feels like reinventing FGCS concurrent
>> logic programming.
>>
>> LoL
>>
>> Bye
>>
>> Mild Shock schrieb:
>>> Hi,
>>>
>>> So the idea is to cover backtracking without
>>> stack and choice points, only with registers.
>>> So at the compute goto will use an instruction
>>>
>>> that stores the PC target into a register,
>>> a new instruction for Hack:
>>>
>>>     REG = PC + REL
>>>
>>> And then the jump will be, again a new
>>> instruction for Hack:
>>>
>>>     PC = REG
>>>
>>> If we squeeze the lemon and compile as much
>>> with that, we will only find that it breaks for
>>> calling recursive predicates that can use
>>>
>>> arbitary registers and choice points. But we
>>> could maybe add stack and choice point as an
>>> after match, instead of the classical WAM design
>>>
>>> that starts with stack and choice points!
>>>
>>> Bye
>>>
>>> Mild Shock schrieb:
>>>> Hi,
>>>>
>>>> pi-WAM is a nice challenge, since its aim is to go
>>>> even blow the instruction set of SWI-Prolog,
>>>> while only using a Hack variant as instruction
>>>>
>>>> stream. But what is Hack? Well Hack seems to be
>>>> the missing legacy of Niclaus Wirths PL0. The
>>>> Hack (machine .asm) and Jack (highlevel compiler
>>>>
>>>> generating .vm which can be converted to .asm)
>>>> combo makes even the famous Crafting Interpreters
>>>> /Lox by Bob Nystrom redundant:
>>>>
>>>> Nand to Tetris courses are taught at 400+
>>>> universities, high schools, and bootcamps. The
>>>> students who take them range from high
>>>> schoolers to Ph.D. students to
>>>> https://www.nand2tetris.org/
>>>>
>>>> But digging deaper in Hack, it has no functions
>>>> pointers so objects don't use virtual tables.
>>>> But what will pi-WAM need and that is not yet
>>>>
>>>> in Hack? Given that my pi-WAM doesn't want a stack
>>>> nor a choice point lists? Currently there is the
>>>> idea to add a computed goto and that it can
>>>>
>>>> cover a more lightweight C_OR as known from
>>>> SWI-Prolog, that would have the C_OR branches
>>>> maybe restricted to have no outside
>>>>
>>>> clause calls? Lets see. Not yet sure.
>>>>
>>>> Bye
>>
>

Thread

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    Salary Templates if you "Grok" ML / AI [PhDs Negotiate Salaries] (Re: Prolog Education Group clueless about the AI Boom?) Mild Shock <janburse@fastmail.fm> - 2025-03-03 18:03 +0100
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    Re: ILP is still dreaming of higher order (Was: Prolog Education Group clueless about the AI Boom?) Mild Shock <janburse@fastmail.fm> - 2025-03-08 00:00 +0100
  FYI: Philip Zucker’s Co-Egraphs (Was: Prolog Education Group clueless about the AI Boom?) Mild Shock <janburse@fastmail.fm> - 2025-08-12 18:37 +0200
    Using Hopcroft & Karp (HK) everywhere (Was: FYI: Philip Zucker’s Co-Egraphs) Mild Shock <janburse@fastmail.fm> - 2025-08-14 12:31 +0200
      Confusing "decidable problem" and "complete algorithm" (Was: Using Hopcroft & Karp (HK) everywhere) Mild Shock <janburse@fastmail.fm> - 2025-08-14 14:31 +0200
        DFA algorithms in a Python library (Re: Confusing "decidable problem" and "complete algorithm") Mild Shock <janburse@fastmail.fm> - 2025-08-14 15:14 +0200
      Static Variable Shunting in Dogelog Player (Was: Using Hopcroft & Karp (HK) everywhere) Mild Shock <janburse@fastmail.fm> - 2025-08-16 11:22 +0200
        Dynamic Variable Shunting in WebPL (Was: Static Variable Shunting in Dogelog Player) Mild Shock <janburse@fastmail.fm> - 2025-08-16 11:34 +0200
          SWI-Prolog is still the OG of GC (Was: Dynamic Variable Shunting in WebPL) Mild Shock <janburse@fastmail.fm> - 2025-08-16 11:46 +0200
            Cyclic Term Unification is Accounted (Was: SWI-Prolog is still the OG of GC) Mild Shock <janburse@fastmail.fm> - 2025-08-16 11:59 +0200
            WebPL is an interesting project (Was: SWI-Prolog is still the OG of GC) Mild Shock <janburse@fastmail.fm> - 2025-08-17 18:00 +0200
              Head to Head Race with Scryer Prolog (Was: WebPL is an interesting project) Mild Shock <janburse@fastmail.fm> - 2025-08-17 18:24 +0200
                Does Variable Age make Sense? [Prolog Unification] (Was: Head to Head Race with Scryer Prolog) Mild Shock <janburse@fastmail.fm> - 2026-02-10 12:05 +0100
                Type systems for non-deterministic concurrency [Amir Pnueli] (Was: Does Variable Age make Sense? [Prolog Unification]) Mild Shock <janburse@fastmail.fm> - 2026-07-20 12:20 +0200
                Robin Milners fickle gives non-determinism in practice [Parallel π-WAM] (Was: Type systems for non-deterministic concurrency [Amir Pnueli]) Mild Shock <janburse@fastmail.fm> - 2026-07-20 12:34 +0200
  Sleepy Joe and the Poor South (Local AI Emacs Mode) (Re: Prolog Education Group clueless about the AI Boom?) Mild Shock <janburse@fastmail.fm> - 2025-11-12 12:59 +0100
    Beyond Sleepy Joe around the World (Was: Sleepy Joe and the Poor South (Local AI Emacs Mode)) Mild Shock <janburse@fastmail.fm> - 2025-11-12 13:12 +0100
  GENESIS MISSION: Loosing it over Deep Pokets [Business wants A-Life] (Was: Prolog Education Group clueless about the AI Boom?) Mild Shock <janburse@fastmail.fm> - 2025-11-26 18:07 +0100
  Vanilla Prolog: semi-decidable =\= decidable (Re: Prolog Education Group clueless about the AI Boom?) Mild Shock <janburse@fastmail.fm> - 2026-03-14 20:40 +0100
    Its on the Internet, so it must be true? (Was: Vanilla Prolog: semi-decidable =\= decidable) Mild Shock <janburse@fastmail.fm> - 2026-03-16 11:01 +0100
    Hack + Computed Goto = Leightweigh C_OR (Was: Vanilla Prolog: semi-decidable =\= decidable) Mild Shock <janburse@fastmail.fm> - 2026-07-04 16:58 +0200
      The stack and choice points as an after match (Re: Hack + Computed Goto = Leightweigh C_OR) Mild Shock <janburse@fastmail.fm> - 2026-07-04 17:07 +0200
        Introduction to AI Accelerator Prolog [π-WAM of Dogelog] (Was: The stack and choice points as an after match) Mild Shock <janburse@fastmail.fm> - 2026-07-17 10:49 +0200
          Not praying to the god of lambda calculus [π beats α] (Was: Introduction to AI Accelerator Prolog [π-WAM of Dogelog]) Mild Shock <janburse@fastmail.fm> - 2026-07-17 11:13 +0200
          pi in pi-WAM refers to pi-calculus (Re: Introduction to AI Accelerator Prolog [π-WAM of Dogelog]) Mild Shock <janburse@fastmail.fm> - 2026-07-18 01:22 +0200
            Milners fickle() in pi-WAM [For fun and profit] (Re: pi in pi-WAM refers to pi-calculus (Re: Introduction to AI Accelerator Prolog [π-WAM of Dogelog]) Mild Shock <janburse@fastmail.fm> - 2026-07-18 01:49 +0200
              Robin Milners pi calculus is typeless (Re: Milners fickle() in pi-WAM [For fun and profit]) Mild Shock <janburse@fastmail.fm> - 2026-07-18 11:00 +0200
                Can the Church Turing hypotheses be refuted? [TLo @ FOM] (Re: Robin Milners pi calculus is typeless) Mild Shock <janburse@fastmail.fm> - 2026-07-18 11:10 +0200
          Accelerate Lean! From Theorem 3.11 to Corollary 3.12 [ZMC] (Was: Introduction to AI Accelerator Prolog [π-WAM of Dogelog]) Mild Shock <janburse@fastmail.fm> - 2026-07-19 16:06 +0200
            ANN: Library Pegg, for π-E-graphs [Not EXWM] (Was: Accelerate Lean! From Theorem 3.11 to Corollary 3.12 [ZMC]) Mild Shock <janburse@fastmail.fm> - 2026-07-19 16:21 +0200
            Harmonic Analysis collides with Gabriels Horn [9-11 Math Incident] (Was: Accelerate Lean! From Theorem 3.11 to Corollary 3.12 [ZMC]) Mild Shock <janburse@fastmail.fm> - 2026-09-11 20:38 +0200
              Math has found a new Muse [Grothendieck Hodges] (Was: Harmonic Analysis collides with Gabriels Horn) Mild Shock <janburse@fastmail.fm> - 2026-09-12 11:26 +0200
                Kurzweils prognostic failure [Nabokov Fallacy] (Re: Math has found a new Muse [Grothendieck Hodges]) Mild Shock <janburse@fastmail.fm> - 2026-09-12 12:14 +0200
        From short-cut parallelism to true parallelism [π-WAM Musings] (Was: The stack and choice points as an after match) Mild Shock <janburse@fastmail.fm> - 2026-08-27 17:55 +0200

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