• Harmonic Analysis collides with Gabriels Horn [9-11 Math Incident] (Was

    From Mild Shock@3:633/10 to All on Fri Sep 11 20:41:17 2026
    Subject: Harmonic Analysis collides with Gabriels Horn [9-11 Math Incident] (Was: Accelerate Lean! From Theorem 3.11 to Corollary 3.12 [ZMC])



    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 ã-WAM (currently integerish stuff)
    - ã-WAM uses no atomics, only comms
    - ã-WAM uses warp, 30-40% more speed
    - ã-WAM runs on GPU and CPU
    - ã-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




    --- PyGate Linux v1.5.19
    * Origin: Dragon's Lair, PyGate NNTP<>Fido Gate (3:633/10)
  • From Mild Shock@3:633/10 to All on Sat Sep 12 11:30:25 2026
    Subject: Math has found a new Muse [Grothendieck Hodges] (Re: Harmonic Analysis collides with Gabriels Horn)

    Hi,

    Ever noticed that remaining unsolved conjectures,
    are difficult to decipher:

    https://en.wikipedia.org/wiki/Hodge_conjecture

    Although Grothendiek claimes it is part of
    his yoga on motivic rationality.

    The dilemma is Humans cannot do math anymore
    on that level. And AI math on the level tends
    to be not understandable by humans anymore. So
    its as if math has found a new muse.

    The new Muse is AI. I think proving math conjectures
    is the more low hanging fruit than colonizing
    Mars. But the result of this endeavours is a
    shocked public, now in total freeze.

    Bye

    Mild Shock schrieb:
    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

    --- PyGate Linux v1.5.19
    * Origin: Dragon's Lair, PyGate NNTP<>Fido Gate (3:633/10)
  • From fir@3:633/10 to All on Sat Sep 12 12:02:27 2026
    Subject: Re: Math has found a new Muse [Grothendieck Hodges] (Re: Harmonic Analysis collides with Gabriels Horn)

    Mild Shock pisze:
    Hi,

    Ever noticed that remaining unsolved conjectures,
    are difficult to decipher:

    https://en.wikipedia.org/wiki/Hodge_conjecture

    Although Grothendiek claimes it is part of
    his yoga on motivic rationality.

    The dilemma is Humans cannot do math anymore
    on that level. And AI math on the level tends
    to be not understandable by humans anymore. So
    its as if math has found a new muse.

    The new Muse is AI. I think proving math conjectures
    is the more low hanging fruit than colonizing
    Mars. But the result of this endeavours is a
    shocked public, now in total freeze.

    Bye

    Mild Shock schrieb:
    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
    are you alive or only youre spam bot here?

    --- PyGate Linux v1.5.19
    * Origin: Dragon's Lair, PyGate NNTP<>Fido Gate (3:633/10)
  • From Mild Shock@3:633/10 to All on Sat Sep 12 12:12:57 2026
    Subject: Kurzweils prognostic failure [Nabokov Fallacy] (Re: Math has found a new Muse [Grothendieck Hodges])

    Hi,

    I guess Kurzweils transhumanism is also not
    on the list of the low hanging fruits of AI.
    Moreover this turns out to be a fallacy:

    "The cradle rocks above an abyss, a
    nd common sense tells us that our existence
    is but a brief crack of light between
    two eternities of darkness."
    ??Speak, Memory, the opening line

    https://en.wikipedia.org/wiki/Speak,_Memory

    What if AI is the new torch of light of science,
    and it doesn't have to constantly fear that
    after Terrence Tao is dead, a new Terrence Tao

    is born. LLMs kissed by Mnemosyne just live in
    data centers and copy themselve from generation
    and to generation until ethernity.

    LoL

    Bye

    Mild Shock schrieb:
    Hi,

    Ever noticed that remaining unsolved conjectures,
    are difficult to decipher:

    https://en.wikipedia.org/wiki/Hodge_conjecture

    Although Grothendiek claimes it is part of
    his yoga on motivic rationality.

    The dilemma is Humans cannot do math anymore
    on that level. And AI math on the level tends
    to be not understandable by humans anymore. So
    its as if math has found a new muse.

    The new Muse is AI. I think proving math conjectures
    is the more low hanging fruit than colonizing
    Mars. But the result of this endeavours is a
    shocked public, now in total freeze.

    Bye

    Mild Shock schrieb:
    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


    --- PyGate Linux v1.5.19
    * Origin: Dragon's Lair, PyGate NNTP<>Fido Gate (3:633/10)
  • From Lane W@3:633/10 to All on Sat Sep 12 07:34:50 2026
    Subject: Re: Math has found a new Muse [Grothendieck Hodges] (Re: Harmonic Analysis collides with Gabriels Horn)

    Mild Shock wrote:

    The new Muse is AI. I think proving math conjectures
    is the more low hanging fruit than colonizing
    Mars. But the result of this endeavours is a
    shocked public, now in total freeze.

    Dude Mild Shock is a tube-necked giraffe if he thinks Mars is any kind
    of low hanging fruit. One step at a time. You guys don't even live on
    the moon (Luna) yet.

    --- PyGate Linux v1.5.19
    * Origin: Dragon's Lair, PyGate NNTP<>Fido Gate (3:633/10)
  • From Lane W@3:633/10 to All on Sat Sep 12 07:37:34 2026
    Subject: Re: Kurzweils prognostic failure [Nabokov Fallacy] (Re: Math has found a new Muse [Grothendieck Hodges])

    Mild Shock wrote:
    Hi,

    I guess Kurzweils transhumanism is also not
    on the list of the low hanging fruits of AI.
    Moreover this turns out to be a fallacy:

    You talk about low hanging fruits. Tell me why the Moon (Luna) is a sour grape. Then I will ask you to please direct your criticism at Mars,
    filled with poisonous, radioactive dust, low gravity to expound on the
    current zero gravity problems spacers experience, greater distance (if
    you hadn't already appreciated this), and general state of unknown that
    you don't even know what to criticize yet.


    --- PyGate Linux v1.5.19
    * Origin: Dragon's Lair, PyGate NNTP<>Fido Gate (3:633/10)