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#quadratic — Public Fediverse posts

Live and recent posts from across the Fediverse tagged #quadratic, aggregated by home.social.

  1. @jwildeboer All the "we promise not to be evil" megacorps made an instant about face when they realized they needed to build a nuclear reactor to power their "AI Datacenter". It's pretty juicy.

    The problem is, they are assuming that the current technology scales, which is rather obviously a little bit dumb. Your brain needs about 30 watts, not a 30 MW Datacenter

    Transformers are O(n^2). The solution is *never* going to be "just make n bigger".
    By the time your datacenter is half built, some 24 year old will figure out an architecture that blows Transformers out of the water

    #quadratic #transformer #brains

  2. @jwildeboer All the "we promise not to be evil" megacorps made an instant about face when they realized they needed to build a nuclear reactor to power their "AI Datacenter". It's pretty juicy.

    The problem is, they are assuming that the current technology scales, which is rather obviously a little bit dumb. Your brain needs about 30 watts, not a 30 MW Datacenter

    Transformers are O(n^2). The solution is *never* going to be "just make n bigger".
    By the time your datacenter is half built, some 24 year old will figure out an architecture that blows Transformers out of the water

    #quadratic #transformer #brains

  3. @jwildeboer All the "we promise not to be evil" megacorps made an instant about face when they realized they needed to build a nuclear reactor to power their "AI Datacenter". It's pretty juicy.

    The problem is, they are assuming that the current technology scales, which is rather obviously a little bit dumb. Your brain needs about 30 watts, not a 30 MW Datacenter

    Transformers are O(n^2). The solution is *never* going to be "just make n bigger".
    By the time your datacenter is half built, some 24 year old will figure out an architecture that blows Transformers out of the water

    #quadratic #transformer #brains

  4. @jwildeboer All the "we promise not to be evil" megacorps made an instant about face when they realized they needed to build a nuclear reactor to power their "AI Datacenter". It's pretty juicy.

    The problem is, they are assuming that the current technology scales, which is rather obviously a little bit dumb. Your brain needs about 30 watts, not a 30 MW Datacenter

    Transformers are O(n^2). The solution is *never* going to be "just make n bigger".
    By the time your datacenter is half built, some 24 year old will figure out an architecture that blows Transformers out of the water

    #quadratic #transformer #brains

  5. @jwildeboer All the "we promise not to be evil" megacorps made an instant about face when they realized they needed to build a nuclear reactor to power their "AI Datacenter". It's pretty juicy.

    The problem is, they are assuming that the current technology scales, which is rather obviously a little bit dumb. Your brain needs about 30 watts, not a 30 MW Datacenter

    Transformers are O(n^2). The solution is *never* going to be "just make n bigger".
    By the time your datacenter is half built, some 24 year old will figure out an architecture that blows Transformers out of the water

    #quadratic #transformer #brains

  6. One day, one decomposition
    A198773: Numbers having exactly two representations by the quadratic form x^2+xy+y^2 with 0<=x<=y

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A198773.
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #representations #quadratic #form #graph #threejs #webGL

  7. One day, one decomposition
    A198773: Numbers having exactly two representations by the quadratic form x^2+xy+y^2 with 0<=x<=y

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A198773.
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #representations #quadratic #form #graph #threejs #webGL

  8. One day, one decomposition
    A198773: Numbers having exactly two representations by the quadratic form x^2+xy+y^2 with 0<=x<=y

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A198773.
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #representations #quadratic #form #graph #threejs #webGL

  9. One day, one decomposition
    A198773: Numbers having exactly two representations by the quadratic form x^2+xy+y^2 with 0<=x<=y

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A198773.
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #representations #quadratic #form #graph #threejs #webGL

  10. One day, one decomposition
    A198773: Numbers having exactly two representations by the quadratic form x^2+xy+y^2 with 0<=x<=y

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A198773.
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #representations #quadratic #form #graph #threejs #webGL

  11. One day, one decomposition
    A198772: Numbers having exactly one representation by the quadratic form x^2 + xy + y^2 with 0 <= x <= y

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A198772.
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #representation #quadratic #graph #threejs #webGL

  12. One day, one decomposition
    A198772: Numbers having exactly one representation by the quadratic form x^2 + xy + y^2 with 0 <= x <= y

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A198772.
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #representation #quadratic #graph #threejs #webGL

  13. One day, one decomposition
    A198772: Numbers having exactly one representation by the quadratic form x^2 + xy + y^2 with 0 <= x <= y

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A198772.
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #representation #quadratic #graph #threejs #webGL

  14. One day, one decomposition
    A198772: Numbers having exactly one representation by the quadratic form x^2 + xy + y^2 with 0 <= x <= y

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A198772.
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #representation #quadratic #graph #threejs #webGL

  15. One day, one decomposition
    A198772: Numbers having exactly one representation by the quadratic form x^2 + xy + y^2 with 0 <= x <= y

    3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A198772.
    2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

    #decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #representation #quadratic #graph #threejs #webGL

  16. I have some thoughts I'm attempting to write up WRT that quadratic paper (1) shared by @fatlimey. But anyway since probably most peeps seeing this are interested in single precision results....handling that case (if you can promote to doubles) is almost no work (2) at all. (Of course it's all moot if spurious over/underflows aren't a concern)

    1) mastodon.gamedev.place/@fatlim

    2) gist.github.com/Marc-B-Reynold

    #FloatingPoint #quadratic

  17. I have some thoughts I'm attempting to write up WRT that quadratic paper (1) shared by @fatlimey. But anyway since probably most peeps seeing this are interested in single precision results....handling that case (if you can promote to doubles) is almost no work (2) at all. (Of course it's all moot if spurious over/underflows aren't a concern)

    1) mastodon.gamedev.place/@fatlim

    2) gist.github.com/Marc-B-Reynold

    #FloatingPoint #quadratic

  18. I have some thoughts I'm attempting to write up WRT that quadratic paper (1) shared by @fatlimey. But anyway since probably most peeps seeing this are interested in single precision results....handling that case (if you can promote to doubles) is almost no work (2) at all. (Of course it's all moot if spurious over/underflows aren't a concern)

    1) mastodon.gamedev.place/@fatlim

    2) gist.github.com/Marc-B-Reynold

    #FloatingPoint #quadratic

  19. I have some thoughts I'm attempting to write up WRT that quadratic paper (1) shared by @fatlimey. But anyway since probably most peeps seeing this are interested in single precision results....handling that case (if you can promote to doubles) is almost no work (2) at all. (Of course it's all moot if spurious over/underflows aren't a concern)

    1) mastodon.gamedev.place/@fatlim

    2) gist.github.com/Marc-B-Reynold

    #FloatingPoint #quadratic

  20. Once again I solve a using the famous method. I explain a little bit how to solve the equation, and then switch to to solve the equation, and then print all 3 solutions.

    qr.ae/prmQES

  21. What I find interesting is: b^2 -4ac > 0 can be rewritten to say that the arithmetic mean of roots is > geometric mean. But what even IS geometric mean for two complex numbers?

    #math #mathematics #quadratic #equations

  22. What I find interesting is: b^2 -4ac > 0 can be rewritten to say that the arithmetic mean of roots is > geometric mean. But what even IS geometric mean for two complex numbers?

  23. What I find interesting is: b^2 -4ac > 0 can be rewritten to say that the arithmetic mean of roots is > geometric mean. But what even IS geometric mean for two complex numbers?

    #math #mathematics #quadratic #equations

  24. What I find interesting is: b^2 -4ac > 0 can be rewritten to say that the arithmetic mean of roots is > geometric mean. But what even IS geometric mean for two complex numbers?

    #math #mathematics #quadratic #equations

  25. What I find interesting is: b^2 -4ac > 0 can be rewritten to say that the arithmetic mean of roots is > geometric mean. But what even IS geometric mean for two complex numbers?

    #math #mathematics #quadratic #equations

  26. This plane represents all possible #quadratic #equations with real coefficients.

    The area in red is where both roots are real because the discriminant b^2 - 4ac is > 0. All the quadratics with imaginary roots lie inside the white region that's a parabola itself.

    Interesting.

    #maths

  27. This plane represents all possible with real coefficients.

    The area in red is where both roots are real because the discriminant b^2 - 4ac is > 0. All the quadratics with imaginary roots lie inside the white region that's a parabola itself.

    Interesting.