#quadratic — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #quadratic, aggregated by home.social.
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Quadratic memory reductions for Zero-knowledge Proofs
https://github.com/logannye/space-efficient-zero-knowledge-proofs
#HackerNews #Quadratic #Memory #Reductions #Zero-Knowledge #Proofs #Cryptography #Blockchain #Research
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Quadratic memory reductions for Zero-knowledge Proofs
https://github.com/logannye/space-efficient-zero-knowledge-proofs
#HackerNews #Quadratic #Memory #Reductions #Zero-Knowledge #Proofs #Cryptography #Blockchain #Research
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Quadratic memory reductions for Zero-knowledge Proofs
https://github.com/logannye/space-efficient-zero-knowledge-proofs
#HackerNews #Quadratic #Memory #Reductions #Zero-Knowledge #Proofs #Cryptography #Blockchain #Research
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Quadratic memory reductions for Zero-knowledge Proofs
https://github.com/logannye/space-efficient-zero-knowledge-proofs
#HackerNews #Quadratic #Memory #Reductions #Zero-Knowledge #Proofs #Cryptography #Blockchain #Research
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Quadratic memory reductions for Zero-knowledge Proofs
https://github.com/logannye/space-efficient-zero-knowledge-proofs
#HackerNews #Quadratic #Memory #Reductions #Zero-Knowledge #Proofs #Cryptography #Blockchain #Research
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@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 -
@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 -
@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 -
@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 -
@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 -
Why weren't you taught the cubic formula?
https://www.youtube.com/watch?v=N-KXStupwsc
#Mathologer #BurkardPolster @Mathologer
#NumberTheory #algebra #geometry
#quadratic #cubic #polynomial
#maths #mathematics #education
#math -
Why weren't you taught the cubic formula?
https://www.youtube.com/watch?v=N-KXStupwsc
#Mathologer #BurkardPolster @Mathologer
#NumberTheory #algebra #geometry
#quadratic #cubic #polynomial
#maths #mathematics #education
#math -
Why weren't you taught the cubic formula?
https://www.youtube.com/watch?v=N-KXStupwsc
#Mathologer #BurkardPolster @Mathologer
#NumberTheory #algebra #geometry
#quadratic #cubic #polynomial
#maths #mathematics #education
#math -
Why weren't you taught the cubic formula?
https://www.youtube.com/watch?v=N-KXStupwsc
#Mathologer #BurkardPolster @Mathologer
#NumberTheory #algebra #geometry
#quadratic #cubic #polynomial
#maths #mathematics #education
#math -
One day, one decomposition
A198773: Numbers having exactly two representations by the quadratic form x^2+xy+y^2 with 0<=x<=y3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A198773.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A198773.html#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #representations #quadratic #form #graph #threejs #webGL
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One day, one decomposition
A198773: Numbers having exactly two representations by the quadratic form x^2+xy+y^2 with 0<=x<=y3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A198773.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A198773.html#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #representations #quadratic #form #graph #threejs #webGL
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One day, one decomposition
A198773: Numbers having exactly two representations by the quadratic form x^2+xy+y^2 with 0<=x<=y3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A198773.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A198773.html#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #representations #quadratic #form #graph #threejs #webGL
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One day, one decomposition
A198773: Numbers having exactly two representations by the quadratic form x^2+xy+y^2 with 0<=x<=y3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A198773.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A198773.html#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #representations #quadratic #form #graph #threejs #webGL
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One day, one decomposition
A198773: Numbers having exactly two representations by the quadratic form x^2+xy+y^2 with 0<=x<=y3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A198773.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A198773.html#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #representations #quadratic #form #graph #threejs #webGL
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One day, one decomposition
A198772: Numbers having exactly one representation by the quadratic form x^2 + xy + y^2 with 0 <= x <= y3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A198772.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A198772.html#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #representation #quadratic #graph #threejs #webGL
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One day, one decomposition
A198772: Numbers having exactly one representation by the quadratic form x^2 + xy + y^2 with 0 <= x <= y3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A198772.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A198772.html#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #representation #quadratic #graph #threejs #webGL
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One day, one decomposition
A198772: Numbers having exactly one representation by the quadratic form x^2 + xy + y^2 with 0 <= x <= y3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A198772.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A198772.html#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #representation #quadratic #graph #threejs #webGL
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One day, one decomposition
A198772: Numbers having exactly one representation by the quadratic form x^2 + xy + y^2 with 0 <= x <= y3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A198772.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A198772.html#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #representation #quadratic #graph #threejs #webGL
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One day, one decomposition
A198772: Numbers having exactly one representation by the quadratic form x^2 + xy + y^2 with 0 <= x <= y3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A198772.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A198772.html#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #representation #quadratic #graph #threejs #webGL
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One day, one decomposition
A094619: Fundamental discriminants of real quadratic number fields with class number 23D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A094619.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A094619.html#decompwlj #maths #mathematics #OEIS #javascript #php #3D #numbers #graph #threejs #webGL #fundamental #discriminants #real #quadratic #number #fields #class
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One day, one decomposition
A094619: Fundamental discriminants of real quadratic number fields with class number 23D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A094619.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A094619.html#decompwlj #maths #mathematics #OEIS #javascript #php #3D #numbers #graph #threejs #webGL #fundamental #discriminants #real #quadratic #number #fields #class
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One day, one decomposition
A094619: Fundamental discriminants of real quadratic number fields with class number 23D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A094619.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A094619.html#decompwlj #maths #mathematics #OEIS #javascript #php #3D #numbers #graph #threejs #webGL #fundamental #discriminants #real #quadratic #number #fields #class
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One day, one decomposition
A094619: Fundamental discriminants of real quadratic number fields with class number 23D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A094619.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A094619.html#decompwlj #maths #mathematics #OEIS #javascript #php #3D #numbers #graph #threejs #webGL #fundamental #discriminants #real #quadratic #number #fields #class
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One day, one decomposition
A094619: Fundamental discriminants of real quadratic number fields with class number 23D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A094619.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A094619.html#decompwlj #maths #mathematics #OEIS #javascript #php #3D #numbers #graph #threejs #webGL #fundamental #discriminants #real #quadratic #number #fields #class
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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) https://mastodon.gamedev.place/@fatlimey/110584284601341773
2) https://gist.github.com/Marc-B-Reynolds/7dee8803d22532e12d2a973c16a33897
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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) https://mastodon.gamedev.place/@fatlimey/110584284601341773
2) https://gist.github.com/Marc-B-Reynolds/7dee8803d22532e12d2a973c16a33897
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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) https://mastodon.gamedev.place/@fatlimey/110584284601341773
2) https://gist.github.com/Marc-B-Reynolds/7dee8803d22532e12d2a973c16a33897
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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) https://mastodon.gamedev.place/@fatlimey/110584284601341773
2) https://gist.github.com/Marc-B-Reynolds/7dee8803d22532e12d2a973c16a33897
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Once again I solve a #cubic #equation using the famous method. I explain a little bit how to solve the equation, and then switch to #python to solve the #quadratic equation, and then print all 3 solutions.
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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?
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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?
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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?
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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?
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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?
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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.
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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.