you can fit polynomials to any data with enough polynomials
November 9, 2026 at 11:31 PM
you can fit polynomials to any data with enough polynomials
In #MathsToday, a student remarked on how comparing coefficients of polynomials felt very like comparing components of vectors.
My work here is done.
#ALevelMaths #UKMathsChat #ITeachMaths
My work here is done.
#ALevelMaths #UKMathsChat #ITeachMaths
November 5, 2026 at 6:41 PM
In #MathsToday, a student remarked on how comparing coefficients of polynomials felt very like comparing components of vectors.
My work here is done.
#ALevelMaths #UKMathsChat #ITeachMaths
My work here is done.
#ALevelMaths #UKMathsChat #ITeachMaths
Tonight me and my students are working on polynomials.
November 5, 2026 at 10:58 PM
Tonight me and my students are working on polynomials.
Ruikai Chen: Permutation polynomials from quadratic and linear forms https://arxiv.org/abs/2611.09629 https://arxiv.org/pdf/2611.09629 https://arxiv.org/html/2611.09629
November 9, 2026 at 6:49 AM
Ruikai Chen: Permutation polynomials from quadratic and linear forms https://arxiv.org/abs/2611.09629 https://arxiv.org/pdf/2611.09629 https://arxiv.org/html/2611.09629
I'm surprised nobody at the previous job told us "just evaluate the polynomials using horner's method"
November 5, 2026 at 4:16 AM
I'm surprised nobody at the previous job told us "just evaluate the polynomials using horner's method"
I got something really cool but I don't think I proved Zaremba's conjecture for polynomials over finite fields...... yet. (Growth mindset 🌱)
November 5, 2026 at 3:30 PM
I got something really cool but I don't think I proved Zaremba's conjecture for polynomials over finite fields...... yet. (Growth mindset 🌱)
Borys Kadets, Dan Mangoubi: Root sharing and $2$-adic interpolation for Legendre polynomials https://arxiv.org/abs/2611.09312 https://arxiv.org/pdf/2611.09312 https://arxiv.org/html/2611.09312
November 9, 2026 at 6:49 AM
Borys Kadets, Dan Mangoubi: Root sharing and $2$-adic interpolation for Legendre polynomials https://arxiv.org/abs/2611.09312 https://arxiv.org/pdf/2611.09312 https://arxiv.org/html/2611.09312
you know how some kids will turn anything into Pokemon, well this is my Pokemon. gotta catch em all (infinite polynomials)
November 5, 2026 at 6:39 PM
you know how some kids will turn anything into Pokemon, well this is my Pokemon. gotta catch em all (infinite polynomials)
Yu Pan - Augmentations and ruling polynomials - IPAM at UCLA
Institute for Pure & Applied Mathematics (IPAM)
youtu.be/uKJ1YEYhFYM?...
Institute for Pure & Applied Mathematics (IPAM)
youtu.be/uKJ1YEYhFYM?...
Yu Pan - Augmentations and ruling polynomials - IPAM at UCLA
YouTube video by Institute for Pure & Applied Mathematics (IPAM)
youtu.be
November 10, 2026 at 3:29 AM
Yu Pan - Augmentations and ruling polynomials - IPAM at UCLA
Institute for Pure & Applied Mathematics (IPAM)
youtu.be/uKJ1YEYhFYM?...
Institute for Pure & Applied Mathematics (IPAM)
youtu.be/uKJ1YEYhFYM?...
November 9, 2026 at 10:44 AM
Alessandro Vegnuti: Solving polynomials in large pseudo-finite sets https://arxiv.org/abs/2611.08211 https://arxiv.org/pdf/2611.08211 https://arxiv.org/html/2611.08211
November 6, 2026 at 6:48 AM
Alessandro Vegnuti: Solving polynomials in large pseudo-finite sets https://arxiv.org/abs/2611.08211 https://arxiv.org/pdf/2611.08211 https://arxiv.org/html/2611.08211
It feels like when you learn that vector spaces are a general thing. It smells like polynomials are vectors actually and the basis power vector well is the basis of the space of numbers econded in base-2
November 10, 2026 at 12:13 PM
It feels like when you learn that vector spaces are a general thing. It smells like polynomials are vectors actually and the basis power vector well is the basis of the space of numbers econded in base-2
Borys Kadets, Dan Mangoubi
Root sharing and $2$-adic interpolation for Legendre polynomials
https://arxiv.org/abs/2611.09312
Root sharing and $2$-adic interpolation for Legendre polynomials
https://arxiv.org/abs/2611.09312
November 9, 2026 at 12:46 PM
Borys Kadets, Dan Mangoubi
Root sharing and $2$-adic interpolation for Legendre polynomials
https://arxiv.org/abs/2611.09312
Root sharing and $2$-adic interpolation for Legendre polynomials
https://arxiv.org/abs/2611.09312
Manjul Bhargava, Sameera Vemulapalli
The existence of small defining polynomials for number fields, II
https://arxiv.org/abs/2611.09031
The existence of small defining polynomials for number fields, II
https://arxiv.org/abs/2611.09031
November 9, 2026 at 12:48 PM
Manjul Bhargava, Sameera Vemulapalli
The existence of small defining polynomials for number fields, II
https://arxiv.org/abs/2611.09031
The existence of small defining polynomials for number fields, II
https://arxiv.org/abs/2611.09031
An Editors' Pick via #OPG_OL: Fast eighth-order Padé schemes based on Chebyshev polynomials for the direct Zakharov–Shabat problem https://bit.ly/4sEogti #SignalProcessing #InverseScattering 💡⚛️
November 9, 2026 at 10:38 PM
An Editors' Pick via #OPG_OL: Fast eighth-order Padé schemes based on Chebyshev polynomials for the direct Zakharov–Shabat problem https://bit.ly/4sEogti #SignalProcessing #InverseScattering 💡⚛️
Next lecture on modeling gene regulatory networks in my Intro to Math Modeling class @ucsdphysci.bsky.social @ucsandiego.bsky.social: fields, rings, ideals, and the ring of polynomials over F₂.
November 5, 2026 at 6:38 PM
Next lecture on modeling gene regulatory networks in my Intro to Math Modeling class @ucsdphysci.bsky.social @ucsandiego.bsky.social: fields, rings, ideals, and the ring of polynomials over F₂.
Manjul Bhargava, Sameera Vemulapalli: The existence of small defining polynomials for number fields, II https://arxiv.org/abs/2611.09031 https://arxiv.org/pdf/2611.09031 https://arxiv.org/html/2611.09031
November 9, 2026 at 6:49 AM
Manjul Bhargava, Sameera Vemulapalli: The existence of small defining polynomials for number fields, II https://arxiv.org/abs/2611.09031 https://arxiv.org/pdf/2611.09031 https://arxiv.org/html/2611.09031
Integral zeros of Krawtchouk polynomials and quantum entanglements
https://arxiv.org/pdf/2611.08518
Jaeseong Heo, Young-Hoon Kiem, Chul-hee Lee.
https://arxiv.org/pdf/2611.08518
Jaeseong Heo, Young-Hoon Kiem, Chul-hee Lee.
https://arxiv.org/abs/2611.08518
arXiv abstract link
arxiv.org
November 9, 2026 at 9:30 PM
Integral zeros of Krawtchouk polynomials and quantum entanglements
https://arxiv.org/pdf/2611.08518
Jaeseong Heo, Young-Hoon Kiem, Chul-hee Lee.
https://arxiv.org/pdf/2611.08518
Jaeseong Heo, Young-Hoon Kiem, Chul-hee Lee.
Jan-Willem M. van Ittersum: Multiple $q$-zeta values as polynomials in partition multiplicities https://arxiv.org/abs/2611.06301 https://arxiv.org/pdf/2611.06301 https://arxiv.org/html/2611.06301
November 5, 2026 at 6:49 AM
Jan-Willem M. van Ittersum: Multiple $q$-zeta values as polynomials in partition multiplicities https://arxiv.org/abs/2611.06301 https://arxiv.org/pdf/2611.06301 https://arxiv.org/html/2611.06301
Jaeseong Heo, Young-Hoon Kiem, Chul-hee Lee: Integral zeros of Krawtchouk polynomials and quantum entanglements https://arxiv.org/abs/2611.08518 https://arxiv.org/pdf/2611.08518 https://arxiv.org/html/2611.08518
November 9, 2026 at 6:59 AM
Jaeseong Heo, Young-Hoon Kiem, Chul-hee Lee: Integral zeros of Krawtchouk polynomials and quantum entanglements https://arxiv.org/abs/2611.08518 https://arxiv.org/pdf/2611.08518 https://arxiv.org/html/2611.08518
As for combining polynomials if you had a tamper machine at the mayoracha factory this could indeed be the precursors to a quote sticky situation.
November 7, 2026 at 9:13 PM
As for combining polynomials if you had a tamper machine at the mayoracha factory this could indeed be the precursors to a quote sticky situation.
Noisevember track #5. This is a sound made from all the roots of all polynomials of a certain form. Specifically, 16th degree polynomials with power-of-two coefficients in the pattern 1-2-4-8...256...-8-4-2-1 and with plus-or-minus one applied to all […]
[Original post on mathstodon.xyz]
[Original post on mathstodon.xyz]
November 6, 2026 at 8:39 AM
Noisevember track #5. This is a sound made from all the roots of all polynomials of a certain form. Specifically, 16th degree polynomials with power-of-two coefficients in the pattern 1-2-4-8...256...-8-4-2-1 and with plus-or-minus one applied to all […]
[Original post on mathstodon.xyz]
[Original post on mathstodon.xyz]
Yifan Chen Huaiqing Zuo
Bernstein-Sato polynomials of generic Pfaffian ideals
https://arxiv.org/abs/2611.07571
Bernstein-Sato polynomials of generic Pfaffian ideals
https://arxiv.org/abs/2611.07571
November 6, 2026 at 8:53 AM
Yifan Chen Huaiqing Zuo
Bernstein-Sato polynomials of generic Pfaffian ideals
https://arxiv.org/abs/2611.07571
Bernstein-Sato polynomials of generic Pfaffian ideals
https://arxiv.org/abs/2611.07571
Takafumi Shibuta: Uniform comparison of multiplier and test ideals for polynomials with affinely independent support https://arxiv.org/abs/2611.05914 https://arxiv.org/pdf/2611.05914 https://arxiv.org/html/2611.05914
November 5, 2026 at 6:46 AM
Takafumi Shibuta: Uniform comparison of multiplier and test ideals for polynomials with affinely independent support https://arxiv.org/abs/2611.05914 https://arxiv.org/pdf/2611.05914 https://arxiv.org/html/2611.05914
One of the funniest things with the new kind of grassroots/AI swarm math is that often you get absurd bounds from the first breakthrough and then they get pushed down. This might be one of the most drastic, degree down from 2↑↑7 to 4, coefficients from 2↑↑8 to "just" 2^3247.
November 8, 2026 at 10:38 AM
One of the funniest things with the new kind of grassroots/AI swarm math is that often you get absurd bounds from the first breakthrough and then they get pushed down. This might be one of the most drastic, degree down from 2↑↑7 to 4, coefficients from 2↑↑8 to "just" 2^3247.