#polynomial — Public Fediverse posts

#Galois #Theory, developed by Évariste Galois, is a branch of abstract #Algebra linking #Field theory (studying number systems) and #Group theory (studying symmetries) to understand #Polynomial #Equations.

https://knowledgezone.co.in/kbits/684d122f5a7a515a8ee8343e

#Galois #Theory, developed by Évariste Galois, is a branch of abstract #Algebra linking #Field theory (studying number systems) and #Group theory (studying symmetries) to understand #Polynomial #Equations.

https://knowledgezone.co.in/kbits/684d122f5a7a515a8ee8343e

#Galois #Theory, developed by Évariste Galois, is a branch of abstract #Algebra linking #Field theory (studying number systems) and #Group theory (studying symmetries) to understand #Polynomial #Equations.

https://knowledgezone.co.in/kbits/684d122f5a7a515a8ee8343e

#Galois #Theory, developed by Évariste Galois, is a branch of abstract #Algebra linking #Field theory (studying number systems) and #Group theory (studying symmetries) to understand #Polynomial #Equations.

https://knowledgezone.co.in/kbits/684d122f5a7a515a8ee8343e

#Galois #Theory, developed by Évariste Galois, is a branch of abstract #Algebra linking #Field theory (studying number systems) and #Group theory (studying symmetries) to understand #Polynomial #Equations.

https://knowledgezone.co.in/kbits/684d122f5a7a515a8ee8343e

#Mathematics community #rates of #change also of importance in computer science, albeit with different units, graphed:

#Linear, #polynomial, #exponential, #logarithmic

How To #Polynomial W/O #Epsilon & More With a tricky formula, the 1st Shalan theorem: (d(m²-1)/2)²+d²m²=(d(m²+1)/2)² f.e. d(m²+1)/2=17 d=2,m=4 15²+8²=17² d,m=1,17 244²+17²=245² #sharingisthenewlearning #SharingIsCaring #education #mathematics #math #maths #geometry #YangHuiTriangle #PascalTriangle

RE: https://bsky.app/profile/did:plc:omyr27fmzj3phbagch4sqyub/post/3lfs3ewvqec2p

In today's episode of "Let's Make #Math #Boring," Eli Bendersky attempts to dazzle us with #polynomial #magic and #convolution sorcery🤯. Spoiler alert: it's just #middle #school #math dressed in fancy terminology🎩📚. If you needed a nap, you're welcome. 💤
https://eli.thegreenplace.net/2025/convolutions-polynomials-and-flipped-kernels/ #Sorcery #HackerNews #ngated

In today's episode of "Let's Make #Math #Boring," Eli Bendersky attempts to dazzle us with #polynomial #magic and #convolution sorcery🤯. Spoiler alert: it's just #middle #school #math dressed in fancy terminology🎩📚. If you needed a nap, you're welcome. 💤
https://eli.thegreenplace.net/2025/convolutions-polynomials-and-flipped-kernels/ #Sorcery #HackerNews #ngated

In today's episode of "Let's Make #Math #Boring," Eli Bendersky attempts to dazzle us with #polynomial #magic and #convolution sorcery🤯. Spoiler alert: it's just #middle #school #math dressed in fancy terminology🎩📚. If you needed a nap, you're welcome. 💤
https://eli.thegreenplace.net/2025/convolutions-polynomials-and-flipped-kernels/ #Sorcery #HackerNews #ngated

In today's episode of "Let's Make #Math #Boring," Eli Bendersky attempts to dazzle us with #polynomial #magic and #convolution sorcery🤯. Spoiler alert: it's just #middle #school #math dressed in fancy terminology🎩📚. If you needed a nap, you're welcome. 💤
https://eli.thegreenplace.net/2025/convolutions-polynomials-and-flipped-kernels/ #Sorcery #HackerNews #ngated

`Cardan, in Ars Magna (1545), gives a rule for solving a system of two linear equations which he calls regula de modo and which [7] calls mother of rules ! This rule gives what essentially is Cramer's rule for solving a 2 × 2 system although Cardan does not make the final step. Cardan therefore does not reach the definition of a determinant but, with the advantage of hindsight, we can see that his method does lead to the definition.`

https://mathshistory.st-andrews.ac.uk/HistTopics/Matrices_and_determinants/

#matrix #linearAlgebra #polynomial

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

A Hyper-Catalan Series Solution to Polynomial Equations, and the Geode

https://www.tandfonline.com/doi/full/10.1080/00029890.2025.2460966#d1e523

#HackerNews #HyperCatalan #Series #Polynomial #Equations #Geode #Mathematics #Research

@catselbow
Astonishing! I hadn't come across this before - absolutely fascinating!
#maths #mathematics #polynomial #polynomials #CatalanNumbers #combinatorics #Galois #GaloisTheory
https://www.tandfonline.com/doi/epdf/10.1080/00029890.2025.2460966?needAccess=true

@catselbow
Astonishing! I hadn't come across this before - absolutely fascinating!
#maths #mathematics #polynomial #polynomials #CatalanNumbers #combinatorics #Galois #GaloisTheory
https://www.tandfonline.com/doi/epdf/10.1080/00029890.2025.2460966?needAccess=true

@catselbow
Astonishing! I hadn't come across this before - absolutely fascinating!
#maths #mathematics #polynomial #polynomials #CatalanNumbers #combinatorics #Galois #GaloisTheory
https://www.tandfonline.com/doi/epdf/10.1080/00029890.2025.2460966?needAccess=true

@catselbow
Astonishing! I hadn't come across this before - absolutely fascinating!
#maths #mathematics #polynomial #polynomials #CatalanNumbers #combinatorics #Galois #GaloisTheory
https://www.tandfonline.com/doi/epdf/10.1080/00029890.2025.2460966?needAccess=true

One day, one decomposition
A235035: Numbers n for which A234742(n) = n: numbers n whose binary representation encodes a GF(2)[X]-polynomial such that when its irreducible factors are multiplied together as ordinary integers (with carry-bits), the result is n

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A235035.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A235035.html

#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #binary #representation #polynomial #factors #integers #graph #threejs #webGL

One day, one decomposition
A228183: Semiprimes generated by the Euler polynomial x^2 + x + 41

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A228183.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A228183.html

#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #semiprimes #Euler #polynomial #graph #threejs #webGL

Reverse-Engineering the Polynomial Constants in the Pentium’s FPU https://hackaday.com/2025/01/05/reverse-engineering-the-polynomial-constants-in-the-pentiums-fpu/ #ReverseEngineering #polynomial #pentium

Reverse-Engineering the Polynomial Constants in the Pentium’s FPU - Die photo of the Intel Pentium processor with the floating point constant ROM high... - https://hackaday.com/2025/01/05/reverse-engineering-the-polynomial-constants-in-the-pentiums-fpu/ #reverseengineering #polynomial #pentium

One day, one decomposition
A145292: Composite numbers generated by the Euler polynomial x^2 + x + 41

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A145292.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A145292.html

#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #composite #numbers #generated #Euler #polynomial #graph #threejs #webGL

polynomial:

https://codepen.io/fractalkitty/pen/ZEgaOrw

#wiggle #mathober #mathober2024 #polynomial

One day, one decomposition
A117223: Numbers n such that Phi(n,x) is a flat cyclotomic polynomial of order three

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A117223.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A117223.html

#decompwlj #maths #mathematics #sequence #OEIS #javascript #php #3D #numbers #Phi #cyclotomic #polynomial #order #graph #threejs #webGL

One day, one decomposition
A117223: Numbers n such that Phi(n,x) is a flat cyclotomic polynomial of order three

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A117223.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A117223.html

#decompwlj #maths #mathematics #sequence #OEIS #javascript #php #3D #numbers #Phi #cyclotomic #polynomial #order #graph #threejs #webGL

One day, one decomposition
A117223: Numbers n such that Phi(n,x) is a flat cyclotomic polynomial of order three

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A117223.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A117223.html

#decompwlj #maths #mathematics #sequence #OEIS #javascript #php #3D #numbers #Phi #cyclotomic #polynomial #order #graph #threejs #webGL

One day, one decomposition
A117223: Numbers n such that Phi(n,x) is a flat cyclotomic polynomial of order three

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A117223.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A117223.html

#decompwlj #maths #mathematics #sequence #OEIS #javascript #php #3D #numbers #Phi #cyclotomic #polynomial #order #graph #threejs #webGL

One day, one decomposition
A117223: Numbers n such that Phi(n,x) is a flat cyclotomic polynomial of order three

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A117223.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A117223.html

#decompwlj #maths #mathematics #sequence #OEIS #javascript #php #3D #numbers #Phi #cyclotomic #polynomial #order #graph #threejs #webGL

Линейная регрессия. Основная идея, модификации и реализация с нуля на Python

В машинном и глубоком обучении линейная регрессия занимает особое место, являясь не просто статистическим инструментом, но а также фундаментальным компонентом для многих более сложных концепций. В данной статье рассмотрен не только принцип работы линейной регрессии с реализацией с нуля на Python, но а также описаны её модификации и проведён небольшой сравнительный анализ основных методов регуляризации. Помимо этого, в конце указаны дополнительные источники для более глубокого ознакомления.

https://habr.com/ru/articles/804135/

#линейная_регрессия #linear_regression #polynomial #ridge #lasso #elasticnet #regularization #реализация_с_нуля #python #data_science

Линейная регрессия. Основная идея, модификации и реализация с нуля на Python

В машинном и глубоком обучении линейная регрессия занимает особое место, являясь не просто статистическим инструментом, но а также фундаментальным компонентом для многих более сложных концепций. В данной статье рассмотрен не только принцип работы линейной регрессии с реализацией с нуля на Python, но а также описаны её модификации и проведён небольшой сравнительный анализ основных методов регуляризации. Помимо этого, в конце указаны дополнительные источники для более глубокого ознакомления.

https://habr.com/ru/articles/804135/

#линейная_регрессия #linear_regression #polynomial #ridge #lasso #elasticnet #regularization #реализация_с_нуля #python #data_science

Линейная регрессия. Основная идея, модификации и реализация с нуля на Python

В машинном и глубоком обучении линейная регрессия занимает особое место, являясь не просто статистическим инструментом, но а также фундаментальным компонентом для многих более сложных концепций. В данной статье рассмотрен не только принцип работы линейной регрессии с реализацией с нуля на Python, но а также описаны её модификации и проведён небольшой сравнительный анализ основных методов регуляризации. Помимо этого, в конце указаны дополнительные источники для более глубокого ознакомления.

https://habr.com/ru/articles/804135/

#линейная_регрессия #linear_regression #polynomial #ridge #lasso #elasticnet #regularization #реализация_с_нуля #python #data_science

P vs. NP: The Biggest #Puzzle in #ComputerScience

"Are there limits to what #Computers can do? How complex is too complex for #Computation? The question of how hard a problem is to solve lies at the heart of an important field of computer science called #ComputationalComplexity."

https://www.youtube.com/watch?v=pQsdygaYcE4

#Philosophy #PhilosophyOfScience #Science #Information #InformationTechnology #PvsNP #Logic #BooleanLogic #Algorithm #Polynomial #Polymomials #NP #NondeterministicPolynomial #QuantaMagazine

P vs. NP: The Biggest #Puzzle in #ComputerScience

"Are there limits to what #Computers can do? How complex is too complex for #Computation? The question of how hard a problem is to solve lies at the heart of an important field of computer science called #ComputationalComplexity."

https://www.youtube.com/watch?v=pQsdygaYcE4

#Philosophy #PhilosophyOfScience #Science #Information #InformationTechnology #PvsNP #Logic #BooleanLogic #Algorithm #Polynomial #Polymomials #NP #NondeterministicPolynomial #QuantaMagazine

P vs. NP: The Biggest #Puzzle in #ComputerScience

"Are there limits to what #Computers can do? How complex is too complex for #Computation? The question of how hard a problem is to solve lies at the heart of an important field of computer science called #ComputationalComplexity."

https://www.youtube.com/watch?v=pQsdygaYcE4

#Philosophy #PhilosophyOfScience #Science #Information #InformationTechnology #PvsNP #Logic #BooleanLogic #Algorithm #Polynomial #Polymomials #NP #NondeterministicPolynomial #QuantaMagazine

P vs. NP: The Biggest #Puzzle in #ComputerScience

"Are there limits to what #Computers can do? How complex is too complex for #Computation? The question of how hard a problem is to solve lies at the heart of an important field of computer science called #ComputationalComplexity."

https://www.youtube.com/watch?v=pQsdygaYcE4

#Philosophy #PhilosophyOfScience #Science #Information #InformationTechnology #PvsNP #Logic #BooleanLogic #Algorithm #Polynomial #Polymomials #NP #NondeterministicPolynomial #QuantaMagazine

P vs. NP: The Biggest #Puzzle in #ComputerScience

"Are there limits to what #Computers can do? How complex is too complex for #Computation? The question of how hard a problem is to solve lies at the heart of an important field of computer science called #ComputationalComplexity."

https://www.youtube.com/watch?v=pQsdygaYcE4

#Philosophy #PhilosophyOfScience #Science #Information #InformationTechnology #PvsNP #Logic #BooleanLogic #Algorithm #Polynomial #Polymomials #NP #NondeterministicPolynomial #QuantaMagazine

Accessible proofs of the transcendence of e and pi:
https://www.youtube.com/watch?v=WyoH_vgiqXM
#maths #e #pi #transcendental #polynomial #number #numbertheory #Mathologer #math

Progress on a #polynomial signals representation project:

This is a new/old idea that makes specific promises, has some research, but doesn't have a lot of practical radio development or useful applications (yet).

Well, that's what we're here for!

There's repository started over at @OpenResearchIns
at https://github.com/OpenResearchInstitute/Polynomial_Signals_Representation

Trying to put together a coherent tutorial so that ordinary radio enthusiasts can get some traction.

#opensource #digital #radio #hamradio

Seen on TBBBS:

1. Consider a random #polynomial with degree "n"

\[
P(z) = a_n z^n + ... + a_1 z + a_0
\]

where the coefficients are random complex Gaussian numbers.

Choose the degree "n" large.

2. Compute the #complex roots and plot them.

3. Wonder why they concentrate on the #UnitCircle

From here:

https://twitter.com/i/status/1600132699800289280

The Quadratic Equation Solution a Few Thousand Years in the Making - Everyone learns (and some readers maybe still remember) the quadratic formula. It’s a pillar of alge... more: https://hackaday.com/2020/01/03/the-quadratic-equation-solution-a-few-thousand-years-in-the-making/ #polynomial #mischacks #quadratic #featured #math