Question

Fundamental polynomials: do they form a base

score 41 · Answer 1 · 2026-03-25 09:53:45

41

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Fundamental polynomials: do they form a base

Published on 25 Mar 2026 - 9:53

score 250 · Answer 2 · 2023-02-10 23:09:49

250

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Showing that Lagrange Basis Polynomials sum to 1

Published on 10 Feb 2023 - 23:09

score 703 · Answer 3 · 2023-02-22 01:12:45

703

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For what $n$ can we find a degree $\leq n-2$ polynomial such that $P(i) \in \{0 , 1 \}$ for $i \in [n]$, but not all identical.

Published on 22 Feb 2023 - 1:12

score 215 · Answer 4 · 2023-03-26 01:12:57

215

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Lagrange Interpolating Polynomials with custom way to add Local Maximum/Minimum.

Published on 26 Mar 2023 - 1:12

score 49 · Answer 5 · 2023-04-11 17:51:17

49

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How to use bilinear interpolation to interpolate a new optimized trajectory?

Published on 11 Apr 2023 - 17:51

score 36 · Answer 6 · 2023-04-17 18:40:22

36

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Possible dimension of vector space

Published on 17 Apr 2023 - 18:40

score 133 · Answer 7 · 2026-02-23 04:50:15

133

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Different bounds for truncation error in linear interpolation

Published on 23 Feb 2026 - 4:50

score 50 · Answer 8 · 2026-03-25 07:39:46

50

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Polynomial or wave through aligned points

Published on 25 Mar 2026 - 7:39

score 34 · Answer 9 · 2023-07-02 23:00:26

34

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How can I find a $n$-th degree polynomial for a line with $n-1$ predetermined points?

Published on 02 Jul 2023 - 23:00

score 44 · Answer 10 · 2026-03-25 11:11:49

44

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How many evaluations do you need to prove that a multivariate polynomial is the zero polynomial?

Published on 25 Mar 2026 - 11:11

score 63 · Answer 11 · 2026-02-23 08:28:26

63

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$f(x)=x^n+a_{n-2}x^{n-2}+...+a_1x+a_0\in \mathbb{R}[X]$. prove$\ \exists$ $i\in[1,...,n]$ so that : $|f(i)| \ge \frac{n!}{\binom n i}$

Published on 23 Feb 2026 - 8:28

score 102 · Answer 12 · 2026-02-23 08:28:25

102

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$\ \forall x_1,x_2,...,x_n \in \mathbb{R} (x_i\not=x_j)$ in the range of $[-1,1]$ prove:$\sum_{i=1}^{n}\frac{1}{\Pi_{k\not=i}|x_k-x_i|}\ge2^{n-2}$

Published on 23 Feb 2026 - 8:28

score 67 · Answer 13 · 2023-08-10 11:42:55

67

Views

Finding rational coefficients of a cubic polynomial that fits 4 data points that have been floored to an integer

Published on 10 Aug 2023 - 11:42

score 158 · Answer 14 · 2023-09-27 18:13:08

158

Views

Nonlinear ODE with (pseudo-)spectral method

Published on 27 Sep 2023 - 18:13

score 45 · Answer 15 · 2023-10-03 15:06:29

45

Views

Error term refinement of Lagrange interpolation

Published on 03 Oct 2023 - 15:06

List Question

Fundamental polynomials: do they form a base

Showing that Lagrange Basis Polynomials sum to 1

For what $n$ can we find a degree $\leq n-2$ polynomial such that $P(i) \in \{0 , 1 \}$ for $i \in [n]$, but not all identical.

Lagrange Interpolating Polynomials with custom way to add Local Maximum/Minimum.

How to use bilinear interpolation to interpolate a new optimized trajectory?

Possible dimension of vector space

Different bounds for truncation error in linear interpolation

Polynomial or wave through aligned points

How can I find a $n$-th degree polynomial for a line with $n-1$ predetermined points?

How many evaluations do you need to prove that a multivariate polynomial is the zero polynomial?

$f(x)=x^n+a_{n-2}x^{n-2}+...+a_1x+a_0\in \mathbb{R}[X]$. prove$\ \exists$ $i\in[1,...,n]$ so that : $|f(i)| \ge \frac{n!}{\binom n i}$

$\ \forall x_1,x_2,...,x_n \in \mathbb{R} (x_i\not=x_j)$ in the range of $[-1,1]$ prove:$\sum_{i=1}^{n}\frac{1}{\Pi_{k\not=i}|x_k-x_i|}\ge2^{n-2}$

Finding rational coefficients of a cubic polynomial that fits 4 data points that have been floored to an integer

Nonlinear ODE with (pseudo-)spectral method

Error term refinement of Lagrange interpolation

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