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Expand file tree Collapse file tree Original file line number Diff line number Diff line change 11import ArkLib.Data.CodingTheory.Basic
22import ArkLib.Data.CodingTheory.BerlekampWelch
3- import ArkLib.Data.CodingTheory.BivariatePoly
43import ArkLib.Data.CodingTheory.DivergenceOfSets
54import ArkLib.Data.CodingTheory.InterleavedCode
65import ArkLib.Data.CodingTheory.ListDecodability
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Original file line number Diff line number Diff line change @@ -27,7 +27,7 @@ The set of coefficients of a bivariate polynomial.
2727def coeffs : Finset F[X] := f.support.image (fun n => f.coeff n)
2828
2929/---
30- The coeffiecient of `Y^n` is a polynomial in `X`.
30+ The coefficient of `Y^n` is a polynomial in `X`.
3131-/
3232def coeff_Y_n (n : ℕ) : F[X] := f.coeff n
3333
@@ -59,7 +59,7 @@ classical sense if the bivariate polynomial is interpreted as a univariate polyn
5959def leadingCoeffY : F[X] := f.coeff (natDegree f)
6060
6161/--
62- The polynomial coeffient of the highest power of `Y` is `0` if and only if the bivariate
62+ The polynomial coefficient of the highest power of `Y` is `0` if and only if the bivariate
6363polynomial is the zero polynomial.
6464-/
6565theorem leadingCoeffY_eq_zero : leadingCoeffY f = 0 ↔ f = 0 :=
@@ -69,7 +69,7 @@ theorem leadingCoeffY_eq_zero : leadingCoeffY f = 0 ↔ f = 0 :=
6969 fun h => h.symm ▸ leadingCoeff_zero⟩
7070
7171/--
72- The polynomial coeffient of the highest power of `Y` is not `0` if and only if the
72+ The polynomial coefficient of the highest power of `Y` is not `0` if and only if the
7373bivariate polynomial is non-zero.
7474-/
7575lemma ne_zero_iff_leadingCoeffY_ne_zero : leadingCoeffY f ≠ 0 ↔ f ≠ 0 := by
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