ring_theory.polynomial.hermite.gaussian

Changes since the initial port

The following section lists changes to this file in mathlib3 and mathlib4 that occured after the initial port. Most recent changes are shown first. Hovering over a commit will show all commits associated with the same mathlib3 commit.

Changes in mathlib3

3bce8d80

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

d07a9c87

bump to nightly-2024-04-06-08

mathlib commit https://github.com/leanprover-community/mathlib/commit/65a1391a0106c9204fe45bc73a039f056558cb83

e34029c9

Diff

@@ -52,7 +52,7 @@ theorem deriv_gaussian_eq_hermite_mul_gaussian (n : ℕ) (x : ℝ) :
     have deriv_gaussian :
       deriv (fun y => Real.exp (-(y ^ 2 / 2))) x = -x * Real.exp (-(x ^ 2 / 2)) := by
       simp [mul_comm, ← neg_mul]
-    rw [Function.iterate_succ_apply', ih, deriv_const_mul_field, deriv_mul, pow_succ (-1 : ℝ),
+    rw [Function.iterate_succ_apply', ih, deriv_const_mul_field, deriv_mul, pow_succ' (-1 : ℝ),
       deriv_gaussian, hermite_succ, map_sub, map_mul, aeval_X, Polynomial.deriv_aeval]
     ring
     · apply Polynomial.differentiable_aeval

d07a9c87

bump to nightly-2023-09-24-06

mathlib commit https://github.com/leanprover-community/mathlib/commit/ce64cd319bb6b3e82f31c2d38e79080d377be451

5655435f

Diff

@@ -3,11 +3,11 @@ Copyright (c) 2023 Luke Mantle. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Luke Mantle, Jake Levinson
 -/
-import Mathbin.RingTheory.Polynomial.Hermite.Basic
-import Mathbin.Analysis.Calculus.Deriv.Pow
-import Mathbin.Analysis.Calculus.Deriv.Add
-import Mathbin.Analysis.SpecialFunctions.Exp
-import Mathbin.Analysis.SpecialFunctions.ExpDeriv
+import RingTheory.Polynomial.Hermite.Basic
+import Analysis.Calculus.Deriv.Pow
+import Analysis.Calculus.Deriv.Add
+import Analysis.SpecialFunctions.Exp
+import Analysis.SpecialFunctions.ExpDeriv
 
 #align_import ring_theory.polynomial.hermite.gaussian from "leanprover-community/mathlib"@"d07a9c875ed7139abfde6a333b2be205c5bd404e"

d07a9c87

bump to nightly-2023-07-20-09

mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345

9c56d0dd

Diff

@@ -2,11 +2,6 @@
 Copyright (c) 2023 Luke Mantle. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Luke Mantle, Jake Levinson
-
-! This file was ported from Lean 3 source module ring_theory.polynomial.hermite.gaussian
-! leanprover-community/mathlib commit d07a9c875ed7139abfde6a333b2be205c5bd404e
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.RingTheory.Polynomial.Hermite.Basic
 import Mathbin.Analysis.Calculus.Deriv.Pow
@@ -14,6 +9,8 @@ import Mathbin.Analysis.Calculus.Deriv.Add
 import Mathbin.Analysis.SpecialFunctions.Exp
 import Mathbin.Analysis.SpecialFunctions.ExpDeriv
 
+#align_import ring_theory.polynomial.hermite.gaussian from "leanprover-community/mathlib"@"d07a9c875ed7139abfde6a333b2be205c5bd404e"
+
 /-!
 # Hermite polynomials and Gaussians

d07a9c87

bump to nightly-2023-06-15-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/9f55d0d4363ae59948c33864cbc52e0b12e0e8ce

9867a146

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Luke Mantle, Jake Levinson
 
 ! This file was ported from Lean 3 source module ring_theory.polynomial.hermite.gaussian
-! leanprover-community/mathlib commit 3bce8d800a6f2b8f63fe1e588fd76a9ff4adcebe
+! leanprover-community/mathlib commit d07a9c875ed7139abfde6a333b2be205c5bd404e
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -17,6 +17,9 @@ import Mathbin.Analysis.SpecialFunctions.ExpDeriv
 /-!
 # Hermite polynomials and Gaussians
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 This file shows that the Hermite polynomial `hermite n` is (up to sign) the
 polynomial factor occurring in the `n`th derivative of a gaussian.

3bce8d80

bump to nightly-2023-06-13-21

mathlib commit https://github.com/leanprover-community/mathlib/commit/9fb8964792b4237dac6200193a0d533f1b3f7423

829520ac

Diff

@@ -39,6 +39,7 @@ open Polynomial
 
 namespace Polynomial
 
+#print Polynomial.deriv_gaussian_eq_hermite_mul_gaussian /-
 /-- `hermite n` is (up to sign) the factor appearing in `deriv^[n]` of a gaussian -/
 theorem deriv_gaussian_eq_hermite_mul_gaussian (n : ℕ) (x : ℝ) :
     (deriv^[n]) (fun y => Real.exp (-(y ^ 2 / 2))) x =
@@ -57,7 +58,9 @@ theorem deriv_gaussian_eq_hermite_mul_gaussian (n : ℕ) (x : ℝ) :
     · apply Polynomial.differentiable_aeval
     · simp
 #align polynomial.deriv_gaussian_eq_hermite_mul_gaussian Polynomial.deriv_gaussian_eq_hermite_mul_gaussian
+-/
 
+#print Polynomial.hermite_eq_deriv_gaussian /-
 theorem hermite_eq_deriv_gaussian (n : ℕ) (x : ℝ) :
     aeval x (hermite n) =
       (-1 : ℝ) ^ n * (deriv^[n]) (fun y => Real.exp (-(y ^ 2 / 2))) x / Real.exp (-(x ^ 2 / 2)) :=
@@ -68,7 +71,9 @@ theorem hermite_eq_deriv_gaussian (n : ℕ) (x : ℝ) :
     neg_inv, inv_one]
   exact pow_ne_zero _ (by norm_num)
 #align polynomial.hermite_eq_deriv_gaussian Polynomial.hermite_eq_deriv_gaussian
+-/
 
+#print Polynomial.hermite_eq_deriv_gaussian' /-
 theorem hermite_eq_deriv_gaussian' (n : ℕ) (x : ℝ) :
     aeval x (hermite n) =
       (-1 : ℝ) ^ n * (deriv^[n]) (fun y => Real.exp (-(y ^ 2 / 2))) x * Real.exp (x ^ 2 / 2) :=
@@ -76,6 +81,7 @@ theorem hermite_eq_deriv_gaussian' (n : ℕ) (x : ℝ) :
   rw [hermite_eq_deriv_gaussian, Real.exp_neg]
   field_simp [Real.exp_ne_zero]
 #align polynomial.hermite_eq_deriv_gaussian' Polynomial.hermite_eq_deriv_gaussian'
+-/
 
 end Polynomial

3bce8d80

bump to nightly-2023-05-28-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb

6c6011cf

Diff

@@ -4,11 +4,13 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Luke Mantle, Jake Levinson
 
 ! This file was ported from Lean 3 source module ring_theory.polynomial.hermite.gaussian
-! leanprover-community/mathlib commit 066ecdb4834c7a4693e0f0e5154935a6f3d3f90c
+! leanprover-community/mathlib commit 3bce8d800a6f2b8f63fe1e588fd76a9ff4adcebe
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
 import Mathbin.RingTheory.Polynomial.Hermite.Basic
+import Mathbin.Analysis.Calculus.Deriv.Pow
+import Mathbin.Analysis.Calculus.Deriv.Add
 import Mathbin.Analysis.SpecialFunctions.Exp
 import Mathbin.Analysis.SpecialFunctions.ExpDeriv

066ecdb4

bump to nightly-2023-05-13-02

mathlib commit https://github.com/leanprover-community/mathlib/commit/403190b5419b3f03f1a2893ad9352ca7f7d8bff6

d312d6d5

Changes in mathlib4

mathlib3

mathlib4

3bce8d80

chore: adapt to multiple goal linter 2 (#12361)

A PR analogous to #12338: reformatting proofs following the multiple goals linter of #12339.

fe96aa45

Diff

@@ -50,7 +50,7 @@ theorem deriv_gaussian_eq_hermite_mul_gaussian (n : ℕ) (x : ℝ) :
       rw [deriv_exp (by simp)]; simp; ring
     rw [Function.iterate_succ_apply', ih, deriv_const_mul_field, deriv_mul, pow_succ (-1 : ℝ),
       deriv_gaussian, hermite_succ, map_sub, map_mul, aeval_X, Polynomial.deriv_aeval]
-    ring
+    · ring
     · apply Polynomial.differentiable_aeval
     · apply DifferentiableAt.exp; simp -- Porting note: was just `simp`
 #align polynomial.deriv_gaussian_eq_hermite_mul_gaussian Polynomial.deriv_gaussian_eq_hermite_mul_gaussian

3bce8d80

chore: classify was simp porting notes (#10746)

Classifies by adding issue number (#10745) to porting notes claiming was simp.

71e045ac

Diff

@@ -46,7 +46,8 @@ theorem deriv_gaussian_eq_hermite_mul_gaussian (n : ℕ) (x : ℝ) :
   · replace ih : deriv^[n] _ = _ := _root_.funext ih
     have deriv_gaussian :
       deriv (fun y => Real.exp (-(y ^ 2 / 2))) x = -x * Real.exp (-(x ^ 2 / 2)) := by
-      rw [deriv_exp (by simp)]; simp; ring -- Porting note: was `simp [mul_comm, ← neg_mul]`
+      -- porting note (#10745): was `simp [mul_comm, ← neg_mul]`
+      rw [deriv_exp (by simp)]; simp; ring
     rw [Function.iterate_succ_apply', ih, deriv_const_mul_field, deriv_mul, pow_succ (-1 : ℝ),
       deriv_gaussian, hermite_succ, map_sub, map_mul, aeval_X, Polynomial.deriv_aeval]
     ring

3bce8d80

refactor: split Analysis.Calculus.LocalExtr (#5944)

Also make f/f' arguments implicit in all versions of Rolle's Theorem.

Fixes #4830

API changes

exists_Ioo_extr_on_Icc:
- generalize from functions f : ℝ → ℝ to functions from a conditionally complete linear order to a linear order.
- make f implicit;
exists_local_extr_Ioo:
- rename to exists_isLocalExtr_Ioo;
- generalize as above;
- make f implicit;
exists_isExtrOn_Ioo_of_tendsto, exists_isLocalExtr_Ioo_of_tendsto: new lemmas extracted from the proof of exists_hasDerivAt_eq_zero';
exists_hasDerivAt_eq_zero, exists_hasDerivAt_eq_zero': make f and f' implicit;
exists_deriv_eq_zero, exists_deriv_eq_zero': make f implicit.

eec218b4

Diff

@@ -4,8 +4,8 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Luke Mantle, Jake Levinson
 -/
 import Mathlib.RingTheory.Polynomial.Hermite.Basic
-import Mathlib.Analysis.Calculus.Deriv.Pow
 import Mathlib.Analysis.Calculus.Deriv.Add
+import Mathlib.Analysis.Calculus.Deriv.Polynomial
 import Mathlib.Analysis.SpecialFunctions.Exp
 import Mathlib.Analysis.SpecialFunctions.ExpDeriv

3bce8d80

chore: script to replace headers with #align_import statements (#5979)

depends on: #5966

Co-authored-by: Eric Wieser <wieser.eric@gmail.com> Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

89aa3a3b

Diff

@@ -2,11 +2,6 @@
 Copyright (c) 2023 Luke Mantle. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Luke Mantle, Jake Levinson
-
-! This file was ported from Lean 3 source module ring_theory.polynomial.hermite.gaussian
-! leanprover-community/mathlib commit 3bce8d800a6f2b8f63fe1e588fd76a9ff4adcebe
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.RingTheory.Polynomial.Hermite.Basic
 import Mathlib.Analysis.Calculus.Deriv.Pow
@@ -14,6 +9,8 @@ import Mathlib.Analysis.Calculus.Deriv.Add
 import Mathlib.Analysis.SpecialFunctions.Exp
 import Mathlib.Analysis.SpecialFunctions.ExpDeriv
 
+#align_import ring_theory.polynomial.hermite.gaussian from "leanprover-community/mathlib"@"3bce8d800a6f2b8f63fe1e588fd76a9ff4adcebe"
+
 /-!
 # Hermite polynomials and Gaussians

3bce8d80

fix precedence of Nat.iterate (#5589)

bd2fff86

Diff

@@ -41,12 +41,12 @@ namespace Polynomial
 
 /-- `hermite n` is (up to sign) the factor appearing in `deriv^[n]` of a gaussian -/
 theorem deriv_gaussian_eq_hermite_mul_gaussian (n : ℕ) (x : ℝ) :
-    (deriv^[n]) (fun y => Real.exp (-(y ^ 2 / 2))) x =
+    deriv^[n] (fun y => Real.exp (-(y ^ 2 / 2))) x =
     (-1 : ℝ) ^ n * aeval x (hermite n) * Real.exp (-(x ^ 2 / 2)) := by
   rw [mul_assoc]
   induction' n with n ih generalizing x
   · rw [Function.iterate_zero_apply, pow_zero, one_mul, hermite_zero, C_1, map_one, one_mul]
-  · replace ih : (deriv^[n]) _ = _ := _root_.funext ih
+  · replace ih : deriv^[n] _ = _ := _root_.funext ih
     have deriv_gaussian :
       deriv (fun y => Real.exp (-(y ^ 2 / 2))) x = -x * Real.exp (-(x ^ 2 / 2)) := by
       rw [deriv_exp (by simp)]; simp; ring -- Porting note: was `simp [mul_comm, ← neg_mul]`
@@ -58,7 +58,7 @@ theorem deriv_gaussian_eq_hermite_mul_gaussian (n : ℕ) (x : ℝ) :
 #align polynomial.deriv_gaussian_eq_hermite_mul_gaussian Polynomial.deriv_gaussian_eq_hermite_mul_gaussian
 
 theorem hermite_eq_deriv_gaussian (n : ℕ) (x : ℝ) : aeval x (hermite n) =
-    (-1 : ℝ) ^ n * (deriv^[n]) (fun y => Real.exp (-(y ^ 2 / 2))) x / Real.exp (-(x ^ 2 / 2)) := by
+    (-1 : ℝ) ^ n * deriv^[n] (fun y => Real.exp (-(y ^ 2 / 2))) x / Real.exp (-(x ^ 2 / 2)) := by
   rw [deriv_gaussian_eq_hermite_mul_gaussian]
   field_simp [Real.exp_ne_zero]
   rw [← @smul_eq_mul ℝ _ ((-1) ^ n), ← inv_smul_eq_iff₀, mul_assoc, smul_eq_mul, ← inv_pow, ←
@@ -67,7 +67,7 @@ theorem hermite_eq_deriv_gaussian (n : ℕ) (x : ℝ) : aeval x (hermite n) =
 #align polynomial.hermite_eq_deriv_gaussian Polynomial.hermite_eq_deriv_gaussian
 
 theorem hermite_eq_deriv_gaussian' (n : ℕ) (x : ℝ) : aeval x (hermite n) =
-    (-1 : ℝ) ^ n * (deriv^[n]) (fun y => Real.exp (-(y ^ 2 / 2))) x * Real.exp (x ^ 2 / 2) := by
+    (-1 : ℝ) ^ n * deriv^[n] (fun y => Real.exp (-(y ^ 2 / 2))) x * Real.exp (x ^ 2 / 2) := by
   rw [hermite_eq_deriv_gaussian, Real.exp_neg]
   field_simp [Real.exp_ne_zero]
 #align polynomial.hermite_eq_deriv_gaussian' Polynomial.hermite_eq_deriv_gaussian'

3bce8d80

feat: port RingTheory.Polynomial.Hermite.Gaussian (#5006)

a1d70631

`ring_theory.polynomial.hermite.gaussian` ⟷ `Mathlib.RingTheory.Polynomial.Hermite.Gaussian`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

API changes

Dependencies 12 + 894

ring_theory.polynomial.hermite.gaussian ⟷ Mathlib.RingTheory.Polynomial.Hermite.Gaussian

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

API changes

Dependencies 12 + 894

`ring_theory.polynomial.hermite.gaussian` ⟷ `Mathlib.RingTheory.Polynomial.Hermite.Gaussian`