1. FormalConjecturesForMathlib
  2. Data
  3. Real
  4. Constants
/- Copyright 2025 The Formal Conjectures Authors. Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at https://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. -/ module public import Mathlib.MeasureTheory.Integral.Bochner.Basic public import Mathlib.MeasureTheory.Measure.Haar.OfBasis@[expose] public section

Standard real valued constants

This file is for storing the definition of standard real constants that arise in conjectures.

open Real

Gompertz constant $$\delta = -e * \int_1^∞ e^{-t}/t dt \approx 0.59634$$

noncomputable def gompertzConstant : ℝ := -exp 1 * ∫ (t:ℝ) in Set.Ioi 1, exp (-t) / t

Catalan's constant $$G = \sum_{n=0}^∞ (-1)^n / (2n + 1)^2 \approx 0.91596$$

noncomputable def catalanConstant : ℝ := ∑' n : ℕ, (-1)^n / (2*n + 1)^2