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#!/usr/bin/env python3
r"""
AN EXPLICIT DEGREE-3 JACOBIAN COUNTEREXAMPLE IN 11 VARIABLES
============================================================

Result
------

This file gives an explicit polynomial map

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#!/usr/bin/env python3
r"""
================================================================================
CREDITS, PROVENANCE, AND SOURCES
================================================================================

This file combines an explicit cubic reduction with an exact-arithmetic
verification program. It does not claim discovery of the original
three-variable counterexample or of the degree-reduction theorem.

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<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="UTF-8">
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<title>The Incremental Benefit-Cost Method</title>
<style>
  :root {
    --bg: #fafaf9;
    --panel: #ffffff;

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//
//  ContentView.swift
//  NavigationTest
//
//  Created by Joseph Atkins-Turkish on 6/23/24.
//

import SwiftUI
import SwiftData

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#!/usr/bin/env python

# Quick and dirty script to scrub pip requirements files of duplicate requirements

import sys
import fileinput

from requirements.requirement import Requirement

seen = set()

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