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Collatz conjecture - Wikipedia
https://en.wikipedia.org/wiki/Collatz_conjecture
WEBThe Collatz conjecture states that all paths eventually lead to 1. The Collatz conjecture [a] is one of the most famous unsolved problems in mathematics. The conjecture asks whether repeating two simple arithmetic operations will …
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Collatz Problem -- from Wolfram MathWorld
https://mathworld.wolfram.com/CollatzProblem.html
WEBA problem posed by L. Collatz in 1937, also called the 3x+1 mapping, 3n+1 problem, Hasse's algorithm, Kakutani's problem, Syracuse algorithm, Syracuse problem, Thwaites conjecture, and Ulam's problem (Lagarias 1985).
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3x+1 problem - OeisWiki - The On-Line Encyclopedia of Integer …
https://oeis.org/wiki/3x%2B1_problem
WEBApr 4, 2017 · The 3x+1 problem concerns an iterated function and the question of whether it always reaches 1 when starting from any positive integer. It is also known as the Collatz problem or the hailstone problem .
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Collatz Conjecture Calculator
https://www.omnicalculator.com/math/collatz-conjecture
WEBJan 18, 2024 · Definition of the Collatz conjecture. The rules of the Collatz conjecture are, formally speaking: x_ {n+1} = \begin {cases} \frac {1} {2}x_ {n} &\! \text {if}\ x_ {n}\text { mod }2=0 \\ 3x_ {n}+1 &\! \text {if}\ x_ {n}\text { mod } 2=1 \end {cases} xn+1 = {21xn 3xn + 1 if xn mod 2 = 0 if xn mod 2 = 1.
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Collatz Conjecture Calculator | Good Calculators
https://goodcalculators.com/collatz-conjecture-calculator/
WEBThe Collatz conjecture, which is also referred to as the Ulam conjecture, Kakutani's problem, the 3n + 1 conjecture, Hasse's algorithm, the Thwaites conjecture, or the Syracuse problem, involves a sequence of numbers known as …
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Solve | Microsoft Math Solver
https://mathsolver.microsoft.com/en/solver
WEBOnline math solver with free step by step solutions to algebra, calculus, and other math problems. Get help on the web or with our math app.
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3x+1 - Symbolab
https://www.symbolab.com/solver/step-by-step/3x%2B1
WEB-x+3\gt 2x+1 ; line\:(1,\:2),\:(3,\:1) f(x)=x^3 ; prove\:\tan^2(x)-\sin^2(x)=\tan^2(x)\sin^2(x) \frac{d}{dx}(\frac{3x+9}{2-x}) (\sin^2(\theta))' \sin(120) \lim _{x\to 0}(x\ln (x)) \int e^x\cos (x)dx \int_{0}^{\pi}\sin(x)dx \sum_{n=0}^{\infty}\frac{3}{2^n} Show More
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The Ultimate Challenge: The 3x+1 Problem | Mathematical …
https://maa.org/press/maa-reviews/the-ultimate-challenge-the-3x1-problem
WEBIn his introduction, Lagarias writes of the 3x+1 Problem that “we should not exclude it from the mathematical universe just because we are unhappy with its difficulty. It is a fascinating and addictive problem.” Paul Erdős famously described the 3x+1 problem as a problem that “mathematics is not yet ready for.”
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The 3x+1 Problem - Grinnell College
https://chamberland.math.grinnell.edu/3x.html
WEB"The 3x+1 problem, also known as the Collatz problem, the Syracuse problem, Kakutani's problem, Hasse's algorithm, and Ulam's problem, concerns the behavior of the iterates of the function which takes odd integers n to 3n+1 and even integers n to n/2.
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A Simplified Solution to the Collatz Conjecture (3x+1 problem)
https://medium.com/@collatz/a-simplified-solution-to-the-collatz-conjecture-3x-1-problem-f3317ac8ca83
WEBSep 9, 2021 · When computing 3x+1 we need to split that up as: x + (2x+1). By doing this, we are assured that the “2x+1” number ends in a “11”. This is because doubling a number is equivalent to bit-shifting...
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