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  1. 連接至 Fibonacci Number

    Fibonacci number has become known as "Binet's formula", though it was already known by Abraham de Moivre and Daniel Bernoulli
  2. Abraham de Moivre - Wikipedia

    https://en.wikipedia.org/wiki/Abraham_de_Moivre翻譯此頁

    Abraham de Moivre was a French mathematician known for de Moivre's formula, a formula that links complex numbers and trigonometry, and for his work on the normal distribution and probability theory.
    He was a friend of Isaac Newton, Edmond Halley, and James Stirling. Even though he faced religious persecution he remained a "steadfast Christian" throughout his life. Among his fellow Huguenot exiles in England, he was a colleague of the editor and translator Pierre des Maizeaux.

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  3. Fibonacci number - Wikipedia

    https://en.wikipedia.org/wiki/Fibonacci_number翻譯此頁

    Fibonacci numbers are strongly related to the golden ratio: Binet's formula expresses the n th Fibonacci number in terms of n and the golden ratio, and implies that the ratio of two consecutive Fibonacci numbers tends to the golden ratio as n increases.. Fibonacci numbers are named after Italian mathematician Leonardo of Pisa, later known as Fibonacci. ...

  4. De Moivre's Theorem - YouTube

    https://www.youtube.com/watch?v=Qha-Lsdj5xo翻譯此頁

    Nov 13, 2015 · More resources available at www.misterwootube.com. Complex Numbers In Polar Form De Moivre's Theorem, Products, Quotients, Powers, and nth Roots Prec - Duration: 1:14:05. The Organic Chemistry ...

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  5. Fibonacci number - Unionpedia, the concept map

    https://en.unionpedia.org/Fibonacci_number翻譯此頁

    Abraham de Moivre. Abraham de Moivre (26 May 166727 November 1754) was a French mathematician known for de Moivre's formula, a formula that links complex numbers and trigonometry, and for his work on the normal distribution and probability theory. New!!: Fibonacci number and Abraham de Moivre · …

  6. Calculate Fibonacci numbers in several ways in C# - C# ...

    csharphelper.com/blog/2017/09/calculate-fibonacci...翻譯此頁

    Sep 08, 2017 · For some background on Fibonacci numbers and φ, see Examine the relationship between the Fibonacci sequence and phi in C#.. This example shows several ways to calculate Fibonacci numbers. While this is mostly for curiosity’s sake, this example does demonstrate a couple of important lessons here about recursion and look-up tables.

  7. Art of Problem Solving

    https://artofproblemsolving.com/wiki/index.php/Binet's_Formula翻譯此頁

    Binet's formula is an explicit formula used to find the th term of the Fibonacci sequence. It is so named because it was derived by mathematician Jacques Philippe Marie Binet, though it was already known by Abraham de Moivre. Formula. If is the th Fibonacci number, then . Proof

  8. Abraham de Moivre - Simple English Wikipedia, the free ...

    https://simple.wikipedia.org/wiki/Abraham_de_Moivre翻譯此頁

    De Moivre wrote a book on probability theory, The Doctrine of Chances, said to have been prized by gamblers. De Moivre first discovered Binet's formula, the closed-form expression for Fibonacci numbers linking the nth power of the golden ratio φ to the nth Fibonacci number.

  9. theissenonline.de/Mathematik/Formel von Moivre_Binet.pdf

    Formel von Moivre/Binet für die n-te Fibonacci-Zahl Eine Fibonacci-Zahl f(n) ist die Summe aus ihren beiden Vorgängern: (1) f (n 1) f (n) f (n 1).Man erhält sie aber auch, zumindest näherungsweise, indem man ihren Vorgänger mit etwa 1,6

  10. What is the 50th number in the Fibonacci series? - Quora

    https://www.quora.com/What-is-the-50th-number-in-the-Fibonacci-series · 翻譯此頁

    Jan 11, 2019 · > The Fibonacci numbers have a closed-form solution known as "Binet's formula", though it was already known by Abraham de Moivre and Daniel Bernoulli: [math ...

  11. Which came first: the Fibonacci Numbers or the Golden Ratio?

    https://mathoverflow.net/questions/302/which-came...翻譯此頁

    I know that the Fibonacci numbers converge to a ratio of .618, and that this ratio is found all throughout nature, etc. ... Which came first: the Fibonacci Numbers or the Golden Ratio? Ask Question Asked 10 ... years. However, I believe the connection between the two was discovered around 1730. At that time, Daniel Bernoulli and Abraham de ...

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