Happy π Day!
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Happy π Day! And Albert Einstein was born #OTD 147 years ago!
Isaac Newton used infinite series to compute π to 15 digits, later writing "I am ashamed to tell you to how many figures I carried these computations".
"I am enough of an artist to draw freely upon my imagination. Imagination is more important than knowledge. Knowledge is limited. Imagination encircles the world."
Einstein at PG:
https://www.gutenberg.org/ebooks/author/1630
@gutenberg_org Hang on, are we talking about Taylor or McLauren series here? Just curious about what the state of the art was at the time.
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@gutenberg_org sorry. Pi day in this country is not until 31st of April. April having only 30 days. So of course piday will not happen.
@capnthommo @gutenberg_org I think we're still allowed to have maths-based fun even if the date thing doesn't make much sense to us
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Happy π Day! And Albert Einstein was born #OTD 147 years ago!
Isaac Newton used infinite series to compute π to 15 digits, later writing "I am ashamed to tell you to how many figures I carried these computations".
"I am enough of an artist to draw freely upon my imagination. Imagination is more important than knowledge. Knowledge is limited. Imagination encircles the world."
Einstein at PG:
https://www.gutenberg.org/ebooks/author/1630And now we take pride in how far we can calculate pi.
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@gutenberg_org Hang on, are we talking about Taylor or McLauren series here? Just curious about what the state of the art was at the time.
@muddle we need to access this book to get a proper answer https://books.google.com/books/about/Pi_Unleashed.html?hl=pt-PT&id=QwwcmweJCDQC
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Happy π Day! And Albert Einstein was born #OTD 147 years ago!
Isaac Newton used infinite series to compute π to 15 digits, later writing "I am ashamed to tell you to how many figures I carried these computations".
"I am enough of an artist to draw freely upon my imagination. Imagination is more important than knowledge. Knowledge is limited. Imagination encircles the world."
Einstein at PG:
https://www.gutenberg.org/ebooks/author/1630@gutenberg_org ... reposted 3.14 times
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@capnthommo @gutenberg_org I think we're still allowed to have maths-based fun even if the date thing doesn't make much sense to us
@gnarf @capnthommo Agreed!!
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@gutenberg_org ... reposted 3.14 times
@drdusty Glad you managed it!
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@gutenberg_org Hang on, are we talking about Taylor or McLauren series here? Just curious about what the state of the art was at the time.
@muddle Should be Taylor series as mentioned here (as far as I remember): https://www.gutenberg.org/ebooks/76404
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@muddle Should be Taylor series as mentioned here (as far as I remember): https://www.gutenberg.org/ebooks/76404
@gutenberg_org Thanks! I somehow thought that the Taylor series was somewhat later than Newton's work on calculus but I guess that they were contemporaries and Newton would have been aware of Taylor's work (as well as earlier formulae for pi).
This could become a bit of a rabbit hole, but I'm reminded of Fabrice Bellard's more recent calculations (probably since surpassed?) and wondering what new techniques he used...
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R relay@relay.infosec.exchange shared this topic
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@gutenberg_org Thanks! I somehow thought that the Taylor series was somewhat later than Newton's work on calculus but I guess that they were contemporaries and Newton would have been aware of Taylor's work (as well as earlier formulae for pi).
This could become a bit of a rabbit hole, but I'm reminded of Fabrice Bellard's more recent calculations (probably since surpassed?) and wondering what new techniques he used...
@gutenberg_org answered here: https://www.bellard.org/pi/
