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Bill Gosper
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**[Open in Cloud][1] | Download to Desktop via Attachments Below** ---------- For ? Day. 2015, Wolfram Research stirred up publicity with the blog *"Pi or Pie?! Celebrating Pi Day of the Century (And How to Get Your Very Own Piece of Pi)"*:...
[**Open in Cloud**][2] | **Download to Desktop via Attachments Below** ----------- Briefly, a continued logarithm is an arbitrarily long bit string approximating a real number arbitrarily well, and supports arbitrarily precise bit-at-a-time...
&[embedded notebook][1] [1]: https://www.wolframcloud.com/obj/wolfram-community/Published/Bill_Triangular_numbers.nb
*NOTE: a notebook with all content is attached at the end of the post.* ---------- ![enter image description here][1] #Solving polynomials# A bunch of constant coefficients, a, b, c, ..., (numbers) determine a succession of polynomials ...
When you magnify a 1-dimensional figure by a factor of 2, you get twice as much. If you have Mathematica (or just a CDF player) you should try the accompanying notebook. When you slide **r**, the lengths of the blue arc and gold arc remain equal to...
Your age as a continued fraction is given by the function `CFage`. It computes the difference between a birth date and the current time. Then this period is measured in years and transformed into a continued fraction. One can also give dates as...
*NOTE: package and examples notebooks are attached at the end of this post* ---------- If you square a surd, and then take the square root, you just get it back. But how do you take the ? if you expand it after you square it? ![enter image...
[Jim Propp][1] once asked: *"Is there a way to relax an approximation to a space-filling curve in continuous time so that it works out its kinks and regresses to simpler approximations? No interim self-intersections please!"* Julian Ziegler Hunts...
*NOTE: the notebook with Wolfram Language code is attached at the end of the post* ---------- ![enter image description here][1] It's time to embrace matrix products. They strictly generalize infinite series, products, and continued...
*NOTE: All utility functions are defined at the end and also in the attached notebook.* ---------- You can compute the first million digits of $\pi$ without printing them in 0.314149, 0 ![enter image description here][1] and then...