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Andrew Brown
Works at MultiLing
Attended Brigham Young University
Lives in Provo, UT
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Andrew Brown

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Fallen.io, a short animated data-driven documentary about war and peace, explores the harrowing statistics of World War II and sizes up its numbers to other wars in history, i...
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In the 1960s, the English psychologist Peter Wason devised an experiment that would revolutionize his field. This clever puzzle, known…
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Artificial flavours are more complex than first appears. Chris Baraniuk discovers a world of sensory trickery – and a curious myth about fake banana.
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Beautiful prose about the life of a pilot and a flight from London to Tokyo.
En route from London to Tokyo, a pilot’s-eye view of life in the sky.
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I love the imagery and pictures he paints. Also, really fun to hear about waypoints and names. 
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https://medium.com/basic-income/self-driving-trucks-are-going-to-hit-us-like-a-human-driven-truck-b8507d9c5961

"All of this means the replacement of truckers is inevitable. It is not a matter of “if”, it’s only a matter of “when.” So the question then becomes, how long until millions of truckers are freshly unemployed and what happens to them and all the rest of us as a result?"
The imminent need for basic income in recognition of our machine-driven future
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Disregard the clickbait title.  This article is actually worth reading.
The world is poised to change dramatically over the next century, and in ways that you might not expect.
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Whoa... cool!
Richard Green originally shared to Mathematics:
 
A Curious Property of 82000

The number 82000 in base 10 is equal to 10100000001010000 in base 2, 11011111001 in base 3, 110001100 in base 4, and 10111000 in base 5. It is the smallest integer bigger than 1 whose expressions in bases 2, 3, 4, and 5 all consist entirely of zeros and ones.

What is remarkable about this property is how much the situation changes if we alter the question slightly. The smallest number bigger than 1 whose base 2, 3, and 4 representations consist of zeros and ones is 4. If we ask the same question for bases up to 3, the answer is 3, and for bases up to 2, the answer is 2. The question does not make sense for base 1, which is what leads to the sequence in the picture: [undefined], 2, 3, 4, 82000.

The graphic comes from a blog post by Thomas Oléron Evans. Most of the post discusses the intriguing problem of finding the next term in this sequence, and whether the next term even exists. In other words, does there exist an integer greater than 1 whose representations in bases 2, 3, 4, 5, and 6 all consist entirely of zeros and ones? 

The number 82000 does not satisfy these conditions, because the representation of this number in base 6 is 1431344. This means that the next number in the sequence, if it exists, must be some number bigger than 82000 whose representations in bases 2, 3, 4, and 5 all consist entirely of zeros and ones. Unfortunately, even these weaker conditions are very difficult to satisfy. An exhaustive search has been carried out up to 3125 digits in base 5 and no solution exists in this range. 

The upshot of this is that, if the next term in the sequence exists, it must have more than 2184 digits in base 10. (The 2184 comes from multiplying 3125 by the base 10 logarithm of 5.) However, there is also no known proof that the next term in the sequence does not exist.

Relevant links

Thomas Oléron Evans's blog post has much more discussion of this problem, at http://www.mathistopheles.co.uk/maths/covering-all-the-bases/solution-covering-all-the-bases/

Details of the exhaustive search can be found in the notes to the sequence http://oeis.org/A146025 in the On-Line Encyclopedia of Integer Sequences.

There is a nice online number base converter tool at http://www.cleavebooks.co.uk/scol/calnumba.htm

#mathematics #sciencesunday  
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SpaceX started with a plan to send mice to Mars. It got crazier from there.
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I recently left a job on Wall Street where some of my former coworkers donated large fractions of their income to charity. At least one was motivated to work on Wall Street by the possibility of earning more to donate more. I wondered: what does that say about my choice to leave?
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Local man of mystery
Education
  • Brigham Young University
  • Sheridan High School
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Gender
Male
Other names
Drew Brown
Work
Occupation
Software Engineer
Employment
  • MultiLing
    Software Engineer, 2010 - present
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Map of the places this user has livedMap of the places this user has livedMap of the places this user has lived
Currently
Provo, UT
Previously
Sheridan, WY - Lipetsk, Russia
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