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The Most-Used Mathematical Algorithm Idea in History (2016)

181 点作者 daneelsan大约 4 年前

11 条评论

bransonf大约 4 年前
Amazing... learning of the existence&#x2F;term of polyominoes is a breakthrough for me.<p>I’ve recently been working on developing a novel statistical test to quantify sensitivity to the modifiable areal unit problem (MAUP). The limiting factor has been the ability to efficiently generate arbitrarily shaped polygons on a lattice at random. In essence, this is needed to stochastically reallocate a spatial characteristic and measure variance.<p>Apparently, the exact solution I’m looking for is Donald Knuth’s algorithm X [0]. And I also found this interesting application of the algorithm [1].<p>I simply cannot express how much my curiosity has just peaked. Moreover, I now have reason to cite both Solomon Golomb and Donald Knuth in a paper.<p>[0] <a href="https:&#x2F;&#x2F;en.m.wikipedia.org&#x2F;wiki&#x2F;Knuth%27s_Algorithm_X" rel="nofollow">https:&#x2F;&#x2F;en.m.wikipedia.org&#x2F;wiki&#x2F;Knuth%27s_Algorithm_X</a><p>[1] <a href="https:&#x2F;&#x2F;gfredericks.com&#x2F;blog&#x2F;99" rel="nofollow">https:&#x2F;&#x2F;gfredericks.com&#x2F;blog&#x2F;99</a>
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psychometry大约 4 年前
If I die famous someday, I really hope Stephen Wolfram doesn&#x27;t write my obituary...
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miguelmurca大约 4 年前
Kind of a side note, but Stephen Wolfram really has a way to make things about himself.
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gigatexal大约 4 年前
Awesome article. I’ve a new hero to add to my list of people I’d thank a million times over for their contributions to modern tech. Thank you Sol!
betterunix2大约 4 年前
Pretty sure that honor goes to positional number systems and the arithmetic algorithms like carry-based addition.
SavantIdiot大约 4 年前
Is there a reason why it is called a &quot;Mathematical Algorithm Idea&quot; instead of &quot;Mathematical Algorithm&quot;? The pedant wants to know if that&#x27;s a specific classification of algorithms, and the gatekeeper in me wants to penalize grammar.
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peteretep大约 4 年前
Did his grand theory of everything ever come to anything?
PoignardAzur大约 4 年前
&gt; And by comparing delay times from different satellites, the receiver can triangulate its position<p>Argh! It&#x27;s not triangulating, it&#x27;s trilaterating.<p>Good article, though.
YaSamPoSebe大约 4 年前
Isn&#x27;t that dynamic programming instead? Or more generally, the idea of time-memory tradeoff.
sjwright大约 4 年前
I wonder how that would compare to the Fourier transform?
xbar大约 4 年前
RIP Solomon Golomb