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Sunday, 6 May 2012. How do I construct a Dispatch table? Say you have a graph (network) consisting of. Vertices in a loop:. You want to traverse the graph by applying these rewrite rules to an initial vertex. You can perform a single step with. But this is doing a linear search over. Trying to find the. With a lhs that matches the expression. So applying the rules many times is slow:. Rules &, 0, 10000] /. Allows us to precompute a hash table that turns the linear lookup into a constant-time lookup:.

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Sunday, 6 May 2012. How do I construct a Dispatch table? Say you have a graph (network) consisting of. Vertices in a loop:. You want to traverse the graph by applying these rewrite rules to an initial vertex. You can perform a single step with. But this is doing a linear search over. Trying to find the. With a lhs that matches the expression. So applying the rules many times is slow:. Rules &, 0, 10000] /. Allows us to precompute a hash table that turns the linear lookup into a constant-time lookup:.
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Mathematica News | mathematicanews.blogspot.com Reviews

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Sunday, 6 May 2012. How do I construct a Dispatch table? Say you have a graph (network) consisting of. Vertices in a loop:. You want to traverse the graph by applying these rewrite rules to an initial vertex. You can perform a single step with. But this is doing a linear search over. Trying to find the. With a lhs that matches the expression. So applying the rules many times is slow:. Rules &, 0, 10000] /. Allows us to precompute a hash table that turns the linear lookup into a constant-time lookup:.

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Mathematica News: July 2010

http://mathematicanews.blogspot.com/2010_07_01_archive.html

Friday, 30 July 2010. Bubble sort in a Mathematica pattern. The Mathematica programming language has many unusual characteristics, two of which are:. Everything is an expression. Pattern-based rewrite rules are obscenely powerful. Bubble[xs , x , y , ys ] := bubble[xs, y, x, ys] /; x y. This definition causes a new rewrite rule to be injected into Mathematica's global table of rewrite rules. Mathematica then applies this rule to any subexpression it sees that has the form bubble[.]. Mathematica does not ...

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Mathematica News: Speeds of different kinds of "functions" in Mathematica

http://mathematicanews.blogspot.com/2012/05/speeds-of-different-kinds-of-functions.html

Friday, 4 May 2012. Speeds of different kinds of "functions" in Mathematica. Note that you are never really "executing functions" in Mathematica. You are just applying rewrite rules to change one expression into another. Function over a packed array of floating point numbers. The fastest solution in Mathematica is to apply the. Function directly to the packed array because it happens to implement exactly what we want and is optimized for this special case:. Such that the square root will be calculated:.

3

Mathematica News: Tree data structure in Mathematica

http://mathematicanews.blogspot.com/2012/05/tree-data-structure-in-mathematica.html

Sunday, 6 May 2012. Tree data structure in Mathematica. I have used mathematica mostly as a mathematics workbench and for writing relatively small ad-hoc programs. Mathematica really excels at this. What approach have you used with regard to data structures? Gradually developing your own util package? Here is the equivalent F#:. Y1 let rec filter f. F x then x. Filter f xs let rec search n nqs qs ps a. Search n nqs qs ps let ps n. The Stack Overflow question Mathematica "linked lists" and performance.

4

Mathematica News: How can I parse (read programmatically) Mathematica code?

http://mathematicanews.blogspot.com/2012/05/how-can-i-parse-read-programmatically.html

Friday, 4 May 2012. How can I parse (read programmatically) Mathematica code? We wrote a Mathematica parser in 300 lines of OCaml. Code under contract for Wolfram Research and found it to be quite easy because the grammar is. Clearly documented in their literature. And any ambiguities are easily found by playing with Mathematica itself. Subscribe to: Post Comments (Atom). Time-frequency analysis (Mathematica library). Visual F# 2010 for Technical Computing (book). The F#.NET Journal (on-line magazine).

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Mathematica News: May 2012

http://mathematicanews.blogspot.com/2012_05_01_archive.html

Sunday, 6 May 2012. How do I construct a Dispatch table? Say you have a graph (network) consisting of. Vertices in a loop:. You want to traverse the graph by applying these rewrite rules to an initial vertex. You can perform a single step with. But this is doing a linear search over. Trying to find the. With a lhs that matches the expression. So applying the rules many times is slow:. Rules &, 0, 10000] /. Allows us to precompute a hash table that turns the linear lookup into a constant-time lookup:.

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Sunday, 6 May 2012. How do I construct a Dispatch table? Say you have a graph (network) consisting of. Vertices in a loop:. You want to traverse the graph by applying these rewrite rules to an initial vertex. You can perform a single step with. But this is doing a linear search over. Trying to find the. With a lhs that matches the expression. So applying the rules many times is slow:. Rules &, 0, 10000] /. Allows us to precompute a hash table that turns the linear lookup into a constant-time lookup:.

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