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Pages in category "Pi algorithms" The following 17 pages are in this category, out of 17 total. This list may not reflect recent changes. A. ... Code of Conduct;
occam-π [6] is the common name for the occam variant implemented by later versions of the Kent Retargetable occam Compiler . The addition of the symbol π (pi) to the occam name is an allusion to KRoC occam including several ideas inspired by the π-calculus. It contains several significant extensions to the occam 2.1 compiler, for example:
Borwein's algorithm was devised by Jonathan and Peter Borwein to calculate the value of /. This and other algorithms can be found in the book Pi and the AGM – A Study in Analytic Number Theory and Computational Complexity .
When code generation occurs at runtime, as in just-in-time compilation (JIT), it is important that the entire process be efficient with respect to space and time. For example, when regular expressions are interpreted and used to generate code at runtime, a non-deterministic finite-state machine is often generated instead of a deterministic one, because usually the former can be created more ...
A spigot algorithm is an algorithm for computing the value of a transcendental number (such as π or e) that generates the digits of the number sequentially from left to right providing increasing precision as the algorithm proceeds. Spigot algorithms also aim to minimize the amount of intermediate storage required.
The search procedure consists of choosing a range of parameter values for s, b, and m, evaluating the sums out to many digits, and then using an integer relation-finding algorithm (typically Helaman Ferguson's PSLQ algorithm) to find a sequence A that adds up those intermediate sums to a well-known constant or perhaps to zero.
The π-calculus belongs to the family of process calculi, mathematical formalisms for describing and analyzing properties of concurrent computation.In fact, the π-calculus, like the λ-calculus, is so minimal that it does not contain primitives such as numbers, booleans, data structures, variables, functions, or even the usual control flow statements (such as if-then-else, while).
Prior to 2008, Kaffe, a Java virtual machine, used GMP to support Java built-in arbitrary precision arithmetic. [6] Shortly after, GMP support was added to GNU Classpath. [7] The main target applications of GMP are cryptography applications and research, Internet security applications, and computer algebra systems.