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As an example of functional programming in REDUCE, here is an easy way to compute the 5th Taylor polynomial of about 0. In the following code, the control variable r takes values from 0 through 5 in steps of 1, df is the REDUCE differentiation operator and the operator sub performs substitution of its first argument into its second.
Visualization of the pipeline-algorithm with p = 5, m = 4 and addition as the reduction operator. For distributed memory models, it can make sense to use pipelined communication. This is especially the case when T start {\displaystyle T_{\text{start}}} is small in comparison to T byte {\displaystyle T_{\text{byte}}} .
For example, the process of rewriting a fraction into one with the smallest whole-number denominator possible (while keeping the numerator a whole number) is called "reducing a fraction". Rewriting a radical (or "root") expression with the smallest possible whole number under the radical symbol is called "reducing a radical".
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For example, it's quite possible to reduce a difficult-to-solve NP-complete problem like the boolean satisfiability problem to a trivial problem, like determining if a number equals zero, by having the reduction machine solve the problem in exponential time and output zero only if there is a solution. However, this does not achieve much ...
Incorporation of "low-cost thinking" into an organisation's culture [5]: 8 Half cost strategies: ambitious strategies which aim to reduce the costs of specific production processes or value adding stages to 1/N of the previous cost. [7] Examples specifically focussed on the use of suppliers and the costs of goods and services supplied include:
In computational complexity theory, a polynomial-time reduction is a method for solving one problem using another. One shows that if a hypothetical subroutine solving the second problem exists, then the first problem can be solved by transforming or reducing it to inputs for the second problem and calling the subroutine one or more times.
Combinator graph reduction is a fundamental implementation technique for functional programming languages, in which a program is converted into a combinator representation which is mapped to a directed graph data structure in computer memory, and program execution then consists of rewriting parts of this graph ("reducing" it) so as to move towards useful results.