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A CSS pseudo-class. See the W3C standard. monobook/main.css (screen, projection) — active Used on the active tab button (monobook).
A pseudo-class classifies document elements, such as : link or : visited, whereas a pseudo-element makes a selection that may consist of partial elements, such as :: first-line or :: first-letter. [7] Note the distinction between the double-colon notation used for pseudo-elements and the single-colon notation used for pseudo-classes.
Graphs of functions commonly used in the analysis of algorithms, showing the number of operations N as the result of input size n for each function. In theoretical computer science, the time complexity is the computational complexity that describes the amount of computer time it takes to run an algorithm.
In computational complexity theory, a numeric algorithm runs in pseudo-polynomial time if its running time is a polynomial in the numeric value of the input (the largest integer present in the input)—but not necessarily in the length of the input (the number of bits required to represent it), which is the case for polynomial time algorithms.
Assuming P ≠ NP, the following are true for computational problems on integers: [3] If a problem is weakly NP-hard, then it does not have a weakly polynomial time algorithm (polynomial in the number of integers and the number of bits in the largest integer), but it may have a pseudopolynomial time algorithm (polynomial in the number of integers and the magnitude of the largest integer).
This algorithm runs in time O(K N), where N is the number of elements in the input set and K is the sum of elements in the input set. The algorithm can be extended to the k -way multi-partitioning problem, but then takes O ( n ( k − 1) m k − 1 ) memory where m is the largest number in the input, making it impractical even for k = 3 unless ...
A strongly-polynomial time algorithm is polynomial in both models, whereas a weakly-polynomial time algorithm is polynomial only in the Turing machine model. The difference between strongly- and weakly-polynomial time is when the inputs to the algorithms consist of integer or rational numbers. It is particularly common in optimization.
Intuitively, (1) allows one to reason about instances of in terms of instances of (and back), (2) ensures that deciding using the transformation and a pseudo-polynomial decider for is pseudo-polynomial itself, (3) enforces that grows fast enough so that must have a pseudo-polynomial decider, and (4) enforces that a subproblem of that testifies ...