Comparison sorts | Sorting algorithms

Proportion extend sort

Proportion extend sort (abbreviated as PESort) is an in-place, comparison-based sorting algorithm which attempts to improve on the performance, particularly the worst-case performance, of quicksort. The basic partitioning operation in quicksort has a linear access pattern which is extremely efficient on modern memory hierarchies, but the performance of the algorithm is critically dependent on the choice of a pivot value. A good pivot will divide the data to be sorted into nearly-equal halves. A poor choice will result in a grossly lopsided division, leaving one part almost as large as the original problem and causing O(n2) performance. Proportion extend sort begins with a sorted prefix of k elements, then uses the median of that sample to partition the following pk elements. By bounding the size ratio p between the sample and the data being partitioned (i.e. the proportion by which the sorted prefix is extended), the imbalance is limited. In this, it has some similarities to samplesort. (Wikipedia).

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Proportions

This video defines a proportion and explains how to solve a proportion. http://mathispower4u.wordpress.com/

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Ex: Solve a Proportion or Equation in the Form a/x=b

This video explains how to solve a proportion when one side of the equation is a whole number. The method of clearing the fraction is used, not cross multiplication.

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Ex: Solve a Proportion by Clearing Fractions (x/a=b/c, Fraction Solutions)

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Ex: Solve a Proportion or Equation in the Form x/a=b

This video explains how to solve a proportion when one side of the equation is a whole number. The method of clearing the fraction is used, not cross multiplication.

From playlist Proportions

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Ex: Solve a Proportion by Clearing Fractions ((a/x=b/c, Fraction Solution)

This video explains how to solve a proportion by cleaning the fractions. The variable is on the bottom. It does not show cross multiplication. The solutions are fractions.

From playlist Proportions

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Ex: Solve a Proportion by Clearing Fractions (a/x=b/c, Whole Num Solution)

This video explains how to solve a proportion by cleaning the fractions. The variable is on the bottom. It does not show cross multiplication. The solutions are whole numbers.

From playlist Proportions

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Ex: Solve a Proportion with a Complex Fraction by Clearing Fractions

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Related pages

Samplesort | Sorting algorithm | Tail call | Insertion sort | Sentinel value | Recursion | Quicksort