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Flashsort, the Glossary

Index Flashsort

Flashsort is a distribution sorting algorithm showing ''O''(''n'') for uniformly distributed data sets and relatively little additional memory requirement.[1]

Table of Contents

  1. 19 relations: A priori and a posteriori, Big O notation, Bucket sort, CPU cache, Cycles and fixed points, Heapsort, In-place algorithm, Insertion sort, Interpolation search, Interpolation sort, Loop invariant, Mathematical induction, Memory hierarchy, Prefix sum, Probability distribution, Q.E.D., Quantile, Quicksort, Search algorithm.

  2. Sorting algorithms

A priori and a posteriori

A priori ('from the earlier') and a posteriori ('from the later') are Latin phrases used in philosophy to distinguish types of knowledge, justification, or argument by their reliance on experience.

See Flashsort and A priori and a posteriori

Big O notation

Big O notation is a mathematical notation that describes the limiting behavior of a function when the argument tends towards a particular value or infinity.

See Flashsort and Big O notation

Bucket sort

Bucket sort, or bin sort, is a sorting algorithm that works by distributing the elements of an array into a number of buckets. Flashsort and bucket sort are sorting algorithms.

See Flashsort and Bucket sort

CPU cache

A CPU cache is a hardware cache used by the central processing unit (CPU) of a computer to reduce the average cost (time or energy) to access data from the main memory.

See Flashsort and CPU cache

Cycles and fixed points

In mathematics, the cycles of a permutation of a finite set S correspond bijectively to the orbits of the subgroup generated by acting on S. These orbits are subsets of S that can be written as, such that The corresponding cycle of is written as (c1 c2... cn); this expression is not unique since c1 can be chosen to be any element of the orbit.

See Flashsort and Cycles and fixed points

Heapsort

In computer science, heapsort is a comparison-based sorting algorithm which can be thought of as "an implementation of selection sort using the right data structure." Like selection sort, heapsort divides its input into a sorted and an unsorted region, and it iteratively shrinks the unsorted region by extracting the largest element from it and inserting it into the sorted region.

See Flashsort and Heapsort

In-place algorithm

In computer science, an in-place algorithm is an algorithm that operates directly on the input data structure without requiring extra space proportional to the input size.

See Flashsort and In-place algorithm

Insertion sort

Insertion sort is a simple sorting algorithm that builds the final sorted array (or list) one item at a time by comparisons.

See Flashsort and Insertion sort

Interpolation search is an algorithm for searching for a key in an array that has been ordered by numerical values assigned to the keys (key values).

See Flashsort and Interpolation search

Interpolation sort

Interpolation sort is a sorting algorithm that is a kind of bucket sort. Flashsort and Interpolation sort are sorting algorithms.

See Flashsort and Interpolation sort

Loop invariant

In computer science, a loop invariant is a property of a program loop that is true before (and after) each iteration.

See Flashsort and Loop invariant

Mathematical induction

Mathematical induction is a method for proving that a statement P(n) is true for every natural number n, that is, that the infinitely many cases P(0), P(1), P(2), P(3), \dots  all hold.

See Flashsort and Mathematical induction

Memory hierarchy

In computer organisation, the memory hierarchy separates computer storage into a hierarchy based on response time.

See Flashsort and Memory hierarchy

Prefix sum

In computer science, the prefix sum, cumulative sum, inclusive scan, or simply scan of a sequence of numbers is a second sequence of numbers, the sums of prefixes (running totals) of the input sequence: For instance, the prefix sums of the natural numbers are the triangular numbers: |- !input numbers | 1 || 2 || 3 || 4 || 5 || 6 ||...

See Flashsort and Prefix sum

Probability distribution

In probability theory and statistics, a probability distribution is the mathematical function that gives the probabilities of occurrence of possible outcomes for an experiment.

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Q.E.D.

Q.E.D. or QED is an initialism of the Latin phrase quod erat demonstrandum, meaning "that which was to be demonstrated".

See Flashsort and Q.E.D.

Quantile

In statistics and probability, quantiles are cut points dividing the range of a probability distribution into continuous intervals with equal probabilities, or dividing the observations in a sample in the same way.

See Flashsort and Quantile

Quicksort

Quicksort is an efficient, general-purpose sorting algorithm.

See Flashsort and Quicksort

Search algorithm

In computer science, a search algorithm is an algorithm designed to solve a search problem.

See Flashsort and Search algorithm

See also

Sorting algorithms

References

[1] https://en.wikipedia.org/wiki/Flashsort