مستخدم:Chaos/قائمة الخوارزميات
الخوارزميات[عدل]
See also the قائمة بنى البيانات, قائمة مواضيع الخوارزميات العامة and قائمة المصطلحات المتعلقة بالخوارزميات و بنى البيانات.
خوارزميات توافقية Combinatorial algorithms[عدل]
الخوارزميات التوافقية العامة[عدل]
- Floyd's cycle-finding algorithm: finds cycles in iterations
- (uniformly distributed) Pseudorandom number generators:
- Robinson-Schensted algorithm: generates permutations from pairs of Young tableaux
خوازميات المخططات[عدل]
مقالة رئيسية : نظرية المخططات
- خوارزمية بلمان-فورد : تحسب المسار الاقصر في مخطط موزون في حين ان الاوزان على الاضلاع قد تكون موجبة وسالبة .
- خوارزمية دكسترا : تحسب المسار الاقصر في مخطط موزون في حين ان الاوزان على الاضلاع موجبة .
- Floyd-Warshall algorithm: solves the all pairs shortest path problem in a weighted, directed graph
- Johnson algorithm: All pairs shortest path algorithm in sparse weighted directed graph
- Kruskal's algorithm: finds a minimum spanning tree for a graph
- Prim's algorithm: finds a minimum spanning tree for a graph
- Boruvka's algorithm: finds a minimum spanning tree for a graph
- Ford-Fulkerson algorithm: computes the maximum flow in a graph
- Edmonds-Karp algorithm: implementation of Ford-Fulkerson
- Nonblocking Minimal Spanning Switch say, for a telephone exchange
- Spring based algorithm: algorithm for graph drawing
- Topological sort
- Hungarian algorithm: algorithm for finding a perfect matching
- Coloring algorithm: Graph coloring algorithm.
- Nearest neighbour algorithm: Nearest neighbor algorithm
خوارزميات البحث[عدل]
- بحث خطي Linear search : إيجاد عنصر في قائمة غير مرتبة .
- خوارزمية الاختيار Selection algorithm : إيجاد أكبر (ثاني , ثالث , ...) عنصر في القائمة .
- خوارزمية بحث ثنائي: يحدد موقع عنصر معين في قائمة مرتبة.
- شجرة بحث ثنائي
- Breadth-first search: traverses a graph level by level
- Depth-first search: traverses a graph branch by branch
- Best-first search: traverses a graph in the order of likely importance using a priority queue
- A* tree search: special case of best-first search that uses heuristics to improve speed
- Uniform-cost search: a tree search that finds the lowest cost route where costs vary
- Predictive search: binary like search which factors in magnitude of search term versus the high and low values in the search. Sometimes called dictionary search or interpolated search.
- جدول هاش: finds an item in an unsorted collection in O(1) time.
خوارزميات السلاسل النصية String algorithms[عدل]
البحث[عدل]
- Aho-Corasick algorithm
- Bitap algorithm
- Boyer-Moore string search algorithm
- Knuth-Morris-Pratt algorithm
- Rabin-Karp string search algorithm
- Longest-common subsequence problem: Haskell's dynamic programming algorithm
- Longest increasing subsequence problem
- Shortest common supersequence problem
- longest common substring problem
المطابقة مع الأقرب Approximate matching[عدل]
خوارزميات الترتيب[عدل]
- Binary tree sort
- Bogosort
- ترتيب الفقاعات: for each pair of indices, swap the items if out of order
- Bucket sort
- Comb sort
- Cocktail sort
- Counting sort
- Gnome sort
- Heapsort: convert the list into a heap, keep removing the largest element from the heap and adding it to the end of the list
- ترتيب بالإدراج: determine where the current item belongs in the list of sorted ones, and insert it there
- Merge sort: sort the first and second half of the list separately, then merge the sorted lists
- Pancake sorting
- Pigeonhole sort
- Quicksort: divide list into two, with all items on the first list coming before all items on the second list.; then sort the two lists. Often the method of choice
- Radix sort: sorts strings letter by letter
- Selection sort: pick the smallest of the remaining elements, add it to the end of the sorted list
- Shell sort: an attempt to improve insertion sort
- Smoothsort
- Topological sort
خوارزميات الدمج[عدل]
- Simple Merge algorithm
- k-way Merge algorithm
خوارزميات الضغط[عدل]
Lossless compression algorithms[عدل]
- Burrows-Wheeler transform: preprocessing useful for improving lossless compression
- DEFLATE: lossless data compression
- Delta encoding: aid to compression of data in which sequential data occurs frequently
- Incremental encoding: delta encoding applied to sequences of strings
- LZW: lossless data compression (Lempel-Ziv-Welch)
- LZ77 (algorithm): LZ77 and LZ78 are the names for the two lossless data compression algorithms
- LZMA: short for Lempel-Ziv-Markov chain-Algorithm
- LZO: data compression algorithm that is focused on speed
- PPM compression algorithm
- Shannon-Fano coding
- Truncated binary encoding
- Run-length encoding: lossless data compression taking advantage of strings of repeated characters
- SEQUITUR algorithm: lossless compression by incremental grammar inference on a string
- EZW (Embedded Zerotree Wavelet)
- Entropy encoding: coding scheme that assigns codes to symbols so as to match code lengths with the probabilities of the symbols
- ترميز هوفمان: simple lossless compression taking advantage of relative character frequencies
- Adaptive Huffman coding: adaptive coding technique based on Huffman coding
- Arithmetic coding: advanced entropy coding
- Range encoding: data compression method that is believed to approach the compression ratio of arithmetic coding
- ترميز هوفمان: simple lossless compression taking advantage of relative character frequencies
- Entropy coding with known entropy characteristics
- Unary coding: code that represents a number n with n ones followed by a zero
- Elias delta|gamma|omega coding: universal code encoding the positive integers
- Fibonacci coding: universal code which encodes positive integers into binary code words
- Golomb coding: form of entropy coding that is optimal for alphabets following geometric distributions
- Rice coding: form of entropy coding that is optimal for alphabets following geometric distributions
Lossy compression algorithms[عدل]
- Linear predictive coding: lossy compression by representing the spectral envelope of a digital signal of speech in compressed form
- A-law algorithm: standard companding algorithm
- Mu-law algorithm: standard analog signal compression or companding algorithm
- Fractal compression: method used to compress images using fractals
- Transform coding: type of data compression for "natural" data like audio signals or photographic images
- [[Vector quantization]]: technique often used in lossy data compression
- Wavelet compression: form of data compression well suited for image compression (sometimes also video compression and audio compression)
هندسة حاسوبية Computational geometry[عدل]
- Gift wrapping algorithm: determining the convex hull of a set of points
- Gilbert-Johnson-Keerthi distance algorithm: determining the smallest distance between two convex shapes.
- Graham scan determining the convex hull of a set of points in the plane
- Point in polygon: tests whether a given point lies within a given polygon
رسوميات حاسوبية[عدل]
- خوارزمية بريزنهام لرسم مستقيم: plots points of a 2-dimensional array to form a straight line between 2 specified points (uses decision variables)
- Line drawing algorithm: graphical algorithm for approximating a line segment on discrete graphical media.
- DDA line algorithm: plots points of a 2-dimensional array to form a straight line between 2 specified points (uses floating-point math)
- Flood fill: fills a connected region of a multi-dimensional array with a specified symbol
- Xiaolin Wu's line algorithm: algorithm for line antialiasing.
- Painter's algorithm: detects visible parts of a 3-dimensional scenery
- Ray tracing: realistic image rendering
- Phong shading: an illumination model and an interpolation method in 3D computer graphics
- Gouraud shading: an algorithm to simulate the differing effects of light and colour across the surface of an object in 3D computer graphics
- Scanline rendering: constructs an image by moving an imaginary line over the image
- Global illumination algorithms: Considers direct illumination and reflection from other objects.
- استيفاء: Constructing new data points such as in digital zoom.
- Spline interpolation: Reduces error with Runge's phenomenon.
رؤية حاسوبية Computer vision[عدل]
- Epitome: represent an image or video by a smaller image or video.
Cryptographic algorithms[عدل]
(See also Topics in cryptography for an 'analytical glossary')
- Symmetric (secret key) encryption:
- Advanced Encryption Standard (AES), winner of NIST competition
- Blowfish
- Data Encryption Standard (DES), sometimes DE Algorithm, winner of NBS selection competition, replaced by AES for most purposes
- IDEA
- RC4 (cipher)
- Asymmetric (public key) encryption:
- Cryptographic Message digest functions:
- MD5 – Note that there is now a method of generating collisions for MD5
- RIPEMD-160
- SHA-1
- HMAC: keyed-hash message authentication
- Tiger (TTH), usually used in Tiger tree hashes
- Cryptographically secure pseudo-random number generators
- Blum Blum Shub - based on the hardness of factorization
- Yarrow algorithm
- Fortuna, allegedly an improvement on Yarrow
- Other
- Diffie-Hellman: key exchange
معالجة الإشارات الرقمية Digital signal processing[عدل]
- CORDIC: Fast trigonometric function computation technique.
- Rainflow-counting algorithm: Reduces a complex stress history to a count of elementary stress-reversals for use in fatigue analysis
- Osem: algorithm for processing of medical images
- Goertzel algorithm Can be used for DTMF digit decoding.
- Discrete Fourier transform: determines the frequencies contained in a (segment of a) signal
- Richardson-Lucy deconvolution: image de-blurring algorithm
Distributed systems algorithms[عدل]
- Lamport ordering: a partial ordering of events based on the happened-before relation
- Snapshot algorithm: a snapshot is the process of recording the global state of a system
- Vector clocks: a total ordering of events
- Marzullo's algorithm: distributed clock synchronization
- intersection algorithm: Another clock agreement algorithm.
خوارزميات جينية[عدل]
- Fitness proportionate selection: also known as roulette-wheel selection
خوارزميات طبية[عدل]
Memory Allocation and deallocation algorithms[عدل]
- Boehm garbage collector: Conservative garbage collector
- Buddy memory allocation: Algorithm to allocate memory such that fragmentation is less.
- Generational garbage collector: Fast garbage collectors that segregate memory by age
- Mark and sweep
- Reference counting
شبكات عصبونية[عدل]
جبر عددي Numerical algebra[عدل]
- Buchberger's algorithm: finds a Gröbner basis
- Eigenvalue algorithm
- Exponentiating by squaring: quickly computes powers of numbers and matrices
- Gram-Schmidt process: orthogonalizes a set of vectors
- Knuth-Bendix completion algorithm: for rewriting rule systems
- Multivariate division algorithm: for polynomials in several indeterminates
خوارزميات نظرية عددية[عدل]
- خوارزمية متقطعة Discrete logarithm :
- Euclidean algorithm: computes the greatest common divisor
- Extended Euclidean algorithm: Also solves the equation ax+by = c.
- خوارزمية أقليدس: طريقة فعالة لحساب gcd.
- تحليل عدد صحيح إلى عوامل: breaking an integer into its prime factors
- Multiplication algorithms: fast multiplication of two numbers
- خوارزمية بووث للضرب
- Primality tests: determining whether a given number is prime
خوارزميات عددية[عدل]
See also main article numerical analysis and list of numerical analysis topics
- Dancing Links: finds all solutions to the exact cover problem
- De Boor algorithm: computes splines
- De Casteljau's algorithm: computes Bezier curves
- False position method: approximates roots of a function
- Gauss-Jordan elimination: solves systems of linear equations
- Gauss-Legendre algorithm: computes the digits of pi
- Kahan summation algorithm: a more accurate method of summing floating-point numbers
- MISER algorithm: Monte Carlo simulation, numerical integration
- Newton's method: finds zeros of functions with calculus
- Rounding functions: the classic ways to round numbers
- Secant method: approximates roots of a function
- Shifting nth-root algorithm: digit by digit root extraction
- Square root: approximates the square root of a number
- Strassen algorithm: faster matrix multiplication
- Symbolic Cholesky decomposition: Efficient way of storing sparse matrix
- Risch algorithm: Translates indefinite integral to algebraic problem
خوارزميات أنظمة التشغيل[عدل]
- Banker's algorithm: Algorithm used for deadlock avoidance.
- Page replacement algorithms: Selecting the victim page under low memory conditions.
- Bully algorithm: Selecting new leader among many computers.
- rsync: Algorithm used to transmit files efficiently between two computers.
Disk scheduling algorithms:
- Elevator algorithm: Disk scheduling algorithm that works like an elevator.
- shortest seek first: Disk scheduling algorithm to reduce seek time.
Process synchronisation algorithms:
- Rate-monotonic scheduling
- Earliest deadline first scheduling
- Fair-share scheduling
- Round-robin scheduling
- Multi level feedback queue
- shortest job next
- shortest remaining time
- Least slack time scheduling
- List scheduling
رياضيات الاستمثال[عدل]
- Ant colony optimization
- BFGS method: A nonlinear optimization algorithm
- Branch and bound
- Chain matrix multiplication
- Conjugate gradient
- Differential evolution
- Evolution strategy
- Gauss-Newton algorithm: An algorithm for solving nonlinear least squares problems.
- Genetic algorithms
- Gradient descent
- Levenberg-Marquardt algorithm: An algorithm for solving nonlinear least squares problems.
- Line search
- Local search
- Nelder-Mead method (downhill simplex method): A nonlinear optimization algorithm.
- Newton's method in optimization
- Particle swarm
- Random-restart hill climbing
- Simplex algorithm: An algorithm for solving the linear programming problem
- Simulated annealing
- Stochastic tunneling
- Subset sum algorithm
- Tabu search
Parsing[عدل]
- Recursive descent parser: A top-down parser suitable for LL(k) grammars
- LL parser: A relatively simple linear time parsing algorithm for a limited class of context-free grammars
- LR parser: A more complex linear time parsing algorithm for a larger class of context-free grammars. Variants:
- Packrat parser: A linear time parsing algorithm supporting some context-free grammars and parsing expression grammars
- CYK algorithm: An O(n3) algorithm for parsing any context-free grammar
- Earley's algorithm: Another O(n3) algorithm for parsing any context-free grammar
- GLR parser:An algorithm for parsing any context-free grammar from tomita. It is tuned for deterministic grammars, on which it performs almost linear time and O(n3) in worst case.
خوارزميات كمومية[عدل]
Application of quantum computation to various categories of problems and algorithms
- Grover's algorithm: provides quadratic speedup for many search problems
- Shor's algorithm: provides exponential speedup for factorizing a number
- Deutsch-Jozsa algorithm: criterion of balance for Boolean function
هدسة البرمجيات[عدل]
- Algorithms for Recovery and Isolation Exploiting Semantics: recovery
- Unicode Collation Algorithm
- CHS conversion: Converting between disk addressing systems
- Cyclic redundancy check: calculation of a check word
- Parity: Simple/fast error detection technique. Is a number even or odd?
نظرية التحسيب و الأتمتة[عدل]
- Powerset construction: Algorithm to convert nondeterministic automaton to deterministic automaton.
- Todd-Coxeter algorithm: Procedure for generating cosets.
مواضيع أخرى[عدل]
- خوارزمية فلكية
- Baum-Welch algorithm
- Bit manipulation algorithms: Create bit mask algorithm
- Doomsday algorithm: day of the week
- Schreier-Sims algorithm
- Viterbi algorithm
- Xor swap algorithm: swaps the values of two variables without using a buffer
- Luhn algorithm: a method of validating identification numbers
{{بوابة رياضيات}} [[تصنيف:خوارزميات|*]] [[تصنيف:قوائم رياضية|خوارزميات]]