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0 {\displaystyle n\geq 0} , are briefly called finite p-groups. The p-group generation algorithm by M. F. Newman and E. A. O'Brien is a recursive process
P-group_generation_algorithm
Special-purpose algorithm for factoring integers
example of an algebraic-group factorisation algorithm. The factors it finds are ones for which the number preceding the factor, p − 1, is powersmooth; the
Pollard's_p_−_1_algorithm
Algorithm for shuffling a finite sequence
The Fisher–Yates shuffle is an algorithm for shuffling a finite sequence. The algorithm takes a list of all the elements of the sequence, and continually
Fisher–Yates_shuffle
Competitive algorithm for searching a problem space
form a new generation. The new generation of candidate solutions is then used in the next iteration of the algorithm. Commonly, the algorithm terminates
Genetic_algorithm
for an assigned starting group which is taken as the root R {\displaystyle R} of the tree. The p-group generation algorithm is a recursive process for
Descendant tree (group theory)
Descendant_tree_(group_theory)
Subdivision of space into cells
realizations; see Combinatorial Techniques for Hexahedral Mesh Generation. While known algorithms generate simplicial meshes with guaranteed minimum quality
Mesh_generation
Creating sequence of numbers that cannot be predicted
The generation of pseudorandom numbers is an important and common task in computer programming. While cryptography and certain numerical algorithms require
Random_number_generation
Family of algorithms used in procedural generation
collapse or 'wfc') is a family of constraint-solving algorithms commonly used in procedural generation, especially in the video game industry. Some video
Model_synthesis
Unsolved problem in computer science
of the input to the algorithm. The general class of questions that some algorithm can answer in polynomial time is "P" or "class P". For some questions
P_versus_NP_problem
Decomposition of a number into a product
one by Brent. Algebraic-group factorization algorithms, among which are Pollard's p − 1 algorithm, Williams' p + 1 algorithm, and Lenstra elliptic curve
Integer_factorization
Approach to public-key cryptography
for digital signature generation and key exchange. Suite B was later superseded by the Commercial National Security Algorithm Suite (CNSA), and NSA announced
Elliptic-curve_cryptography
Public-key cryptosystem
cryptography, the ElGamal encryption system is a public-key encryption algorithm based on the Diffie–Hellman key exchange. It was described by Taher Elgamal
ElGamal_encryption
Data-mining algorithm
a time (a step known as candidate generation), and groups of candidates are tested against the data. The algorithm terminates when no further successful
Apriori_algorithm
Digital verification standard
algorithm involves four operations: key generation (which creates the key pair), key distribution, signing and signature verification. Key generation
Digital_Signature_Algorithm
Cohort born from 1997 to 2012
defines Generation Z as "the generation of people born in the late 1990s and early 2000s". The Oxford Dictionaries define Generation Z as "the group of people
Generation_Z
Method of exchanging cryptographic keys
gab. This is currently considered difficult for groups whose order is large enough. An efficient algorithm to solve the discrete logarithm problem would
Diffie–Hellman_key_exchange
Algorithm for public-key cryptography
Security released the algorithm to the public domain on 6 September 2000. The RSA algorithm involves four steps: key generation, key distribution, public-key
RSA_cryptosystem
Optimization algorithm
computer science and operations research, the ant colony optimization algorithm (ACO) is a probabilistic technique for solving computational problems
Ant colony optimization algorithms
Ant_colony_optimization_algorithms
Number of bits in a key used by a cryptographic algorithm
in a key used by a cryptographic algorithm (such as a cipher). Key length defines the upper-bound on an algorithm's security (i.e. a logarithmic measure
Key_size
Quantum algorithm for solving systems of linear equations
The Harrow–Hassidim–Lloyd (HHL) algorithm is a quantum algorithm for obtaining certain limited information about the solution to a system of linear equations
HHL_algorithm
Cohort born from 1981 to 1996
Alternative names for this group include the Net Generation, Generation 9/11, Generation Next, Generation Me, and The Burnout Generation. In 2018, Emily St.
Millennials
Algorithm to search the nodes of a graph
Depth-first search (DFS) is an algorithm for traversing or searching tree or graph data structures. The algorithm starts at the root node (selecting some
Depth-first_search
Early unclassified symmetric-key block cipher
The Data Encryption Standard (DES /ˌdiːˌiːˈɛs, dɛz/) is a symmetric-key algorithm for the encryption of digital data. Although its short key length of 56
Data_Encryption_Standard
An algorithm is a fundamental set of rules or defined procedures that are typically designed and used to be a simpler way to solve a specific problem
List_of_algorithms
to quickly read and understand it. Computational complexity: The generation algorithm should be fast No false inferences: The expression should not confuse
Referring expression generation
Referring_expression_generation
Information used for message authentication and integrity checking
consists of three algorithms: A key generation algorithm selects a key from the key space uniformly at random. A MAC generation algorithm efficiently returns
Message_authentication_code
Controversial pseudorandom number generator
Dual_EC_DRBG (Dual Elliptic Curve Deterministic Random Bit Generator) is an algorithm that was presented as a cryptographically secure pseudorandom number generator
Dual_EC_DRBG
performed with the aid of the p-group generation algorithm by M. F. Newman and E. A. O'Brien. For the initialization of the algorithm, two basic invariants must
Artin_transfer_(group_theory)
Method to solve optimization problems
structure, it may be possible to apply delayed column generation. Such integer-programming algorithms are discussed by Padberg and in Beasley. A linear program
Linear_programming
On finding a repeating loop in a sequence
In computer science, cycle detection or cycle finding is the algorithmic problem of finding a cycle in a sequence of iterated function values. For any
Cycle_detection
Technological phenomenon with social implications
Algorithmic bias describes systematic and repeatable harmful tendency in a computerized sociotechnical system to create "unfair" outcomes, such as "privileging"
Algorithmic_bias
Digital signature scheme
generator g < p {\displaystyle g<p} of the multiplicative group of integers modulo p, Z p ∗ {\displaystyle Z_{p}^{*}} . The algorithm parameters are ( p , g )
ElGamal_signature_scheme
Algorithm for indexing of words by their pronunciation
A phonetic algorithm is an algorithm for indexing of words by their pronunciation. If the algorithm is based on orthography, it depends crucially on the
Phonetic_algorithm
Sequence generation sampling technique
September 2020). "A Systematic Characterization of Sampling Algorithms for Open-ended Language Generation". arXiv:2009.07243 [cs.CL]. Chang, Haw-Shiuan; Peng
Top-p_sampling
Class of video frames processed in a distinct way by a compression algorithm
types. The three major picture types used in the different video algorithms are I, P and B. They are different in the following characteristics: I‑frames
Video compression picture types
Video_compression_picture_types
Asymmetric key encryption algorithm
of three algorithms: a probabilistic key generation algorithm which produces a public and a private key, a probabilistic encryption algorithm, and a deterministic
Goldwasser–Micali cryptosystem
Goldwasser–Micali_cryptosystem
Mathematical version of an order change
Object Server. Retrieved May 29, 2019. Zaks, S. (1984). "A new algorithm for generation of permutations". BIT Numerical Mathematics. 24 (2): 196–204. doi:10
Permutation
Classification of sophisticated jet fighter aircraft entering service since 2005
Fifth Generation Fighters: Stealth, Covert Radar, Supercruise, Agility. Morton's Media Group Limited. ISBN 978-1911276586.[page needed] Dr Richard P. Hallion
Fifth-generation_fighter
Method for numerical integration
The nested sampling algorithm is a computational approach to the Bayesian statistics problems of comparing models and generating samples from posterior
Nested_sampling_algorithm
When an idea extends to a principal ideal in an extension of algebraic number fields
metabelian p-groups and subsequently using a uniqueness theorem on group extensions by O. Schreier. Nowadays, we use the p-group generation algorithm of M.
Principalization_(algebra)
Type of standardized secure cryptoprocessors
2.0. The group continues work on the standard incorporating errata, algorithmic additions and new commands, with its most recent edition published as
Trusted_Platform_Module
Algorithm for encrypting and decrypting information
In cryptography, a cipher (or cypher) is an algorithm for performing encryption or decryption—a series of well-defined steps that can be followed as a
Cipher
Type of functions designed for being unsolvable by root-finding algorithms
polynomial time algorithm A, which outputs 1 or 0 as a distinguisher, | Pr x ← { 0 , 1 } k [ A ( G ( x ) ) = 1 ] − Pr r ← { 0 , 1 } p ( k ) [ A ( r )
Cryptographically secure pseudorandom number generator
Cryptographically_secure_pseudorandom_number_generator
Check digit algorithm
In error detection, the Damm algorithm is a check digit algorithm that detects all single-digit errors and all adjacent transposition errors. It was presented
Damm_algorithm
Algorithm for computing trigonometric, hyperbolic, logarithmic and exponential functions
short for coordinate rotation digital computer, is a simple and efficient algorithm to calculate trigonometric functions, hyperbolic functions, square roots
CORDIC
Chronological table of metaheuristic algorithms
metaheuristic algorithms that only contains fundamental computational intelligence algorithms. Hybrid algorithms and multi-objective algorithms are not listed
Table_of_metaheuristics
Algorithm in computer science
evolutionary algorithms, the operators are applied in a loop. An iteration of the loop is called a generation. The sequence of generations is continued
Evolution_strategy
Stream cipher
key-scheduling algorithm (KSA). Once this has been completed, the stream of bits is generated using the pseudo-random generation algorithm (PRGA). The key-scheduling
RC4
Group method of data handling (GMDH) is a family of inductive algorithms for computer-based mathematical modeling of multi-parametric datasets that features
Group_method_of_data_handling
Best results achieved to date
Signature Algorithm, and the elliptic curve cryptography analogues of these. Common choices for G {\displaystyle G} used in these algorithms include the
Discrete_logarithm_records
Block cipher
general-purpose algorithm, intended as an alternative to the aging DES and free of the problems and constraints associated with other algorithms. At the time
Blowfish_(cipher)
Early British cryptanalysis computer
message tape or not. The K2 switch panel had a group of switches on the left-hand side to specify the algorithm. The switches on the right-hand side selected
Colossus_computer
Type of gradient noise in computer graphics
Mathematical Applications Group (MAGI). In 1997, Perlin was awarded an Academy Award for Technical Achievement for creating the algorithm, the citation for which
Perlin_noise
Biased assessment of an algorithm
Algorithm aversion is defined as a "biased assessment of an algorithm which manifests in negative behaviors, and attitudes towards the algorithm compared
Algorithm_aversion
Monte Carlo method for density of states
The Wang and Landau algorithm, proposed by Fugao Wang and David P. Landau, is a Monte Carlo method designed to estimate the density of states of a system
Wang_and_Landau_algorithm
Subset of artificial intelligence
intelligence concerned with the development and study of statistical algorithms that can learn from data and generalize to unseen data, and thus perform
Machine_learning
Class of attack on cryptographic systems
generator Key generation One-time pad Salt Nonce Michael Jenkins; Lydia Zieglar (September 28, 2018). "Commercial National Security Algorithm (CNSA) Suite
Random number generator attack
Random_number_generator_attack
Method of executing orders
Algorithmic trading is a method of executing orders using automated pre-programmed trading instructions accounting for variables such as time, price,
Algorithmic_trading
Methods to test or prove primality
Goldwasser and Joe Kilian in 1986 and turned into an algorithm by A. O. L. Atkin in the same year. The algorithm was altered and improved by several collaborators
Elliptic_curve_primality
Computer communications authentication algorithm
or SHA-3, may be used in the calculation of an HMAC; the resulting MAC algorithm is termed HMAC-x, where x is the hash function used (e.g. HMAC-SHA256
HMAC
Compact encoding of digital data
and satellite television. Genetics compression algorithms are the latest generation of lossless algorithms that compress data (typically sequences of nucleotides)
Data_compression
Message-digest hashing algorithm
Wikifunctions has a function related to this topic. The MD5 message-digest algorithm is a widely used hash function producing a 128-bit hash value. MD5 was
MD5
Process of converting plaintext to ciphertext
encryption scheme usually uses a pseudo-random encryption key generated by an algorithm. It is possible to decrypt the message without possessing the key but
Encryption
Process by which platform algorithms increase the reach of certain content
Algorithmic amplification is the process by which automated ranking and recommendation systems on digital platforms increase the visibility of certain
Algorithmic_amplification
Techniques to improve network performance
Transmission Control Protocol (TCP) uses one of several congestion control algorithms that include various aspects of an additive increase/multiplicative decrease
TCP_congestion_control
Digital signature scheme
Schnorr signature is a digital signature produced by the Schnorr signature algorithm that was invented by Claus Schnorr. It is known for its simplicity, among
Schnorr_signature
Classical quantization technique from signal processing
for image generation, StyleGAN for face synthesis, and U-GAT-IT for unsupervised image-to-image translation. Subtopics Linde–Buzo–Gray algorithm (LBG) Learning
Vector_quantization
Usage of artificial intelligence to generate music
human cognitive processes. A prominent feature is the capability of an AI algorithm to learn from historical data, such as in computer accompaniment technology
Artificial intelligence in music
Artificial_intelligence_in_music
Measure of cryptographic strength
algorithm of equivalent or higher security level. The security level is given for the cost of breaking one target, not the amortized cost for group of
Security_level
Type of cipher
In cryptography, a block cipher is a deterministic algorithm that operates on fixed-length groups of bits, called blocks. Block ciphers are the elementary
Block_cipher
Machine learning technique
reward function to improve an agent's policy through an optimization algorithm like proximal policy optimization. RLHF has applications in various domains
Reinforcement learning from human feedback
Reinforcement_learning_from_human_feedback
Lion algorithm (LA) is one among the bio-inspired (or) nature-inspired optimization algorithms (or) that are mainly based on meta-heuristic principles
Lion_algorithm
Term applied to cryptographic systems that are highly resistant to cryptanalysis
cryptographically strong are general terms used to designate the cryptographic algorithms that, when used correctly, provide a very high (usually insurmountable)
Strong_cryptography
Secure network protocol suite
Modular Exponential (MODP) Diffie-Hellman groups for Internet Key Exchange (IKE) RFC 3602: The AES-CBC Cipher Algorithm and Its Use with IPsec RFC 3686: Using
IPsec
The following timeline of algorithms outlines the development of algorithms (mainly "mathematical recipes") since their inception. Before – writing about
Timeline_of_algorithms
Alternative form of government or social ordering
also referred to as algorithmic regulation, regulation by algorithms, algorithmic governance, algocratic governance, algorithmic legal order, or algocracy
Government_by_algorithm
Error-detecting code for detecting data changes
redundancy (it expands the message without adding information) and the algorithm is based on cyclic codes. CRCs are popular because they are simple to
Cyclic_redundancy_check
Probabilistic primality test
or Rabin–Miller primality test is a probabilistic primality test: an algorithm which determines whether a given number is likely to be prime, similar
Miller–Rabin_primality_test
Password that can only be used once
cellphone) as well as something a person knows (such as a PIN). OTP generation algorithms typically make use of pseudorandomness or randomness to generate
One-time_password
Practice and study of secure communication techniques
Springer. p. 123. ISBN 978-3-642-04101-3. OCLC 567365751. "Announcing Request for Candidate Algorithm Nominations for a New Cryptographic Hash Algorithm (SHA–3)
Cryptography
Model for generating observable data in probability and statistics
A generative algorithm models how the data was generated in order to categorize a signal. It asks the question: based on my generation assumptions, which
Generative_model
Public-key cryptosystem
key generation algorithm is run to generate ( p k , s k ) := Gen ( ) {\displaystyle ({\mathit {pk}},{\mathit {sk}}):=\operatorname {Gen} ()} . p k {\displaystyle
Key_encapsulation_mechanism
Digital audio format
MPEG Audio group for several years. In December 1988, MPEG called for an audio coding standard. In June 1989, 14 audio coding algorithms were submitted
MP3
Free and open-source flashcard program
The name comes from the Japanese word for "memorization" (暗記). The SM-2 algorithm, created for SuperMemo in the late 1980s, has historically formed the
Anki
efficiency A property of an algorithm which relates to the number of computational resources used by the algorithm. An algorithm must be analyzed to determine
Glossary_of_computer_science
Concurrency control method for collaborative software
diverge (inconsistent). The first OT algorithm was proposed in Ellis and Gibbs's paper to achieve convergence in a group text editor; the state-vector (or
Operational_transformation
Cryptographic system with public and private keys
public key and a corresponding private key. Key pairs are generated with algorithms based on mathematical problems termed one-way functions. Security of public-key
Public-key_cryptography
Method for discovering interesting relations between variables in databases
a time (a step known as candidate generation), and groups of candidates are tested against the data. The algorithm terminates when no further successful
Association_rule_learning
Cipher design construction
(SPN), is a series of linked mathematical operations used in block cipher algorithms such as AES (Rijndael), 3-Way, Kalyna, Kuznyechik, PRESENT, SAFER, SHARK
Substitution–permutation network
Substitution–permutation_network
A genetic operator is an operator used in evolutionary algorithms (EA) to guide the algorithm towards a solution to a given problem. There are three main
Genetic_operator
Authenticated encryption mode
to the class of authenticated encryption with associated data (AEAD) algorithms. In practice, GCM gives a recipient two guarantees at once: the message
Galois/Counter_Mode
Italian engineering professor (born 1956)
professor of applied mechanics at the Università di Pisa. He created an algorithm, Guiggiani's method, for the evaluation of strongly singular and hypersingular
Massimo_Guiggiani
One-way cryptographic tool
mechanism that is added to a cryptographic algorithm (e.g., a key pair generation algorithm, digital signing algorithm, etc.) or operating system, for example
Trapdoor_function
Computer hardware technology that uses quantum mechanics
post-quantum cryptography has led to new algorithms for quantum key distribution, initial work on quantum random number generation and to some early technology demonstrations
Quantum_computing
Block cipher
and a whole fish. The BassOmatic algorithm does to data what the original BassOmatic did to the fish." The algorithm operates on blocks of 256 bytes (or
BassOmatic
Technique in cryptography
e\left(aP,bQ\right)=e\left(P,Q\right)^{ab}} Non-degeneracy e ≠ 1 {\displaystyle e\neq 1} Computability There exists an efficient algorithm to compute e {\displaystyle
Pairing-based_cryptography
Branch of computer science
of algorithms that can be stated in terms of geometry. Some purely geometrical problems arise out of the study of computational geometric algorithms, and
Computational_geometry
American generation born from 1997 to 2012
generative artificial intelligence (AI) algorithms, notably ChatGPT. Consequently, the two sub-groups of Generation Z not only have different worldviews
Generation Z in the United States
Generation_Z_in_the_United_States
enciphering algorithms, the asymmetric key algorithms. Prior to that time, all useful modern encryption algorithms had been symmetric key algorithms, in which
History_of_cryptography
Aspect of US National Security Agency
first generation systems. Third generation systems (1980s) were transistorized and based on integrated circuits and likely used stronger algorithms. They
NSA_encryption_systems
P GROUP-GENERATION-ALGORITHM
P GROUP-GENERATION-ALGORITHM
Boy/Male
Biblical
Nativity, generation.
Boy/Male
Tamil
Young generation
Boy/Male
Muslim
Old generation
Boy/Male
Gujarati, Hindu, Indian, Kannada
Era; Generation
Boy/Male
Biblical
Nativity, generation.
Girl/Female
Biblical
Generation, habitation.
Boy/Male
Indian
Young Generation
Girl/Female
Biblical
Birth, generation.
Surname or Lastname
Scottish
Scottish : habitational name from a place in the parish of Gamrie, near Banff. The place is situated on a headland affording some sheltered anchorage, and is said to get its name from Middle English true hope; however, when first recorded in 1296 it already appears as Trup, so it is more likely to be of the same origin as Thorpe.English : variant of Throop.
Boy/Male
Tamil
Forthcoming generation
Boy/Male
Biblical, British, English
Nativity; Generation
Girl/Female
Biblical
Nativity, generation.
Girl/Female
Biblical
A generation.
Boy/Male
Hindu, Indian
Young Generation
Surname or Lastname
English
English : metonymic occupational name for a dealer in coarse meal, Old English grūt, Old Norse grautr ‘porridge’.
Girl/Female
Indian
Generation
Male
Hungarian
Hungarian form of English Philip, FÜLÖP means "lover of horses."
Boy/Male
Bengali, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Punjabi
Generation; Coming Generation of Father; Family
Girl/Female
Indian, Tamil
Generation
Boy/Male
Japanese Welsh
Large; generation.
P GROUP-GENERATION-ALGORITHM
P GROUP-GENERATION-ALGORITHM
Boy/Male
Indian
Lord Muruga
Boy/Male
Tamil
Virbhadra | வீரபதà¯à®°
The ashwamedha horse
Boy/Male
Tamil
Remove the night and spread the light
Girl/Female
Tamil
Mriganayani | மரகநயநீ
Doe eyed
Boy/Male
British, English
From the Bull's Pasture
Boy/Male
Hindu
Lord Krishna
Girl/Female
Biblical
Supplying, supplied.
Girl/Female
American, Assamese, Bengali, Buddhist, Christian, Danish, Finnish, French, German, Greek, Gujarati, Hebrew, Hindu, Indian, Kannada, Malayalam, Marathi, Punjabi, Sanskrit, Sikh, Sindhi, Telugu
Earth; Goddess Saraswati; Crystal Clear Water
Boy/Male
Indian, Traditional
World
Boy/Male
Arabic, Hindu, Indian
Ultimate
P GROUP-GENERATION-ALGORITHM
P GROUP-GENERATION-ALGORITHM
P GROUP-GENERATION-ALGORITHM
P GROUP-GENERATION-ALGORITHM
P GROUP-GENERATION-ALGORITHM
n.
Alternate generation. See under Generation.
n.
Origination by some process, mathematical, chemical, or vital; production; formation; as, the generation of sounds, of gases, of curves, etc.
n.
The reproduction or renewal of tissues, cells, etc., which have been used up and destroyed by the ordinary processes of life; as, the continual regeneration of the epithelial cells of the body, or the regeneration of the contractile substance of muscle.
n.
That form of alternate generation in which two kinds of sexual generation, or a sexual and a parthenogenetic generation, alternate; -- in distinction from metagenesis, where sexual and asexual generations alternate.
n.
Generation by means of ova. See Generation.
imp. & p. p.
of Group
n.
The formation or production of any geometrical magnitude, as a line, a surface, a solid, by the motion, in accordance with a mathematical law, of a point or a magnitude; as, the generation of a line or curve by the motion of a point, of a surface by a line, a sphere by a semicircle, etc.
v. i.
Generation.
n.
Arrangement in a group or in groups; grouping.
n.
An assemblage of objects in a certain order or relation, or having some resemblance or common characteristic; as, groups of strata.
n.
The union of parts which have been severed, so that they become anatomically perfect; as, the regeneration of a nerve.
n.
Spontaneous generation.
n.
The principal sound or sounds by which others are produced; the fundamental note or root of the common chord; -- called also generating tone.
n.
The act of generating or begetting; procreation, as of animals.
a.
Pertaining to generation, or to the generative organs.
n.
Acuteness; insight; sharp discoverment; sagacity; as, a person of singular penetration.
v. t.
To fill up or finish with grout, as the joints between stones.
a.
Having the power of generating, propagating, originating, or producing.
n.
To form a group of; to arrange or combine in a group or in groups, often with reference to mutual relation and the best effect; to form an assemblage of.
n.
A cluster, crowd, or throng; an assemblage, either of persons or things, collected without any regular form or arrangement; as, a group of men or of trees; a group of isles.