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Data structure which is efficient to both store in memory and query
In computer science, a succinct data structure is a data structure which uses an amount of space that is "close" to the information-theoretic lower bound
Succinct_data_structure
Particular way of storing and organizing data in a computer
structures Persistent data structure Plain old data structure Queap Succinct data structure Tree (data structure) Cormen, Thomas H.; Leiserson, Charles E.; Rivest
Data_structure
Categorization among data structures
less restrictive definition is a succinct data structure, which allows greater overhead. An implicit data structure is one with constant O(1) space overhead
Implicit_data_structure
self-indexing feature. An important related notion is that of a succinct data structure, which uses space roughly equal to the information-theoretic minimum
Compressed_data_structure
hypergraphs for hashing-based data structures (PhD). pp. 27–30. Dietzfelbinger, Martin; Pagh, Rasmus (2008), "Succinct Data Structures for Retrieval and Approximate
Retrieval_Data_Structure
Succinct data structure
The wavelet tree is a succinct data structure to store strings in compressed space. It generalizes the r a n k q {\displaystyle \mathbf {rank} _{q}} and
Wavelet_Tree
Limited form of tree data structure
remove first element of data and put it in n.data n.left = DecodeSuccinct(structure, data) n.right = DecodeSuccinct(structure, data) return n else return
Binary_tree
Topics referred to by the same term
algorithmic game theory Succinct problems with respect to the P versus NP problem Succinct data structure, a data structure in computer science The Wikipedia
Succinct_(disambiguation)
Sequence of characters, data type
space (see fixed-length code), so length-prefixed strings are a succinct data structure, encoding a string of length n in log(n) + n space. In the latter
String_(computer_science)
Writing principle of using few words
others, succinctness of textbook and lecture content was linked to better understanding of the material. In computing, succinct data structures balance
Concision
Consumption of resources that is indirectly required to achieve a goal
cost, because of the overhead. For example, an implicit data structure or succinct data structure may provide low space overhead, but at the cost of slow
Overhead_(computing)
Data structure for approximate set membership
(PDF) on 2007-02-02 Dietzfelbinger, Martin; Pagh, Rasmus (2008), "Succinct data structures for retrieval and approximate membership", in Aceto, Luca; Damgård
Bloom_filter
Compressed data structure for pattern matching
in bioinformatics. The Succinct Data Structure Library (SDSL) is a library containing a variety of compressed data structures including compressed suffix
Compressed_suffix_array
Free and open-source graph database
The design of the underlying data structure, which is implemented in a Rust library, uses a succinct data structures and delta encoding approach drawing
TerminusDB
Array data structure that compactly stores bits
and the operations on them are also important for constructing succinct data structures, which use close to the minimum possible space. In this context
Bit_array
Database that stores information relating to past, present and future time
layer architecture based on delta encoding and succinct data structures. MarkLogic introduced bitemporal data support in version 8.0. Time stamps for Valid
Temporal_database
Average uncertainty in variable's states
bits, to get the formulas for conditional entropy, and so on. Another succinct axiomatic characterization of Shannon entropy was given by Aczél, Forte
Entropy_(information_theory)
In genetics and biochemistry, determining the structure of an unbranched biopolymer
symbolic linear depiction known as a sequence which succinctly summarizes much of the atomic-level structure of the sequenced molecule. DNA sequencing is the
Sequencing
Mathematics problem
Gál, Peter Bro Miltersen (2003), "The cell probe complexity of succinct data structures", Proceedings 30th International Colloquium on Automata, Languages
100_prisoners_problem
Canadian computer scientist
algorithms and data structures (including optimal binary search trees, priority queues, hashing, and space-efficient data structures). After earning
Ian Munro (computer scientist)
Ian_Munro_(computer_scientist)
Tree containing all suffixes of a given text
application of suffix trees in the BWT Theory and Practice of Succinct Data Structures, C++ implementation of a compressed suffix tree Ukkonen's Suffix
Suffix_tree
the operations which are to be performed on those values. ECL is to have succinct solutions to problems and sensible defaults. The "Hello World" program
ECL (data-centric programming language)
ECL_(data-centric_programming_language)
Square matrix used to represent a graph or network
|V |2 / 16 bytes to represent an undirected graph. Although slightly more succinct representations are possible, this method gets close to the information-theoretic
Adjacency_matrix
Auxiliary data structure to the suffix array in computer science
SDSL: Succinct Data Structure Library - Provides various LCP array implementations, Range Minimum Query (RMQ) support structures and many more succinct data
LCP_array
1957 book by Noam Chomsky
Chomsky introduced his idea of a transformational generative grammar, succinctly synthesizing and integrating the concepts of transformation (pioneered
Syntactic_Structures
Unsolved problem in computer science
of space taken to store such finite structures is actually polynomial in the number of elements in the structure, this precisely characterizes P. Similarly
P_versus_NP_problem
Programming language with English-like syntax
the succinct and mathematically inspired syntax of other languages. The COBOL code is split into four divisions (identification, environment, data, and
COBOL
Graphical representation of data
data. One of the most important uses of text in a graph is the title. A graph's title usually appears above the main graphic and provides a succinct description
Chart
High-level programming language
languages) can each be created with a succinct shortcut syntax. In fact, these literals form the basis of the JSON data format. JavaScript supports regular
JavaScript
Qualitative research methodology
"emerge" from the data. The researchers tag those ideas/concepts with codes that succinctly summarize the ideas/concepts. As more data are collected and
Grounded_theory
Organisational activity concerning information lifecycle
arrangement of ideas that succinctly brought together the management of data, information, and knowledge (see the figure) argued that: Data that is maintained
Information_management
(hereafter, AMQ filters) comprise a group of space-efficient probabilistic data structures that support approximate membership queries. An approximate membership
Approximate membership query filter
Approximate_membership_query_filter
Associative array for storing key–value pairs
hashing PhotoDNA Rabin–Karp string search algorithm Search data structure Stable hashing Succinct hash table Hash function There are approaches with a worst-case
Hash_table
in several books. Some of these, together with the formulation if it is succinct, are listed below. Alfred John Cole, Ronald Morrison (1982) An introduction
Abstraction principle (computer programming)
Abstraction_principle_(computer_programming)
Cryptographic primitive
Chiesa et al developed the zk-SNARK protocol, an acronym for zero-knowledge succinct non-interactive argument of knowledge. The first widespread application
Non-interactive zero-knowledge proof
Non-interactive_zero-knowledge_proof
Variety and variability of life forms
research for modern estimates of biodiversity. In 1768, Rev. Gilbert White succinctly observed of his Selborne, Hampshire "all nature is so full, that that
Biodiversity
Quality measure in cluster analysis
interpretation and validation of consistency within clusters of data. The technique provides a succinct graphical representation of how well each object has been
Silhouette_(clustering)
Minimizing problem in computer programming
algorithm). In this case a suitable preprocessing of the array into a data structure ensures faster query answering. A naive solution is to precompute all
Range_minimum_query
Computing problem
dynamic data; that is, data that may mutate between each query. In order to efficiently update array values, more sophisticated data structures like the
Range query (computer science)
Range_query_(computer_science)
Human-caused changes to climate on Earth
2021, SPM-7 Sources for data and graphic: Annual global mean surface temperature data from: "Global temperature / Get the data / Global mean temperature
Climate_change
Algorithm used in data compression
PMID 22556365. Ktistakis R, Fournier-Viger P, Puglisi SJ, Raman R (2019). "Succinct BWT-Based Sequence Prediction". Database and Expert Systems Applications
Burrows–Wheeler_transform
View of decision-making in organizations
situation. Contingent leaders are flexible in choosing and adapting to succinct strategies to suit change in situation at a particular period in time in
Contingency_theory
Sequence of operations for a task
the first chapter titled: Algorithms, Turing Machines, and Programs. His succinct informal definition: "...any sequence of instructions that can be obeyed
Algorithm
Open-source, primary boot the device's operating system kernel
ext4 F2FS FAT FDOS JFFS2 ReiserFS Squashfs UBIFS ZFS Device tree is a data structure for describing hardware layout. Using Device tree, a vendor might be
Das_U-Boot
overview in Inside AppleTalk, Second Edition can be helpful. The most succinct guide is the "AFP over TCP" chapter of Apple Filing Protocol Programming
Data_Stream_Interface
Graphic visual representation of information
Some modern infographics do not even contain data visualization, and instead are simply a colorful and succinct ways to present knowledge. Fifty-three percent
Infographic
Proving validity without revealing other data
maintaining the privacy of code or data. Several recently developed zkVMs, such as those developed by RISC Zero and Succinct Labs, support the RISC-V instruction
Zero-knowledge_proof
Data-flow programming paradigm
consists of a single detail (plus brackets). The structure of the above stream can be described succinctly using a BNF-like notation such as { ( [m] d* )
Flow-based_programming
Method of determining aromaticity in organic molecules
formulation was first worked out by physical chemist Erich Hückel in 1931. The succinct expression as the 4n + 2 rule has been attributed to W. v. E. Doering (1951)
Hückel's_rule
Path structure in mathematical trees
pp. 566–575, MR 1755515 Eppstein, David; Goodrich, Michael T. (2011), "Succinct greedy geometric routing using hyperbolic geometry", IEEE Transactions
Heavy-light_decomposition
Programming paradigm based on applying and composing functions
language, code can be data, so IPL can be regarded as having higher-order functions. However, it relies heavily on the mutating list structure and similar imperative
Functional_programming
Mathematical ratios used to quantify concentration of market shares in industries
to quantify market concentration in a given industry in a relevant and succinct manner, but do not capture all available information about the distribution
Concentration_ratio
Philosophical problem-solving principle
underlying structure better and may thus have better predictive performance. It is, however, often difficult to deduce which part of the data is noise (cf
Occam's_razor
Concept in geometry
holomorphic functions for quaternions. The most succinct definition uses the language of G-structures on a manifold. Specifically, a quaternionic n-manifold
Quaternionic_manifold
Observed inability to reproduce scientific studies
test, which is structured as follows: Gather data D {\displaystyle D} . Compute a test statistic t [ D ] {\displaystyle t[D]} for the data. Compare the
Replication_crisis
Probabilistic model
provides algorithms for discovering and analyzing structure in complex distributions to describe them succinctly and extract the unstructured information, allows
Graphical_model
Bottom line up front
about the patient's condition together with the appropriate plans that are succinct and straight-to-the-point is vital to ensure that patients experience the
BLUF_(communication)
Stack-based programming language
floor5(int v) { return (v < 6) ? 5 : (v - 1); } This function is written more succinctly as: : FLOOR5 ( n -- n' ) 1- 5 MAX ; This can be run as follows: 1 FLOOR5
Forth_(programming_language)
Technique for determining size distribution of particles
considered in addition to a translational diffusion coefficient. In its most succinct form, the equation appears as A B = 5 4 4 M p + 2 N M l M p + M l M p −
Dynamic_light_scattering
Pan-genome Graph Construction Methodology
embed variant information directly into the graph model, and succinct index structures like GCSA/GCSA2 exist, GFA's strength lies in providing a base
Pan-genome_graph_construction
Formalism to describe programming languages
and extensions of BNF, generally either for the sake of simplicity and succinctness, or to adapt it to a specific application. One common feature of many
Backus–Naur_form
Design pattern in functional programming to build generic types
halve With >>= available, chainable_division can be expressed much more succinctly with the help of anonymous functions (i.e. lambdas). Notice in the expression
Monad (functional programming)
Monad_(functional_programming)
Prose style used for news reporting
writing strives to be intelligible to the majority of readers, engaging, and succinct. Within these limits, news stories also aim to be comprehensive. However
News_style
Investigation of operational risks
an “underlying” fund has been made or that a divestment has occurred; • succinct written responsibilities and scope, as well as clear legal liability of
Operational due diligence (alternative investments)
Operational_due_diligence_(alternative_investments)
Programming which all objects are created by classes
implements (or realizes) an interface by providing structure and behavior. Structure consists of data and state, and behavior consists of code that specifies
Class_(programming)
Self-adjusting binary search tree
succinct splay tree. AVL tree B-tree Finger tree Geometry of binary search trees Iacono's working set structure Link/cut tree List of data structures
Splay_tree
Analytical technique based on determining mass to charge ratio of ions
conventional in practice, a compound acronym may arise to designate it succinctly. One example is MALDI-TOF, which refers to a combination of a matrix-assisted
Mass_spectrometry
1966 book by Noam Chomsky
grammar is not Cartesian in any interesting sense. The whole discussion was succinctly summarized in 1969: "Professor Chomsky may wish to cling to the term "Cartesian
Cartesian_Linguistics
Any technique to improve resolution of an imaging system beyond conventional limits
fully consistent with Maxwell's equations. Spatial frequency domain: A succinct expression of the diffraction limit is given in the spatial frequency domain
Super-resolution_imaging
Communication and graphic design
Prioritization Progressive disclosure Signage Statistics Storytelling Succinctness Technical communication Technical illustration Textbook Tone Transparency
Information_design
Model of algorithmic learning
where the objective of the learner is to output a succinct representation of received training data. This is closely related to probably approximately
Occam_learning
Philistine giant in the Bible
of the Philistine deities." The phrase is widely used in news media to succinctly characterize underdog situations in many contexts without religious overtones
Goliath
Security analysis methodology
preferences, and the dynamics of group behavior, behavioral finance offers succinct explanations of excess market volatility as well as the excess returns
Technical_analysis
1921 philosophical work by Ludwig Wittgenstein
Theologico-Politicus (1670). The Tractatus is written in an austere and succinct literary style, containing almost no arguments as such, but consists of
Tractatus Logico-Philosophicus
Tractatus_Logico-Philosophicus
Adages and sayings named after a person
laws provides links to articles on laws, principles, adages, and other succinct observations or predictions named after a person. In some cases the person
List_of_eponymous_laws
Business management discipline
used to manage a company's business processes is BPM. Processes can be structured and repeatable or unstructured and variable. Though not required, enabling
Business_process_management
Study of correct reasoning
expressive power is especially useful for mathematics since it allows for more succinct formulations of mathematical theories. But it has drawbacks in regard to
Logic
State of consciousness leading into sleep
abstract ideas into a concrete image, which may be perceived as an apt and succinct representation thereof. The hypnagogic state can provide insight into a
Hypnagogia
Australian computer scientist (born 1944)
August 2020. Retrieved 7 August 2021. Vaughan Pratt. Every prime has a succinct certificate. SIAM Journal on Computing, vol.4, pp.214–220. 1975. Citations
Vaughan_Pratt
Statistical method
i}&+&\ell _{10,2}F_{2,i}&+&\varepsilon _{10,i}\end{matrix}}} or, more succinctly: z a i = ∑ p ℓ a p F p i + ε a i {\displaystyle z_{ai}=\sum _{p}\ell
Factor_analysis
Algorithm for modelling sequential data
{\displaystyle {\text{FFN}}} stands for "feed-forward network". We can more succinctly write it as EncoderLayer ( H ) = FFN ( MultiheadAttention ( H , H , H
Transformer_(deep_learning)
Computer science discipline
input and returns a mathematical formula retrieved from Wikidata as a succinct answer, translated into a computable form that allows the user to insert
Question_answering
Class of animals
families of the animal kingdom, succinctly presented in analytical order] (in French). Huxley, T.H. (1863). "The structure and classification of the Mammalia"
Reptile
Punctuation mark
another piece of text or when the original text has been omitted for succinctness— for example, when referring to a verbose original: "To the extent that
Bracket
Binary tree derived from a sequence of numbers
range searching data structures. They have also been used in the definition of the treap and randomized binary search tree data structures for binary search
Cartesian_tree
Brief summary of a research article
information) than the abstract does. Academic literature uses the abstract to succinctly communicate complex research. An abstract may act as a stand-alone entity
Abstract_(summary)
1945 book by Aldous Huxley
and Europe. In the next paragraph, Huxley summarises the problem more succinctly, saying: "Knowledge is a function of being." In other words, if you are
The_Perennial_Philosophy
identifiers and name disambiguation. Academic and Professional Networking—most succinctly described as "social networking for academics," these services focus on
Comparison of research networking tools and research profiling systems
Comparison_of_research_networking_tools_and_research_profiling_systems
Human disease caused by West Nile virus infection
45–50 nm virion covered with a relatively smooth protein surface. This structure is similar to the dengue fever virus; both belong to the genus Flavivirus
West_Nile_fever
Data structure for Boolean functions
allow for tractable Boolean operations, while being exponentially more succinct. For this reason, they have become an important representation in knowledge
Sentential_decision_diagram
UK Parliament constituency (since 1983)
be as succinct as reasonably possible 2024–present: The 2023 periodic review of Westminster constituencies, which was based on the ward structure in place
Hyndburn_(constituency)
Logical problem studied in computer science
complex formulas involving real numbers, integers, and/or various data structures such as lists, arrays, bit vectors, and strings. The name is derived
Satisfiability modulo theories
Satisfiability_modulo_theories
All numbers between two given numbers
the inteval. An open interval does not include any endpoint and can be succinctly indicated with parentheses. For example, ( 0 , 1 ) = { x ∣ 0 < x < 1 }
Interval_(mathematics)
City in Lower Saxony, Germany
the name Salzgitter, having thus been freed up, became the new and more succinct name of the city that had been called "Watenstedt-Salzgitter" until then
Salzgitter
Hypothesis of language influencing thought
a conceptual hierarchy of computer languages, with more expressive and succinct languages at the top. Thus, the so-called blub paradox (after a hypothetical
Linguistic_relativity
Molecular ion
was provided by Wilson (1928) and Jaffé (1934). Johnson (1941) gives a succinct summary of their solution. The electronic Schrödinger wave equation for
Dihydrogen_cation
Main room of an ancient Roman house
full original description, in his sixth book on engineering, is fairly succinct: 1. There are five different styles of cavaedium, termed according to their
Cavaedium
Information security standards
specifies an information security management system in the same structured and succinct manner as other ISO management systems standards, facilitating
ISO/IEC_27000_family
Algebraic structure with addition, multiplication, and division
over addition: a ⋅ (b + c) = (a ⋅ b) + (a ⋅ c). An equivalent but more succinct definition is: a field is a set with two commutative operations, called
Field_(mathematics)
Civil war in Colombia from 1948 to 1958
for Global Economic Growth, Norman A. Bailey describes the atrocities succinctly: "Ingenious forms of quartering and beheading were invented and given
La_Violencia
SUCCINCT DATA-STRUCTURE
SUCCINCT DATA-STRUCTURE
Male
Iranian/Persian
 Short form of Persian Dârayavahush, DARA means "possesses a lot, wealthy." Compare with other forms of Dara.
Female
Hungarian
 Short form of Hungarian Katalin, KATA means "pure." Compare with other forms of Kata.
Male
English
English surname transferred to unisex forename use, possibly DANA means "from Denmark."
Female
Polish
 Variant spelling of Polish Dyta, DITA means "rich battle." Compare with another form of Dita.
Female
Hindi/Indian
(लता) Hindi name derived from a plant name, from the Sanskrit word lata, LATA means "creeper," in reference to a creeping plant.
Female
Polish
Short form of Polish Edyta, DYTA means "rich battle."
Male
Irish
 From Irish Gaelic Mac Dara, DARA means "son of oak." Compare with other forms of Dara.
Girl/Female
Hindu
A creeper
Female
English
 English surname transferred to unisex forename use, possibly DANA means "from Denmark." Compare with other forms of Dana.
Female
Russian
 Short form of Russian Yekaterina, KATA means "pure." Compare with other forms of Kata.
Female
English
 Middle English name DARA means "brave, daring." Compare with another form of Dara.
Male
Irish
Irish Gaelic name MAC DARA means "son of oak." This is the name of a patron saint and is still common in Ireland, especially in Connemara.
Female
Slavic
 Short form of Slavic Bogdana, DANA means "gift from God." Compare with other forms of Dana.
Male
Hebrew
(דֶּרַע) Hebrew name DARA means "the arm." In the bible, this is the name of a son of Zerah. Compare with other forms of Dara.
Female
Hebrew
(דִּיתָה) Pet form of Hebrew Yehuwdiyth, DITA means "Jewess" or "praised." Compare with another form of Dita.
Male
Turkish
Turkish name ATA means "ancestor."
Female
Hebrew
(×“Ö¼Ö¸× Ö¸×”) Feminine form of Hebrew Dan, DANA means "judge." Compare with other forms of Dana.
Male
Hebrew
Variant spelling of Hebrew Dathan, DATAN means "belonging to a fountain."
Female
Finnish
 Short form of Finnish Katariina, KATA means "pure." Compare with other forms of Kata.
Female
Finnish
Variant form of Finnish Aada, AATA means "noble."
SUCCINCT DATA-STRUCTURE
SUCCINCT DATA-STRUCTURE
Female
Greek
(ΠαÏθενιά) In Greek mythology an unnamed river nymph is said to have been the mother of a Trojan hero who fought against the Greeks. She is known only by the title Naias Parthenia, PARTHENIA means "Naias Nymphe of the River Parthenios (in Paphlagonia, Anatolia)." Parthenia and Parthenios were both derived from the Greek word parthenos, meaning "virgin."
Boy/Male
Indian, Punjabi, Sikh, Telugu
Earth
Girl/Female
Hindu, Indian, Marathi, Sanskrit
Mother of Gods
Female
French
 Short form of French Geneva, possibly NEVA means "race of women." Compare with other forms of Neva.
Girl/Female
Hindu
To be worshipped
Girl/Female
Indian
Beautiful
Boy/Male
Hindu, Indian, Marathi
A King
Boy/Male
Australian, Christian, Teutonic
Surname and Place Name; The House of Windsor has been the Ruling Family of the Uk Since 1917; From Windsor; Landing Place with a Windlass
Girl/Female
Indian
A Charming; Noble Human Having Unrevealed Talents
Boy/Male
Hindu
Charioteer of Partha Lord Krishna, Arjunas charioteer Krishna
SUCCINCT DATA-STRUCTURE
SUCCINCT DATA-STRUCTURE
SUCCINCT DATA-STRUCTURE
SUCCINCT DATA-STRUCTURE
SUCCINCT DATA-STRUCTURE
n.
Prior date; a date antecedent to another which is the actual date.
n.
A hypothetical radical characteristic of succinic acid and certain of its derivatives.
p. pr. & vb. n.
of Date
n.
A salt of succinic acid.
n.
The point of time at which a transaction or event takes place, or is appointed to take place; a given point of time; epoch; as, the date of a battle.
pl.
of Datum
a.
Succinic.
n.
That addition to a writing, inscription, coin, etc., which specifies the time (as day, month, and year) when the writing or inscription was given, or executed, or made; as, the date of a letter, of a will, of a deed, of a coin. etc.
imp. & p. p.
of Date
v. t.
To date erroneously.
a.
Compressed into a narrow compass; brief; concise.
a.
Girded or tucked up; bound; drawn tightly together.
v. t.
To note or fix the time of, as of an event; to give the date of; as, to date the building of the pyramids.
v. t.
To note the time of writing or executing; to express in an instrument the time of its execution; as, to date a letter, a bond, a deed, or a charter.
n. pl.
See Datum.
n.
Amber.
n.
The fruit of the date palm; also, the date palm itself.
n.
A garnet of an amber color.
a.
Concise; terse; succinct.
a.
Pertaining to, or derived from, amber; specif., designating a dibasic acid, C/H/.(CO/H)/, first obtained by the dry distillation of amber. It is found in a number of plants, as in lettuce and wormwood, and is also produced artificially as a white crystalline substance having a slightly acid taste.