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In computer science, a maximal pair within a string is a pair of matching substrings that are maximal, where "maximal" means that it is not possible to
Maximal_pair
Art movement
In the arts, maximalism is an aesthetic characterized by excess and abundance, serving as a reaction against minimalism. The philosophy can be summarized
Maximalism
Two nucleobases bound by hydrogen bonds
role in the specificity underlying complementarity is, by contrast, of maximal importance as this underlies the template-dependent processes of the central
Base_pair
Upper bound on intersecting set families
sets. An intersecting family of r {\displaystyle r} -element sets may be maximal, in that no further set can be added (even by extending the ground set)
Erdős–Ko–Rado_theorem
Adjacent characters (tokens) merge-based compression algorithm
In computing, byte-pair encoding (BPE), or digram coding, is an algorithm, first described in 1994 by Philip Gage, for encoding strings of text into smaller
Byte-pair_encoding
Independent set which is not a subset of any other independent set
In graph theory, a maximal independent set (MIS) or maximal stable set is an independent set that is not a subset of any other independent set. In other
Maximal_independent_set
Longest-match principle in parsing
In computer programming and computer science, "maximal munch" or "longest match" is the principle that when creating some construct, as much of the available
Maximal_munch
Mathematical proposition equivalent to the axiom of choice
(that is, every totally ordered subset) necessarily contains at least one maximal element. The lemma was proven (assuming the axiom of choice) by Kazimierz
Zorn's_lemma
Statistical measure of association between variables
In statistics, the maximal information coefficient (MIC) is a measure of the strength of the linear or non-linear association between two variables X
Maximal information coefficient
Maximal_information_coefficient
Task of computing complete subgraphs
vertices), finding a maximum weight clique in a weighted graph, listing all maximal cliques (cliques that cannot be enlarged), and solving the decision problem
Clique_problem
Lossless, but memory-consuming, data compression algorithm
Nakashima, Y., Inenaga, S., Bannai, H., & Kida, T. (2018). MR-RePair: Grammar Compression based on Maximal Repeats. arXiv preprint arXiv:1811.04596.
Re-Pair
Type of signal processing filter
that is as flat as possible in the passband. It is also referred to as a maximally flat magnitude filter. It was first described in 1930 by the British engineer
Butterworth_filter
Probabilistic Condorcet method
Maximal lotteries are a probabilistic voting rule that use ranked ballots and returns a lottery over candidates that a majority of voters will prefer
Maximal_lotteries
Extreme element of a preorder
In mathematics, especially in order theory, a maximal element of a subset S {\displaystyle S} of some preordered set is an element of S {\displaystyle
Maximal_and_minimal_elements
Set of edges without common vertices
unsaturated). A maximal matching is a matching M of a graph G that is not a subset of any other matching. A matching M of a graph G is maximal if every edge
Matching_(graph_theory)
Nonempty, upper-bounded, downward-closed subset
ideal M is maximal with respect to disjointness from the filter F. Suppose for a contradiction that M is not prime, i.e. there exists a pair of elements
Ideal_(order_theory)
combiner Maximal who is made up of three Maximals. He has appeared in the IDW Publishing comics and the Beast Wars: Uprising comics. Ironhide is a Maximal whose
List_of_Beast_Wars_characters
Finite simple group; sometimes classed as sporadic
group 2F4(2). The Tits group occurs as a maximal subgroup of the Fischer group Fi22. The group 2F4(2) also occurs as a maximal subgroup of the Rudvalis group,
Tits_group
Shape containing unit line segments in all directions
in, and proved this by proving bounds on a circular maximal function analogous to the Kakeya maximal function. It was conjectured that there existed sets
Kakeya_set
reductive Lie groups G. The Hecke algebra of a pair (g, K) of a Lie algebra g with Lie group G and maximal compact subgroup K is the algebra of K-finite
Hecke_algebra_of_a_pair
Polygon in which all angles are right
adjacent pair in s does not intersect the boundary of P, then this pair be pushed further towards the boundary, so s is not maximal. If s is not maximal in
Rectilinear_polygon
Sporadic simple group
classes of maximal subgroups. The 9 classes of maximal subgroups are as follows: The subgroup fixing a point is M23, order 10200960. A duad is a pair of points
Mathieu_group_M24
Concept in music theory
≤ c − 1 is fixed and the bracket pair is the floor function. Jack Douthett and Richard Krantz introduced maximally even sets to the mathematics literature
Maximal_evenness
Computational problem in graph theory
it representing its capacity. Assuming a steady state condition, find a maximal flow from one given city to the other. In their book Flows in Networks
Maximum_flow_problem
Quantum states of two qubits
known as the no-communication theorem. The Bell states are four specific maximally entangled quantum states of two qubits. They are in a superposition of
Bell_state
Tree containing all suffixes of a given text
n i + n j ) {\displaystyle \Theta (n_{i}+n_{j})} time. Find all maximal pairs, maximal repeats or supermaximal repeats in Θ ( n + z ) {\displaystyle \Theta
Suffix_tree
Natural number
its largest prime factor. M 11 {\displaystyle \mathrm {M} _{11}} is the maximal subgroup Mathieu group M 12 {\displaystyle \mathrm {M} _{12}} , where 11
11_(number)
Topological space that locally resembles Euclidean space
atlas is called the maximal atlas (i.e. an equivalence class containing that given atlas). Unlike an ordinary atlas, the maximal atlas of a given manifold
Manifold
Graph with at most one cycle per component
vertex). The maximal pseudoforests of G are the pseudoforest subgraphs of G that are not contained within any larger pseudoforest of G. A maximal pseudoforest
Pseudoforest
closed connected subgroups of a compact Lie group that have maximal rank, i.e. contain a maximal torus. It is named after the Swiss mathematicians Armand
Borel–de_Siebenthal_theory
Subgroup of a root system's isometry group
algebra, of maximal torus for a Lie group. Let K {\displaystyle K} be a connected compact Lie group and let T {\displaystyle T} be a maximal torus in K
Weyl_group
Speed of the heartbeat, measured in beats per minute
finding negligible effect. The inclusion of physical activity status, maximal oxygen uptake, smoking, body mass index, body weight, or resting heart
Heart_rate
Phonology of the English language
the maximal onset principle in a way that divides words in a counter-intuitive way; thus the word hardware would be divided /ˈhɑː.dweə/ by the maximal onset
English_phonology
Algorithm for listing maximal cliques
for finding all maximal cliques in an undirected graph. That is, it lists all subsets of vertices with the two properties that each pair of vertices in
Bron–Kerbosch_algorithm
Mathematical result on order relations
maximal set with certain properties. A binary relation R {\displaystyle R} on a set X {\displaystyle X} is formally defined as a set of ordered pairs
Szpilrajn_extension_theorem
Term in mathematics
and is maximally split, i.e. when we split h {\displaystyle {\mathfrak {h}}} into σ-eigenspaces, the − 1 {\displaystyle -1} -eigenspace has maximal dimension
Satake_diagram
Concept in group theory
has a (B, N) pair in which B = P(K), where P is a minimal parabolic subgroup of G, and N = N(K), where N is the normalizer of a split maximal torus contained
(B,_N)_pair
Adjacent subset of an undirected graph
property that any maximal clique intersects any maximal independent set in a single vertex. An interval graph is a graph whose maximal cliques can be ordered
Clique_(graph_theory)
Graph that can be embedded in the plane
chordal graphs respectively. Every maximal planar graph on more than 3 vertices is at least 3-connected. If a maximal planar graph has v vertices with v
Planar_graph
Set in graph theory
endpoints of any maximal matching form a paired dominating set, the paired domination number is bounded above by twice the size of any maximal matching of
Paired_dominating_set
Logic problem, AND of pairwise ORs
diameters, one may try all maximal pairs of target diameters that add up to at most the given sum, representing each pair of diameters as a 2-satisfiability
2-satisfiability
Three-holed sphere
homotopic and none is homotopic to a boundary component, and the collection is maximal for these properties. A given surface has infinitely many distinct pants
Pair_of_pants_(mathematics)
Mathematics concept
has maximal determinant among matrices with entries of absolute value less than or equal to 1 and so is an extremal solution of Hadamard's maximal determinant
Hadamard_matrix
Computational prediction of nucleic acid structure
algorithm, basically a merger of sequence alignment and Nussinov (maximal-pairing) folding dynamic programming method. The original Sankoff algorithm
Nucleic acid structure prediction
Nucleic_acid_structure_prediction
Physics phenomenon
entanglement can be paraphrased as saying that maximal knowledge about the whole of a system does not imply maximal knowledge about the individual parts of that
Quantum_entanglement
Mathematical set with an ordering
arrangement such that, for certain pairs of elements, one precedes the other. The word partial is used to indicate that not every pair of elements needs to be comparable;
Partially_ordered_set
Graph where all long cycles have a chord
every two maximal cliques have at most one vertex in common. A special type is windmill graphs, where the common vertex is the same for every pair of cliques
Chordal_graph
Type of subgroup of an algebraic group
Tits' theory of groups with a (B, N) pair. Here the group B is a Borel subgroup and N is the normalizer of a maximal torus contained in B. The notion was
Borel_subgroup
Mathematical object
of such Gelfand pairs, see. Classical examples of such Gelfand pairs are (G, K), where G is a reductive Lie group and K is a maximal compact subgroup
Gelfand_pair
Non-crossing graph with vertices on outer face
graphs, the subgraphs of series–parallel graphs, and the circle graphs. The maximal outerplanar graphs, those to which no more edges can be added while preserving
Outerplanar_graph
Concept in mathematics
All pairs of elements from R {\displaystyle R} are comparable and every element of R {\displaystyle R} is a greatest element (and thus also a maximal element)
Greatest element and least element
Greatest_element_and_least_element
compositions of 15 where the maximal part appears once 1483 = 392 - 39 + 1 = H39 (the 39th Hogben number) 1484 = maximal number of regions the plane is
1000_(number)
Order whose elements are all comparable
length zero, and an ordered pair is a chain of length one. The dimension of a space is often defined or characterized as the maximal length of chains of subspaces
Total_order
Natural number between 89 and 91
members of lower order prime k-tuples, 90 is also a record maximal gap between various smaller pairs of prime k-tuples (which include quintuplets, quadruplets
90_(number)
Process of "purifying" entangled quantum states
transforming previously shared, less-entangled pairs into a smaller number of maximally-entangled pairs. The limits for entanglement dilution and distillation
Entanglement_distillation
Algorithm for maximum cardinality matching
augmenting paths left and the matching is maximal. If BFS returns true, then we can go ahead and update the pairing for vertices on the minimal-length paths
Hopcroft–Karp_algorithm
Animated series and toy line
standard 4:3 aspect ratio. The series centers on the conflict between the Maximal and Predacon factions over the control of mysterious Angolmois Capsules
Super Life-Form Transformers: Beast Wars Neo
Super_Life-Form_Transformers:_Beast_Wars_Neo
Electron-positron production from two photons
Breit–Wheeler process or Breit–Wheeler pair production is a proposed physical process in which a positron–electron pair is created from the collision of two
Breit–Wheeler_process
Concept in order theory
axioms. The join/meet of a subset of a totally ordered set is simply the maximal/minimal element of that subset, if such an element exists. If a subset
Join_and_meet
Basic concept of graph theory
to v and a directed path from v to u for every pair of vertices u, v. A connected component is a maximal connected subgraph of an undirected graph. Each
Connectivity_(graph_theory)
Musical work by Tiësto and Allure
collaborate with Tiësto after "Maximal Crazy" and "Hell Yeah!". Two years later, Tiësto release a vocal version of "Pair of Dice" called "Set Yourself
Pair_of_Dice
Mathematical structure
by conjugates under N of maximal parabolics containing B. The same building can often be described by different (B, N) pairs. Moreover, not every building
Building_(mathematics)
Algebraic structure
unique maximal subgroup containing e. Each maximal subgroup arises in this way, so there is a one-to-one correspondence between idempotents and maximal subgroups
Semigroup
Unrelated vertices in graphs
called "internally stable sets", of which "stable set" is a shortening. A maximal independent set is an independent set that is not a proper subset of any
Independent set (graph theory)
Independent_set_(graph_theory)
vertices from circles, and 8 red vertices from points. The configuration has maximal symmetry in 3-dimension, and can be seen as 6 circles circumscribe the
Miquel_configuration
Single-winner electoral system
Ranked Pairs (RP), also known as the Tideman method, is a ranked voting method that determines a single winner from ballots that rank candidates in order
Ranked_pairs
Graph in which every two vertices are adjacent
graph of degree n − 1. All complete graphs are their own maximal cliques. They are maximally connected as the only vertex cut which disconnects the graph
Complete_graph
Lossless data compression algorithms
found first and allow the search to terminate, absolutely if the current maximal matching sequence length is met, or judiciously, if a sufficient length
LZ77_and_LZ78
On sets of points with integer distances
coincide, because they have different pairs of foci. Thus, X {\displaystyle X} must be a point where they intersect. Each pair of a blue and red hyperbola have
Erdős–Anning_theorem
Coordinate system for the Schwarzschild geometry
have the advantage that they cover the entire spacetime manifold of the maximally extended Schwarzschild solution and are well-behaved everywhere outside
Kruskal–Szekeres_coordinates
Type of topological space
1-skeleton can be fairly complicated, being an arbitrary graph. Now consider a maximal forest F in this graph. Since it is a collection of trees, and trees are
CW_complex
Axiom of set theory
subcollection is precisely one that is maximal with respect to set inclusion.) For any set X {\displaystyle X} , there exists a maximal (under set inclusion) collection
Axiom_of_choice
Plurality voting system
methods Condorcet-IRV Round-robin voting Minimax Kemeny Schulze Ranked pairs Maximal lottery Positional voting Plurality (el. IRV) Borda count (el. Baldwin
First-past-the-post_voting
General relativity in M-theory
decoupled theories with a single graviton in each.[citation needed] In maximal supergravity theories (see below), all fields are related by supersymmetry
Higher-dimensional supergravity
Higher-dimensional_supergravity
Graph with almost the max amount of edges
a graph in which the number of edges is close to the maximal number of edges (where every pair of vertices is connected by one edge). The opposite, a
Dense_graph
Nilpotent subalgebra of a Lie algebra
{\displaystyle \mathbb {C} } ), a Cartan subalgebra is the same thing as a maximal abelian subalgebra consisting of elements x such that the adjoint endomorphism
Cartan_subalgebra
Random matrix with gaussian entries
H} , and the corresponding gaussian ensemble can then be motivated as a maximal entropy distribution, as described previously. If T 2 = + 1 {\displaystyle
Gaussian_ensemble
Graph drawing used to study Riemann surfaces
orbit, another invariant of the dessin. The stabilizer of the orbit is the maximal normal subgroup of Γ {\displaystyle \Gamma } contained in the stabilizer
Dessin_d'enfant
graph G is a maximal subgraph which is either an isolated vertex, a bridge edge, or a 2-connected subgraph. If a block is 2-connected, every pair of vertices
Glossary_of_graph_theory
first criterion is an adaptation of the rank-maximal matching criterion to stable matchings. A rank-maximal stable matching is a matching that maximizes
Optimal_stable_matching
6th-century Roman senator and philosopher (480–524 AD)
operate under maximal propositions to "be of use in finding maximal propositions as well as intermediate terms," or the premises that follow maximal propositions
Boethius
Tree which includes all vertices of a graph
e., a maximal forest), while Bondy & Murty (2008) instead call this kind of forest a "maximal spanning forest" (which is redundant, as a maximal forest
Spanning_tree
2025 historical drama film by Chloé Zhao
Kyle Smith called it a "quintessential Oscar bait (highbrow foundation; maximal crying and emoting) but is dogged by intellectual anachronism." Hamnet
Hamnet_(film)
Partially ordered set equipped with a rank function
that all maximal chains in P have the same (finite) length. This suffices, since any pair of maximal chains in [Ô, x] can be extended by a maximal chain
Graded_poset
Region outside of a rotating black hole's event horizon
produce a more pumpkin-shaped ergosphere.[citation needed] The equatorial (maximal) radius of an ergosphere is the Schwarzschild radius, the radius of a non-rotating
Ergosphere
Coding technique in communication technology
consecutive "10" bit pairs. The first eight rows describe a standard (1,7) RLL code. The additional six exceptions increase the maximal run of zeros to 13
Run-length_limited
Submodule of a mathematical ring
particular, there exists a left ideal that is maximal among proper left ideals (often simply called a maximal left ideal); see Krull's theorem for more.
Ideal_(ring_theory)
Natural number
the size of the largest set of equiangular lines in 23 dimensions. The maximal set of such lines, derived from the Leech lattice, provides the highest
276_(number)
Graph representing structure of another graph's cliques
of vertices of G with the property that every pair of distinct vertices in X are adjacent in G. A maximal clique of a graph G is a clique X of vertices
Clique_graph
Sporadic simple group
vertex algebra. There are 11 conjugacy classes of maximal subgroups of M12, 6 occurring in automorphic pairs, as follows: The cycle shape of an element and
Mathieu_group_M12
if for any pair of prime ideals p, q, any two strictly increasing chains p = p0 ⊂ p1 ⊂ ... ⊂ pn = q of prime ideals are contained in maximal strictly increasing
Catenary_ring
Mathematical logic concept
function which enumerates any maximal recursively enumerable set dominates every general recursive function. There exists maximal recursively enumerable set
Computably_enumerable_set
Order-preserving mathematical function
(w_{1}-w_{2},u_{1}-u_{2})\geq 0.} G {\displaystyle G} is said to be maximal monotone if it is maximal among all monotone sets in the sense of set inclusion. The
Monotonic_function
Type of strength training
referred to as a pair or a contrast pair. The resistance based exercise will often be a near maximal effort—about 75–90% of the athlete's maximal lift. The plyometric
Complex_training
Generalization of the real numbers
von Neumann–Bernays–Gödel set theory) that the maximal class hyperreal field is isomorphic to the maximal class surreal field. Research on the Go endgame
Surreal_number
Number of elements in a subset of a commutative group
rank, or torsion-free rank of an abelian group A is the cardinality of a maximal linearly independent subset. The rank of A determines the size of the largest
Rank_of_an_abelian_group
Glossary of terms used in branch of mathematics
finite, this means that in every pair of successive elements the larger one covers the smaller one. See also maximal chain. Scattered. A total order is
Glossary_of_order_theory
Quantum mechanics idea
protocol to transfer quantum entanglement from one pair of particles to another, even if the second pair of particles have never interacted. This process
Entanglement_swapping
Rate of separation of infinitesimally close trajectories
dimensionality of the phase space. It is common to refer to the largest one as the maximal Lyapunov exponent (MLE), because it determines a notion of predictability
Lyapunov_exponent
Hypercomplex number system
However it is not a maximal order (in the sense of ring theory); there are exactly seven maximal orders containing it. These seven maximal orders are all equivalent
Octonion
MAXIMAL PAIR
MAXIMAL PAIR
Girl/Female
Indian
Soft
Boy/Male
American, Australian, Chinese, French, German, Greek, Latin, Swedish
Greatest
Boy/Male
Hindu
Devoted, A promise to God
Girl/Female
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit, Sindhi, Tamil, Telugu, Traditional
A String of Pearls
Girl/Female
Hindu
Full of jewel
Boy/Male
British, English
Ermine; Ferret-like Mammal; Animal Name
Boy/Male
Muslim
Liberal, Generous, Another name for God
Boy/Male
Hindu
Dignity, Power
Male
French
French form of Latin Maximus, MAXIME means "the greatest."Â
Boy/Male
Hindu, Indian, Marathi
The Garland of Lord Vishnu
Girl/Female
Muslim
Soft
Boy/Male
Hindu, Indian
Praise
Male
Russian
(МакÑим) Variant spelling of Russian Maksim, MAXIM means "the greatest." Compare with another form of Maxim.
Boy/Male
Celebrity, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Oriya, Punjabi, Sanskrit, Sikh, Tamil, Telugu, Traditional
King of the Earth; A King
Boy/Male
Sikh
A king
Girl/Female
Hindu
Greatness
Boy/Male
Bengali, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
Fragrance
Boy/Male
Gujarati, Hindu, Indian
Rich; Maladar
Boy/Male
Hindu, Indian, Punjabi, Sikh, Tamil
Great Speech
Boy/Male
Latin
Greatest.
MAXIMAL PAIR
MAXIMAL PAIR
Girl/Female
Hindu
Novel, Creation
Male
Finnish
Pet form of Finnish Paavo, PAAVI means "small."
Girl/Female
Tamil
Usha Lakshi | உஷாலாகà¯à®·à¯€
Morning, Dawn
Male
Iranian/Persian
(شاهزاده) Persian name SHAHZADE means "prince."
Boy/Male
Arabic, Muslim
One who Takes Short Steps; Name of a Narrator of Hadith
Boy/Male
Assamese, Hindu, Indian
Supreme
Girl/Female
Hindu
Eye
Boy/Male
Tamil
Patience
Girl/Female
Tamil
Goddess Parvati
Girl/Female
Muslim
Intelligent, Noble, Eminent
MAXIMAL PAIR
MAXIMAL PAIR
MAXIMAL PAIR
MAXIMAL PAIR
MAXIMAL PAIR
a.
Partaking of the nature both of vegetable and animal matter; -- a term sometimes applied to vegetable albumen and gluten, from their resemblance to similar animal products.
mexcal.
See Mescal.
a.
Belonging to the axis of the body; as, the axial skeleton; or to the axis of any appendage or organ; as, the axial bones.
pl.
of Maximum
n.
An animal that suckles its young; a mammal.
a.
Of or relating to animals; as, animal functions.
a.
Pertaining to the hidden wisdom supposed to be possessed by the Magi; relating to the occult powers of nature, and the producing of effects by their agency.
n.
The bone, or principal bone, of the upper jaw, the bone of the lower jaw being the mandible.
a.
Relating to the morning, or to matins; matutinal.
v.
Of or pertaining to a husband; as, marital rights, duties, authority.
a.
Greatest in quantity or highest in degree attainable or attained; as, a maximum consumption of fuel; maximum pressure; maximum heat.
n.
One of the lower or outer jaws of arthropods.
n.
One of the Mammalia.
a.
Performed by, or proceeding from, occult and superhuman agencies; done by, or seemingly done by, enchantment or sorcery. Hence: Seemingly requiring more than human power; imposing or startling in performance; producing effects which seem supernatural or very extraordinary; having extraordinary properties; as, a magic lantern; a magic square or circle.
n.
One of the lower animals; a brute or beast, as distinguished from man; as, men and animals.
n.
The greatest quantity or value attainable in a given case; or, the greatest value attained by a quantity which first increases and then begins to decrease; the highest point or degree; -- opposed to minimum.
n.
An organized living being endowed with sensation and the power of voluntary motion, and also characterized by taking its food into an internal cavity or stomach for digestion; by giving carbonic acid to the air and taking oxygen in the process of respiration; and by increasing in motive power or active aggressive force with progress to maturity.
a.
Consisting of the flesh of animals; as, animal food.
a.
Pertaining to the merely sentient part of a creature, as distinguished from the intellectual, rational, or spiritual part; as, the animal passions or appetites.
n.
The bone of either the upper or the under jaw.