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Condition in mathematical optimization
are equal. By definition, strong duality holds if and only if the duality gap is equal to 0. This is opposed to weak duality (the primal problem has optimal
Strong_duality
Principle in mathematical optimization
In mathematical optimization theory, duality or the duality principle is the principle that optimization problems may be viewed from either of two perspectives
Duality_(optimization)
Mathematical optimization concept
belong to a larger class of duality theorems in optimization. The strong duality theorem is one of the cases in which the duality gap (the gap between the
Dual_linear_program
Subfield of convex optimization
sometimes referred to as duality gap. When the value of the primal and dual SDPs are equal, the SDP is said to satisfy the strong duality property. Unlike linear
Semidefinite_programming
Concept in convex optimization
i=1,\ldots ,m} and A x ∗ = b {\displaystyle Ax^{*}=b} then strong duality holds. Duality Karush–Kuhn–Tucker conditions Lagrange multiplier Slater, Morton
Slater's_condition
Concept in optimization
in contrast to strong duality, which states that the primal optimal objective and the dual optimal objective are equal. Strong duality only holds in certain
Weak_duality
General concept and operation in mathematics
instance, linear algebra duality corresponds in this way to bilinear maps from pairs of vector spaces to scalars, the duality between distributions and
Duality_(mathematics)
Equivalence of two physical theories
In theoretical physics, S-duality (short for strong–weak duality, or Sen duality) is an equivalence of two physical theories, which may be either quantum
S-duality
Strong-weak duality in supersymmetric theories of theoretical physics
Montonen–Olive duality or electric–magnetic duality is the oldest known example of strong–weak duality or S-duality according to current terminology. It
Montonen–Olive_duality
Continuous dual space endowed with the topology of uniform convergence on bounded sets
areas of mathematics, the strong dual space of a topological vector space (TVS) X {\displaystyle X} is the continuous dual space X ′ {\displaystyle X^{\prime
Strong_dual_space
Guatemalan physicist (born 1956)
Ibáñez, and Dieter Lüst, he proposed a weak-strong duality conjecture which introduced the concept of S-duality in 1990. He obtained his BSc in physics from
Fernando_Quevedo
Mathematical result in convex functions theory
In mathematics, Fenchel's duality theorem is a result in the theory of convex functions named after Werner Fenchel. Let f {\displaystyle f} be a proper
Fenchel's_duality_theorem
is the traditional definition of Fenchel duality. Radu Ioan Boţ; Gert Wanka; Sorin-Mihai Grad (2009). Duality in Vector Optimization. Springer. ISBN 978-3-642-02885-4
Perturbation_function
2004 single by Slipknot
style. Unlike many previous Slipknot singles, "Duality", like most of the songs on Vol. 3, does not have strong profanity. Thomson explained in a 2008 interview
Duality_(song)
Mathematical theorem in convex analysis
a generalization of the bipolar theorem. It is used in duality theory to prove strong duality (via the perturbation function). Let ( X , τ ) {\displaystyle
Fenchel–Moreau_theorem
Distance function defined between probability distributions
}[g(y)]\\[6pt]f(x)+g(y)\leq c(x,y)\end{cases}}} and the strong duality still holds. This is the Kantorovich duality theorem. Cédric Villani recounts the following
Wasserstein_metric
Theorem in graph theory
weighted, edge version, and which in turn is a special case of the strong duality theorem for linear programs. The edge-connectivity version of Menger's
Menger's_theorem
The duality gap is zero if and only if strong duality holds. Otherwise the gap is strictly positive and weak duality holds. In general given two dual pairs
Duality_gap
Duality for locally compact abelian groups
In mathematics, Pontryagin duality is a duality between locally compact abelian groups that allows generalizing Fourier transform to all such groups, which
Pontryagin_duality
Mathematics of convex functions and sets
perturbation framework includes many familiar dualities as special cases, including Fenchel duality and Lagrange duality. Different choices of the perturbation
Convex_analysis
Connects homology and cohomology groups for oriented closed manifolds
unique orientation mod 2, Poincaré duality holds mod 2 without any assumption of orientation. A form of Poincaré duality was first stated, without proof
Poincaré_duality
Subfield of convex optimization
the dual cone of C {\displaystyle C\ } . Whilst weak duality holds in conic linear programming, strong duality does not necessarily hold. The dual of
Conic_optimization
Class of symmetries in string theory
distance scale with a small distance scale. This type of duality is called T-duality. T-duality relates type IIA superstring theory to type IIB superstring
String_duality
Conjectured duality combining S-duality and T-duality
In physics, U-duality (short for unified duality) is a symmetry of string theory or M-theory combining S-duality and T-duality transformations. The term
U-duality
Smallest convex set containing a given set
of points in the plane or other low-dimensional Euclidean spaces, and its dual problem of intersecting half-spaces, are fundamental problems of computational
Convex_hull
Equivalence of two physical theories
In theoretical physics, T-duality (short for target-space duality) is an equivalence of two physical theories, which may be either quantum field theories
T-duality
Theory of subatomic structure
Two theories related by a duality need not be string theories. For example, Montonen–Olive duality is an example of an S-duality relationship between quantum
String_theory
Dual pair of vector spaces
In mathematics, a dual system, dual pair or a duality over a field K {\displaystyle \mathbb {K} } is a triple ( X , Y , b ) {\displaystyle (X,Y,b)} consisting
Dual_system
Solvability theorem for finite systems of linear inequalities
extension of Farkas' lemma can be used to analyze the strong duality conditions for and construct the dual of a semidefinite program. It is sufficient to prove
Farkas'_lemma
they are both DF-spaces. Then, denoting strong dual spaces with a subscripted b {\displaystyle b} : The strong dual of N ⊗ ^ π Y {\displaystyle N{\widehat
Projective_tensor_product
Method to solve optimization problems
of weak duality. The strong duality theorem states that this bound is in fact tight: if the primal has an optimal solution, x*, then the dual also has
Linear_programming
Topological vector spaces
C_{\text{c}}^{\infty }(U)} into a complete Hausdorff locally convex TVS. The strong dual space of C c ∞ ( U ) {\displaystyle C_{\text{c}}^{\infty }(U)} is called
Spaces of test functions and distributions
Spaces_of_test_functions_and_distributions
Mathematical category formed by reversing morphisms
if y ≤ x. The new order is commonly called dual order of ≤, and is mostly denoted by ≥. Therefore, duality plays an important role in order theory and
Opposite_category
Generalisations of Serre duality in mathematics
In mathematics, coherent duality is any of a number of generalisations of Serre duality, applying to coherent sheaves, in algebraic geometry and complex
Coherent_duality
For people ages 15–24 is high
1787/72275f0b-en. The Spanish labour market remains characterised by a strong duality between permanent and temporary workers. Spain - Review of progress
Youth_unemployment_in_Spain
TVS whose strong dual is barralled
duality ⟨ X ′ , X ′ ′ ⟩ {\displaystyle \left\langle X^{\prime },X^{\prime \prime }\right\rangle } ) of B ∘ . {\displaystyle B^{\circ }.} The strong dual
Distinguished_space
Generalization of finite-dimensional Euclidean spaces different from Hilbert spaces
is even isomorphic to its own strong dual space) and replaces D ′ {\displaystyle {\mathcal {D}}^{\prime }} with the dual of this L 2 {\displaystyle L^{2}}
Nuclear_space
Type of topological space
(for example, a Fréchet space) is a normable space if and only if its strong dual space X b ′ {\displaystyle X_{b}^{\prime }} is a Fréchet–Urysohn space
Fréchet–Urysohn_space
Philosophical theory
the position that man is made up of dual substances. Rather, Aquinas shows us that we can acknowledge a duality within substance itself, while maintaining
Mind–body_dualism
Graph representing faces of another graph
tetrahedron dual to itself. Polyhedron duality can also be extended to duality of higher dimensional polytopes, but this extension of geometric duality does
Dual_graph
Mathematical term
is zero. One normally obtains spaces of distributions by forming the strong dual of a space of test functions (such as the compactly supported smooth
Weak_topology
German physicist (born 1956)
and Fernando Quevedo they proposed a weak-strong duality conjecture which introduced the concept of S-duality in 1990. He has been an editor of Fortschritte
Dieter_Lüst
Locally convex topological vector space that is also a complete metric space
Every Fréchet space is a Ptak space. The strong bidual (that is, the strong dual space of the strong dual space) of a metrizable locally convex space
Fréchet_space
Locally convex topological vector space
map from X {\displaystyle X} into its bidual (which is the strong dual of the strong dual of X {\displaystyle X} ) is a homeomorphism (or equivalently
Reflexive_space
Romanian mathematician and academic
sets. In 2009, he co-authored the book titled Duality in Vector Optimization, wherein he focused on duality theory in vector optimization, filling a literature
Radu_I._Boț
Political alliance in Armenia
Strong Armenia (Armenian: Ուժեղ Հայաստան, romanized: Uzhegh Hayastan) is a pro-Russian Armenian political party established in 2025 by businessman Samvel
Strong_Armenia
Citizenship in multiple countries held by the same person
subject to taxation on worldwide income, etc.). Some countries do not permit dual citizenship or only do in certain cases (e.g., inheriting multiple nationalities
Multiple_citizenship
In mathematics, vector space of linear forms
contravariance of vectors Dual module Dual norm Duality (mathematics) Duality (projective geometry) Pontryagin duality Reciprocal lattice – dual space basis, in
Dual_space
Symmetry in statistical physics
and strong-weak-coupling duality in the two-dimensional Φ4 field model". arXiv:cond-mat/0110205. Jug, Giancarlo; Shalaev, Boris N. (1999). "Duality symmetry
Kramers–Wannier_duality
Model in string theory
of the dual N point function." Nordita preprint (1969); unpublished. Susskind, Leonard (1970-02-15). "Structure of Hadrons Implied by Duality". Physical
Dual_resonance_model
Monoidal category
partial Tannaka duality results in the situation where the category is R-linear, where R is no longer a field (as in classical Tannakian duality), but certain
Tannakian_formalism
Homology class in mathematics
extend Poincaré duality to that case too (see Lefschetz duality). In fact, the cap product with a fundamental class gives a stronger duality result saying
Fundamental_class
Duality between theories of gravity on anti-de Sitter space and conformal field theories
studying strongly coupled quantum field theories. Much of the usefulness of the duality results from the fact that it is a strong–weak duality: when the
AdS/CFT_correspondence
Normed vector space that is complete
denotes the strong dual space of X , {\displaystyle X,} whose topology is a generalization of the dual norm-induced topology on the continuous dual space X
Banach_space
Framework of superstring theory
mathematical transformations called S-duality and T-duality. Witten's conjecture was based in part on the existence of these dualities and in part on the relationship
M-theory
Riemannian manifold Duality (optimization) Weak duality — dual solution gives a bound on the primal solution Strong duality — primal and dual solutions are
List of numerical analysis topics
List_of_numerical_analysis_topics
Renormalization group duality in supersymmetric gauge theories
In quantum field theory, Seiberg duality, conjectured by Nathan Seiberg in 1994, is an S-duality relating two different supersymmetric QCDs. The two theories
Seiberg_duality
Dual space topology of uniform convergence on some sub-collection of bounded subsets
repeating theme in duality theory, which is that any definition for a pairing ( X , Y , b ) {\displaystyle (X,Y,b)} has a corresponding dual definition for
Polar_topology
Physics concept of subatomic structure
called S-duality. The HO and HE theories are also related by T-duality. Because the various superstring theories were shown to be related by dualities, it
Heterotic_string_theory
In mathematical analysis, a strong measure zero set is a subset A of the real line with the following property: for every sequence (εn) of positive reals
Strong_measure_zero_set
Graph coloring where graph elements are assigned sets of colors
the total weight assigned to any independent set is at most 1. The strong duality theorem of linear programming guarantees that the optimal solutions
Fractional_coloring
Topological vector space whose topology can be defined by a metric
DF-space. The strong dual of a DF-space is a Fréchet space. The strong dual of a reflexive Fréchet space is a bornological space. The strong bidual (that
Metrizable topological vector space
Metrizable_topological_vector_space
equivalent: The strong dual of X {\displaystyle X} is quasibarrelled. The strong dual of X {\displaystyle X} is barrelled. The strong dual of X {\displaystyle
Infrabarrelled_space
Space of bounded sequences
^{p}} space with the largest p {\displaystyle p} . This space is the strong dual space of ℓ 1 {\displaystyle \ell ^{1}} : indeed, every x ∈ ℓ ∞ {\displaystyle
L-infinity
Adage linking design systems to communication structures
MacCormack, Alan; Rusnak, John; Baldwin, Carliss Y. (2011). "Exploring the Duality between Product and Organizational Architectures: A Test of the Mirroring
Conway's_law
1995 studio album by DJ Krush
"Duality" Guru – vocals on "Most Wanted Man" Malik B. – vocals on "Meiso" Deflon Sallahr – vocals on "Ground" CL Smooth – vocals on "Only the Strong Survive"
Meiso
Theoretical approach to particle confinement
recognizes important duality between gravity-like and QCD-like theories, most notably the AdS/QCD correspondence. The concept of strong gravity follows from
Strong_gravity
American basketball player (born 2006)
later joined the Boston Celtics front office. Strong has dual citizenship with France. In April 2024, Strong signed a name, image, and likeness (NIL) deal
Sarah_Strong
Nonconceptual awareness and interconnectedness
Dharmakaya. This reality, states King, transcends the "duality of self and not-self", the "duality of form and emptiness" and the "two poles of being and
Nondualism
1998 book by Jackie Kay
this novel shows a sharp contrast to other dominant themes. Amidst a strong duality of themes (notably male and female, Black and white) jazz on the other
Trumpet_(novel)
Equivalence of optimization problems
follows from the strong duality theorem in linear programming, which states that if the primal program has an optimal solution, x*, then the dual program also
Max-flow_min-cut_theorem
Method of physical modelling synthesis
Karplus–Strong string synthesis is a method of physical modelling synthesis that loops a short waveform through a filtered delay line to simulate the sound
Karplus–Strong string synthesis
Karplus–Strong_string_synthesis
Abstract mathematics relationship
the opposite (or dual) of another category then one speaks of a duality of categories, and says that the two categories are dually equivalent. An equivalence
Equivalence_of_categories
Linear operator related to topological vector spaces
Bornologies and functional analysis : introductory course on the theory of duality topology-bornology and its use in functional analysis. Amsterdam New York
Nuclear_operator
Generalization of binary functions
polynomial, a concept called roof duality can be used to obtain a lower bound for its minimum value. Roof duality may also provide a partial assignment
Pseudo-Boolean_function
List of concrete topologies and topological spaces
topology Dual topology Norm topology Operator topologies Pointwise convergence Weak convergence (Hilbert space) Weak* topology Polar topology Strong dual space
List_of_topologies
American business executive
roles at Liberty Global. Strong became group chief executive of Sky in 2021. Strong was born in Ohio in July 1970. She earned a dual degree from the University
Dana_Strong
Generalization of dominating sets using fractional weights
number can be computed as the solution to a linear program by utilizing strong duality. For any graph G {\displaystyle G} with n {\displaystyle n} vertices
Fractional_dominating_set
Bornologies and Functional Analysis: Introductory Course on the Theory of Duality Topology-Bornology and its use in Functional Analysis. North-Holland Mathematics
Topologies on spaces of linear maps
Topologies_on_spaces_of_linear_maps
Space where bounded operators are continuous
spaces have bornological strong duals. The strong dual of every reflexive Fréchet space is bornological. If the strong dual of a metrizable locally convex
Bornological_space
Social theory proposed by Giddens that attempts to resolve the structure-agent debate
this process "the duality of structure and agency", since both aspects are involved in using and producing social actions. The duality of structure is essentially
Structuration_theory
Extent to which a programming language discourages type errors
prevents type errors.[vague] Type-safe languages are sometimes also called strongly or strictly typed. The behaviors classified as type errors by a given programming
Type_safety
Term applied to cryptographic systems that are highly resistant to cryptanalysis
Strong cryptography or cryptographically strong are general terms used to designate the cryptographic algorithms that, when used correctly, provide a
Strong_cryptography
Mathematical function
neighborhood of the origin. The strong dual X b ′ {\displaystyle X_{b}^{\prime }} of X {\displaystyle X} is normable. The strong dual X b ′ {\displaystyle X_{b}^{\prime
Seminorm
Thought experiment on artificial intelligence
made of different "substances". Indeed, Searle accuses strong AI of dualism, writing that "strong AI only makes sense given the dualistic assumption that
Chinese_room
Compact astronomical body
curvature of spacetime is infinite. Objects whose gravitational fields are too strong for light to escape were first considered in the 18th century. In 1916,
Black_hole
2007 studio album by Bayside
time; alongside this, the track listing and artwork was posted online. "Duality" has been released as Bayside's first single off The Walking Wounded; it
The_Walking_Wounded
In probability theory, it means the standard probability space. The strong dual of an AM-space with unit is an AL-space. The reason for the name abstract
Abstract_L-space
2004 studio album by All That Remains
tracks.” Old Guard writing for last rites stated “There’s the presence of strong dual guitar harmonies – an obvious nod to Iron Maiden, along with some choppy
This_Darkened_Heart
that the canonical evaluation map from X into its bidual (which is the strong dual of X) is bijective. If this map is also an isomorphism of TVSs then it
Semi-reflexive_space
Theory of forces and subatomic particles
describing three of the four known fundamental forces (electromagnetic, weak and strong interactions – excluding gravity) in the universe and classifying all known
Standard_Model
Doubt about God's existence
this stance into a universal claim about what others can or cannot know. Strong agnosticism, by contrast, embraces the more assertive position that knowledge
Agnosticism
Topological space characterized by sequences
Montel spaces and, in the dual space of any Montel space, a sequence of continuous linear functionals converges in the strong dual topology if and only if
Sequential_space
Function space of all functions whose derivatives are rapidly decreasing
this space. This property enables one, by duality, to define the Fourier transform for elements in the dual space S ∗ {\displaystyle {\mathcal {S}}^{*}}
Schwartz_space
Hypothetical particle dual to the photon
theoretical physics, the dual photon is a hypothetical elementary particle that is a dual of the photon under electric–magnetic duality which is predicted by
Dual_photon
Hypothetical particle found in supergravity
physics, the dual graviton is a hypothetical elementary particle that is a dual of the graviton under electric–magnetic duality, as an S-duality, predicted
Dual_graviton
unified, as long hoped, by new equivalences. These are known as S-duality, T-duality, U-duality, mirror symmetry, and conifold transitions. The different theories
History_of_string_theory
Function of two vectors linear in each argument
continuous. If X , Y , and Z {\displaystyle X,Y,{\text{ and }}Z} are the strong duals of Fréchet spaces then every separately continuous bilinear map b : X
Bilinear_map
Technique used to determine mass of hadrons
duality) proposed for string theory. This procedure makes it possible to find analytic solutions (closed-form expression) in situations where strong coupling
Light_front_holography
Type of topological vector space
} be a locally convex topology on X {\displaystyle X} consistent with duality. Then a subset B {\displaystyle B} of X {\displaystyle X} is a barrel in
Barrelled_space
STRONG DUALITY
STRONG DUALITY
Girl/Female
Indian
Lively, Entertainer, From a stream or a Spring, The Spring season, The Spring season
Male
Vietnamese
Vietnamese name TRANG means "honorable."
Female
English
English name derived from the season name, "spring," (Mar. 21 thru Jun. 21), derived from the verb spring, "to burst forth," from Proto-Indo-European *sprengh-, SPRING means "rapid movement."Â
Girl/Female
American, Australian, Bengali, British, Christian, English, Indian
Springtime; Spring Season; Rapid Movement
Surname or Lastname
English
English : of uncertain origin. Early examples, as for example William Spring (Yorkshire 1280), all point to a personal name or nickname, perhaps going back to an Old English byname derived from the verb springan ‘to jump or leap’ (see Springer 1). Alternatively, it could be a topographic name from Middle English spring ‘young wood’, ‘spring’. Compare Springer. Reaney derives the surname from the word denoting the season, although the word is not attested in this sense until the 16th century, the usual Middle English word being lenten. Compare Lenz. The surname has also been established in Ireland (County Kerry) for several centuries.German : from Middle High German sprinc, Middle Low German sprink ‘spring’, ‘well’, hence a topographic name for someone who lived by a spring or well, or habitational name from Springe near Hannover.Jewish (Ashkenazic) : variant of Springer.John Spring emigrated from England and settled in Watertown, MA, in 1634.
Surname or Lastname
English
English : nickname for an incomer, a newcomer to an area, from Middle English strange ‘foreign’ (a reduced form of Old French estrange, Latin extraneus, from extra ‘outside’).
Girl/Female
Biblical
His plain; his song.
Surname or Lastname
English
English : topographic name from Middle English spong ‘narrow strip of land’, or a habitational name from Spong Farm in Elmstead, Kent, which is named with this word.Swedish : topographic or ornamental name from spång ‘footbridge’, ‘plank’.
Surname or Lastname
English (Cornwall)
English (Cornwall) : perhaps, as Reaney suggests, a variant of Strutt.
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
Strong; Stung
Surname or Lastname
English and French
English and French : metonymic occupational name, from Middle English, Old French trone ‘weighing machine’.
Boy/Male
English
Stone
Surname or Lastname
English
English : variant of Stroud.German (Ströde) : topographic name from a dialect word meaning ‘thicket’.
Surname or Lastname
English
English : metonymic occupational name for a maker of strings or bow strings, from Middle English streng ‘string’, ‘cord’.
Boy/Male
Anglo, British, English
Strong
Boy/Male
American, Australian, British, English
Powerful
Surname or Lastname
English (southern)
English (southern) : habitational name from places in Gloucestershire and Middlesex, so named from Old English strÅd ‘marshy ground overgrown with brushwood’. Strood in Kent is named with the same word, and some examples of the surname are no doubt derived from this term in independent use.
Male
Vietnamese
Vietnamese name TRONG means "respected."
Surname or Lastname
English
English : from Middle English strong, strang ‘strong’, generally a nickname for a strong man but perhaps sometimes applied ironically to a weakling.French : translation of Trahand, a metonymic occupational name for a silkworker who drew out the thread from the cocoons (see Trahan).Translation of Ashkenazic Jewish Stark.
Male
Vietnamese
Vietnamese name TRUNG means "loyal."
STRONG DUALITY
STRONG DUALITY
Female
English
Feminine form of English unisex Kelsey, KELSIE means "ship-victory."
Boy/Male
Hindu
Happiness
Girl/Female
Arabic, Australian
Brighter; Beautiful; Smoother
Boy/Male
Tamil
Kaanishik | காநீஷிக
An ancient king
Boy/Male
Tamil
Chitrasen | சிதà¯à®°à®¸à¯‡à®¨
A king of gandharvas
Surname or Lastname
English
English : variant of Croft.
Girl/Female
Arabic, Muslim
Beautiful Princess
Male
Cornish
, supplanter.
Surname or Lastname
English
English : probably a patronymic from a diminutive of Pink.
Girl/Female
Indian, Kannada
Worldly; Knowledgeable
STRONG DUALITY
STRONG DUALITY
STRONG DUALITY
STRONG DUALITY
STRONG DUALITY
superl.
Having virtues of great efficacy; or, having a particular quality in a great degree; as, a strong powder or tincture; a strong decoction; strong tea or coffee.
superl.
Solid; tough; not easily broken or injured; able to withstand violence; able to sustain attacks; not easily subdued or taken; as, a strong beam; a strong rock; a strong fortress or town.
superl.
Solid; nourishing; as, strong meat.
superl.
Well established; firm; not easily overthrown or altered; as, a strong custom; a strong belief.
superl.
Tending to higher prices; rising; as, a strong market.
superl.
Of or pertaining to stone, consisting of, or abounding in, stone or stones; resembling stone; hard; as, a stony tower; a stony cave; stony ground; a stony crust.
superl.
Moving with rapidity or force; violent; forcible; impetuous; as, a strong current of water or wind; the wind was strong from the northeast; a strong tide.
superl.
Affecting any sense powerfully; as, strong light, colors, etc.; a strong flavor of onions; a strong scent.
v. t.
To furnish with strings; as, to string a violin.
superl.
Ardent; eager; zealous; earnestly engaged; as, a strong partisan; a strong Whig or Tory.
a.
Strong.
v. t.
To deprive of strings; to strip the strings from; as, to string beans. See String, n., 9.
superl.
Having great military or naval force; powerful; as, a strong army or fleet; a nation strong at sea.
adv.
In a strong manner; so as to be strong in action or in resistance; with strength; with great force; forcibly; powerfully; firmly; vehemently; as, a town strongly fortified; he objected strongly.
superl.
Adapted to make a deep or effectual impression on the mind or imagination; striking or superior of the kind; powerful; forcible; cogent; as, a strong argument; strong reasons; strong evidence; a strong example; strong language.
superl.
Having passive physical power; having ability to bear or endure; firm; hale; sound; robust; as, a strong constitution; strong health.
imp.
of String
p. p.
of String
superl.
Full of spirit; containing a large proportion of alcohol; intoxicating; as, strong liquors.