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Mathematical structure
In mathematics, a base-orderable matroid is a matroid that has the following additional property, related to the bases of the matroid. For any two bases
Base-orderable_matroid
Maximal independent set of the matroid
symmetric and bijective is not satisfied by all matroids: it is satisfied only by base-orderable matroids. In general, in the symmetric basis-exchange property
Basis_of_a_matroid
Abstraction of linear independence of vectors
In combinatorics, a matroid /ˈmeɪtrɔɪd/ is a structure that abstracts and generalizes the notion of linear independence in vector spaces. There are many
Matroid
Largest independent set of paired elements
Soto, José A. (2014), "A simple PTAS for weighted matroid matching on strongly base orderable matroids", Discrete Applied Mathematics, 164 (part 2): 406–412
Matroid_parity_problem
Subroutine for testing independence
mathematics and computer science, a matroid oracle is a subroutine through which an algorithm may access a matroid, an abstract combinatorial structure
Matroid_oracle
Abstraction of ordered linear algebra
An oriented matroid is a mathematical structure that abstracts the properties of directed graphs, vector arrangements over ordered fields, and hyperplane
Oriented_matroid
Group-theoretic generalization of matroids
mathematics, Coxeter matroids are generalization of matroids depending on a choice of a Coxeter group W and a parabolic subgroup P. Ordinary matroids correspond
Coxeter_matroid
trends. Matroid’s functionality is also exposed via a developer API. Supported hardware platforms: On-cloud: www.matroid.com, allows for scaling based on workload
Matroid,_Inc.
Partition of space by hyperplanes
semilattice, there is an analogous matroid-like structure called a semimatroid, which is a generalization of a matroid (and has the same relationship to
Arrangement_of_hyperplanes
Abstraction of bar-and-joint frameworks
In the mathematics of structural rigidity, a rigidity matroid is a matroid that describes the number of degrees of freedom of an undirected graph with
Rigidity_matroid
Hierarchical clustering of graph edges
Branch-decompositions and branchwidth may also be generalized from graphs to matroids. An unrooted binary tree is a connected undirected graph with no cycles
Branch-decomposition
Partition of graph into sequence of paths
efficient graph algorithms. They may also be generalized from graphs to matroids. Several important classes of graphs may be characterized as the graphs
Ear_decomposition
Set system used in greedy optimization
a greedoid is a type of set system. It arises from the notion of the matroid, which was originally introduced by Whitney in 1935 to study planar graphs
Greedoid
Graph representing faces of another graph
matroid of M. Then Whitney's planarity criterion can be rephrased as stating that the dual matroid of a graphic matroid M is itself a graphic matroid
Dual_graph
English mathematician
(with R. A. Main) ‘Non-algebraic matroids exist’. Bull. London Math Soc. 7 (1975) 144–146. ‘Non-base-orderable matroids’. Proceedings of the Fifth British
Aubrey_William_Ingleton
Mathematical ways to group elements of a set
partitions of a finite set corresponds to a matroid in which the base set of the matroid consists of the atoms of the lattice, namely, the partitions with
Partition_of_a_set
Existence of a line through two points
oriented matroid with n {\displaystyle n} elements has at least 3 n / 7 {\displaystyle 3n/7} two-point lines, or equivalently every rank-3 matroid with fewer
Sylvester–Gallai_theorem
sets of a matroid. For example, every bundle must contain at most k items, where k is a fixed integer (this corresponds to a uniform matroid). Or, the
Welfare_maximization
Concept in mathematical optimisation
starting from the last chosen variable and following the given circular order. History-based rules defeat the deformed hypercube constructions because they tend
Cunningham's_rule
Set that intersects every one of a family of sets
finite sets form the basis sets of a matroid, the transversal matroid of C. The independent sets of the transversal matroid are the partial transversals of
Transversal_(combinatorics)
Tree which includes all vertices of a graph
also be expressed using the theory of matroids, according to which a spanning tree is a base of the graphic matroid, a fundamental cycle is the unique circuit
Spanning_tree
Matroid associated with a group
a role in matroid theory as universal objects (Kahn and Kung, 1982); in that respect they are analogous to projective geometries, but based on groups
Dowling_geometry
Type of functional equation (mathematics)
Théorie analytique de la chaleur (The Analytic Theory of Heat), in which he based his reasoning on Newton's law of cooling, namely, that the flow of heat
Differential_equation
Branch of mathematics
special subsets based on the given order. A simple example are upper sets; i.e. sets that contain all elements that are above them in the order. Formally,
Order_theory
Set whose pairs have minima and maxima
distributive lattices, and geometric lattices (matroids). These lattice-like structures all admit order-theoretic as well as algebraic descriptions. The
Lattice_(order)
Intersection of two partition matroids - 6.75 Intersection of a graphic matroid and a partition matroid - 10.66 General matroid with matroid rank k {\displaystyle
Bayesian-optimal_pricing
Sukyan no Bazaruso Eru Jē): A cuttlefish-themed Matroid sent to find and capture physically fit humans in order to convert into cyborg soldiers, only to be
List of Tensou Sentai Goseiger characters
List_of_Tensou_Sentai_Goseiger_characters
Method for mathematical optimization
of oriented matroids (OMs), which is a combinatorial abstraction of linear-optimization theory. Indeed, Bland's pivoting rule was based on his previous
Criss-cross_algorithm
Mathematical theory
{\displaystyle G} are preserved by re-ordering; The irredundant bases of G {\displaystyle G} form the bases of a matroid. Cameron, P. J; Fon-Der-Flaass, D
Cameron–Fon-Der-Flaass IBIS theorem
Cameron–Fon-Der-Flaass_IBIS_theorem
independent set or a base of this matroid. Cardinality constraints are special cases of matroid constraints in which the matroid is a uniform matroid. Categorized
Balanced_number_partitioning
of it include enumerative combinatorics, combinatorial design theory, matroid theory, extremal combinatorics and algebraic combinatorics, as well as
Glossary of areas of mathematics
Glossary_of_areas_of_mathematics
A perfectly orderable graph is a graph whose vertices can be ordered in such a way that a greedy coloring algorithm with this ordering optimally colors
Glossary_of_graph_theory
minimums of finite collections of polynomials. Rota's basis conjecture: for matroids of rank n {\displaystyle n} with n {\displaystyle n} disjoint bases B i
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Mathematical system of orderings or sets
defining antimatroids as set systems are very similar to those of matroids, but whereas matroids are defined by an exchange axiom, antimatroids are defined instead
Antimatroid
Algorithm for linear programming
(1983, p. 79) There are abstract optimization problems, called oriented matroid programs, on which Bland's rule cycles (incorrectly) while the criss-cross
Simplex_algorithm
Award for advancements in discrete mathematics
theorem. Paul Seymour for generalizing the max-flow min-cut theorem to matroids. 1982: D.B. Judin, Arkadi Nemirovski, Leonid Khachiyan, Martin Grötschel
Fulkerson_Prize
Branch of mathematics
transformations, and its subgroups such as the modular group and Fuchsian group, based on work on automorphic functions in analysis. The abstract concept of group
Abstract_algebra
Geographical region in Northeast Asia
(2009). A Lost Mathematician, Takeo Nakasawa: The Forgotten Father of Matroid Theory. Springer. p. 15. Hosie, Alexander (1910). Manchuria; its people
Manchuria
Mathematical operator
A and {x}. A finitary closure operator with this property is called a matroid. The dimension of a vector space, or the transcendence degree of a field
Closure_operator
Elad; Carmesin, Johannes; Fröhlich, Jan-Oliver (2012-07-09), Infinite matroid union, arXiv:1111.0602 Blossier, Thomas; Bouscaren, Elisabeth (2010). "Finitely
Glossary_of_logic
Branch of mathematics
flat Euclidean space). Non-Euclidean geometry consists of two geometries based on axioms closely related to those that specify Euclidean geometry. As Euclidean
Geometry
Field of knowledge
Coding theory, including error correcting codes and a part of cryptography Matroid theory Discrete geometry Discrete probability distributions Game theory
Mathematics
Operation on the subsets of a set
of a relation is the smallest equivalence relation that contains it. In matroid theory, the closure of X is the largest superset of X that has the same
Closure_(mathematics)
Independent set which is not a subset of any other independent set
mathematical structures other than graphs, and in particular in vector spaces and matroids. Two algorithmic problems are associated with MISs: finding a single MIS
Maximal_independent_set
Dimension of the column space of a matrix
and that this definition does agree with matrix rank as here discussed. Matroid rank Nonnegative rank (linear algebra) Rank (differential topology) Rank–nullity
Rank_(linear_algebra)
Area of geometry, about angles and lengths
side is the side that is opposite to angle A. The terms perpendicular and base are sometimes used for the opposite and adjacent sides respectively. See
Trigonometry
Problem of finding the longest simple path for a given graph
ISBN 9780262032933. Lawler, Eugene L. (2001), Combinatorial Optimization: Networks and Matroids, Courier Dover Publications, p. 64, ISBN 9780486414539. Sedgewick, Robert;
Longest_path_problem
Graph divided into two independent sets
of bipartiteness to hypergraphs. Bipartite matroid, a class of matroids that includes the graphic matroids of bipartite graphs Bipartite network projection
Bipartite_graph
Area of mathematics
perspective, in different research contexts complex systems are defined on the base of their different attributes. The study of complex systems is bringing new
Dynamical_systems_theory
Algorithmic problem of finding non-crossing drawings
planarity criterion that a graph is planar if and only if its graphic matroid is also cographic, Mac Lane's planarity criterion characterizing planar
Planarity_testing
Branch of elementary mathematics
of roots, and taking logarithms. Arithmetic systems can be distinguished based on the type of numbers they operate on. Integer arithmetic is about calculations
Arithmetic
analyzing objects meeting the criteria (as in combinatorial designs and matroid theory), finding "largest", "smallest", or "optimal" objects (extremal
Lists_of_mathematics_topics
M. (1992), "8. Introduction to greedoids" (PDF), in White, Neil (ed.), Matroid Applications, Encyclopedia of Mathematics and its Applications, vol. 40
Rooted_graph
Branch of mathematics
homogeneous coordinates of a point of Pn as a sequence of n + 1 elements of the base field k, defined up to the multiplication by a nonzero element of k (the
Algebraic_geometry
Analysis of datasets using techniques from topology
reduction can in fact be performed as the complex is constructed by using matroid theory, leading to further performance increases. Another recent algorithm
Topological_data_analysis
For example, 1.2E3 is 1.2×103 or 1200 the set of edges in a graph or matroid the unit prefix exa (1018) energy in physics electric field denoted E {\displaystyle
Latin letters used in mathematics, science, and engineering
Latin_letters_used_in_mathematics,_science,_and_engineering
Method to solve optimization problems
Method of computing optimal strategies for last-success problems Oriented matroid – Abstraction of ordered linear algebra Quadratic programming – Solving
Linear_programming
Any collection of sets, or subsets of a set
of a set in F {\displaystyle F} is also in F {\displaystyle F} . A matroid is an abstract simplicial complex with an additional property called the
Family_of_sets
Canadian geometer (1907–2003)
helped inspire some of Escher's works, particularly the Circle Limit series based on hyperbolic tessellations. He also inspired some of the innovations of
Harold Scott MacDonald Coxeter
Harold_Scott_MacDonald_Coxeter
Graph of n vertices with a perfect matching for every subgraph of n-1 vertices
contracted to make a given graph G factor-critical form the bases of a matroid, a fact that implies that a greedy algorithm may be used to find the minimum
Factor-critical_graph
"Hom4PS-3: A Parallel Numerical Solver for Systems of Polynomial Equations Based on Polyhedral Homotopy Continuation Methods". In Hong, H.; Yap, C. (eds
Numerical_algebraic_geometry
featured the antagonistic robot group Matrintis. Their foot soldiers, the Matroids, followed perverted versions of the "Three Laws of Robotics": conquer humans
The Three Laws of Robotics in popular culture
The_Three_Laws_of_Robotics_in_popular_culture
Form of entertainment in mathematics
recreation (entertainment) rather than as a strictly research-and-application-based professional activity or as a part of a student's formal education. Although
Recreational_mathematics
conjecture is still open. Matroid bundles. In 2003 Daniel Biss published a paper in the Annals of Mathematics claiming to show that matroid bundles are equivalent
List_of_incomplete_proofs
Vertices whose removal breaks all cycles
time on graphs of maximum degree at most three, using an algorithm based on the matroid parity problem. The corresponding NP optimization problem of finding
Feedback_vertex_set
Abstract strategy board game
mathematical underpinnings related to the Brouwer fixed-point theorem, matroids and graph connectivity. Hex is a finite, two-player perfect information
Hex_(board_game)
Operation in graph theory
the pivot-minor relation are essentially equivalent to binary matroids with the matroid minor relation. For a circle graph G {\displaystyle G} , performing
Local_complementation
Generalization of graph theory
abstract simplicial complex with the augmentation property is called a matroid. Laminar: for any two hyperedges, either they are disjoint, or one is included
Hypergraph
Combinitorics of Polyhedra
available. Abstract polytope Combinatorial commutative algebra Matroid polytope Order polytope Simplicial sphere Stable matching polytope Ziegler (1995)
Polyhedral_combinatorics
Flat-sided three-dimensional shape
Bokowski, J.; Guedes de Oliveira, A. (2000), "On the generation of oriented matroids", Discrete and Computational Geometry, 24 (2–3): 197–208, doi:10.1007/s004540010027
Polyhedron
Branch of algebraic geometry
abelian group. Modern foundations of algebraic geometry were developed based on contemporary commutative algebra, including valuation theory and the
Arithmetic_geometry
Smallest convex set containing a given set
convex hulls may also be generalized in a more abstract way, to oriented matroids. It is not obvious that the first definition makes sense: why should there
Convex_hull
Game where groups of players may enforce cooperative behaviour
matroids. In this context, the core of a convex cost game is called the base polyhedron, because its elements generalize base properties of matroids.
Cooperative_game_theory
Section 4.3 Aharoni, Ron; Berger, Eli (2006). "The intersection of a matroid and a simplicial complex". Transactions of the American Mathematical Society
Homotopical_connectivity
algorithms. 2018: Stefan Kratsch and Magnus Wahlström for their work using matroid theory to develop polynomial-size kernels for odd cycle transversal and
Nerode_Prize
Computational problem in graph theory
ISSN 0022-0000. Eugene Lawler (2001). "4. Network Flows". Combinatorial Optimization: Networks and Matroids. Dover. pp. 109–177. ISBN 978-0-486-41453-9.
Maximum_flow_problem
Operation combining two oriented knots
125–136. Ramirez Alfonsin, J. L. (1999), "Spatial graphs and oriented matroids: the trefoil", Discrete and Computational Geometry, 22 (1): 149–158, doi:10
Knot_(mathematics)
Subgraph with contracted edges
graph H. Graph minors are often studied in the more general context of matroid minors. In this context, it is common to assume that all graphs are connected
Graph_minor
Japanese series
Zan-KT0 of the Shot (ショットのザンKT0, Shotto no Zan Kē Tī Zero): A scallop-themed Matroid and servant of the Matrintis Empire. He is deployed to destroy the Negakure
List of Kaizoku Sentai Gokaiger characters
List_of_Kaizoku_Sentai_Gokaiger_characters
Skeletonized version of algebraic geometry
Ardila, Federico; Klivans, Caroline J. (2006). "The Bergman complex of a matroid and phylogenetic trees". Journal of Combinatorial Theory, Series B. 96
Tropical_geometry
Quantified formulas with real-number variables
Michel; Sturmfels, Bernd; White, Neil; Ziegler, Günter M. (1993), Oriented Matroids, Encyclopedia of Mathematics and its Applications, vol. 46, Cambridge:
Existential theory of the reals
Existential_theory_of_the_reals
Assignment of colors to edges of a graph
Westermann, Herbert H. (1992), "Forests, frames, and games: algorithms for matroid sums and applications", Algorithmica, 7 (5–6): 465–497, doi:10.1007/BF01758774
Edge_coloring
Cycles in a graph that generate all cycles
in any matroid, a minimum weight basis may be found by a greedy algorithm that considers potential basis elements one at a time, in sorted order by their
Cycle_basis
mathematician specializing in disease modeling Collette Coullard, American matroid theorist and operations researcher Judith Covington, American mathematics
List_of_women_in_mathematics
System of equations in mathematics
Mathematical Society. ISBN 978-3-03719-017-3. Kazuo Murota (2009). Matrices and Matroids for Systems Analysis. Springer Science & Business Media. ISBN 978-3-642-03994-2
Differential-algebraic system of equations
Differential-algebraic_system_of_equations
Economical computational problem
the bases of a matroid over the set of resources, then all best-response sequences converge in polynomial number of steps, and the matroid property is essential
Nash_equilibrium_computation
Criterion of fair item allocation
guarantee, that works for the more general problem of allocating a basis of a matroid. Li, Moulin, Sun and Zhou have extended Hill's lower bound to bads, and
Maximin_share
Geometric system with a finite number of points
finite, because a Euclidean line contains infinitely many points. A geometry based on the graphics displayed on a computer screen, where the pixels are considered
Finite_geometry
Measurement of graph sparsity
Westermann, H. H. (1992), "Forests, frames, and games: algorithms for matroid sums and applications", Algorithmica, 7 (1): 465–497, doi:10.1007/BF01758774
Degeneracy_(graph_theory)
Basic concepts of algebra
{\displaystyle (a+b)=(b+a)} . Algebraic expressions may be evaluated and simplified, based on the basic properties of arithmetic operations (addition, subtraction
Elementary_algebra
Convex hull of a finite set of points in a Euclidean space
a bit-length which is not polynomial in this representation. Oriented matroid Nef polyhedron Steinitz's theorem for convex polyhedra Branko Grünbaum
Convex_polytope
Generalizations in graph theory
Thomas; Zhang, Yihao (2019-12-23), "A Tale of Santa Claus, Hypergraphs and Matroids", Proceedings of the 2020 ACM-SIAM Symposium on Discrete Algorithms, Proceedings
Hall-type theorems for hypergraphs
Hall-type_theorems_for_hypergraphs
Model in statistical mechanics generalizing the Ising model
"The multivariate Tutte polynomial (alias Potts model) for graphs and matroids". Surveys in Combinatorics 2005. pp. 173–226. arXiv:math/0503607. doi:10
Potts_model
and using the Biswas-Barman algorithm for fair allocation with partition matroid constraints, or simply by round-robin item allocation. This guarantees
Temporal_fair_division
Museum in Manhattan, New York
Bhargava as its First President. Math Midway is a traveling exhibition of math-based interactive displays. The exhibits include a square-wheeled tricycle that
National Museum of Mathematics
National_Museum_of_Mathematics
Month in 1917
used by German armed forces during World War II, leading contributor to matroid and graph theory; as William Thomas Tutte, in Newmarket, Suffolk, England
May_1917
dieback". RNZ. 1 November 2019. Retrieved 21 July 2025. "People-driven, needs-based Pacific-indigenous psychology". www.massey.ac.nz. Retrieved 21 July 2025
Rutherford Discovery Fellowships
Rutherford_Discovery_Fellowships
defeat him. After destroying the enlarged Matroid, Datas laments losing his memory files on the Matrintis base. 43 "The Empire's All-Out Attack" Transliteration:
List of Tensou Sentai Goseiger episodes
List_of_Tensou_Sentai_Goseiger_episodes
(2018). "Multiple exchange property for M♮-concave functions and valuated matroids". Mathematics of Operations Research. 43 (3): 781–788. arXiv:1608.07021
Gross substitutes (indivisible items)
Gross_substitutes_(indivisible_items)
Social choice problem
Munagala and Shah focus on three types of constraints: Matroid constraints: there is a fixed matroid M over the items, and the chosen items must form a basis
Multi-issue_voting
BASE ORDERABLE-MATROID
BASE ORDERABLE-MATROID
Surname or Lastname
English
English : probably from a Middle English survival of the Old English personal name Bad(d)a, which is of uncertain origin, perhaps a short form of the various compound names with the first element beadu ‘battle’.North German : from a short form of a Germanic personal name composed with badu ‘strife’, ‘battle’.North German : occupational name from Middle Low German bade ‘messenger’.
Surname or Lastname
English (East Midlands)
English (East Midlands) : variant of Bayes.
Female
Egyptian
, Child of Bast.
Surname or Lastname
English
English : from Anglo-Norman French cas(s)e ‘case’, ‘container’ (from Latin capsa), hence a metonymic occupational name for a maker of boxes or chests.Americanized spelling of French Caisse.Americanized spelling of Kaas.Americanized spelling of German Käse, a metonymic occupational name for a maker or seller of cheese. Compare Kaeser.
Boy/Male
Hindu
Prosperous, Dweller
Surname or Lastname
English
English : from Old French bas(se) ‘low’, ‘short’ (Latin bassus ‘thickset’; see Basso), either a descriptive nickname for a short person or a status name meaning ‘of humble origin’, not necessarily with derogatory connotations.English : in some instances, from Middle English bace ‘bass’ (the fish), hence a nickname for a person supposedly resembling this fish, or a metonymic occupational name for a fish seller or fisherman.Scottish : habitational name from a place in Aberdeenshire, of uncertain origin.Jewish (Ashkenazic) : metonymic occupational name for a maker or player of bass viols, from Polish, Ukrainian, and Yiddish bas ‘bass viol’.German : see Basse.
Female
English
English pet form of Greek Barbara, BABE means "foreign; strange." Compare with masculine Babe.
Boy/Male
Indian
Base
Surname or Lastname
French and Swiss (French part)
French and Swiss (French part) : metonymic occupational name for a baker, from Old French bise ‘large round loaf’.English and Scottish : perhaps a variant of Biss. Compare Beese, Bice, Buys, Buys.
Male
English
Short form of English Basil, BAS means "king" or "basil (the herb)."
Surname or Lastname
English and Dutch
English and Dutch : variant spelling of Bay.
Surname or Lastname
English and Scottish
English and Scottish : from the Middle English personal name Bat(t)e, a pet form of Bartholomew.
Female
Yiddish
(בַ×ש×ֶע) Variant spelling of Yiddish Basha, BASHE means "daughter of God."
Surname or Lastname
German
German : nickname for a swift runner or a timorous person, from Middle High German, Middle Low German hase ‘hare’.Jewish (Ashkenazic) : ornamental name from German Hase ‘hare’.English : from a Middle English nickname, Hase, from Old English hÄs ‘harsh, raucous, or hoarse voice’.Japanese : usually written with characters meaning ‘long valley’; habitational name from a place in Yamato (now Nara prefecture). Listed in the Shinsen shÅjiroku. Some bearers are descended from the Taira clan; they are found mainly in eastern Japan. Also pronounced Nagaya and Nagatani; the original pronunciation was Hatsuse, meaning ‘beginning of the strait’.
Boy/Male
Tamil
Base
Male
Hindi/Indian
Variant form of Hindi Vasu, BASU means "dweller."
Boy/Male
Muslim
Eye-sight, Wisdom, Sight
Surname or Lastname
English
English : variant of Bach 3.Americanized spelling of German or Jewish Basch.Americanized spelling of Slovenian Baš (see Bas 3).
Boy/Male
Muslim
Smiling
Male
Hawaiian
Hawaiian name BANE means "long-awaited child."
BASE ORDERABLE-MATROID
BASE ORDERABLE-MATROID
Boy/Male
Hindu
Girl/Female
Arabic, Muslim
Dove; Pigeon
Girl/Female
Indian, Telugu
Ray of Moon
Girl/Female
Hindu
Goddess Durga
Girl/Female
Finnish, German
House Owner; Mistress of All
Male
Greek
(ΚÎφαλος) Greek name KEPHALOS means "head." In mythology, this is the name of the faithful husband of Prokris.
Girl/Female
Hindu
Boy/Male
Arabic, Hebrew
The Biblical Abel is the English Language Equivalent; Abel; Adam's Younger Son
Girl/Female
Christian, French, German, Greek, Latin
Pearl
Girl/Female
Tamil
Suganthi | ஸà¯à®•à®¨à®¤à¯€Â
Sowgandhika pushpam, A flower belonging to Deva lokam
BASE ORDERABLE-MATROID
BASE ORDERABLE-MATROID
BASE ORDERABLE-MATROID
BASE ORDERABLE-MATROID
BASE ORDERABLE-MATROID
n.
A low, or deep, sound. (Mus.) (a) The lowest part; the deepest male voice. (b) One who sings, or the instrument which plays, base.
n.
A rustic play; -- called also prisoner's base, prison base, or bars.
imp. & p. p.
of Base
a.
Of little, or less than the usual, height; of low growth; as, base shrubs.
n., a., & v.
See Base.
n.
A box, sheath, or covering; as, a case for holding goods; a case for spectacles; the case of a watch; the case (capsule) of a cartridge; a case (cover) for a book.
pl.
of Bass
a.
Alloyed with inferior metal; debased; as, base coin; base bullion.
n.
The number from which a mathematical table is constructed; as, the base of a system of logarithms.
n.
Same as Prison base.
a.
Not held by honorable service; as, a base estate, one held by services not honorable; held by villenage. Such a tenure is called base, or low, and the tenant, a base tenant.
n.
To put on a base or basis; to lay the foundation of; to found, as an argument or conclusion; -- used with on or upon.
a.
To abase; to let, or cast, down; to lower.
a.
Morally low. Hence: Low-minded; unworthy; without dignity of sentiment; ignoble; mean; illiberal; menial; as, a base fellow; base motives; base occupations.
n.
Species of Serranus, the sea bass and rock bass. See Sea bass.
a.
Having a base, or having as a base; supported; as, broad-based.
n.
The bottom of anything, considered as its support, or that on which something rests for support; the foundation; as, the base of a statue.
a.
Deep or grave in sound; as, the base tone of a violin.