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Combinatorial representation of a graph on an orientable surface
A combinatorial map is a combinatorial representation of a graph on an orientable surface. A combinatorial map may also be called a combinatorial embedding
Combinatorial_map
Homotopic map of a graph
of here as a 1-dimensional cell complex) a combinatorial map is a continuous map f : Γ → Γ such that: The map f takes vertices to vertices. For every edge
Train_track_map
Graph that can be embedded in the plane
means of stereographic projection. Plane graphs can be encoded with combinatorial maps or rotation systems. An equivalence class of topologically equivalent
Planar_graph
generalized map is a topological model which allows one to represent and to handle subdivided objects. This model was defined starting from combinatorial maps in
Generalized_map
Topics referred to by the same term
overlapping edges Planar graph, a graph drawn on a planar surface Maps of manifolds Combinatorial map, a representation of a topological subdivision of the plane
Map_(disambiguation)
Graph data structure
complexity. Quad-edge data structure Doubly linked face list Winged edge Combinatorial map Muller, D. E.; Preparata, F. P. (1978). "Finding the Intersection
Doubly_connected_edge_list
Proofs in enumerative combinatorics
the term combinatorial proof is often used to mean either of two types of mathematical proof: A proof by double counting. A combinatorial identity is
Combinatorial_proof
Method of representing a 3D object by defining the limits of its volume
model constructed by planar surfaces only Bézier curve Bézier surface Combinatorial maps Coons surface Function representation Geometric modeling kernel NURBS
Boundary_representation
Planar maps require at most four colors
theorem, or the four color map theorem, states that no more than four colors are required to color the regions of any map so that no two adjacent regions
Four_color_theorem
Map distorting size to show another value
cartogram (also called a value-area map or an anamorphic map, the latter common among German speakers) is a thematic map of a set of features (countries,
Cartogram
Generalization of linear assignment problem from two to multiple dimensions
The multidimensional assignment problem (MAP) is a fundamental combinatorial optimization problem which was introduced by William Pierskalla. This problem
Multidimensional assignment problem
Multidimensional_assignment_problem
Numbering of combinations of items
In mathematics, and in particular in combinatorics, the combinatorial number system of degree k (for some positive integer k), also referred to as combinadics
Combinatorial_number_system
Operation in combinatorial game theory
In the mathematics of combinatorial games, the sum or disjunctive sum of two games is a game in which the two games are played in parallel, with each
Disjunctive_sum
Theory in mathematics
In combinatorial mathematics, the theory of combinatorial species is an abstract, systematic method for deriving the generating functions of discrete structures
Combinatorial_species
Branch of geometry that studies combinatorial properties and constructive methods
Discrete geometry and combinatorial geometry are branches of geometry that study combinatorial properties and constructive methods of discrete geometric
Discrete_geometry
Data structure for representing polygon meshes in computer memory
Edge *edge; } class Face { Edge *edge; } Quad-edge data structure Combinatorial maps Doubly connected edge list Doubly linked face list Half-edge data
Winged_edge
MI, Kim S, Weinstein JN, Pommier Y. Depicting combinatorial complexity with the molecular interaction map notation. Mol Syst Biol. 2006;2:51. (2006) doi:10
Molecular_Interaction_Maps
Topics referred to by the same term
algebraic combinatorics Quasisymmetric maps in complex analysis or metric spaces Quasi-symmetric designs in combinatorial design theory Quasisymmetry, a concept
Quasisymmetric
Field of mathematics and science based on non-linear systems and initial conditions
on initial conditions property, such as combinatorial chaos (I.e. applying recursively a discrete combinatorial action). This is also comparable and similar
Chaos_theory
Mapping senses to the central nervous system
of topographic maps in the visual cortices, including retinotopic maps, ocular dominance maps and orientation maps. Retinotopic maps are the easiest
Topographic map (neuroanatomy)
Topographic_map_(neuroanatomy)
Intersection graph representing regions on the Euclidean plane
between which the chess king can move. Map graphs can be represented combinatorially as the "half-squares of planar bipartite graphs". That is, let G =
Map_graph
Way to divide polygon into smaller parts
exactly when the subdivision rule is "conformal", as described in the combinatorial Riemann mapping theorem. Applications of subdivision rules. Islamic
Finite_subdivision_rule
Technique for proving sets have equal size
elements, or that the sets in two combinatorial classes have equal size, by finding a bijective function that maps one set one-to-one onto the other.
Bijective_proof
Process in digital electronics and integrated circuit design
McGraw-Hill. ISBN 0-07-016333-2. (NB. Chapters 7–9 cover combinatorial two-level, combinatorial multi-level, and respectively sequential circuit optimization
Logic_optimization
Z-module homomorphism
In algebra, an additive map, Z {\displaystyle \mathbb {Z} } -linear map or additive function is a function f {\displaystyle f} that preserves the addition
Additive_map
Natural number
That there are maps for which three colors are not sufficient) Molitierno, Jason J. (19 April 2016). Applications of Combinatorial Matrix Theory to
4
Theory in number theory
theory has since grown in varieties (absolute, mono-anabelian, and combinatorial versions) and with multiple interactions with number theory, algebraic
Anabelian_geometry
bound Bruss algorithm: see odds algorithm Chain matrix multiplication Combinatorial optimization: optimization problems where the set of feasible solutions
List_of_algorithms
NP-hard problem in combinatorial optimization
exactly once and returns to the origin city?" It is an NP-hard problem in combinatorial optimization, important in theoretical computer science and operations
Travelling_salesman_problem
Area of discrete mathematics
polynomial on graph connectivity. Geometric graph theory focuses on combinatorial and geometric properties of a graph that is drawn in a plane with straight-line
Graph_theory
Discrete dynamical system on polygons in the projective plane and on their moduli space
through different points of view: through the scaling symmetry, as combinatorial objects, or as some determinants. The one involving scaling symmetry
Pentagram_map
Selection in a particular order
In combinatorial mathematics, a partial permutation, or sequence without repetition, on a finite set S is a bijection between two specified subsets of
Partial_permutation
Undirected graph with 14 vertices
(2004), "Graphs and digraphs with all 2-factors isomorphic", Journal of Combinatorial Theory, Series B, 92 (2): 395–404, doi:10.1016/j.jctb.2004.09.004, MR 2099150
Heawood_graph
start-left edges until the original edge is reached. Winged edge Combinatorial maps Doubly connected edge list Stolfi, Jorge; Guibas, Leonidas J. (April
Quad-edge
Majorcan writer and philosopher (c. 1232 – 1316)
nationalities. The Art consists of a set of general principles and combinatorial operations. It is illustrated with diagrams. A prolific writer, he is
Ramon_Llull
Concept in the mathematics of paper folding
stamps", Journal of Combinatorial Theory, 5 (2): 135–152, doi:10.1016/S0021-9800(68)80048-1, MR 0228364 Lunnon, W. F. (1968), "A map-folding problem", Mathematics
Map_folding
Symmetric tessellation of a closed surface
regular maps of small genus", Journal of Combinatorial Theory, Series B, 81 (2): 224–242, doi:10.1006/jctb.2000.2008. Nedela, Roman (2007), Maps, Hypermaps
Regular_map_(graph_theory)
Motor protein in humans
Tan TC, Oclaman JM, Han JS, Simó S, Niwa S, et al. (April 2020). "A Combinatorial MAP Code Dictates Polarized Microtubule Transport". Developmental Cell
KIF1A
In mathematics, invariant of square matrices
\end{aligned}}} cf. Cayley-Hamilton theorem. Such expressions are deducible from combinatorial arguments, Newton's identities, or the Faddeev–LeVerrier algorithm.
Determinant
Number line and triangular tiling's symmetry mathematical structure
is an infinite extension of a finite symmetric group. Many important combinatorial properties of the finite symmetric groups can be extended to the corresponding
Affine_symmetric_group
Representation of mathematical space
complexes are objects of combinatorial character and therefore one can assign them quantities arising from their combinatorial pattern, for instance, the
Triangulation_(topology)
Data structure for approximate set membership
from which set elements are taken. It relies on existing non-adaptive combinatorial group testing scheme by Eppstein, Goodrich and Hirschberg. Unlike the
Bloom_filter
Roli's cube, a skew polytope constructed on the skeleton of the 4-cube. Combinatorial chirality refers to the properties of an abstract polytope regardless
Chiral_polytope
geodesic map, because hyperbolic geodesics in the Klein model are (Euclidean) straight line segments. Ambartzumian, R. V. (1982). Combinatorial integral
Geodesic_map
Sequence of n-tuples of integers
sequences in higher dimensions" in INTEGERS: ELECTRONIC JOURNAL OF COMBINATORIAL NUMBER THEORY 7 (2007) [1] S Lettieri, JG Stevens, DM Thomas, "Characteristic
Ducci_sequence
Theorem in homotopy theory
is part of the subject of shape theory. Whitehead, J. H. C. (1949). "Combinatorial homotopy. I". Bulletin of the American Mathematical Society. 55 (3):
Whitehead_theorem
Study of discrete mathematical structures
from topology and algebraic topology/combinatorial topology in combinatorics. Design theory is a study of combinatorial designs, which are collections of
Discrete_mathematics
Graph describing a topological embedding
ISBN 0-387-94557-1, MR 1367285 Lins, Sóstenes (1982), "Graph-encoded maps", Journal of Combinatorial Theory, Series B, 32 (2): 171–181, doi:10.1016/0095-8956(82)90033-8
Graph-encoded_map
Topological space that locally resembles Euclidean space
bracket. A closely related type of manifold is a contact manifold. A combinatorial manifold is a kind of manifold which is discretization of a manifold
Manifold
Mathematical construction used in homotopy theory
the simplicial set. Indeed, one may view a simplicial set as a purely combinatorial construction designed to capture the essence of a topological space
Simplicial_set
Intelligence of machines
insufficient for solving large reasoning problems because they experience a "combinatorial explosion": They become exponentially slower as the problems grow. Even
Artificial_intelligence
Quadratic polynomial
sets combinatorially, replacing the dynamical plane by the unit circle, rays by angles, and the quadratic polynomial by the doubling modulo one map." Virpi
Complex_quadratic_polynomial
Any algorithm which solves the search problem
satisfaction, such as: The map coloring problem Filling in a sudoku or crossword puzzle In game theory and especially combinatorial game theory, choosing the
Search_algorithm
Mathematical device used in proof of the four colour theorem
of Combinatorial Theory, Series B. 70 (1): 2–44. doi:10.1006/jctb.1997.1750. ISSN 0095-8956. Appel, Kenneth; Haken, Wolfgang (1989), Every Planar Map is
Kempe_chain
Finite, ordered collection of items
over time Reingold, Edward; Nievergelt, Jurg; Narsingh, Deo (1977). Combinatorial Algorithms: Theory and Practice. Englewood Cliffs, New Jersey: Prentice
List_(abstract_data_type)
Branch of mathematics
retains a combinatorial nature that allows for computation (often with a much smaller complex). An older name for the subject was combinatorial topology
Algebraic_topology
Mathematics concept
in a Hadamard matrix represents two perpendicular vectors, while in combinatorial terms, it means that each pair of rows has matching entries in exactly
Hadamard_matrix
Decision problem pertaining to equivalence of expressions
word problem takes the form of a normal form theorem and algorithm that maps every element in an equivalence class of expressions to a single encoding
Word_problem_(mathematics)
American research software engineer
71).aspx. Applied Combinatorial Mathematics, Ed. E. F. Beckenbach (1964), pp. 27−30; a previous description of a combinatorial representation of integers
James_D._McCaffrey
Abelian group equipped with compatible ring action on both sides
bialgebras. Profunctor Street, Ross (20 Mar 2003). "Categorical and combinatorial aspects of descent theory". arXiv:math/0303175. Jacobson, N. (1989)
Bimodule
Polygon constructed from another
combinatorially, there is a single family of polygons (given by number of sides); geometric duality of polygons is more varied, as are combinatorial dual
Dual_polygon
Mathematical object
subset of a set in the family is also in the family. It is a purely combinatorial description of the geometric notion of a simplicial complex. For example
Abstract_simplicial_complex
Anders (2003-04-01). "Nerves, fibers and homotopy groups". Journal of Combinatorial Theory. Series A. 102 (1): 88–93. doi:10.1016/S0097-3165(03)00015-3
Homotopical_connectivity
Protein-coding gene in the species Homo sapiens
Tan TC, Oclaman JM, Han JS, Simó S, Niwa S, et al. (April 2020). "A Combinatorial MAP Code Dictates Polarized Microtubule Transport". Developmental Cell
Ensconsin
Well-quasi-ordering of finite trees
{\text{TREE}}(3)} suddenly explodes to a value so large that many other "large" combinatorial constants, such as Friedman's n ( 4 ) {\displaystyle n(4)} and Graham's
Kruskal's_tree_theorem
Mathematical models of strategic interactions
called combinatorial games. Examples include chess, shogi, and Go. Games that involve imperfect information may also have a strong combinatorial character
Game_theory
Numbers obtained by adding the two previous ones
memoization). Most identities involving Fibonacci numbers can be proved using combinatorial arguments using the fact that F n {\displaystyle F_{n}} can be interpreted
Fibonacci_sequence
Smallest convex set containing a given set
functions. Convex hulls have wide applications in mathematics, statistics, combinatorial optimization, economics, geometric modeling, and ethology. Related structures
Convex_hull
Type of topological space
categorical properties than simplicial complexes, but still retain a combinatorial nature that allows for computation (often with a much smaller complex)
CW_complex
Property of a mathematical space
Riemannian Symplectic Discrete differential Complex Finite Discrete/Combinatorial Digital Convex Computational Fractal Incidence Noncommutative geometry
Dimension
Algorithm for finding shortest paths
Search or a Case Against Dijkstra's Algorithm. Proc. 4th Int'l Symp. on Combinatorial Search. Archived from the original on 18 February 2020. Retrieved 12
Dijkstra's_algorithm
Concept in mathematics
also referred to as the RSK correspondence or RSK algorithm, is a combinatorial bijection between matrices A with non-negative integer entries and pairs
Robinson–Schensted–Knuth correspondence
Robinson–Schensted–Knuth_correspondence
Branch of mathematics that studies abstract algebraic structures
finite-dimensional semisimple Lie algebras, and share many of their combinatorial properties. This means that they have a class of representations that
Representation_theory
the underlying space) belonging to half or more of the sets Give a combinatorial interpretation of the Kronecker coefficients The size m ( n ) {\displaystyle
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Type of plane partition
be represented in a combinatorial way using their vertices, sides, two-dimensional faces, etc. Sometimes the induced combinatorial structure is referred
Voronoi_diagram
Theorem in topology
Michael J. (1982). "A constructive proof of Tucker's combinatorial lemma". Journal of Combinatorial Theory. Series A. 30 (3): 321–325. doi:10.1016/0097-3165(81)90027-3
Borsuk–Ulam_theorem
Array of numbers
Stevanović, Dragan (2018), Encinas, Andrés M.; Mitjana, Margarida (eds.), Combinatorial Matrix Theory, Advanced Courses in Mathematics. CRM Barcelona, Birkhäuser/Springer
Matrix_(mathematics)
Analysis of datasets using techniques from topology
independence configurations analog to homotopical links. Because of its combinatorial complexity, only the simplicial subcase of the cohomology and of information
Topological_data_analysis
Class of artificial neural networks
citation networks, molecular biology, chemistry, physics and NP-hard combinatorial optimization problems. Open source libraries implementing GNNs include
Graph_neural_network
Australian and American mathematician (born 1975)
Green) for: "their exceptional achievements in the area of analytic and combinatorial number theory" 2005 – Levi L. Conant Prize (with Allen Knutson) for:
Terence_Tao
Problem in social choice
Combinatorial participatory budgeting, also called indivisible participatory budgeting or budgeted social choice, is a problem in social choice. There
Combinatorial participatory budgeting
Combinatorial_participatory_budgeting
Mathematical optimization problem restricted to integers
A Tutorial on Integer Programming Conference Integer Programming and Combinatorial Optimization, IPCO The Aussois Combinatorial Optimization Workshop
Integer_programming
Formulation of matroids using closure operators
Pregeometry, and in full combinatorial pregeometry, are essentially synonyms for "matroid". They were introduced by Gian-Carlo Rota with the intention
Pregeometry_(model_theory)
Fractal named after mathematician Benoit Mandelbrot
Mandelbrot set. These rays can be used to study the Mandelbrot set in combinatorial terms and form the backbone of the Yoccoz parapuzzle. The boundary of
Mandelbrot_set
Quantum Computing company in Boston, Massachusetts
software for simulating systems of Rydberg atoms and finding solutions to combinatorial optimization problems. QuEra Computing was founded by Mikhail Lukin
QuEra
Property of being an even or odd number
odd function contains only terms whose exponent is an odd number. In combinatorial game theory, an evil number is a number that has an even number of 1's
Parity_(mathematics)
intersections have certain properties. Combinatorial game theory Combinatorial geometry see discrete geometry Combinatorial group theory the theory of free groups
Glossary of areas of mathematics
Glossary_of_areas_of_mathematics
Classic problem in graph theory
theory, a subject now generally regarded as a branch of combinatorics. Combinatorial problems of other types such as the enumeration of permutations and
Seven_Bridges_of_Königsberg
Iterative simulation method
cope with binary problems (or more generally discrete ones), or even combinatorial ones. One approach is to redefine the operators based on sets. Artificial
Particle_swarm_optimization
Result in combinatorics and graph theory
gives a necessary and sufficient condition for an object to exist: The combinatorial formulation answers whether a finite collection of sets has a transversal—that
Hall's_marriage_theorem
Rational number sequence
a combinatorial fact comes to surface which explains the vanishing of the Bernoulli numbers at odd index. Let Sn,m be the number of surjective maps from
Bernoulli_number
Argentine writer (1899–1986)
processing of large volumes of data find a conceptual precursor in the combinatorial structure of The Library of Babel. In all these cases, references to
Jorge_Luis_Borges
Block design in combinatorial mathematics
In combinatorial mathematics, a Steiner system (named after Jakob Steiner) is a type of block design, specifically a t-design with λ = 1 and t = 2 or
Steiner_system
Construction in combinatorial group theory
In the area of mathematics called combinatorial group theory, the Schreier coset graph is a graph associated with a group G, a generating set of G, and
Schreier_coset_graph
Private university in Pasadena, California
mathematician noted for his contributions to number theory and the combinatorial-algebraic-analytic investigations of polynomials. Narendra Karmarkar
California Institute of Technology
California_Institute_of_Technology
Infinitely detailed mathematical structure
the image of the Hilbert map in R2 are both 2. Note, however, that the topological dimension of the graph of the Hilbert map (a set in R3) is 1. Mandelbrot
Fractal
Reasoning for mathematical statements
for testing primality) are as good as genuine mathematical proofs. A combinatorial proof establishes the equivalence of different expressions by showing
Mathematical_proof
American mathematician
Cannon–Thurston map for punctured-surface groups. Mathematische Zeitschrift, vol. 255 (2007), no. 1, pp. 35–76. James W. Cannon. The combinatorial Riemann mapping
James_W._Cannon
Change in the heritable traits of populations
ISSN 0066-4197. PMID 14616063. Walsh, Timothy R. (October 2006). "Combinatorial genetic evolution of multiresistance". Current Opinion in Microbiology
Evolution
Branch of mathematics that studies sets
Moore space question was eventually proved to be independent of ZFC. Combinatorial set theory concerns extensions of finite combinatorics to infinite sets
Set_theory
COMBINATORIAL MAP
COMBINATORIAL MAP
Surname or Lastname
English
English : topographic name for someone who lived by a maple tree, Middle English mapel (Old English mapul).French : from Latin mapula, a diminutive of mappa ‘piece of cloth’, ‘napkin’, presumably a metonymic occupational name for a cloth merchant or a weaver.
Girl/Female
Tamil
King of stars, Map
Boy/Male
Hindu
King of stars, Map
Surname or Lastname
English
English : variant of Maple.
Boy/Male
Anglo Saxon
God of youth and music.
Boy/Male
Tamil
King of stars, Map
Female
Native American
Native American Sioux name MAPIYA means "sky."
Surname or Lastname
German
German : nickname for someone with boils or lumpy skin, or perhaps for a hunchback, from Middle High German maser ‘lump’, ‘protuberance’.German and English : from Middle High Germanmaser, Middle English maser ‘maple-wood bowl’ (Old French masere, of Germanic origin), hence a metonymic occupational name for a wood-turner producing such ware.English : variant spelling of Macer, an occupational name for a mace-bearer, from Old French maissier, massier, a derivative of Old French masse ‘mace’.German (Maaser) : pet form of Thomas.
Surname or Lastname
English
English : variant spelling of Maple.
Surname or Lastname
English (Norfolk)
English (Norfolk) : metronymic from the medieval female personal name Mab(be) (see Mapp 1).
Surname or Lastname
English
English : of uncertain origin, perhaps, as Reaney suggests, from a pet form of the Old English personal name Wippa, or perhaps a topographic name for someone who lived by a whipple tree, whatever that may have been. Chaucer lists whippletree (probably a kind of dogwood) along with maple, thorn, beech, hazel, and yew.Matthew Whipple came from England to Ipswich, MA, in about 1638. His descendent William Whipple (1730–85) born in Kittery, ME, was a signer of the Declaration of Independence.
Surname or Lastname
English
English : habitational name from Great and Little Linford in Buckinghamshire or Lynford in Norfolk. The former may have Old English hlyn ‘maple’ as its first element; the latter is more likely to contain līn ‘flax’. The second element in each case is Old English ford ‘ford’.
Girl/Female
Indian, Marathi
Star; Map
Surname or Lastname
English (Somerset and Gloucester)
English (Somerset and Gloucester) : unexplained. Perhaps a habitational name from a lost or unidentified place.
Surname or Lastname
English
English : metronymic from the medieval female personal name Mab(be) (see Mapp).
Girl/Female
Hindu
King of stars, Map
Surname or Lastname
English and French
English and French : from the medieval personal name Masselin. This originated as an Old French pet form of Germanic names with the first element mathal ‘speech’, ‘counsel’. However, it was later used as a pet form of Matthew. Compare Mace. A feminine form, Mazelina, was probably originally a pet form of Matilda.English and French : possibly a metonymic occupational name for a maker of wooden bowls, from Middle English, Old French maselin ‘bowl or goblet of maple wood’ (a diminutive of Old French masere ‘maple wood’, of Germanic origin). In some cases it may derive from the homonymous dialect terms maslin, one of which means ‘brass’ (Old English mæslen, mæstling), the other ‘mixed grain’ (Old French mesteillon).
Surname or Lastname
English
English : from a variant of the medieval female personal name Mab(be), a short form of Middle English, Old French Amabel (from Latin amabilis ‘loveable’). This has survived into the 20th century in the short form Mabel.English : possibly from an unattested Old English male personal name, Mappa.English : from Old Welsh map, mab ‘son’, which was used as a distinguishing epithet.
Surname or Lastname
English
English : from a short form of the female personal name Mabel (see Mapp).
Girl/Female
Hindu, Indian
Maple Tree
COMBINATORIAL MAP
COMBINATORIAL MAP
Boy/Male
Hindu, Indian, Marathi
Lord of Kaashi
Boy/Male
Indian, Sanskrit
Shining Forth; Radiant
Girl/Female
Arabic, Muslim
First; Winner; Feminine of Sabiq
Girl/Female
Indian
Firm
Surname or Lastname
English
English : variant spelling of Francom.
Boy/Male
Bengali, Hindu, Indian, Kannada, Malayalam, Marathi, Mythological, Sanskrit, Tamil, Telugu, Traditional
Peace Loving; Wholesome; Name of Indian King in Mahabharat; Whole; A King of Hastinapura in the Epic of Mahabharata; Father of Bhishma
Girl/Female
Indian, Sanskrit, Telugu
Lotus Eyed; One who has the Eyes of Lotus
Boy/Male
British, English
Long Meadow
Boy/Male
Australian, German, Polish
Great Glory
Boy/Male
Hindu, Indian, Kannada, Tamil
Accomplished One
COMBINATORIAL MAP
COMBINATORIAL MAP
COMBINATORIAL MAP
COMBINATORIAL MAP
COMBINATORIAL MAP
n.
A tree of the genus Acer, including about fifty species. A. saccharinum is the rock maple, or sugar maple, from the sap of which sugar is made, in the United States, in great quantities, by evaporation; the red or swamp maple is A. rubrum; the silver maple, A. dasycarpum, having fruit wooly when young; the striped maple, A. Pennsylvanium, called also moosewood. The common maple of Europe is A. campestre, the sycamore maple is A. Pseudo-platanus, and the Norway maple is A. platanoides.
imp. & p. p.
of Map
n.
That which runs or flows in the course of a certain operation, or during a certain time; as, a run of must in wine making; the first run of sap in a maple orchard.
n.
A description or plan of the heavens and the heavenly bodies; the construction of celestial maps, globes, etc.; uranology.
n.
Relative dimensions, without difference in proportion of parts; size or degree of the parts or components in any complex thing, compared with other like things; especially, the relative proportion of the linear dimensions of the parts of a drawing, map, model, etc., to the dimensions of the corresponding parts of the object that is represented; as, a map on a scale of an inch to a mile.
a.
Of or pertaining to an order of trees and shrubs (Sapindaceae), including the (typical) genus Sapindus, the maples, the margosa, and about seventy other genera.
n.
A dry, indehiscent, usually one-seeded, winged fruit, as that of the ash, maple, and elm; a key or key fruit.
n.
Anything which represents graphically a succession of events, states, or acts; as, an historical map.
n.
A series of spaces marked by lines, and representing proportionately larger distances; as, a scale of miles, yards, feet, etc., for a map or plan.
n.
A zodiacal constellation, represented on maps and globes as a centaur shooting an arrow.
p. pr. & vb. n.
of Map
a.
Having or consisting of lines resembling a map; as, the maplike figures in which certain lichens grow.
n.
Thick sirup made by boiling down the sap of the sugar maple, and then cooling.
n.
A large European species of maple (Acer Pseudo-Platanus).
n.
A small tube or spout inserted in a tree for conducting sap, as from a sugar maple.
v. t.
To represent by a map; -- often with out; as, to survey and map, or map out, a county. Hence, figuratively: To represent or indicate systematically and clearly; to sketch; to plan; as, to map, or map out, a journey; to map out business.
n.
The moosewood, or striped maple. See Maple.
n.
The making, or study, of maps.