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Vector-valued function of multiple vectors, linear in each argument
algebra, a multilinear map is a function of several variables that is linear separately in each variable. More precisely, a multilinear map is a function
Multilinear_map
Multilinear map that is 0 whenever arguments are linearly dependent
In mathematics, more specifically in multilinear algebra, an alternating multilinear map is a multilinear map with all arguments belonging to the same
Alternating_multilinear_map
A cryptographic n {\displaystyle n} -multilinear map is a kind of multilinear map, that is, a function e : G 1 × ⋯ × G n → G T {\displaystyle e:G_{1}\times
Cryptographic_multilinear_map
Algebraic object with geometric applications
object that describes a multilinear relationship between sets of algebraic objects associated with a vector space. Tensors may map between different objects
Tensor
Map from multiple vectors to an underlying field of scalars, linear in each argument
abstract algebra and multilinear algebra, a multilinear form on a vector space V {\displaystyle V} over a field K {\displaystyle K} is a map f : V k → K {\displaystyle
Multilinear_form
Type of polynomial
monomial. Multilinear polynomials can be understood as a multilinear map (specifically, a multilinear form) applied to the vectors [1 x], [1 y], etc. The general
Multilinear_polynomial
Mathematical operation
extend the notion of pullback to tensors of arbitrary rank, i.e., to multilinear maps on W taking values in a tensor product of r copies of W, i.e., W ⊗
Pullback (differential geometry)
Pullback_(differential_geometry)
Topics referred to by the same term
vector space to the underlying field Multilinear map, a type of mathematical function between vector spaces Multilinear algebra, a field of mathematics This
Multilinear
Function of two vectors linear in each argument
the proper term is multilinear. For non-commutative rings R and S, a left R-module M and a right S-module N, a bilinear map is a map B : M × N → T with
Bilinear_map
In mathematics, invariant of square matrices
the characterization of the determinant as the unique alternating multilinear map that satisfies det ( I ) = 1 {\displaystyle \det(I)=1} still holds
Determinant
Branch of mathematics
Multilinear algebra is the study of functions with multiple vector-valued arguments, with the functions being linear maps with respect to each argument
Multilinear_algebra
Mathematical operation on vector spaces
they are seen as multilinear maps (see also tensors as multilinear maps). Thus the components of the tensor product of multilinear forms can be computed
Tensor_product
associated statistics are called U-statistics. Alternating multilinear map – Multilinear map that is 0 whenever arguments are linearly dependent Antisymmetric
Symmetrization
Algebraic structure
space. Let S q ( V ) {\displaystyle S^{q}(V)} denote the vector space of multilinear functionals λ : ∏ 1 q V → k {\displaystyle \textstyle \lambda :\prod
Ring_of_polynomial_functions
Hypothesis in computational complexity theory
relies on the yet stronger Decisional Diffie–Hellman (DDH) variant). A multilinear map is a function e : G 1 , … , G n → G T {\displaystyle e:G_{1},\dots
Computational hardness assumption
Computational_hardness_assumption
Type of cryptographic software obfuscation
strict versions of multilinear maps, constructing a candidate based on maps of degree up to 30, and eventually a candidate based on maps of degree up to
Indistinguishability obfuscation
Indistinguishability_obfuscation
Property of math operations which yield an inverse result when arguments' order reversed
{\displaystyle x_{i}} are equal; such a map is said to be alternating. Conversely, using multilinearity, any alternating map is anticommutative. In the binary
Anticommutative_property
Algebra associated to any vector space
\colon V^{m}\to K} are two anti-symmetric maps. As in the case of tensor products of multilinear maps, the number of variables of their exterior product
Exterior_algebra
Space with topology generated by convex sets
∏ i = 1 n X i → Y {\displaystyle M:\prod _{i=1}^{n}X_{i}\to Y} be a multilinear operator that is linear in each of its n {\displaystyle n} coordinates
Locally convex topological vector space
Locally_convex_topological_vector_space
Branch of mathematics
the vector space V* consisting of linear maps f : V → F where F is the field of scalars. Multilinear maps T : Vn → F can be described via tensor products
Linear_algebra
Type of derivative in differential geometry
be a tensor field of type (p, q). Consider T to be a differentiable multilinear map of smooth sections α1, α2, ..., αp of the cotangent bundle T∗M and
Lie_derivative
Concept in algebra
definition is a discriminant for a singular point on a scalar valued multilinear map. Cayley's first hyperdeterminant is defined only for hypercubes having
Hyperdeterminant
Form of encryption that allows computation on ciphertexts
(2016). "An algorithm for NTRU problems and cryptanalysis of the GGH multilinear map without a low-level encoding of zero". LMS Journal of Computation and
Homomorphic_encryption
Concept in machine learning
can be trained. A tensor is by definition a multilinear map. In mathematics, this may express a multilinear relationship between sets of algebraic objects
Tensor_(machine_learning)
Specification of a derivative along a tangent vector of a manifold
be a tensor field of type (p, q). Consider T to be a differentiable multilinear map of smooth sections α1, α2, ..., αq of the cotangent bundle T∗M and
Covariant_derivative
In multilinear algebra, applying a map that is the tensor product of linear maps to a tensor is called a multilinear multiplication. Let F {\displaystyle
Multilinear_multiplication
Derivative defined on normed spaces
and for each x ∈ U {\displaystyle x\in U} there exists a continuous multilinear map A {\displaystyle A} of n + 1 {\displaystyle n+1} arguments such that
Fréchet_derivative
Sum of elements on the main diagonal
map as the sum of rank-one linear maps. As such, the proof may be written in the notation of tensor products. Then one may consider the multilinear map
Trace_(linear_algebra)
Mathematical function, in linear algebra
In mathematics, and more specifically in linear algebra, a linear map (or linear mapping) is a particular kind of function between vector spaces, which
Linear_map
Tensor in differential geometry
for each point p ∈ M {\displaystyle p\in M} , it gives rise to a (multilinear) map: R p : T p M × T p M × T p M → T p M . {\displaystyle \operatorname
Ricci_curvature
Expression that may be integrated over a region
universal property of exterior powers, this is equivalently an alternating multilinear map: β p : ⨁ n = 1 k T p M → R . {\displaystyle \beta _{p}\colon \bigoplus
Differential_form
Vector operator in vector calculus
Cartesian product of vector spaces on which the tensor is given as a multilinear map V × V × ... × V → R. But equally well defined choices for the divergence
Divergence
Assignment of a tensor continuously varying across a region of space
fields!) on M as multilinear maps on vectors and covectors, we can regard general (k,l) tensor fields on M as C∞(M)-multilinear maps defined on k copies
Tensor_field
Topics referred to by the same term
link Alternating map, a multilinear map that is zero whenever any two of its arguments are equal Alternating operator, a multilinear map in algebra Alternating
Alternating
Operation that pairs a left and a right R-module into an abelian group
p, q ≥ 1, for each (k, l) with 1 ≤ k ≤ p, 1 ≤ l ≤ q, there is an R-multilinear map: E p × E ∗ q → T q − 1 p − 1 , ( X 1 , … , X p , ω 1 , … , ω q ) ↦
Tensor_product_of_modules
Description in Riemannian geometry
λ g ) {\displaystyle (M,\lambda g)} . The curvature tensor, as a multilinear map T p M × T p M × T p M → T p M , {\displaystyle T_{p}M\times T_{p}M\times
Sectional_curvature
tensor. Mathematically, tensors are generalised linear operators — multilinear maps. As such, the ideas of linear algebra are employed to study tensors
Mathematics of general relativity
Mathematics_of_general_relativity
Polynomial of the elements of a matrix
sense. If one views the permanent as a map that takes n vectors as arguments, then it is a multilinear map and it is symmetric (meaning that any order
Permanent_(mathematics)
Algebra where x(xy)=(xx)y and (yx)x=y(xx)
is a trilinear map given by [ x , y , z ] = ( x y ) z − x ( y z ) {\displaystyle [x,y,z]=(xy)z-x(yz)} . By definition, a multilinear map is alternating
Alternative_algebra
Algebra with a graded anticommutativity property on multiplication
ring R in which 2 is not a zero divisor is alternating. Alternating multilinear map Exterior algebra Graded-symmetric algebra Supercommutative algebra
Alternating_algebra
Whenever certain curvatures are pointwise constant then they must be globally constant
\operatorname {sec} _{p}(V)} the Riemann curvature tensor, which is a multilinear map Rm p : T p M × T p M × T p M × T p M → R {\displaystyle \operatorname
Schur's lemma (Riemannian geometry)
Schur's_lemma_(Riemannian_geometry)
Calculus of functions generalization
{\displaystyle f^{(k)}=(f^{(k-1)})'} is a map from X {\displaystyle X} to the space of k {\displaystyle k} -multilinear maps ( R n ) k → R m {\displaystyle (\mathbb
Calculus_on_Euclidean_space
Polynomial whose nonzero terms all have the same degree
form Graded algebra Hilbert series and Hilbert polynomial Multilinear form Multilinear map Polarization of an algebraic form Schur polynomial Symbol of
Homogeneous_polynomial
2026 video game
5, Windows, and Xbox Series X/S on 12 May. Directive 8020 features a multilinear plot in which decisions can significantly alter the trajectory of the
Directive_8020
Mathematical operation on vectors in 3D space
In the context of multilinear algebra, the cross product can be seen as the (1,2)-tensor (a mixed tensor, specifically a bilinear map) obtained from the
Cross_product
Vector space in mathematics
vector space over K; there are K-linear maps (multiplication) ∇: B ⊗ B → B (equivalent to K-multilinear map ∇: B × B → B) and (unit) η: K → B, such that
Bialgebra
1966 mathematics textbook by Serge Lang
products and orthogonality and develops hermitian products, bilinear and multilinear maps, the dual space and quadratic forms; it ends with a proof of Sylvester's
Linear_Algebra_(book)
Number of arguments required by a function
notation to consider n-ary functions, as for example multilinear maps (which are not linear maps on the product space, if n ≠ 1). The same is true for
Arity
Algebra over a field where binary multiplication is not necessarily associative
Commutative and anticommutative are equivalent. The associator on A is the K-multilinear map [ ⋅ , ⋅ , ⋅ ] : A × A × A → A {\displaystyle [\cdot ,\cdot ,\cdot ]:A\times
Non-associative_algebra
Concept in differential geometry
a multilinear map sp: TpM × TpM → Ep which is completely anti-symmetric. Then the exterior covariant derivative d∇ s assigns to each p a multilinear map
Exterior_covariant_derivative
f : g × V → V {\displaystyle f:{\mathfrak {g}}\times V\to V} is a multilinear map, φ {\displaystyle \varphi } is a g {\displaystyle {\mathfrak {g}}}
Lie algebra–valued differential form
Lie_algebra–valued_differential_form
Dual space to the tangent space in differential geometry
k {\displaystyle k} -forms. They can be thought of as alternating, multilinear maps on k {\displaystyle k} tangent vectors. For this reason, tangent covectors
Cotangent_space
Tensor decomposition
In multilinear algebra, the higher-order singular value decomposition (HOSVD) is a misnomer. There does not exist a single tensor decomposition that retains
Higher-order singular value decomposition
Higher-order_singular_value_decomposition
Multilinear filmmaking style
Hyperlink cinema is a style of filmmaking characterized by complex or multilinear narrative structures with multiple characters under one unifying theme
Hyperlink_cinema
Coordinate-free definition of a tensor
expressing some definite type of multilinear concept. Their properties can be derived from their definitions, as linear maps or more generally, and the rules
Tensor_(intrinsic_definition)
Graphical notation for multilinear algebra calculations
tensor diagram notation is a (usually handwritten) visual depiction of multilinear functions or tensors proposed by Roger Penrose in 1971. A diagram in
Penrose_graphical_notation
Manifold upon which it is possible to perform calculus
differential forms, at each point, consists of all totally antisymmetric multilinear maps on the tangent space at that point. It is naturally divided into n-forms
Differentiable_manifold
Generalization of the concept of category that allows morphisms of multiple arity
might have occurred to anyone who knew what both a category and a multilinear map were". pseudo-tensor category Tom Leinster (2004). Higher Operads,
Multicategory
Graphical means of performing computations in linear algebra
diagrams are a graphical means of performing computations in linear and multilinear algebra. They can be represented as (slightly modified) graphs in which
Trace_diagram
Brent Waters (2012). "Attribute-Based Encryption for Circuits from Multilinear Maps" (PDF). arXiv:1210.5287. Goldwasser, Shafi; Yael Kalai; Raluca Ada
Functional_encryption
Cryptographic primitives that involve lattices
homomorphic encryption, indistinguishability obfuscation, cryptographic multilinear maps, and functional encryption. Lattice problems Learning with errors Homomorphic
Lattice-based_cryptography
Australian and American mathematician (born 1975)
[T04b] With Camil Muscalu and Christoph Thiele, Tao considered certain multilinear singular integral operators with the multiplier allowed to degenerate
Terence_Tao
systems. For a non-associative ring or algebra R, the associator is the multilinear map [ ⋅ , ⋅ , ⋅ ] : R × R × R → R {\displaystyle [\cdot ,\cdot ,\cdot ]:R\times
Associator
perpendicularity is undefined. An affine fundamental form is some multilinear map α {\displaystyle \alpha } that takes two vector fields X , Y {\displaystyle
Affine_differential_geometry
Israeli cryptographer (born 1966)
moment for cryptography." Cryptographic Multilinear Maps. Halevi is a co-inventor of Cryptographic Multilinear Maps (which constitute the main technical
Shai_Halevi
Matrix operation which flips a matrix over its diagonal
map with respect to bases of V and W, then the matrix AT describes the transpose of that linear map with respect to the dual bases. Every linear map to
Transpose
Continuous surjection satisfying a local triviality condition
B × F {\displaystyle B\times F} is defined using a continuous surjective map, π : E → B , {\displaystyle \pi :E\to B,} that in small regions of E {\displaystyle
Fiber_bundle
Set-to-real map with diminishing returns
such that each 0 ≤ x i ≤ 1 {\displaystyle 0\leq x_{i}\leq 1} . Then the multilinear extension is defined as F ( x ) = ∑ S ⊆ Ω f ( S ) ∏ i ∈ S x i ∏ i ∉ S
Submodular_set_function
Geometric transformation that preserves lines but not angles nor the origin
applications of affine transformations Bent function Flat (geometry) Homography Multilinear polynomial Berger 1987, p. 38. Samuel 1988, p. 11. Snapper & Troyer 1989
Affine_transformation
Mathematics concept
from V−. It is also possible to regard Λp,q VJ* as the space of real multilinear maps from VJ to C which are complex linear in p terms and conjugate-linear
Linear_complex_structure
Exterior algebraic map taking tensors from p forms to n-p forms
{\displaystyle {\textstyle \bigwedge }^{\!n}V^{*}} of n-forms (alternating n-multilinear functions on V n {\displaystyle V^{n}} ), the dual to ω {\displaystyle
Hodge_star_operator
Isomorphism between the tangent and cotangent bundles of a manifold
is called the sharp of α {\displaystyle \alpha } . The sharp map is a smooth bundle map ♯ : T ∗ M → T M {\displaystyle \sharp :\mathrm {T} ^{*}M\to \mathrm
Musical_isomorphism
Vector behavior under coordinate changes
In physics, especially in multilinear algebra and tensor analysis, covariance and contravariance describe how the quantitative description of certain
Covariance and contravariance of vectors
Covariance_and_contravariance_of_vectors
lattice theory, denotes the meet or greatest lower bound operation. 3. In multilinear algebra, geometry, and multivariable calculus, denotes the exterior product
Glossary of mathematical symbols
Glossary_of_mathematical_symbols
Array of numbers describing a metric connection
Differential geometry Dyadic algebra Euclidean geometry Exterior calculus Multilinear algebra Tensor algebra Tensor calculus Physics Engineering Computer vision
Christoffel_symbols
Iranian-American mathematician
ISBN 978-3-031-40002-5. Kahrobaei, D.; Stanojkovski, M. (2023). "Cryptographic multilinear maps using pro-p groups". Advances in Mathematics of Communications. 17
Delaram_Kahrobaei
Topological space that locally resembles Euclidean space
transition maps. A point of the manifold is therefore an equivalence class of points which are mapped to each other by transition maps. Charts map equivalence
Manifold
group Orientation (geometry) Improper rotation Symplectic structure Multilinear algebra Tensor Classical treatment of tensors Component-free treatment
Outline_of_linear_algebra
{\displaystyle 2n_{1},\dots ,2n_{r}} intervals respectively) there is a multilinear map Z T : P n 1 , ϵ 1 ⊗ ⋯ ⊗ P n r , ϵ r → P n 0 , ϵ 0 {\displaystyle Z_{T}:{\mathcal
Planar_algebra
Decomposition in multilinear algebra
In multilinear algebra, the tensor rank decomposition or rank-R decomposition is the decomposition of a tensor as a sum of R rank-1 tensors, where R is
Tensor_rank_decomposition
Representation of a tensor in Euclidean space
m inclusive) will return a tensor of order m − n, see Tensor § As multilinear maps for further generalizations and details. The concepts above also apply
Cartesian_tensor
Function with a multiplicative scaling behaviour
{\displaystyle \alpha \in {F}} and v ∈ V . {\displaystyle v\in V.} Similarly, any multilinear function f : V 1 × V 2 × ⋯ V n → W {\displaystyle f:V_{1}\times V_{2}\times
Homogeneous_function
Mathematical function of two variables; outputs 1 if they are equal, 0 otherwise
considered as a mapping V ∗ ⊗ V → K {\displaystyle V^{*}\otimes V\to K} The map K → V ∗ ⊗ V {\displaystyle K\to V^{*}\otimes V} , representing scalar multiplication
Kronecker_delta
Intrinsic geometric structures in mathematics
p-forms can be identified with the space of alternating p-fold C∞(F)-multilinear maps on the module of vector fields. For further details see Helgason (1978)
Riemannian connection on a surface
Riemannian_connection_on_a_surface
Gameplay involving unordered sequences
Pitfall! became the first action game that demanded its fans sit down and map out routes, breaking down the complex arrangement of what initially appears
Nonlinear_gameplay
Motion of a certain space that preserves at least one point
(quaternions), and other algebraic things: see the section Linear and Multilinear Algebra Formalism for details. A general rotation in four dimensions
Rotation_(mathematics)
Algebraic operation on coordinate vectors
Differential geometry Dyadic algebra Euclidean geometry Exterior calculus Multilinear algebra Tensor algebra Tensor calculus Physics Engineering Computer vision
Dot_product
spaces; i.e., the images of P I {\displaystyle P_{I}} are sets of multilinear maps and if tensor product is available, P I ( { X i } , Y ) = Hom ( ⊗
Pseudo-tensor_category
Operation in mathematics
In multilinear algebra, a tensor contraction is an operation on a tensor that arises from the canonical pairing of a vector space and its dual. This example
Tensor_contraction
Determinant of a subsection of a square matrix
minors is given in multilinear algebra, using the wedge product: the k-minors of a matrix are the entries in the k-th exterior power map. If the columns
Minor_(linear_algebra)
Mathematics of smooth surfaces
representation of a surface via maps between Euclidean spaces. There is a standard notion of smoothness for such maps; a map between two open subsets of Euclidean
Differential geometry of surfaces
Differential_geometry_of_surfaces
Branch of mathematics
manifolds. It uses the techniques of vector calculus, linear algebra and multilinear algebra. The field has its origins in the study of spherical geometry
Differential_geometry
Scalar-valued bilinear function
the double dual of M. Bilinear map Category:Bilinear maps Inner product space Linear form Multilinear form Polar space Quadratic form Sesquilinear form System
Bilinear_form
Properties of mathematical relationships
Linear system Linear programming Linear differential equation Bilinear Multilinear Linear motor Linear interpolation Edwards, Harold M. (1995). Linear Algebra
Linearity
Automated recognition of patterns and regularities in data
mixture of experts Bayesian networks Markov random fields Unsupervised: Multilinear principal component analysis (MPCA) Kalman filters Particle filters Gaussian
Pattern_recognition
2021 video game
is the third game of The Dark Pictures Anthology. The game features a multilinear plot in which decisions can significantly alter the trajectory of the
The Dark Pictures Anthology: House of Ashes
The_Dark_Pictures_Anthology:_House_of_Ashes
Affine connection on the tangent bundle of a manifold
m{\bigr \rangle }=0\qquad (1).} Consider the map f that sends every m in S2 to ⟨Y(m), m⟩, which is always 0. The map f is constant, hence its differential vanishes
Levi-Civita_connection
2020 video game
player to see visions of possible future events. The game features a multilinear plot in which decisions can alter the trajectory of the story and change
The Dark Pictures Anthology: Little Hope
The_Dark_Pictures_Anthology:_Little_Hope
Method for specifying point positions
system. The concept of a coordinate map, or coordinate chart is central to the theory of manifolds. A coordinate map is essentially a coordinate system
Coordinate_system
2022 video game
alongside tool-based puzzles and a character inventory system. It features a multilinear plot in which decisions can alter the trajectory of the story and change
The Dark Pictures Anthology: The Devil in Me
The_Dark_Pictures_Anthology:_The_Devil_in_Me
MULTILINEAR MAP
MULTILINEAR MAP
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 : 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 : variant of Maple.
Surname or Lastname
English (Norfolk)
English (Norfolk) : metronymic from the medieval female personal name Mab(be) (see Mapp 1).
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.
Female
Native American
Native American Sioux name MAPIYA means "sky."
Boy/Male
Hindu
King of stars, Map
Surname or Lastname
English
English : metronymic from the medieval female personal name Mab(be) (see Mapp).
Surname or Lastname
English
English : from a short form of the female personal name Mabel (see Mapp).
Girl/Female
Hindu
King of stars, Map
Boy/Male
Tamil
King of stars, 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.
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
Hindu, Indian
Maple Tree
Girl/Female
Tamil
King of stars, Map
Girl/Female
Indian, Marathi
Star; 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 (Somerset and Gloucester)
English (Somerset and Gloucester) : unexplained. Perhaps a habitational name from a lost or unidentified place.
Boy/Male
Anglo Saxon
God of youth and music.
Surname or Lastname
English
English : variant spelling of Maple.
MULTILINEAR MAP
MULTILINEAR MAP
Boy/Male
Afghan, Arabic
Light
Girl/Female
Indian
Lord Shiva
Girl/Female
Australian, Greek
Muse of Dance and Lyric Poetry; Enjoying the Dance
Girl/Female
Muslim/Islamic
Wise
Girl/Female
Spanish
Small intelligent one.
Girl/Female
Greek
Pure.
Girl/Female
Hindu, Indian
Little; Moon
Girl/Female
Muslim
Perfume
Boy/Male
Hindu, Indian
Higher then Charming
Boy/Male
Hindu, Indian, Traditional
Yudhistir
MULTILINEAR MAP
MULTILINEAR MAP
MULTILINEAR MAP
MULTILINEAR MAP
MULTILINEAR 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.
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.
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.
a.
Containing, or consisting of, lines of different kinds, as straight, curved, and the like; as, a mixtilinear angle, that is, an angle contained by a straight line and a curve.
n.
The making, or study, of maps.
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.
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.
n.
A description or plan of the heavens and the heavenly bodies; the construction of celestial maps, globes, etc.; uranology.
n.
A dry, indehiscent, usually one-seeded, winged fruit, as that of the ash, maple, and elm; a key or key fruit.
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.
p. pr. & vb. n.
of Map
a.
Alt. of Mixtilinear
n.
Anything which represents graphically a succession of events, states, or acts; as, an historical map.
n.
The moosewood, or striped maple. See Maple.
n.
A zodiacal constellation, represented on maps and globes as a centaur shooting an arrow.
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.
a.
Having many lines.
imp. & p. p.
of Map