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Partially unsolved problem in mathematics
mathematics known as functional analysis, the invariant subspace problem is a partially unresolved problem asking whether every bounded operator on a complex
Invariant_subspace_problem
Subspace preserved by a linear mapping
In mathematics, an invariant subspace of a linear mapping T : V → V i.e. from some vector space V to itself, is a subspace W of V that is preserved by
Invariant_subspace
Calculus using a logically rigorous notion of infinitesimal numbers
an invariant subspace problem of K. T. Smith and P. R. Halmos, Pacific Journal of Mathematics 16:3 (1966) 421-431 P. Halmos, Invariant subspaces for
Nonstandard_analysis
Swedish mathematician and concert pianist
problem and the approximation problem and later the invariant subspace problem for Banach spaces. In solving these problems, Enflo developed new techniques
Per_Enflo
counterexample to the invariant subspace problem (and even the invariant subset problem) in the class of Banach spaces. The problem, whether such an operator
Hypercyclic_operator
multivalued functions Invariant subspace problem – does every bounded operator on a complex Banach space send some non-trivial closed subspace to itself? Kung–Traub
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Homotopy invariant of maps between n-spheres
mathematics, in particular in algebraic topology, the Hopf invariant is a homotopy invariant of certain maps between n-spheres. In 1931 Heinz Hopf used
Hopf_invariant
British mathematician
his work in the 1980s on the invariant subspace problem, where he constructed operators with only trivial invariant subspaces on particular Banach spaces
Charles_Read_(mathematician)
Hungarian and American mathematician and physicist (1903–1957)
existence of proper invariant subspaces for completely continuous operators in a Hilbert space while working on the invariant subspace problem. With I. J. Schoenberg
John_von_Neumann
Italian mathematician (born 1940)
extraordinarily complicated manuscripts (like the paper of Per Enflo on the invariant subspace problem). The Bombieri–Vinogradov theorem is one of the major applications
Enrico_Bombieri
Linear subspace generated from a vector acted on by a power series of a matrix
algebra, the order-r Krylov subspace generated by an n-by-n matrix A and a vector b of dimension n is the linear subspace spanned by the images of b under
Krylov_subspace
Mathematical concept
mathematics, specifically in control theory, subspace identification (SID) aims at identifying linear time invariant (LTI) state space models from input-output
Subspace identification method
Subspace_identification_method
Russian-American mathematician (1946–2018)
the invariant subspace problem, which was described by Walter Rudin in his classical book on Functional Analysis as "Lomonosov's spectacular invariant subspace
Victor_Lomonosov
French mathematician
dissertation Autour du probleme du sous-espace invariant et theorie des algebres duales on the invariant subspace problem supervised by Bernard Gustave Chevreau
Isabelle_Chalendar
Canadian mathematician and lawyer (1941–2024)
his work was related to the invariant subspace problem, the still-unsolved problem of the existence of invariant subspaces for bounded linear operators
Peter_Rosenthal
Area of mathematics
space has a proper invariant subspace. Many special cases of this invariant subspace problem have already been proven. General Banach spaces are more complicated
Functional_analysis
Property that is not changed by mathematical transformations
then the line through 0 and v is an invariant set under T, in which case the eigenvectors span an invariant subspace which is stable under T. When T is
Invariant_(mathematics)
enough invariant subspaces to characterize it. Formally, A is reflexive if it is equal to the algebra of bounded operators which leave invariant each subspace
Reflexive_operator_algebra
Hungarian-American mathematician (1916–2006)
ISBN 978-1-4419-2324-0 Springer. Crinkled arc Commutator subspace Invariant subspace problem Naive set theory Criticism of non-standard analysis The Martians
Paul_Halmos
American mathematician (born 1935)
contains more than 150 papers, and his research has concerned the invariant subspace problem and the theory of dual algebras. Pearcy was born in Beaumont,
Carl_Pearcy
Smooth manifold with an inner product on each tangent space
of G, fix any complemented subspace W of the Lie algebra of K within the Lie algebra of G. If this subspace is invariant under the linear map adG(k):
Riemannian_manifold
Theorem in mathematics
to Beurling (1948) and Lax (1959) which characterizes the shift-invariant subspaces of the Hardy space H 2 ( D , C ) {\displaystyle H^{2}(\mathbb {D}
Beurling–Lax_theorem
Subspace of a quantum system's Hilbert space that is invariant to non-unitary dynamics
A decoherence-free subspace (DFS) is a subspace of a quantum system's Hilbert space that is invariant to non-unitary dynamics. Alternatively stated, they
Decoherence-free_subspaces
Mathematical study of invariants under symmetries
With this action it is natural to consider the subspace of all polynomial functions which are invariant under this group action, in other words the set
Invariant_theory
Value determined from a polyhedron
invariants of any finite set of polyhedra forms a finite-dimensional subspace of the infinite-dimensional vector space in which the Dehn invariants of
Dehn_invariant
operator on K from an operator on the whole Hilbert space. If K is an invariant subspace for T, then the compression of T to K is the restricted operator K→K
Compression (functional analysis)
Compression_(functional_analysis)
Sum of inverse squares of natural numbers
The Basel problem is a problem in mathematical analysis with relevance to number theory, concerning an infinite sum of inverse squares. It was first posed
Basel_problem
which proves the invariant subspace claim. In fact, one can conclude something stronger. The range of EB is actually a reducing subspace of A, i.e. its
Quasinormal_operator
Theorem on extension of bounded linear functionals
-invariant continuous linear functional defined on a vector subspace of a normed space X {\displaystyle X} has a Γ {\displaystyle \Gamma } -invariant Hahn–Banach
Hahn–Banach_theorem
In control theory, visible state of a system
that are not distinguishable by only measuring the outputs. For time-invariant linear systems in the state space representation, there are convenient
Observability
English mathematician
Partington, Jonathan R. (18 August 2011). Modern Approaches to the Invariant-Subspace Problem. Cambridge University Press. doi:10.1017/cbo9780511862434.
Jonathan_Partington
homotopy invariant, assigning an integer to a loop in the Lagrangian Grassmannian. Equivalently, after fixing a reference Lagrangian subspace L 0 {\displaystyle
Maslov_index
Study of mathematical knots
century, invariants such as "quantum" knot polynomials, Vassiliev invariants and hyperbolic invariants were discovered. These aforementioned invariants are
Knot_theory
Millennium Prize Problems Painlevé conjecture Mathematical fallacy Superseded theories in science List of incomplete proofs List of unsolved problems in mathematics
List_of_conjectures
Form of a matrix indicating its eigenvalues and their algebraic multiplicities
dimensional Euclidean space into invariant subspaces of A. Every Jordan block Ji corresponds to an invariant subspace Xi. Symbolically, we put C n = ⨁
Jordan_normal_form
0}H_{i}\right)=K_{1}\oplus K_{2}.} It is clear that K1 and K2 are invariant subspaces of V. So V(K2) = K2. In other words, V restricted to K2 is a surjective
Wold's_decomposition
Concepts from linear algebra
distinct eigenvalues. Any subspace spanned by eigenvectors of T is an invariant subspace of T, and the restriction of T to such a subspace is diagonalizable.
Eigenvalues_and_eigenvectors
Euclidean space without distance and angles
linear subspace (vector subspace) of a vector space produces an affine subspace of the vector space. One commonly says that this affine subspace has been
Affine_space
submanifold (SSM) is the unique smoothest invariant manifold serving as the nonlinear extension of a spectral subspace of a linear dynamical system under the
Spectral_submanifold
Branch of mathematics
structure, called a topology, which allows defining continuous deformation of subspaces, and, more generally, all kinds of continuity. Euclidean spaces, and,
Topology
Mathematical concept
other invariant subspaces of the linearized equation may be of interest, including center-stable, center-unstable, sub-center, slow, and fast subspaces. If
Center_manifold
Mathematical set with some added structure
structure defining the relationships among the elements of the set. A subspace is a subset of the parent space which retains the same mathematical structure
Space_(mathematics)
Nonlinear equation which arises on linear optimal control problems
time-invariant Linear-Quadratic Regulator problem (LQR) as well as that of the infinite horizon time-invariant Linear-Quadratic-Gaussian control problem (LQG)
Algebraic_Riccati_equation
Mathematical problem in von Neumann algebra theory
{\displaystyle R^{\omega }} . A positive solution to the problem would imply that invariant subspaces exist for a large class of operators in type II1 factors
Connes_embedding_problem
Information sent faster than light
possibly through wormholes is likely impossible because, in a Lorentz-invariant theory, it could be used to transmit information into the past. This would
Faster-than-light communication
Faster-than-light_communication
Group whose operation is a composition of braids
to the Yang–Baxter equation (see § Basic properties); and in monodromy invariants of algebraic geometry. In this introduction let n = 4; the generalization
Braid_group
Monster and modular connection
the problem, showing that the moonshine functions for order p elements of the monster yield the set of characteristic p supersingular j-invariants (apart
Monstrous_moonshine
Matrix factorisation in mathematics
Schur decomposition implies that there exists a nested sequence of A-invariant subspaces {0} = V0 ⊂ V1 ⊂ ⋯ ⊂ Vn = Cn, and that there exists an ordered orthonormal
Schur_decomposition
Geometry founded on spheres
that the subspace has signature (1,0), the unique solution q lies in the span of x, y and z. The general solution to the Apollonian problem is obtained
Lie_sphere_geometry
Idempotent linear transformation from a vector space to itself
0 s {\displaystyle I_{m}\oplus 0_{s}} corresponds to the maximal invariant subspace on which P {\displaystyle P} acts as an orthogonal projection (so
Projection_(linear_algebra)
Locally compact topological group with an invariant averaging operation
G carrying a kind of averaging operation on bounded functions that is invariant under translation by group elements. The original definition, in terms
Amenable_group
Chapter 22). Willard, Chapter 24 Klee, V. L. (1952). "Invariant metrics in groups (solution of a problem of Banach)" (PDF). Proc. Amer. Math. Soc. 3 (3): 484–487
Completely_metrizable_space
Concept in mathematics
Lie algebra of a Lie group may be identified with the algebra of left-invariant differential operators on the group. The idea of the universal enveloping
Universal_enveloping_algebra
Concept in geometry
are invariant under isometric transformation of the Euclidean space. If the flats do not intersect, their shortest distance is one more invariant. These
Angles_between_flats
Millennium Prize Problem
particular, the pure states are given by the rays, i.e. the one-dimensional subspaces, of some separable complex Hilbert space. The Wightman axioms require
Yang–Mills existence and mass gap
Yang–Mills_existence_and_mass_gap
mathematics, the commutator subspace of a two-sided ideal of bounded linear operators on a separable Hilbert space is the linear subspace spanned by commutators
Commutator_subspace
In geometry, set whose intersection with every line is a single line segment
x,y in C and t in the interval [0, 1]. This implies that convexity is invariant under affine transformations. Further, it implies that a convex set in
Convex_set
Roĭter, A. V.; Sergeĭchuk, V. V.; Vossieck, D. (1993), "Tame and wild subspace problems", Akademīya Nauk Ukraïni, 45 (3): 313–352, doi:10.1007/BF01061008
Wild_problem
Mathematical representation
the invariant subspace of H1(Dn) (under the action of Bn) is primitive and infinite cyclic. Let π : H1(Dn) → Z be the projection onto this invariant subspace
Burau_representation
Specific algebraic group
{\displaystyle X} which is a totally geodesic flat subspace in X {\displaystyle X} . It is in fact a maximal flat subspace and all maximal such are obtained as orbits
Algebraic_torus
Lagrangian point Lagrangian relaxation Lagrangian submanifold Lagrangian subspace Nonlocal Lagrangian Proca lagrangian Special Lagrangian submanifold Euler–Lagrange
List of things named after Joseph-Louis Lagrange
List_of_things_named_after_Joseph-Louis_Lagrange
Continuous deformation between two continuous functions
compactification is not homotopy invariant). In order to define the fundamental group, one needs the notion of homotopy relative to a subspace. These are homotopies
Homotopy
Group that is also a differentiable manifold with group operations that are smooth
{\displaystyle \mathbb {T} ^{2}} that is not a Lie group when given the subspace topology. If we take any small neighborhood U {\displaystyle U} of a point
Lie_group
Concept in mathematics
in the sense that for any closed invariant subspace, the orthogonal complement is again a closed invariant subspace. This is at the level of an observation
Unitary_representation
Mathematical property of a space
mathematics, a topological property or topological invariant is a property of a topological space that is invariant under homeomorphisms. Alternatively, a topological
Topological_property
Group that is a topological space with continuous group operations
viewing GL ( n , R ) {\displaystyle {\text{GL}}(n,\mathbb {R} )} as a subspace of Euclidean space R n × n {\displaystyle \mathbb {R} ^{n\times n}} . Another
Topological_group
Technique in numerical linear algebra
and G. Young. L. Mirsky generalized the result to arbitrary unitarily invariant norms. Let D = U Σ V ⊤ ∈ R m × n , m ≥ n {\displaystyle D=U\Sigma V^{\top
Low-rank_approximation
Representation theory of the symmetries of non-relativistic quantum space
subgroup of the affine group on (t, x, y, z), whose linear part leaves invariant both the metric (gμν = diag(1, 0, 0, 0)) and the (independent) dual metric
Representation theory of the Galilean group
Representation_theory_of_the_Galilean_group
Type of vector space in math
level, perpendicular projection onto a linear subspace plays a significant role in optimization problems and other aspects of the theory. An element of
Hilbert_space
Mathematics award
Sylvia; Gruber, David (21 August 2006). "Manifold Destiny: A legendary problem and the battle over who solved it". The New Yorker. Archived from the original
Fields_Medal
Study of angle-preserving transformations
which are invariant under inversion, orthogonal to the unit sphere, and have centers outside of the sphere. These together with the subspace hyperplanes
Inversive_geometry
Polynomial whose Laplacian is zero
harmonic polynomials form a subspace of the vector space of polynomials over the given field. In fact, they form a graded subspace. For the real field ( R
Harmonic_polynomial
Great circle with a characteristic length
space within a given radius from a central point. A metric space is a subspace of a metric circle (or of an equivalently defined metric line, interpreted
Metric_circle
Conjecture in algebraic geometry
terms of a more computable invariant, the Galois representation on étale cohomology. The conjecture is a central problem in the theory of algebraic cycles
Tate_conjecture
Geometry problem about finding touching circles
In Euclidean plane geometry, Apollonius's problem is to construct circles that are tangent to three given circles in a plane (Figure 1). Apollonius of
Problem_of_Apollonius
Branch of mathematics that studies dynamical systems
sub-σ-algebra ΣT of the T-invariant sets is a linear projector ET of norm 1 of the Banach space Lp(X, Σ, μ) onto its closed subspace Lp(X, ΣT, μ). The latter
Ergodic_theory
Branch of mathematics that studies abstract algebraic structures
Fourier analysis via harmonic analysis, is connected to geometry via invariant theory and the Erlangen program, has an impact in number theory via automorphic
Representation_theory
Algebro-geometric stability condition
Simon Donaldson. The definition was inspired by a comparison to geometric invariant theory (GIT) stability. In the special case of Fano varieties, K-stability
K-stability
{\displaystyle f} -invariant subspaces. In other words, there exists a family { V i | i ∈ I } {\displaystyle \{V_{i}\vert i\in I\}} of linear subspaces of V {\displaystyle
Locally_finite_operator
German mathematician (1882–1935)
of invariant theory was to solve the "finite basis problem". The sum or product of any two invariants is invariant, and the finite basis problem asked
Emmy_Noether
{Val} _{i}(V)} of i {\displaystyle i} -homogeneous valuations is a vector subspace of Val ( V ) . {\displaystyle \operatorname {Val} (V).} McMullen's decomposition
Valuation_(geometry)
Normed vector space that is complete
Lindenstrauss, Joram; Tzafriri, Lior (1971). "On the complemented subspaces problem". Israel Journal of Mathematics. 9 (2): 263–269. doi:10.1007/BF02771592
Banach_space
representation ring R(T) and the W-invariant subring with R(K). Steinberg's basis was again motivated by a problem on the topology of homogeneous spaces;
Kostant_polynomial
Difficulties arising when analyzing data with many aspects ("dimensions")
or 512 dimensions in one ablation study. A loss function for unitary-invariant dissimilarity between word embeddings was found to be minimized in high
Curse_of_dimensionality
In mathematics, an eigenplane is a two-dimensional invariant subspace in a given vector space. By analogy with the term eigenvector for a vector which
Eigenplane
French-American mathematician
some false (or inaccurate) results, including a claimed proof of the invariant subspace conjecture in 1964 (incidentally, in December 2008 he published a
Louis_de_Branges_de_Bourcia
Statement relating differentiable symmetries to conserved quantities
paper Noether, Emmy (1918). "Invariante Variationsprobleme" [Invariant Variation Problems]. Nachrichten von der Königlichen Gesellschaft der Wissenschaften
Noether's_theorem
Signal processing method
Estimation of signal parameters via rotational invariant techniques (ESPRIT), is a technique to determine the parameters of a mixture of sinusoids in
Estimation of signal parameters via rotational invariance techniques
Estimation_of_signal_parameters_via_rotational_invariance_techniques
Algorithm used for frequency estimation and radio direction finding
\sigma ^{2}} and span the noise subspace U N {\displaystyle {\mathcal {U}}_{N}} , which is orthogonal to the signal subspace, U S ⊥ U N {\displaystyle {\mathcal
MUSIC_(algorithm)
Group presentations useful in knot theory
a difference for the purposes of the Wirtinger presentation.) The open subspace which is the complement of the knot, S 3 ∖ K {\displaystyle S^{3}\setminus
Wirtinger_presentation
Metric geometry
generalization of the Heine–Borel theorem, which states that any closed and bounded subspace S {\displaystyle S} of R n {\displaystyle \mathbb {R} ^{n}} is compact
Complete_metric_space
Tree-based ensemble machine learning methods
and random subspace projection contribute to accuracy gains under different conditions is given by Ho. Typically, for a classification problem with p {\displaystyle
Random_forest
*-algebra of bounded operators on a Hilbert space
algebra G′, whose projections correspond exactly to the closed subspaces of H invariant under G. Equivalent subrepresentations correspond to equivalent
Von_Neumann_algebra
Abstraction of linear independence of vectors
Tutte–Grothendieck invariant. The Tutte polynomial is the most general such invariant; that is, the Tutte polynomial is a Tutte–Grothendieck invariant and every
Matroid
Function between two metric spaces that only respects their large-scale geometry
map, ( M 1 , d 1 ) {\displaystyle (M_{1},d_{1})} is quasi-isometric to a subspace of ( M 2 , d 2 ) {\displaystyle (M_{2},d_{2})} . Two metric spaces M1 and
Quasi-isometry
Mathematical space with a notion of closeness
to be the first to realize that the main problem about the topology of (compact) surfaces is to find invariants (preferably numerical) to decide the equivalence
Topological_space
Structure in functional analysis
Schaefer & Wolff 1999, p. 35. Klee, V. L. (1952). "Invariant metrics in groups (solution of a problem of Banach)" (PDF). Proc. Amer. Math. Soc. 3 (3): 484–487
Complete topological vector space
Complete_topological_vector_space
Theoretical framework in physics
same for observers at different velocities, i.e. that physical laws be invariant under Lorentz transformations. Two difficulties remained. Observationally
Quantum_field_theory
Signal-processing procedure
algorithms to solve this problem are based on assumption that both input and impulse response live in respective known subspaces. However, blind deconvolution
Blind_deconvolution
Formulation to quantize gauge field theories in physics
theory is presumed to lie in the subspace P l 0 {\displaystyle Pl_{0}} of polynomials which are real-valued and invariant under any unbroken non-gauge symmetry
BRST_quantization
INVARIANT SUBSPACE-PROBLEM
INVARIANT SUBSPACE-PROBLEM
Surname or Lastname
Variant spelling of German Drewes.English
Variant spelling of German Drewes.English : topographic name, from Old English drÄf ‘drove’, ‘cattle track’.
Surname or Lastname
Variant of Nicolai 2.English
Variant of Nicolai 2.English : variant of Nicholas.
Surname or Lastname
Variant spelling of German and Dutch Kramer or its German variant Krämer. It is also found in England as a Huguenot name, presumably with this origin.English
Variant spelling of German and Dutch Kramer or its German variant Krämer. It is also found in England as a Huguenot name, presumably with this origin.English : variant of Creamer 1.
Girl/Female
Hindu, Indian
Donated Substance
Surname or Lastname
Variant spelling of German and Jewish Wachs.English
Variant spelling of German and Jewish Wachs.English : metonymic occupational name for a seller or gatherer of beeswax, Middle English wax (from Old English weax). In the Middle Ages wax was an important commodity, used among other things for making candles.
Surname or Lastname
Spelling variant of German Kassler.English
Spelling variant of German Kassler.English : perhaps a habitational name from any of several places in Cumbria called Castle Howe, from Middle English castel ‘castle’, ‘earthwork’ + howe ‘mound’ (Old Norse haugr), or alternatively a topographic or occupational name from Middle English casteler ‘dweller or worker at a castle’.
Surname or Lastname
Respelling of German and Swiss German Emele, a variant of Emel.English
Respelling of German and Swiss German Emele, a variant of Emel.English : variant of Emley.
Surname or Lastname
variant of German Pfeffer.English
variant of German Pfeffer.English : metonymic occupational name or nickname from Anglo-Norman French pivre ‘pepper’ (see Pepper).
Surname or Lastname
Variant of Dutch Winne.English
Variant of Dutch Winne.English : from an unattested Old English personal name, Wyngeofu, composed of the elements wyn ‘joy’ + geofu ‘battle’.
Surname or Lastname
Perhaps an altered spelling of German Bongartz, a variant of Baumgarten.English
Perhaps an altered spelling of German Bongartz, a variant of Baumgarten.English : variant of Bunker.
Surname or Lastname
Variant spelling of Dutch Dils.English
Variant spelling of Dutch Dils.English : infrequent variant of Dill.
Surname or Lastname
Variant of Irish Condon.English
Variant of Irish Condon.English : apparently a habitational name from a lost or unidentified place, probably in Devon or Cornwall, where the modern surname is most frequent.
Surname or Lastname
Probably a variant of German Heist.English (Yorkshire)
Probably a variant of German Heist.English (Yorkshire) : possibly a reduced form of Hayhurst. See also Hast.
Surname or Lastname
Variant spelling of Scottish Lindsay.Irish
Variant spelling of Scottish Lindsay.Irish : reduced and Anglicized form of various Gaelic surnames, as for example Ó Loingsigh (see Lynch 1), Mac Giolla Fhionntóg (see McClintock), and Ó Fhloinn (see Flynn).English : habitational name from Lindsey in Suffolk, named in Old English as ‘island (Old English ēg) of Lelli’, a personal name representing a byform of an unattested name Lealla.
Surname or Lastname
Variant of German Jordan.English
Variant of German Jordan.English : perhaps an altered spelling of Gordon.
Surname or Lastname
Altered spelling of French Bonnel, a variant of Bonneau.English
Altered spelling of French Bonnel, a variant of Bonneau.English : variant of Bunnell.
Surname or Lastname
English variant of Woolmer
English variant of Woolmer : variant of Woolmer: from the Old English personal name WulfmÇ£r, a compound of wulf ‘wool’ + mÄri, mÄ“ri ‘famous’.English variant of Woolmer : habitational name from a lost place named Wolmoor (‘wolves’ moor’), in Ormskirk, Lancashire; possibly also from Woolmer Forest in Hampshire, Wolmer Farm in Ogbourne St George, Wiltshire, or Woomore Farm in Melksham Wiltshire, all meaning ‘wolves’ pool’.
Boy/Male
Indian, Sanskrit
The Substance; Divine
Surname or Lastname
Variant of French Dufort.English
Variant of French Dufort.English : apparently a habitational name, perhaps from Dulford in Broadhembury, Devon, which is named from an unattested Old English word dylfet ‘pit’, ‘quarry’.
Surname or Lastname
Variant of Dutch Schave.English
Variant of Dutch Schave.English : nickname from Middle English schove, probably from Old English scufa, a derivative of scūfan ‘to thrust or push’.
INVARIANT SUBSPACE-PROBLEM
INVARIANT SUBSPACE-PROBLEM
Boy/Male
Muslim
The highest
Boy/Male
English, French, Hebrew, Indian, Japanese, Sanskrit
Greens from the Village; Song; Joy; Melted; Dissolved
Boy/Male
Muslim
Righteousness. Goodness. Peace.
Boy/Male
English French Shakespearean
Servant. God-like.
Girl/Female
Hindu, Indian
Scholar
Girl/Female
Hindu, Indian, Marathi
Pure; Sacred
Girl/Female
Muslim
Praiseworthy
Girl/Female
Arabic, Australian, Iranian, Muslim, Parsi
The Planet Venus
Girl/Female
Australian, Christian, Danish, Finnish, German, Hebrew, Swedish
Grace; God is Gracious; God has Favoured; Favour
Girl/Female
Tamil
Thanishtha | தாநீஷதா
Loyal, Sincere & dedicated, Devoted
INVARIANT SUBSPACE-PROBLEM
INVARIANT SUBSPACE-PROBLEM
INVARIANT SUBSPACE-PROBLEM
INVARIANT SUBSPACE-PROBLEM
INVARIANT SUBSPACE-PROBLEM
variant
of Disarray.
a.
Intoxicating.
v. t.
A variant of Straiten.
n.
An invariable quantity; specifically, a function of the coefficients of one or more forms, which remains unaltered, when these undergo suitable linear transformations.
n.
Something which differs in form from another thing, though really the same; as, a variant from a type in natural history; a variant of a story or a word.
n.
The property of remaining invariable under prescribed or implied conditions.
v. t.
To furnish or endow with substance; to supply property to; to make rich.
n.
Variant of Felon.
v. t.
Variant of Clasp
n.
A function involving the coefficients and the variables of a quantic, and such that when the quantic is lineally transformed the same function of the new variables and coefficients shall be equal to the old function multiplied by a factor. An invariant is a like function involving only the coefficients of the quantic.
n.
Anything that intoxicates, as opium, alcohol, etc.; an intoxicant.
a.
A variant of Sovereign.
n.
A variant of Straitness.
v. t. & i.
Variant of Hote.
n.
Body; matter; material of which a thing is made; hence, substantiality; solidity; firmness; as, the substance of which a garment is made; some textile fabrics have little substance.
n.
Variant of Height.
a.
A variant of Straight.
n.
Variant of Huke.