*-Any-vector-space-V-endowed-with-the-identically

[permalink] [id link]

+ −

Page "Lie algebra" ¶ 23

from Wikipedia

Promote Demote Fragment Fix

« More previous Okay Cancel More next »

Some Related Sentences

Any and vector

Any differential area with normal vector of a given internal surface area, bounding a portion of the body, experiences a contact force arising from the contact between both portions of the body on each side of, and it is given by

Any field may be used as the scalars for a vector space, which is the standard general context for linear algebra.

# Any tangent vector at the identity of a Lie group can be extended to a left invariant vector field by left translating the tangent vector to other points of the manifold.

Any point on a ray starting from point with direction ( here is a unit vector ) can be written as

Any force directed parallel to the particle's position vector does not produce a torque.

Any particular vector file format supports only some kinds of primitive objects.

Any non-singular curve on a smooth surface will have its tangent vector T lying in the tangent plane of the surface orthogonal

Any vector that rotates around an axis with an angular speed vector ( as defined before ) satisfies:

Any linear combination of the column vectors of a matrix A can be written as the product of A with a column vector:

Any element in the direct sum of two vector spaces of matrices can be represented as a direct sum of two matrices.

* Any open subset of a finite-dimensional real, and therefore complex, vector space is a diffeological space.

Any rotation in three-dimensions can be represented as an axis vector and an angle of rotation.

Any tangent vector at a point of the parametric surface M can be written in the form

Any covector field α has components in the basis of vector fields f. These are determined by

Any kind of animal that often visits or encounters flowers is likely to be a pollen vector to some extent.

# Any mental state can be described as an ( N )- dimensional vector of numeric activation values over neural units in a network.

Any vector bundle V over a manifold may be realized as the pullback of a universal bundle over the classifying space, and the Chern classes of V can therefore be defined as the pullback of the Chern classes of the universal bundle ; these universal Chern classes in turn can be explicitly written down in terms of Schubert cycles.

Any non-zero vector v divides the Euclidean space into two half-spaces bounding the hyperplane v ∧ orthogonal to v, namely v + and v −.

Any non-zero vector of an irreducible representation is cyclic.

* Any coset of a subspace of a vector space is an affine space over that subspace.

Any smooth function on a symplectic manifold gives rise, by definition, to a Hamiltonian vector field and the set of all such form a subalgebra of the Lie Algebra of symplectic vector fields.

Any and space

* Any finite topological space, including the empty set, is compact.

* Any space carrying the cofinite topology is compact.

* Any locally compact Hausdorff space can be turned into a compact space by adding a single point to it, by means of Alexandroff one-point compactification.

Any disturbance created in a sufficiently small region of isotropic space ( or in an isotropic medium ) propagates from that region in all radial directions.

Any major failure to a spacecraft en route is likely to be fatal, and even a minor one could have dangerous results if not repaired quickly, something difficult to accomplish in open space.

Any object gravitationally held by the rotating Earth – Moon system will be attracted to the barycenter to an equal and opposite degree as its tendency to fly off into space.

Any fire in a crew space will be automatically extinguished with Halon or another fire suppressant.

Any topological space which is itself finite or countably infinite is separable, for the whole space is a countable dense subset of itself.

Any second-countable space is separable: if is a countable base, choosing any gives a countable dense subset.

* Any continuous image of a separable space is separable.

* Any topological space which is the union of a countable number of separable subspaces is separable.

Any brain tumor is inherently serious and life-threatening because of its invasive and infiltrative character in the limited space of the intracranial cavity.

Any conformal map on a portion of Euclidean space of dimension greater than 2 can be composed from three types of transformation: a homothetic transformation, an isometry, and a special conformal transformation.

Any number of playing pieces may occupy the same space at the same time.

# Any phenomena that would seem attributable to absolute space and time ( e. g. inertia, and centrifugal force ) should instead be seen as emerging from the large scale distribution of matter in the universe.

* Any topological space can be viewed as a category by taking the open sets as objects, and a single morphism between two open sets and if and only if.

Any relatively flat, open space can be used as a terrain.

Any attempt to contact other worlds was forbidden, and the planetary government maintained an isolationist stance, forbidding space exploration of any kind.

Any competitor may rent office space in an incumbent's central office, place equipment to interconnect with their network, or purchase other related services.

Any and V

:“ Any linear map from V to an algebra A can be uniquely extended to an algebra homomorphism from T ( V ) to A .”

Principle V states, " Any person charged with a crime under international law has the right to a fair trial on the facts and law.

: Any linear transformation f: V → A from V to an algebra A over K can be uniquely extended to an algebra homomorphism from T ( V ) to A as indicated by the following commutative diagram:

) compete for Challenge ( best ) Dog and Challenge Bitch ; the individuals who will challenge each other for the accolade Best of Breed ( except dogs that are entered in " The import Register " or " Any Variety Not Separately Classified " classes, in these classes the dogs compete for " best import " or " best A. V. N. S. C .").

Any processing for the purpose of safeguarding national security is exempt from all the data protection principles, as well as Part II ( subject access rights ), Part III ( notification ), Part V ( enforcement ), and Section 55 ( Unlawful obtaining of personal data ).

Any other sequence satisfying this recurrence relation can be represented as a linear combination of the Lucas sequences U n ( P, Q ) and V n ( P, Q ).

Any basis for V over the real numbers serves as a basis for V C over the complex numbers.

Any lead-acid battery system when overcharged (> 14. 34 V ) will produce hydrogen gas ( gassing voltage ) by electrolysis of water.

Any scalar product on a real vector space V is a pairing ( set M

Any policy that was against the Ottomans was also supported by the Holy See, and Pope Sixtus V strongly expressed his support for any war between the Commonwealth and the Ottomans.

Any choice of a linear isomorphism between V and R n will then provide an orientation on V.

Any nonzero linear form ω on Λ n V determines an orientation of V by declaring that x is in the positive direction when ω ( x ) > 0.

* Category V: Any earth return mission.

Any of the stages V α and L α leading to the construction of the von Neumann universe V and Gödel's constructible universe L are transitive sets.

6.033 seconds.