Any-symmetric-space-gives-an-involutory-quandle

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Any and symmetric

Any square diagonal matrix is also a symmetric matrix.

Any brightness distribution can be written as the sum of a symmetric component and an anti-symmetric component.

Any n × n real symmetric matrix A determines a quadratic form q A in n variables by the formula

Any symmetric matrix A can be transformed into a diagonal matrix

* Any symmetric odd theta divisor on is given by the set points, where w is a Weierstrass point on.

Any payoff symmetric 2x2 game will take one of these three forms.

Any non-singular matrix S of the same size is said to transform A into another symmetric matrix B = SAS T , also of order n, where S T is the transpose of S. If A is the coefficient matrix of some quadratic form of R n , then B is the matrix for the same form after the change of coordinates defined by S.

Any symmetric real matrix A has an eigendecomposition of the form QEQ T where E is a diagonal matrix containing the eigenvalues of A, and Q is an orthonormal square matrix containing the eigenvectors.

Any Riemannian symmetric space M is complete and Riemannian homogeneous ( meaning that the isometry group of M acts transitively on M ).

Any compact Riemann surface of genus greater than 1 ( with its usual metric of constant curvature − 1 ) is a locally symmetric space but not a symmetric space.

Any centrally symmetric convex body of surface area A can be squeezed through a noose of length, with the tightest fit achieved by a sphere.

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

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 vector space V endowed with the identically zero Lie bracket becomes a Lie algebra.

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

Any and gives

* Any expression formed using any combination of the basic arithmetic operations and extraction of nth roots gives an algebraic number.

Any accelerating electric charge, and therefore any changing electric current, gives rise to an electromagnetic wave that propagates at very high speed outside the surface of the conductor.

* Properly with a generic referent: " Any cow gives milk.

Any meromorphic function f gives rise to a divisor denoted ( f ) defined as

* Any Lie group gives a Lie groupoid with one object, and conversely.

* Any foliation gives a Lie groupoid.

* Any principal bundle with structure group G gives a groupoid, namely over M, where G acts on the pairs componentwise.

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 point x gives rise to a continuous function p x from the one element topological space 1 ( all subsets of which are open ) to the space X by defining p x ( 1 ) = x. Conversely, any function from 1 to X clearly determines one point: the element that it " points " to.

Any ξ ∈ gives rise to a canonical vertical vector field X ξ by taking the derivative of the right action of the 1-parameter subgroup of H associated to ξ.

Any prime number p gives rise to an ideal pO K in the ring of integers O K of a quadratic field K.

Any n-dimensional formal group law gives an n dimensional Lie algebra over the ring R, defined in terms of the quadratic part F 2 of the formal group law.

Any surface that intersects the wire has current I passing through it so Ampère's law gives the correct magnetic field.

Any ring homomorphism A → B gives a map K 0 ( A ) → K 0 ( B ) by mapping ( the class of ) a projective A-module M to M ⊗ A B, making K 0 a covariant functor.

:( 1 ) Any person who manufactures, sells or hires or offers for sale or hire, or exposes or has in his possession for the purpose of sale or hire or lends or gives to any other person —

Any kind of connection on a manifold gives rise, through its parallel transport maps, to some notion of holonomy.

Any skew semistandard tableau of shape / with positive integer entries gives rise to a sequence of partitions ( or Young diagrams ), by starting with, and taking for the partition places further in the sequence the one whose diagram is obtained from that of by adding all the boxes that contain a value ≤ in ; this partition eventually becomes equal to.

Any attempt to drastically increase this range ( by increasing the angular extent of the true radius lobe nose region ) soon gives rise to problems with excessive rates of valve acceleration etc.

Any nontrivial line arrangement on RP 2 defines a graph in which each face is bounded by at least three edges, and each edge bounds two faces ; so, double counting gives the additional inequality F ≤ 2E / 3.

Let now v and w be two vertices in G. Any spanning tree contains precisely one simple path between v and w. Taking this path in the uniform spanning tree gives a random simple path.

Any topological space X gives rise to a category where the objects are the points of X and the morphisms are the homotopy classes of paths.

In his letter, Polding gives Wardell a completely free hand in the design, saying " Any plan, any style, anything that is beautiful and grand, to the extent of our power.

Any premetric gives rise to a preclosure operator cl as follows:

2.529 seconds.