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Any and group

* Any member of the genus Eunectes, a group of large, aquatic snakes found in South America

Any normal subgroup has a corresponding quotient group, formed from the larger group by eliminating the distinction between elements of the subgroup.

Any formal or informal group — a family, a church, a club, a business, a trade union — may be said to have government.

* Any Lie group G defines an associated real Lie algebra.

* Any topologically closed subgroup of a Lie group is a Lie group.

* Any simply connected solvable Lie group is isomorphic to a closed subgroup of the group of invertible upper triangular matrices of some rank, and any finite dimensional irreducible representation of such a group is 1 dimensional.

* Any simply connected nilpotent Lie group is isomorphic to a closed subgroup of the group of invertible upper triangular matrices with 1's on the diagonal of some rank, and any finite dimensional irreducible representation of such a group is 1 dimensional.

Any Lie group G can be decomposed into discrete, simple, and abelian groups in a canonical way as follows.

# 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 attempt to organize the group ... under a single authority would eliminate their independent initiatives, and thus reduce their joint effectiveness to that of the single person directing them from the centre.

Any symmetry group whose elements have a common fixed point, which is true for all finite symmetry groups and also for the symmetry groups of bounded figures, can be represented as a subgroup of orthogonal group O ( n ) by choosing the origin to be a fixed point.

However, in the case of a finitely presented group we know that not all the generators can be trivial ( Any individual generator could be, of course ).

* Any subgroup of a free group is free.

Any group of four students may run for office, but there must always be four students.

Any group that managed to find ways of reasoning effectively would reap benefits for all its members, increasing their fitness.

Any time during a triad conversation, group members can switch seats and one of the co-pilots can sit in the pilot ’ s seat.

Any group can be seen as a category with a single object in which every morphism is invertible ( for every morphism f there is a morphism g that is both left and right inverse to f under composition ) by viewing the group as acting on itself by left multiplication.

Any and discrete

* Any discrete valuation ring.

Any discrete variable is a segmentation.

Any discrete emotion can be used in a persuasive appeal ; this may include jealousy, disgust, indignation, fear, blue, disturbed, haunted, and anger.

* Any finite abelian group, with the discrete topology.

Any discrete subset of Euclidean space is countable, since the isolation of each of its points ( together with the fact the rationals are dense in the reals ) means that it may be mapped 1-1 to a set of points with rational co-ordinates, of which there are only countably many.

Any group can be given the discrete topology.

* Any countable discrete group with property ( T ) is finitely generated.

* Any discrete group is locally compact.

* Any discrete space is a 0-dimensional manifold.

Any and subgroup

Any subgroup of atoms of a compound also may be called a radical, and if a covalent bond is broken homolytically, the resulting fragment radicals are referred as free radicals.

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 group scheme G of finite type is an extension of the connected component of the identity ( i. e., the maximal connected subgroup scheme ) by a constant group scheme.

The theorem states: Any linearly ordered abelian group can be embedded as an ordered subgroup of the additive group ℝ Ω endowed with a lexicographical order, where ℝ is the additive group of real numbers ( with its standard order ), and Ω is the set of Archimedean equivalence classes of.

Any two components of a group commute, so the layer is a perfect central extension of a product of simple groups, and is the largest normal subgroup of G with this structure.

Any unipotent algebraic group is isomorphic to a closed subgroup of the group of upper triangular matrices with diagonal entries 1, and conversely any such subgroup is unipotent.

Any subgroup of the additive group of a zero ring is an ideal.

* Any dihedral group is metabelian, as it has a cyclic normal subgroup of index 2.

Any and 2

Any Craps ( Three-Way ): Wins if the shooter rolls 2, 3 or 12.

Any rational number with a denominator whose only prime factors are 2 and / or 5 may be precisely expressed as a decimal fraction and has a finite decimal expansion.

Note: Any nonlinear electronic block driven by two signals with frequencies f 1 and f 2 would generate intermodulation ( mixing ) products.

" In Season 2, Episode 1 (" Amok Time ", 1967 ), Captain Kirk tells Spock, " As one of Finagle's Laws puts it: ' Any home port the ship makes will be somebody else's, not mine.

Axiom 2: Any property entailed by — i. e., strictly implied by — a positive property is positive

Any overbid or underbid loses the number of points their bid was off ( a player bidding 3 tricks that wins only 2 would lose a point, as would a player bidding 2 and winning 3 ).

* ` Class 2-Medium Rigid Vehicle ' - Any rigid vehicle with GLW less than 18, 001 kg ( with Light Trailer up to 3500 kg or less ), any combination vehicle with GCW less than 12, 001 kg, any rigid vehicle of any weight with no more than 2 axles, or any Class 1 vehicle.

* ' Class 3-Medium Combination Vehicle ' - Any combination vehicle of GCW less than 25, 001 kg or any Class 2 vehicle.

* ' Class 4-Heavy Rigid Vehicle ' - Any rigid vehicle of any weight, any Combination vehicle which consists of a heavy vehicle and a light trailer, or any vehicle of Class 1 or 2 ( but not 3 ).

Any type of vinegar may be distilled to produce a colorless solution of about 5 % to 8 % acetic acid in water, with a pH of about 2. 4.

Any user can download, use, and modify XEmacs as free software available under the GNU General Public License version 2 or any later version.

Any frequency component above f s / 2 is indistinguishable from a lower-frequency component, called an alias, associated with one of the copies.

# Any pure element ( even if it forms diatomic molecules like chlorine, Cl 2 ) has an oxidation state ( OS ) of zero.

There are two exceptions: 1 ) Any affidavit sworn in the course of the collaboration and vouching documentation attaching to same and 2 ) any interim agreement made and signed off in the course of the collaboration or correspondence relating thereto.

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.

Last version VAD was working fine is 1. 1. 12, since v 1. 2 it has been replaced with simple Any Activity Detection.

Any multiples of 2 are pulled out using rule 4 ) and calculated using rule 8 ).

Any rotation matrix of size n × n can be constructed as a product of at most n ( n − 1 )/ 2 such rotations.

For example natural suited blackjacks pay 2 to 1 instead of 1. 5 to 1, Any five card 21 automatically pays 2-1, pairs of aces cannot be split, all other pairs can be split, including 4s, 5s, and 10s, only one split is allowed, doubling is allowed on hard 8, 9, 10 and 11 only, and insurance can be taken any time the dealer shows an ace, no matter what cards the player holds.

( 2 ) Any non-profit corporation, civic association, or governmental entity which has buildings and grounds open to the public may request for the appointment of constables to serve as law enforcement officers in order to protect life and property.

Walker sang on a rare Donovan's Brain track, " 22 Lost Marbles " ( which appeared on A Pot By Any Other Name, a free CD with issue 30 ( Spring 2001 ) of the independent music magazine Ptolemaic Terrascope ), and a Brain cover of a song " The Single # 2 ", originally by the band Man.

Any Fellow who shall in any way attempt to involve the Society In political disputes shall be immediately expelled ."..." 2.

Any such sequence belongs to the Hilbert space ℓ 2 , so the Hilbert cube inherits a metric from there.

D ' Enghien was found guilty of being in violation of Article 2 of a law of 6 October 1791, to wit, " Any conspiracy and plot aimed at disturbing the State by civil war, and arming the citizens against one another, or against lawful authority, will be punished by death.

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