More abstractly, one talks about the product in category theory, which formalizes these notions.

More abstractly, Campbell's idea that myths are how we shape our lives deeply informs the picture of life in Glorantha throughout the game world's publication history.

More abstractly, the convex-hull operator Conv () has the characteristic properties of a closure operator:

More abstractly, one can define the dicyclic group Dic < sub > n </ sub > as any group having the presentation

More abstractly, when using infix notation

More abstractly, in classical mechanics phase space is the cotangent space of configuration space, and in this interpretaton the procedure above expresses that a choice of local coordinates on configuration space induces a choice of natural local Darboux coordinates for the standard symplectic structure on a cotangent space.

More abstractly and more precisely, it may be taken to ask whether specified axioms of Euclidean geometry concerning the existence of lines and circles entail the existence of such a square.

More abstractly, the integral can be written as the cap product of the homology class of Z and the cohomology class represented by α.

More abstractly, it can be defined as an incidence structure ( P, L, I ) consisting of a set P of points, a set L of lines, and an incidence relation I stating which points lie on which lines.

More generally and abstractly, given any group G and a representation of G on a vector space V,

More abstractly, it means that the cohomology class in the classifying space for pulls back from the cohomology class in under the inclusion ( which corresponds to the inclusion and similar ).

so too is the dual group More abstractly, these are both examples of representable functors, being represented respectively by K and T.

The order of PSL ( n, q ) is the above, divided by, the number of scalar matrices with determinant 1 – or equivalently dividing by, the number of classes of element that have no nth root, or equivalently, dividing by the number of nth roots of unity in .< ref group =" note "> These are equal because they are the kernel and cokernel of the endomorphism formally, More abstractly, the first realizes PSL as SL / SZ, while the second realizes PSL as the kernel of

More abstractly, a conservative vector field is an exact 1-form.

More generally, if W is a linear subspace of a ( possibly infinite dimensional ) vector space V then the codimension of W in V is the dimension ( possibly infinite ) of the quotient space V / W, which is more abstractly known as the cokernel of the inclusion.

More abstractly, it studies how global properties of a graph influence local substructures of the graph.

More abstractly, the mean curvature is the trace of the second fundamental form divided by n ( or equivalently, the shape operator ).

More abstractly, some aspects of the narrative appear in the crucifixion story of Jesus found in the gospels.

More abstractly: If X < sub > 1 </ sub >, ..., X < sub > n + 1 </ sub > are conditionally independent random variables that each can assume the value 0 or 1, then, if we know nothing more about them,

More abstractly and generally, we note that the two quantities asserted to be equal count the subsets of size k and n − k, respectively, of any n-element set S. There is a simple bijection between the two families F < sub > k </ sub > and F < sub > n − k </ sub > of subsets of S: it associates every k-element subset with its complement, which contains precisely the remaining n − k elements of S. Since F < sub > k </ sub > and F < sub > n − k </ sub > have the same number of elements, the corresponding binomial coefficients must be equal.

More abstractly, the " pay-off set " ( i. e., the set of all plays in which the angel wins ) is a closed set ( in the natural topology on the set of all plays ), and it is known that such games are determined.

More abstractly, f is proper if for any space Z the map

More abstractly, " G-bundles over X " is a functor in G: given a map H → G, one gets a map from H-bundles to G-bundles by inducing ( as above ).

More abstractly, a natural class of objects to study in topology are objects that are homogeneous ( all points are topologically the same: the group of self-homeomorphisms acts transitively ) and " finite type " or " tame " ( to rule out spaces such as the Cantor set, where each open set contains uncountably many connected components ); more generally, a space of " finite type " where the self-homeomorphism group has finitely many orbits, forming the strata.

More generally, one can consider groups associated to n-dimensional systems, and most generally, to any symplectic vector space.

More general Heisenberg groups H < sub > n </ sub > may be defined for higher dimensions in Euclidean space, and more generally on symplectic vector spaces.

More generally, especially as applied to symplectic geometry and singularity theory, a caustic is the critical value set of a Lagrangian mapping where is a Lagrangian immersion of a Lagrangian submanifold L into a symplectic manifold M, and is a Lagrangian fibration of the symplectic manifold M. The caustic is a subset of the Lagrangian fibration's base space B.

More generally, this technique leads to deformation quantization, where the ★- product is taken to be a deformation of the algebra of functions on a symplectic manifold or Poisson manifold.

More generally, the n < sup > th </ sup > exterior power of the symplectic form on a symplectic manifold is a volume form.

These include Word of God ( established in 1967 ), a charismatic inter-denominational movement ; and the Thomas More Law Center ( established in 1999 ), a religious-conservative advocacy group.

More compactly, an abelian group is a commutative group.

In the 1990s, Peter formed One More Time, a group that enjoyed European success with the ABBA-like " Highland " and, later, as Sweden's entry to the Eurovision Song Contest 1996.

* More generally, compact groups such as an orthogonal group are compact, while groups such as a general linear group are not.

More significantly, the jury also found that the leading anti-cult group known as the Cult Awareness Network was a co-conspirator in the crime and fined CAN $ 1, 000, 000 in punitive damages, forcing the group into bankruptcy.

More generally, the fundamental group of any graph is a free group.

More formally, a " representation " means a homomorphism from the group to the automorphism group of an object.

* No More Drama ( group ), an American teen group where Howie Dorough was the manager

More recently, advocates for radical reform in justice systems have called for a public policy adoption of non-punitive, non-violent Restorative Justice methods, and many of those studying the success of these methods, including a United Nations working group on Restorative Justice, have attempted to re-define justice in terms related to peace.

Allmusic. com's Stephen Thomas Erlewine states that "... More than any other hip-hop group, Run-D. M. C.

More precisely, H is a subgroup of G if the restriction of * to H x H is a group operation on H. This is usually represented notationally by H ≤ G, read as " H is a subgroup of G ".

More recently, House's music has influenced the blues rock group The White Stripes, who covered his song " Death Letter " ( also reworked by Skip James and Robert Johnson ) on their album De Stijl, and later performed it at the 2004 Grammy Awards.

This group includes Jan Baptist van Helmont ( 1618-1699 ), Robert Fludd ( 1574-1637 ), John Pordage ( 1608-1681 ), Jane Leade ( 1623-1704 ), Henry More ( 1614-1687 ), Pierre Poiret ( 1646-1719 ), and Antoinette Bourignon ( 1616-1680 ).

More precisely, if A is a finite set of generators for G then the word problem is the membership problem for the formal language of all words in A and a formal set of inverses that map to the identity under the natural map from the free monoid with involution on A to the group G. If B is another finite generating set for G, then the word problem over the generating set B is equivalent to the word problem over the generating set A.

More independent but clearly to the left of the political spectrum are the Centro de Investigaciones de Relaciones Internacionales y Desarrollo ( CIDOB ) founded in 1973 ; and the Fundación para las Relaciones Internacionales y el Diálogo Exterior ( FRIDE ) established in 1999 by Diego Hidalgo and main driving force behind projects such as the Club de Madrid, a group of democratic former heads of state and government, or the Foreign Policy Spanish Edition.

More generally, Euclidean n-space R < sup > n </ sup > with addition and standard topology is a topological group.

More recently, in 2009 Eric Scheid, also known as " Titus ," released a single called " What Do You Believe " featuring Bizzy Bone from the nationally known hip hop group Bone Thugs-n-Harmony.

Holbein also painted the Bavarian astronomer and mathematician Nicholas Kratzer, a tutor of the More family whose notes appear on Holbein's sketch for their group portrait.

In 1787, he came into contact with Thomas Clarkson and a group of anti-slave-trade activists, including Granville Sharp, Hannah More and Charles Middleton.