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, the symplectic group can be defined as the set of linear transformations of a 2n-dimensional vector space over F that preserve a nondegenerate, skew-symmetric, bilinear form.

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 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 recently, the work of conservative CDU leader Helmut Kohl helped bring about German Reunification, along with the closer integration of Europe in the form of the Maastricht Treaty.

" More conservative members disagreed, arguing instead that only individuals who owned land in the country should be allowed to vote.

More recently, American conservative critics of health care reform have attempted to broaden the term by applying it to any publicly funded system.

More conservative political factions in Mexico finally convinced Iturbide to return.

More conservative estimates place overall French losses between 25, 000 or 28, 000 men and either 31, 500 or 33, 000 men.

More conservative viewpoints in the West in some contexts still find it appropriate that females should cover their shoulders, particularly when entering a church or other sacred space.

More conservative critics ( especially from a Reformed and Evangelical perspective ) have complained that the course does not adequately define sin and therefore does not properly explain the reason for Jesus's death and resurrection.

More significantly, and to the surprise of most observers, the Liberals were able to win three seats in the traditionally conservative city of Calgary.

More recent classifications have been more conservative, and as a result a number of former genera are now absorbed within Papilio.

More conservative estimates place the number at " considerably in excess of 10, 000 ".

More importantly, his council introduced the idea of artists as " creative problem solvers " and by paying artists to " solve problems for the state " rather than make art, they by-passed the objections of many conservative lawmakers.

More conservative religious scholars formed the Ulema Jemyeti ( Board of Learned Men ), more concerned with safeguarding Islamic institutions and Sharia Law.

More difficult to treat with conservative treatment methods such as electrodessiccation and curettage, or with curettage alone.

More conservative Christian organizations and movements have singled out the Center for Progressive Christianity for criticism on theological grounds.

More than 150 collections make the Library an important center for the study of conservative journalistic thought, agricultural economics, famine relief, atomic energy, and governmental reorganization.

More women began wearing the veil, some because they had become more conservative religiously and others because the veil kept them from being harassed on the streets, on campuses, or at work.

More conservative estimates put this rate at 1 %, however, this seems an underestimate given the incidence of IUA following curettage reported in prospective studies and the number of D & Cs performed annually. Increased awareness about the condition and its diagnosis is also expected to reveal a higher frequency than previously reported.

More conservative layouts with 6 cylinders were abolished because of engineering and production costs ( V6 engine ) and packaging requirements ( straight 6 did not fit because front wheel drive required that it be mounted in front of the axis ).

More conservative and clerical rivals in the media, such as the newspapers ABC and El Mundo or the radio station COPE, have at times accused Polanco's related media of having a monopoly on Spanish information and being capable of presenting biased reporting.

" More recently, however, conservative bloggers and commentators have enthusiastically promoted cultural memes from the series, such as Groundskeeper Willie's derisive term for the French, " cheese-eating surrender monkeys ".

More conservative critics found elements in the plot threatening Nazi ideals of martial grandeur, and they found difficulties with reworking of the Nordic plot.

More recently, Jost, Glaser, Kruglanski, and Sullloway ( 2003 ) have presented how the traditional research in authoritarianism or conservatism has confounded the psychological variables ( e. g., personality characteristics ) with the political criteria ( conservative attitudes ).

More recently, conservative anti-intellectualism has taken the form of attacks on elites, experts, scientists, public schools and universities.

More than most toponyms, as linguistic items hydronyms are very conservative, with successor peoples often retaining the name given a body of water.