Help


[permalink] [id link]
+
Page "Finite geometry" ¶ 44
from Wikipedia
Edit
Promote Demote Fragment Fix

Some Related Sentences

More and abstractly
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 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 and can
More than that, Sam Rayburn is the very living symbol of an iron-clad integrity so powerful in his nature and so constantly demonstrated that he can count some of his best friends in the opposition.
More unitized lumber is being shipped on flat cars, and NLRDA studies show that flat cars loaded with the new Type 6-B floating-load method can be unloaded for as little as $.054/mbf.
More and more boats move overland on wheels ( 1.8 million trailers are now in use ) and Midwesterners taking long weekends can travel south with their craft.
More indirectly, Christie ’ s famous character of Hercule Poirot can be compared to an archaeologist in his detailed scrutiny of all facts both large and small.
More alpha channels can be added for accurate spectral color filtration applications.
More technically, the law is concerned with the speedup achievable from an improvement to a computation that affects a proportion P of that computation where the improvement has a speedup of S. ( For example, if an improvement can speed up 30 % of the computation, P will be 0. 3 ; if the improvement makes the portion affected twice as fast, S will be 2.
More than one string orchestra can be utilized.
More general type of asymptotes can be defined in this case.
More can participate, either as individuals or pairs or as teams of up to six, in formal tournaments or social gatherings where the governing rules of the event are prescribed by the sponsoring host.
More explicitly it can be written as:
More generally, an n-piece cubic Bézier curve can approximate a circle, when each inner control point is the distance from an outer control point on a unit circle, where t is 360 / n degrees, and n > 2.
More than half of these can be found in the HSBC Money Gallery ( Gallery 68 ), while the remainder form part of the permanent displays throughout the Museum.
More direct government involvement can lead to specific areas of crony capitalism, even if the economy as a whole may be healthy.
More generally, compact sets can be separated by open sets: if K < sub > 1 </ sub > and K < sub > 2 </ sub > are compact and disjoint, there exist disjoint open sets U < sub > 1 </ sub > and U < sub > 2 </ sub > such that and.
More generally, electric current can be represented as the rate at which charge flows through a given surface as:
More complicated grammars can be used to parse, and other languages with even more letters.
More generally, the idea of a contractive mapping can be defined for maps between metric spaces.
More precisely, objects can be reachable in only two ways:
More recent developments have seen the conversion of AVLB and truck launched bridge with launching systems that can be mounted on either tank or truck for bridges that are capable of supporting heavy main battle tanks.
More generally, one can consider finite direct sums of matrix algebras.
More precisely, it tries to classify problems that can or cannot be solved with appropriately restricted resources.
More and more frequently can the American habit of having men dressed as Święte Mikołaje at malls to hear out children's requests be observed in Poland.
More detailed pictures of the tangle of blood vessels that compose an AVM can be obtained by using radioactive agents injected into the blood stream.
More generally a disjunction is a logical formula that can have one or more literals separated only by ORs.
More links are then connected to that person ’ s link so you can remember what colour their shirt was, what the weather was like when you met them, etc.

0.105 seconds.