[permalink] [id link]
These maps are " natural " in the following sense: the double dual operation is a functor, and the maps are the components of a natural transformation from the identity functor to the double dual functor.
from
Wikipedia
Some Related Sentences
These and maps
These roads ' designations are rarely used, but usually marked on regional maps if these roads are shown.
These days most commercial-quality maps are made using software that falls into one of three main types: CAD, GIS and specialized illustration software.
These two maps of Portuguese origin suggest that it was Portuguese navigators who first saw and mapped the Falklands.
These “ others ” were usually based upon the writings of Herodotus, and later Greek cartographers spatially situated these groups in their maps.
These maps displayed “ monstrous races ” along the periphery to denote the separation between the settled ( Europe ) and the unknown.
These maps, and others, were used to legitimize European imperialism through the use of racial delineation.
These companies published route maps of their own services but did not, generally, co-operate in advertising their services collectively.
These can include textual documents and other media such as films, video and sound recordings, illustrations, maps as well as realia such as museum objects.
These maps cannot be used as a useful resource of voter preferences, because General Councils are elected on a two-round system, which drastically limits the chances of fringe parties, for as long as they are not supported on one of the two rounds by a moderate party.
These ideas were replaced by more complex " maps " of affinities in works by Hugh Edwin Strickland and Alfred Russell Wallace.
These sketchy maps contained just enough detail so that the two could combine their independent efforts, after determining the merits of each piece.
These may use custom maps, shapes, sounds or physics files and may or may not be set in the Marathon universe.
These maps show that after the river passed Luoyang, it flowed along the border between Shanxi and Henan Provinces, then continued along the border between Hebei and Shandong before emptying into Bohai Bay near present-day Tianjin.
These points are usually on the surface of the Earth, and they are often used to establish land maps and boundaries for ownership or governmental purposes.
These and are
These are traversed by another line of vaults, and thus rooms, arched on all four sides, are formed.
These songs ( practically all Persian music, for that matter ) are limited to a range of two octaves.
These my grandmother left in their places ( they are still there, more persistent and longer-lived than the generations of man ) and planted others like them, that flourished without careful tending.
These are like the initial ways in which the world forces itself upon the self and thrusts the self into decision and choice.
These assumptions lead to an organization with one man at the top, six directly under him, six under each of these, and so on until there are six levels of personnel.
These ways are absolutely irreconcilable because they offer two different recipes for man's redemption from chaos.
These are, if the research is done with subtlety and skill, researchable topics, but the research is missing.
These moments are historical events in the lives of individual authors with which the student of comparative literature must be frequently concerned.
These lives are in themselves outside of the moral order and are unburdened with moral responsibility.
These conceptions and the manner in which they were transposed into poetry or engendered by poetic form are intrinsic to western life from the time of Aeschylus to that of Shakespeare.
These biographical analogies are obvious, and far too much time has been spent speculating on their possible implications.
These women whose organization grew out of the old suffrage movement are dedicated to Thomas Jefferson's dictum that one must cherish the people's spirit but `` Keep alive their attention ''.
These are, of course, the same people whose support he has only now rejected to seek the independent vote.
0.215 seconds.