Some articles on sets, set:
... fi X → Yi} separates points from closed sets in X if for all closed sets A in X and all x not in A, there exists some i such that where cl denoting the closure ... A family of continuous maps {fi X → Yi} separates points from closed sets if and only if the cylinder sets, for U open in Yi, form a base for the topology on X ... whenever {fi} separates points from closed sets, the space X has the initial topology induced by the maps {fi} ...
... In the case of music, contemporary box sets are usually made up of four or more discs boxes, covering a broad range of boxes of the music of a given artist or genre ... or "essential" collections of their boxes of music released as box sets ... Some box sets collect together previously released boxes of singles or albums by a music artist, and often collect the complete discography of an artist such as Pink Floyd's Oh, by the Way ...
... Given a set X and an indexed family (Yi)i∈I of topological spaces with functions the initial topology τ on is the coarsest topology on X such that each is continuous ... Explicitly, the initial topology may be described as the topology generated by sets of the form, where is an open set in ... The sets are often called cylinder sets ...
1) Transaction Set (997) will be replaced by Transaction Set (999) "acknowledgement report" ... segments have been removed from existing Transaction Sets. 4) Many segments have been added to existing Transaction Sets allowing greater tracking and reporting of cost and patient encounters ...
Famous quotes containing the word sets:
“Certain anthropologists hold that man, having discovered tools, ceased to evolve biologically. Animals, never having discovered them, continue to fashion drills out of their beaks, oars out of their hind feet, wings out of their forefeet, suits of armor out of their hides, levers out of their horns, saws out of their teeth. Whether this be true or not, all authorities agree that man is the tool-using animal. It sets him off from the rest of the animal kingdom as drastically as does speech.”
—Stuart Chase (1888–1985)
“In my dealing with my child, my Latin and Greek, my accomplishments and my money stead me nothing; but as much soul as I have avails. If I am wilful, he sets his will against mine, one for one, and leaves me, if I please, the degradation of beating him by my superiority of strength. But if I renounce my will, and act for the soul, setting that up as umpire between us two, out of his young eyes looks the same soul; he reveres and loves with me.”
—Ralph Waldo Emerson (1803–1882)
“It is mediocrity which makes laws and sets mantraps and spring-guns in the realm of free song, saying thus far shalt thou go and no further.”
—James Russell Lowell (1819–91)