compactify การใช้

• One solution is to " compactify " them, or make them very small and imperceptible.
• Unparametrized index-2 flows come in one-dimensional families, which compactify to compact one-manifolds.
• After Calabi Yau manifolds had entered physics as a way to compactify extra dimensions, many physicists began studying these manifolds.
• After Calabi Yau manifolds had entered physics as a way to compactify extra dimensions in string theory, many physicists began studying these manifolds.
• It is also possible to compactify the real line by adding " two " points, +  " and- "; this results in the extended real line.
• Further, in a much simpler fashion one may consider a model with only one extra dimension ( a type of Kaluza Klein model ) and compactify down to a four-dimensional theory.
• The fact that this defines a complex ( that is, that " d " 2 = 0 ) follows from an understanding of how the moduli spaces of gradient flows compactify.
• More generally, one can compactify F-theory on an elliptically fibered manifold ( elliptic fibration ), i . e . a fiber bundle whose fiber is a two-dimensional torus ( also called an elliptic curve ).
• His first work on this subject, in his thesis, concerned the " compactness degree " of a space : this is a number, defined to be & minus; 1 for a compact space, and 1 + " x " if every point in the space has a compactify it.
• As an important example of this, 11D-Supergravity contains a 3-form antisymmetric tensor with a 4-form field strength, and consequently prefers to compactify 7 or 4 of its space-like dimensions, so the large-scale spacetime must be either 4 or 7 dimensional, the former of which is attractive from a phenomenological perspective
• :: : Colin, your question involves taking a " discrete quotient " of Minkowski vacuum to " roll up " ( " compactify " is the fancy term ) one spatial dimension . " Twin paradox " thought experiments ( of course, the " paradox " here is more apparent that real ! ) in such spacetimes have been considered by various authors.
• Note the similitude of this extension topology construction and the Alexandroff one-point compactification, in which case, having a topological space X which one wishes to compactify by adding a point  " in infinity, one considers the closed sets of X * " {  " } to be the sets of the form : K, where K is a closed compact set of X, or B * " {  " }, where B is a closed set of X.