topological structure वाक्य
उदाहरण वाक्य
मोबाइल
- Y . Hattori 2010 . " Order and topological structures of posets of the formal balls on metric spaces " . " Memoirs of the Faculty of Science and Engineering.
- SALSA is less vulnerable to the Tightly Knit Community ( TKC ) effect than HITS . A TKC is a topological structure within the Web that consists of a small set of highly interconnected pages.
- In general, the concept of distance is of practical interest for applications, while topological structure is needed for Palm distributions, meaning that point processes are usually defined on mathematical spaces with metrics.
- Certainly the discrete metric space is free when the morphisms are all uniformly continuous maps or all continuous maps, but this says nothing interesting about the metric structure, only the uniform or topological structure.
- More generally, a point is an element of any set with an underlying topological structure; e . g . an element of a metric space or a topological group is also a " point ".
- In physics, a spin foam is a topological structure made out of two-dimensional faces that represents one of the configurations that must be summed to obtain a Feynman's path integral ( functional integration ) description of quantum gravity.
- The topological structure of maximal lattice free convex bodies : the general case ( with I . B�r�ny and D . F . Shallcross ), 1998, in Mathematical Programming, Vol . 80, No . 1, pp . 1 15.
- Since each iteration of the generalized solution proceeding toward a minimum cost objective has a new assignment of products to machines, the topological structure of loops and chains at the beginning of an iteration is broken, and a new such structure is produced.
- The notion of closed set is defined above in terms of open sets, a concept that makes sense for topological spaces, as well as for other spaces that carry topological structures, such as metric spaces, differentiable manifolds, uniform spaces, and gauge spaces.
- Even though the topological structure of Fr�chet spaces is more complicated than that of Banach spaces due to the lack of a norm, many important results in functional analysis, like the Hahn Banach theorem, the open mapping theorem, and the Banach Steinhaus theorem, still hold.
- The Tetrad, with its fourfold M�bius topological structure of enhancement, reversal, retrieval and obsolescence, is mobilized by McLuhan and Powers to illuminate the media or technological inventions of cash money, the compass, the computer, the database, the satellite, and the global media network.
- In this coordinatization, which has a distorted geometry from the standard diamond cubic structure but has the same topological structure, the vertices of the diamond cubic are represented by all possible 3d grid points and the edges of the diamond cubic are represented by a subset of the 3d grid edges.
- In physics, a "'spinfoam "'or "'spin foam "'is a topological structure made out of two-dimensional faces that represents one of the configurations that must be summed by functional integration to obtain a Feynman's path integral description of quantum gravity.
- Indeed, several classic results in random graph theory show that even networks with no real topological structure exhibit the small-world phenomenon, which mathematically is expressed as the diameter of the network growing with the logarithm of the number of nodes ( rather than proportional to the number of nodes, as in the case for a lattice ).
- Let ( \ Omega, \ mathcal F, \ mathfrak P ) be a probability space, and let the random variables " X ", " Y ", and " Z " each be defined as a Borel-measurable function from \ Omega to some state space endowed with a topological structure.
- However, contrary to the topological structure which is unique ( topologically, there is only one way to make the real line " longer " at either end ), the differentiable structure is not unique : in fact, for each natural number " k " there exist infinitely many " C k + 1 " or " C & infin; " structures on the long line or ray inducing any given " C k " structure on it.
- Traditional envelope theorem derivations use the first-order condition for ( 1 ), which requires that the choice set X have the convex and topological structure, and the objective function f be differentiable in the variable x . ( The argument is that changes in the maximizer have only a " second-order effect " at the optimum and so can be ignored . ) However, in many applications such as the analysis of incentive constraints in contract theory and game theory, nonconvex production problems, and " monotone " or " robust " comparative statics, the choice sets and objective functions generally lack the topological and convexity properties required by the traditional envelope theorems.
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