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All possible polar topologies on a dual pair are finer than the weak topology and coarser than the strong topology. The complex vector space C n may be equipped with either its usual (Euclidean) topology, or its Zariski topology. In the latter, a subset V of C n is closed if and only if it consists of all solutions to some system of polynomial ...
See Finer topology. Limit point A point x in a space X is a limit point of a subset S if every open set containing x also contains a point of S other than x itself. This is equivalent to requiring that every neighbourhood of x contains a point of S other than x itself. Limit point compact See Weakly countably compact. Lindelöf
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The definition of a point of closure of a set is closely related to the definition of a limit point of a set.The difference between the two definitions is subtle but important – namely, in the definition of a limit point of a set , every neighbourhood of must contain a point of other than itself, i.e., each neighbourhood of obviously has but it also must have a point of that is not equal to ...
No matter how you debate the finer points, climate change is the overarching concern of Polar Bears International. As Cutting puts it, by 2100, as much as two-thirds of the already dwindling ...
Granularity (also called graininess) is the degree to which a material or system is composed of distinguishable pieces, "granules" or "grains" (metaphorically). It can either refer to the extent to which a larger entity is subdivided, or the extent to which groups of smaller indistinguishable entities have joined together to become larger distinguishable entities.
On the other hand, in electron microscopy, line or fringe resolution is the minimum separation detectable between adjacent parallel lines (e.g. between planes of atoms), whereas point resolution is instead the minimum separation between adjacent points that can be both detected and interpreted e.g. as adjacent columns of atoms, for instance ...
Mortgage points can reduce the interest rate on your loan, but they don't always save you money. Find out whether to buy them or skip them for your home purchase.