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A product of locally compact spaces need not be locally compact. However, an arbitrary product of locally compact spaces where all but finitely many are compact is locally compact (This condition is sufficient and necessary). Connectedness. Every product of connected (resp. path-connected) spaces is connected (resp. path-connected).
Products on shelves at a Fred Meyer hypermarket superstore. In marketing, a product is an object, or system, or service made available for consumer use as of the consumer demand; it is anything that can be offered to a domestic or an international market to satisfy the desire or need of a customer. [1]
Product is the fourth studio album by British jazz fusion group Brand X, originally released in 1979. It features primary member Phil Collins back once again on drums following his absence on Masques .
Bayer and Flamsteed covered only a few thousand stars between them. In theory, full-sky catalogues try to list every star in the sky. There are, however, billions of stars resolvable by 21st century telescopes, so this is an impossible goal; with this kind of catalog, an attempt is generally made to get every star brighter than a given magnitude.
In mathematics, an empty product, or nullary product or vacuous product, is the result of multiplying no factors.It is by convention equal to the multiplicative identity (assuming there is an identity for the multiplication operation in question), just as the empty sum—the result of adding no numbers—is by convention zero, or the additive identity.
One method to obtain an MPS representation of a quantum state is to use Schmidt decomposition N − 1 times. Alternatively if the quantum circuit which prepares the many body state is known, one could first try to obtain a matrix product operator representation of the circuit.
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