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  2. Subnet (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Subnet_(mathematics)

    There are several different non-equivalent definitions of "subnet" and this article will use the definition introduced in 1970 by Stephen Willard, [1] which is as follows: If = and = are nets in a set from directed sets and , respectively, then is said to be a subnet of (in the sense of Willard or a Willard–subnet [1]) if there exists a monotone final function: such that = ().

  3. Subnet - Wikipedia

    en.wikipedia.org/wiki/Subnet

    Subnetting may also enhance routing efficiency, or have advantages in network management when subnets are administratively controlled by different entities in a larger organization. Subnets may be arranged logically in a hierarchical architecture, partitioning an organization's network address space into a tree-like routing structure, or other ...

  4. Millennium Prize Problems - Wikipedia

    en.wikipedia.org/wiki/Millennium_Prize_Problems

    The question is whether or not, for all problems for which an algorithm can verify a given solution quickly (that is, in polynomial time), an algorithm can also find that solution quickly. Since the former describes the class of problems termed NP, while the latter describes P, the question is equivalent to asking whether all problems in NP are ...

  5. Supernetwork - Wikipedia

    en.wikipedia.org/wiki/Supernetwork

    An example of route aggregation as a part of CIDR. A supernetwork, or supernet, is an Internet Protocol (IP) network that is formed by aggregation of multiple networks (or subnets) into a larger network.

  6. Axiomatic foundations of topological spaces - Wikipedia

    en.wikipedia.org/wiki/Axiomatic_foundations_of...

    Cauchy space – Concept in general topology and analysis; Convergence space – Generalization of the notion of convergence that is found in general topology; Filters in topology – Use of filters to describe and characterize all basic topological notions and results. Sequential space – Topological space characterized by sequences

  7. Order isomorphism - Wikipedia

    en.wikipedia.org/wiki/Order_isomorphism

    The identity function on any partially ordered set is always an order automorphism.; Negation is an order isomorphism from (,) to (,) (where is the set of real numbers and denotes the usual numerical comparison), since −x ≥ −y if and only if x ≤ y.

  8. Classless Inter-Domain Routing - Wikipedia

    en.wikipedia.org/wiki/Classless_Inter-Domain_Routing

    An analysis of this address identified three CIDR prefixes. 208.128.0.0 / 11 , a large CIDR block containing over 2 million addresses, had been assigned by ARIN (the North American RIR) to MCI . Automation Research Systems (ARS), a Virginia VAR , leased an Internet connection from MCI and was assigned the 208.130.28.0 / 22 block, capable of ...

  9. Analysis of algorithms - Wikipedia

    en.wikipedia.org/wiki/Analysis_of_algorithms

    In computer science, the analysis of algorithms is the process of finding the computational complexity of algorithms—the amount of time, storage, or other resources needed to execute them. Usually, this involves determining a function that relates the size of an algorithm's input to the number of steps it takes (its time complexity ) or the ...