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Ind-objects in C form a category ind-C.. Two ind-objects : and : determine a functor I op x J Sets,. namely the functor ((), ()). The set of morphisms between F and G in Ind(C) is defined to be the colimit of this functor in the second variable, followed by the limit in the first variable:
Matrix completion of a partially revealed 5 by 5 matrix with rank-1. Left: observed incomplete matrix; Right: matrix completion result. Matrix completion is the task of filling in the missing entries of a partially observed matrix, which is equivalent to performing data imputation in statistics. A wide range of datasets are naturally organized ...
The term complete partial order, abbreviated cpo, has several possible meanings depending on context. A partially ordered set is a directed-complete partial order (dcpo) if each of its directed subsets has a supremum. (A subset of a partial order is directed if it is non-empty and every pair of elements has an upper bound in the subset.)
An example is a tax return; filling one out is required in order for the amount of tax one owes to be determined. A form may also be a request for a tax refund. Forms may be filled out in duplicate (or triplicate, meaning three times) when the information gathered on the form needs to be distributed to several departments within an organisation.
The source code comes with a 'complete.tcsh' file containing many examples of its completion syntax. Windows PowerShell , the extensible command shell from Microsoft, which is based on object-oriented programming and the Microsoft .NET framework, provides powerful and customizable completion capabilities similar to those of traditional Unix shells.
"NP-complete problems are the most difficult known problems." Since NP-complete problems are in NP, their running time is at most exponential. However, some problems have been proven to require more time, for example Presburger arithmetic. Of some problems, it has even been proven that they can never be solved at all, for example the halting ...
The streamlined filing compliance procedures (called the streamlined procedures for short when the context is clear) is a set of procedures offered by the Internal Revenue Service in the United States to help United States taxpayers (individual taxpayers or couples filing jointly only; institutions cannot avail of these procedures) get back in compliance on the fronts of paying taxes related ...
The time within which the response to a RFE must be sent is indicated on the RFE. It generally varies between 30 and 90 days. If no response is received within the time indicated on the RFE, the USCIS will process the application without considering the additional evidence, which in most cases means a denial (because petitions where there was enough evidence to accept should not have RFEs in ...