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Questions regarding the well-definedness of a function often arise when the defining equation of a function refers not only to the arguments themselves, but also to elements of the arguments, serving as representatives. This is sometimes unavoidable when the arguments are cosets and when the equation refers to coset representatives. The result ...
Today, any formal statement or calculation that exhibits this quality of well-definedness is termed computable, while the statement or calculation itself is referred to as a computation. Turing's definition apportioned "well-definedness" to a very large class of mathematical statements, including all well-formed algebraic statements , and all ...
Let X be the unit Cartesian square [,] [,], and let ~ be the equivalence relation on X defined by (,) (,) for all [,] and (,) (,) for all [,], Then the quotient space / can be naturally identified (homeomorphism) with a torus: take a square piece of paper, bend and glue together the upper and lower edge to form a cylinder, then bend the ...
Problem discovery is an unconscious process which depends upon knowledge whereby an idea enters one's conscious awareness, problem formulation is the discovery of a goal; problem construction involves modifying a known problem or goal to another one; problem identification represents a problem that exists in reality but needs to be discovered ...
that, even after controlling for industry- and company-specific characteristics as well as background and experience of directors, having female directors reduced the insolvency risk of these companies.22 Racial diversity also is found to be good for business. A study found that a racially diverse workforce was positively associated with more
While for the definition via intersection well-definedness hinges only on the property that intersections of fields are themselves fields, here two auxiliary assertion are included. That 1. there exist minimal subfields of K that include E 1 {\displaystyle E_{1}} and E 2 {\displaystyle E_{2}} and 2. that such a minimal subfield is unique and ...
Big 12 Commissioner Brett Yormark presenting Arizona State with the title trophy and doing a little CFP politicking: "The last six weeks, there has not been a better team in college football than ASU.
A Washington, D.C. man has been arrested for threatening flight attendants on a United Airlines plane traveling from Houston to New Jersey. Kedus Yacob Damtew, 38, was charged with one count of ...