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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 ...
The well-definedness condition corresponds to the requirement that every infinite path must eventually pass through a sufficiently long node: the same requirement that is needed to invoke a bar induction. The principles of bar induction and bar recursion are the intuitionistic equivalents of the axiom of dependent choices. [3]
Depending on the type of singularity in the integrand f, the Cauchy principal value is defined according to the following rules: . For a singularity at a finite number b + [() + + ()] with < < and where b is the difficult point, at which the behavior of the function f is such that = for any < and = for any >.
Writing assessment refers to an area of study that contains theories and practices that guide the evaluation of a writer's performance or potential through a writing task. Writing assessment can be considered a combination of scholarship from composition studies and measurement theory within educational assessment . [ 1 ]
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 ...
General "How Well Do You Know Me" Questions. 1. What color are my eyes? (Obviously, it's better to close your eyes when you ask this one.) 2. What is my least favorite season of the year?
LONDON/SINGAPORE (Reuters) -European shares ticked up on Thursday after falling the previous day, while Asian stocks slipped, as trading volumes thinned ahead of the U.S. Thanksgiving holiday.
This list of style guide abbreviations provides the meanings of the abbreviations that are commonly used as short ways to refer to major style guides.They are used especially by editors communicating with other editors in manuscript queries, proof queries, marginalia, emails, message boards, and so on.