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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 ...
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 ...
The definition of a formal proof is intended to capture the concept of proofs as written in the practice of mathematics. The soundness of this definition amounts to the belief that a published proof can, in principle, be converted into a formal proof. However, outside the field of automated proof assistants, this is rarely done in practice.
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
became crucial. This type of performance evaluation required the definition of both particular standards and broader objectives in the pursuit of educational goals. Second, these standards and assessment-based reforms also included the involvement and feedback of various stakeholders in both the public and the private sector.
Save a physical copy of important emails you've sent or received. Check out how to print emails and attachments in AOL Mail. 1. Open the email you'd like to print. 2. Click the Print icon. - A window will appear with your message. 2. Click the Print icon again. 3. Follow the browser prompts to finish printing.
Hence the functional calculus is well-defined. Consequently, if f 1 and f 2 are two holomorphic functions defined on neighborhoods D 1 and D 2 of σ(T) and they are equal on an open set containing σ(T), then f 1 (T) = f 2 (T). Moreover, even though the D 1 may not be D 2, the operator (f 1 + f 2) (T) is well-defined. Same holds for the ...