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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 ...
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 >.
For example, () is the space of all sequences indexed by the integers, and when defining the -norm on such a space, one sums over all the integers. The space ℓ p ( n ) , {\displaystyle \ell ^{p}(n),} where n {\displaystyle n} is the set with n {\displaystyle n} elements, is R n {\displaystyle \mathbb {R} ^{n}} with its p {\displaystyle p ...
The proposition in probability theory known as the law of total expectation, [1] the law of iterated expectations [2] (LIE), Adam's law, [3] the tower rule, [4] and the smoothing theorem, [5] among other names, states that if is a random variable whose expected value is defined, and is any random variable on the same probability space, then
This work is free software; you can redistribute it and/or modify it under the terms of the GNU Affero General Public License as published by the Free Software Foundation; either version 3 of the License, or any later version. This work is distributed in the hope that it will be useful, but without any warranty; without even the implied ...
Activity-based working (ABW) is an organizational strategic framework that recognizes that people often perform a variety of activities in their day-to-day work, and therefore need a variety of work settings supported by the right technology and culture to carry out these activities effectively. Based on activity, individuals, teams, and the ...
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.
The track of scientific research around employee recognition and motivation was constructed on the foundation of early theories of behavioral science and psychology. [3] The earliest scientific papers on employee recognition have tended to draw upon a combination of needs-based motivation (for example, Hertzberg 1966; Maslow 1943) theories and reinforcement theory (Mainly Pavlov 1902; B.F ...