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Let us make use of function (rho ^{m_{i}}_{f_{i}}(x_{i})) to define the following social ordering function: Social ordering function 1.
The flexibility of this policy-gradient approach, combined with its low memory use, the use of function approximation methods and factorisation of the policy, allow us to tackle complex domains.
Helped by a grad student sleuth named Sherlock Campbell, Pennebaker looked past the content-related terms to discover that a change in the use of function words, particularly pronouns, was the best indicator of improved mental health.
(Periphrastic constructions involve the use of function words and auxiliaries.) In the earlier period numerous words (mostly Latin) were imported: the chronicler Malalas has (in their modern form) pórta 'door,' kámbos 'plain,' saíta 'arrow,' paláti 'palace,' spíti 'house' (from hospitium), and hundreds of other borrowings, not all of which have survived.
Also described is the application of value analysis, value engineering and the use of function analysis.
A much weaker choice for approximating initial value is the use of function G x,N) based on Equations 4 and 5.
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Decompositional analysis does indeed play a role in Frege's philosophy, but what is of greater significance is Frege's use of function-argument analysis, which operates in some tension to whole-part analysis.
This development, by extending the use of function-argument analysis in mathematics to logic and providing a notation for quantification, was essentially the achievement of his first book, the Begriffsschrift (1879), where he not only created the first system of predicate logic but also, using it, succeeded in giving a logical analysis of mathematical induction (see Frege FR, 47-78).
The key feature is the use of functions to describe the shape of the cross-section.
Regularization is a technique used to capture the real trend of data by use of functions and avoids over fitting.
In order to achieve this, we make use of functions already provided by cloud infrastructures rather than replicating them.
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