Sentence examples for consider the function for from inspiring English sources

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Consider the function for.

Consider the function for defined as (3.1).

Under assumptions (H.1 - H.2), consider the function, for, defined by (5.6).

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The idea is to consider the functions for all as noisy estimations of.

A materialist view of psychology requires that we eventually consider the functions for which the mind has been sculpted by natural and sexual selection.

For example a function Φ x, y) of two variables x and y can be reduced to a collection of functions of a single variable, e.g., y, by "considering" the function for all possible values of "individuals" ai substituted in place of variable x.

And then the resulting collection of functions of the single variable y, i.e., ∀ai: Φ ai, y), can be reduced to a "matrix" of values by "considering" the function for all possible values of "individuals" bi substituted in place of variable y: :∀bj∀ai: Φ ai, bj).

Consider the function,, then for, and, we have (2.4).

To be specific, we consider the function v(x) for the following two noteworthy cases, for which (2) can be easily calculated: 1.

Now, consider the function which is, for, strictly increasing on the open interval and, for any [4, page 42].

Case 2. We consider the function defined by (2.11) for In this case, the inequality (2.13) holds too and this implies that.

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