Sentence examples for the given expressions from inspiring English sources

However, a slight reformulation of the given expressions readily eliminates this difficulty as follows.

Table 12 lists the basic chemical segments found within the given expressions.

Moreover, for butt joint with single-edge crack under fatigue load, its remaining life can be predicted by using the given expressions.

We then again apply the Markov inequality with (alpha = 1 - sqrt {gamma }) and (beta = sqrt {gamma }) to obtain the given expressions for η and ℓ.

Undoubtedly, the given expression fulfills also the sufficient conditions for the class in question)., expressed in description logic as follows: (4) BrainConcussionWithLossOfConsciousness ≡ ∃ has-lart.

If the given expression does not contain variables then it is called ground.

We use the symbol (O) in the superscript to denote the Oz representation of the given expression.

Combining these equations, we obtain the given expression for η, and solving for ℓ leads to the expression for ℓ in (3).

MIN and MAX find the minimum and maximum value, respectively, of the given expression over all rows in the given table.

Equation (3) is the mutual information between user u i and the destination and as seen, the given expression is composed of two terms.

which we have calculated using the equation (cf. (2.9)) and the above given expression for.