Sentence examples for this value exists from inspiring English sources

f Δ i n ( t ) (if this value exists) denotes taking the partial derivative of f ( t ) with respect to t i n times.  .

f Δ i j ( t ) (if this value exists) denotes first taking the partial derivative with respect to t i and then taking the partial derivative with respect to t j, so that f Δ i j = ( f Δ i ) Δ j, i, j = 1, 2. f Δ i n ( t ) (if this value exists) denotes taking the partial derivative of f ( t ) with respect to t i n times.

Let us agree that a simple (real-valued) random variable on a test space A is a mapping f : E → R where E is a test in A. We define the expected value of f in a state ω ∈ ω(A) in the obvious way, namely, as the expected value of f with respect to the probability weight obtained by restricting ω to E (provided, of course, that this expected value exists).

Much of this book's entertainment value exists on a lower plane.

In this scenario, the minimal value exists if the rotation axis is parallel to the longest side of the triangle, which is the side respected to angle (gamma) since (gamma >pi /3).

An underlying assumption throughout this paper is that a threshold value exists in every dose-response relationship.

Pseudo peak value exists with probability p. we call this kind of condition is Pseudo-Peak Condition.

Somewhere, however, a middle ground of good value exists.

Sale of US assets may be more problematic in current credit conditions, but value exists.

Whilst the company does have good income attractions and strong returns we feel superior value exists elsewhere.

"No new Jetstar ventures will be established while the group is focused on transformation, but we know that substantial value exists across the Jetstar airlines and we will realise that value over time".