Sentence examples for follows provided from inspiring English sources

For and, we define as follows (provided it exists): (2.1).

Now, our conclusion follows provided that (J_{lambda}) does not possess a global minimum.

We define the function space as follows: provided that is defined for and is rd-continuous function and nonnegative.

The asymptotic values of the partial populations can be calculated from (5.1)–(5.4) as time tends to infinity as follows provided that the involved right-hand-side integrals exist: (5.5).

The wake that follows provides a vivid introduction to its milieu and characters.

Discussion with medical school faculty follows, providing a clinical correlate to the gallery session.

(i) which read as follows: "providing the needed functions safely, reliably, and at the lowest overall cost;".

Many papers are analysed and summarised as follows, providing useful guidance for this study.

The result that follows provides a probability inequality under a moment condition.

Some of the key principles are summarized as follows: Provide a clear message.

In the box that follows, provide any and all information you can regarding that individual.