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To put it another way, simple systems use a template not unlike a Word document mail merge, but more complex NLG systems dynamically create text.
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There are various types of generating functions, including ordinary generating functions, exponential generating functions, Lambert series, Bell series, and Dirichlet series; definitions and examples are given below.
Every sequence in principle has a generating function of each type (except that Lambert and Dirichlet series require indices to start at 1 rather than 0), but the ease with which they can be handled may differ considerably.
A 2008-10-08: bulk-forming/generating (plant) variety A 2008-09-24: When generating electricity from a... A 2005-11-18: value generating, add value A 2005-08-30: value-generating activities A 2005-05-31: Self-hypnotic heat generating mantras F 2005-02-02: generating growth A 2004-04-29: If the Certificate type is Relievi...
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The water, however, does not move away from the generating source.
The generating idea, the word, was not only at the foundation of all these edifices, but also in the form.
It could be said an NLG system is like a translator that converts data into a natural language representation.
However, the methods to produce the final language are different from those of a compiler due to the inherent expressivity of natural languages.
Generating functions were first introduced by Abraham de Moivre in 1730, in order to solve the general linear recurrence problem.