The University of Washington's Bender describes a language model as a system that has been trained on written data to " model the likelihood of different strings of word forms."
In general, since every individual polynomial has only finitely many terms, its coordinates will be some finite string of numbers with an infinite tale of zeroes.
When younger kids learn computer science, they learn that it's not just a confusing, endless string of letters and numbers, but a tool to build apps, or create artwork, or test hypotheses.
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He found that by using this system, it was possible to memorize and accurately reproduce a string of 40 digits or more, as long as the number of chunks was limited to the span of working memory.