If you have a point, and you have a chart, that tells you what the other points of $S$ are near $p$.
By the implicit function theorem, if $S$ is any submanifold of $N$, and $p\in S$, we can find a coordinate chart such that near $p$ the inclusion of $S$ into $N$ looks like the inclusion if $\mathbb^k\subset \mathbb^n$.
The thesaurus of synonyms and related words is fully integrated into the dictionary.
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consistent strands of his thought; Bausi uses the tools of philology to interpret the puzzling coincidence of different vocabularies and styles in Pico's early works; and James attends to the rhetorical strategies of Arienti's writings for different seigneurial patrons, gauging the strictures that audience and social context imposed upon his efforts.
90% of the time, speakers of English use just 7,500 words in speech and writing.
Consequently, these studies ..ploscompbiol.org/.../info:doi/10.1371/ 1000662 - Cached - Similar Elucidating the Mashup Hype: Definition, Challenges,.
What a puckering of his bright boyish forehead, what a grave determination to elucidate the fable!Phrased differently, the condition that you wanted to hold happens for EVERY submanifold.So what this definition does is gives a topological restriction that you can't have different parts of the submanifold coming too close together.It may help to elucidate this matter if we regard it from another point of view.A few examples will perhaps serve to strengthen as well as to elucidate still further this position.
This letter might elucidate it—might throw light where so much was needed.