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Resolving the vicinity of supermassive black holes with gravitational microlensing

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Jordan curve theorem

In topology, the Jordan curve theorem asserts that every Jordan curve (a plane simple closed curve) divides the plane into an "interior" region bounded by the curve and an "exterior" region containing all of the nearby and far away exterior points. Every continuous path connecting a point of one region to a point of the other intersects with the curve somewhere. While the theorem seems intuitively obvious, it takes some ingenuity to prove it by elementary means.

Interpunct

An interpunct , also known as an interpoint, middle dot, middot, centered dot or centred dot, is a punctuation mark consisting of a vertically centered dot used for interword separation in Classical Latin. (Word-separating spaces did not appear until some time between 600 and 800 CE.) It appears in a variety of uses in some modern languages and is present in Unicode as . The multiplication dot (Unicode ) is frequently used in mathematical and scientific notation, and it may differ in appearance from the interpunct.

Symmedian

In geometry, symmedians are three particular lines associated with every triangle. They are constructed by taking a median of the triangle (a line connecting a vertex with the midpoint of the opposite side), and reflecting the line over the corresponding angle bisector (the line through the same vertex that divides the angle there in half). The angle formed by the symmedian and the angle bisector has the same measure as the angle between the median and the angle bisector, but it is on the other side of the angle bisector.

Full stop

The full stop (Commonwealth English), period (North American English), or full point is a punctuation mark. It is used for several purposes, most often to mark the end of a declarative sentence (as distinguished from a question or exclamation). This sentence-ending use, alone, defines the strictest sense of full stop. Although full stop technically applies only when the mark is used to end a sentence, the distinction – drawn since at least 1897 – is not maintained by all modern style guides and dictionaries.