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Square miles should not be confused with miles square, a square region with each side having a length of the value given. For example, a region which is 20 miles square (20 miles × 20 miles) has an area of 400 sq mi; a rectangle of measuring 10 miles × 40 miles also has an area of 400 sq mi, but is not 20 miles square.
The square root appearing above can be eliminated for such applications as ordering locations by distance in a database query. On the other hand, some methods for computing nearest neighbors, such as the vantage-point tree , require that the distance metric obey the triangle inequality , in which case the square root must be retained.
Squared Euclidean distance does not form a metric space, as it does not satisfy the triangle inequality. [20] However it is a smooth, strictly convex function of the two points, unlike the distance, which is non-smooth (near pairs of equal points) and convex but not strictly convex.
The square kilometre (square kilometer in American spelling; symbol: km 2) is a multiple of the square metre, the SI unit of area or surface area. In the SI unit of area (m 2), 1 km 2 is equal to 1M(m 2). 1 km 2 is equal to: 1,000,000 square metres (m 2) 100 hectares (ha) It is also approximately equal to: 0.3861 square miles [2] 247.1 acres [3 ...
A 7.5 minute quadrangle map covers an area of 49 to 70 square miles (130 to 180 km 2). [2] ... This page was last edited on 20 August 2023, at 01:11 (UTC).
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This is a list of countries and dependencies ranked by population density, sorted by inhabitants per square kilometre or square mile. The list includes sovereign states and self-governing dependent territories based upon the ISO standard ISO 3166-1. The list also includes unrecognized but de facto independent countries. The figures in the table ...
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