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The following objects are central in geometric measure theory: Hausdorff measure and Hausdorff dimension; Rectifiable sets (or Radon measures), which are sets with the least possible regularity required to admit approximate tangent spaces. Characterization of rectifiability through existence of approximate tangents, densities, projections, etc.
It was usually used to measure depth, tunnel driving and the size of mining fields; it was also used for contract work. In mining in the German-speaking countries, it was the primary unit of length. Ligne – a French unit of length, roughly equal to 2.25 mm (0.089 in), or 9 points
The measure is the number of times one's name has appeared in The New York Times crossword puzzle as either a clue or solution. Arguably, this number should only be calculated for the Shortz era (1993–present). Shortz himself is 1 Shortz famous. [citation needed]
Geometry (from Ancient Greek γεωμετρία (geōmetría) 'land measurement'; from γῆ (gê) 'earth, land' and μέτρον (métron) 'a measure') [1] is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. [2]
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Established standard objects and events are used as units, and the process of measurement gives a number relating the item under study and the referenced unit of measurement. Measuring instruments, and formal test methods which define the instrument's use, are the means by which these relations of numbers are obtained.
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The hexagonal packing of circles on a 2-dimensional Euclidean plane. These problems are mathematically distinct from the ideas in the circle packing theorem.The related circle packing problem deals with packing circles, possibly of different sizes, on a surface, for instance the plane or a sphere.