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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.
In the Zork series of games, the Great Underground Empire has its own system of measurements, the most frequently referenced of which is the bloit. Defined as the distance the king's favorite pet can run in one hour (spoofing a popular legend about the history of the foot), the length of the bloit varies dramatically, but the one canonical conversion to real-world units puts it at ...
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]
This was an official unit of measurement in South Africa until the 1970s, and was defined in November 2007 by the South African Law Society as having a conversion factor of 1 morgen = 0.856 532 hectares. [28] This unit of measure was also used in the Dutch colonial province of New Netherland (later New York and parts of New England). [29] [30]
A unit of measurement, or unit of measure, is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity. [1] Any other quantity of that kind can be expressed as a multiple of the unit of measurement. [2] For example, a length is a physical quantity.
Projective geometry is the study of geometry without measurement, just the study of how points align with each other. There had been some early work in this area by Hellenistic geometers, notably Pappus (c. 340). The greatest flowering of the field occurred with Jean-Victor Poncelet (1788–1867).
An American-style 15×15 crossword grid layout. A crossword (or crossword puzzle) is a word game consisting of a grid of black and white squares, into which solvers enter words or phrases ("entries") crossing each other horizontally ("across") and vertically ("down") according to a set of clues. Each white square is typically filled with one ...
Euclidean geometry is a mathematical system attributed to ancient Greek mathematician Euclid, which he described in his textbook on geometry, Elements.Euclid's approach consists in assuming a small set of intuitively appealing axioms (postulates) and deducing many other propositions from these.