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In algebraic geometry varieties transform via regular n-ary functions f: An → A, defined as functions that are locally rational polynomials in n variables.
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"Oculus," a mobile eight feet wide, like a Chinese lantern, is made of dozens of aluminum rectangles, paperback-sized, precisely suspended in a circle, the elaborate geometry and variety of the intricate, delicately balanced hooks and supporting devices providing the work's main visual excitement.
Given this geometry, a variety of force balances are present in the experiment, ranging from a magnetically dominated one near the inner sphere to a rotationally dominated one near the outer sphere (see, e.g., Nataf et al. 2006).
Utilising all combinations of geometries, a variety of the fabricated stub columns were experimentally tested and their behaviour were compared with conventional square or triangular welded hollow sections utilising mild steel plates as well as single tubes.
His research areas are arithmetic and algebraic geometry, including Shimura varieties and classification problems related to abelian varieties, p-divisible groups, and formal Lie groups.
Including (but not limited to ) Algebraic Geometry of Toric Varieties, Topology, Optimization.
For a new graduate student in mathematics, the easy part is mastering equivariant K-theory or the geometry of quiver varieties.
The symmetries of systems of polynomial equations can be be understood in terms of the geometry of the variety of zeroes (or solution set) of the polynomials.
Previous palaeontological applications of LiDAR have shown the REIGL LMS-Z420i is capable of sub-centimetre modelling of object geometry from a variety of ranges [49] [50].
In the transmission geometry, a wide variety of substrates can be used.
Because of significant advances in microfabrication technologies from the semiconductor industry, microfluidic channels and chambers can be generated in nearly any geometry in a variety of materials with opportunities for high-throughput and multiplex analyses.
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