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A ruled surface is one which can be generated by the motion of a straight line in E 3. [46] Choosing a directrix on the surface, i.e. a smooth unit speed curve c(t) orthogonal to the straight lines, and then choosing u(t) to be unit vectors along the curve in the direction of the lines, the velocity vector v = c t and u satisfy
Laying setts in Edinburgh, Scotland, in 2013 Setts in pallet collars. A sett, also known as a block or Belgian block, [1] is a broadly rectangular quarried stone used in paving roads and walkways.
Smooth functions with given closed support are used in the construction of smooth partitions of unity (see partition of unity and topology glossary); these are essential in the study of smooth manifolds, for example to show that Riemannian metrics can be defined globally starting from their local existence.
The first synthetic surface used for thoroughbred racing was Tropical Park's Tartan turf, a synthetic surface similar to Astroturf installed in 1966. Tartan turf was never a success with horsemen. [6] The first synthetic surface to replace dirt in the United States was installed at The Meadows Racetrack and Casino in Washington, Pennsylvania in ...
Standard horse blankets are commonly kept on a horse when it is loose in a stall or pasture as well as when traveling. Different weights are made for different weather conditions, and some are water-resistant or waterproof. Modern materials similar to those used in human outdoor wear are commonly used in blanket manufacture.
The modified surface normal is then used for lighting calculations (using, for example, the Phong reflection model) giving the appearance of detail instead of a smooth surface. Bump mapping is much faster and consumes fewer resources for the same level of detail compared to displacement mapping because the geometry remains unchanged.
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