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Hypograph of a function. In mathematics, the hypograph or subgraph of a function: is the set of points lying on or below its graph. A related definition is that of such a function's epigraph, which is the set of points on or above the function's graph.
Epigraph of a function A function (in black) is convex if and only if the region above its graph (in green) is a convex set.This region is the function's epigraph. In mathematics, the epigraph or supergraph [1] of a function: [,] valued in the extended real numbers [,] = {} is the set = {(,) : ()} consisting of all points in the Cartesian product lying on or above the function's graph. [2]
Nominal Pipe Size (NPS) is a North American set of standard sizes for pipes used for high or low pressures and temperatures. [1] " Nominal" refers to pipe in non-specific terms and identifies the diameter of the hole with a non-dimensional number (for example – 2-inch nominal steel pipe" consists of many varieties of steel pipe with the only criterion being a 2.375-inch (60.3 mm) outside ...
In shop drawings pipe sizes should be marked with the text and size should be shown with double line. Each pipes with different purposes will be displayed with different colors for ease of understanding. Drainage pipes should be shown with slope. For water supply, pump capacity and number of pumps will be attached as drawing file.
While pipe sizes in Australia are inch-based, they are classified by outside rather than inside diameter (e.g., a nominal 3 ⁄ 4 inch copper pipe in Australia has measured diameters of 0.750 inches outside and 0.638 inches inside, whereas a nominal 3 ⁄ 4 inch copper pipe in the U.S. and Canada has measured diameters of 0.875 inch outside and ...
During the IPS period, pipes were cast in halves and welded together, and pipe sizes referred to the inside diameters. [1] The inside diameters under IPS were roughly the same as the more modern Ductile Iron Pipe Standard (DIPS) and Nominal Pipe Size (NPS) Standards, and some of the wall thicknesses were also retained with a different ...
Designating the outside diameter allows pipes of the same size to be fit together no matter what the wall thickness. For pipe sizes less than NPS 14 inch (DN 350), both methods give a nominal value for the OD that is rounded off and is not the same as the actual OD. For example, NPS 2 inch and DN 50 are the same pipe, but the actual OD is 2.375 ...
Heat traps are valves or loops of pipe on the cold water inlet and hot water outlet of water heaters. The heat traps allow cold water to flow into the water heater tank, but prevent unwanted natural convection and heated water to flow out of the tank. [1] [2] Newer water heaters have built-in heat traps.
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