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The Gaussian function is the archetypal example of a bell shaped function. A bell-shaped function or simply 'bell curve' is a mathematical function having a characteristic "bell"-shaped curve. These functions are typically continuous or smooth, asymptotically approach zero for large negative/positive x, and have a single, unimodal maximum at ...
Unlike the trumpet, which has a cylindrical bore up to the bell section, the tubing of the cornet has a mostly conical bore, starting very narrow at the mouthpiece and gradually widening towards the bell. Cornets following the 1913 patent of E. A. Couturier can have a continuously conical bore. This shape is primarily responsible for the ...
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The instrument tapers in thickness, until at the top it is about 1.3 centimetres (0.51 in) wide. [13] The instruments were mainly treble cornetts, [26] tuned to the same range as the curved treble cornett, G 3 to A 5. [27] The others found in museums are soprano cornetts, also tuned like curved instruments to E 4 to E 6. [27] [26]
The third volume, published in 1915 as Clarke's Characteristic Studies for Cornet, contains a "Treatise on Tongueing" about single, double, and triple tongue technique, 24 characteristic studies inspired by violin methods and progressing alternatingly through the major and minor keys chromatically ascending, and 15 solos. It is considered a ...
The bell-shaped or contour nozzle is probably the most commonly used shaped rocket engine nozzle. It has a high angle expansion section (20 to 50 degrees) right behind the nozzle throat; this is followed by a gradual reversal of nozzle contour slope so that at the nozzle exit the divergence angle is small, usually less than a 10 degree half angle.
The Gateway Arch is a weighted catenary: thick at the bottom, thin at the top.. A weighted catenary (also flattened catenary, was defined by William Rankine as transformed catenary [1] and thus sometimes called Rankine curve [2]) is a catenary curve, but of a special form: if a catenary is the curve formed by a chain under its own weight, a weighted catenary is the curve formed if the chain's ...