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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 ...
A mute cornett (French: cornet muet, German: stiller Zink, Italian: cornetto muto) is a straight cornett with a narrower bore and integrated mouthpiece carved into the end of the instrument's body. [13] The instrument tapers in thickness, until at the top it is about 1.3 centimetres (0.51 in) wide. [13]
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 ...
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 bore of a baroque recorder has a "reversed" taper, being wider at the head and narrower at the foot of the instrument. [3] Most contemporary recorders also have such a conical bore as they are made very similar to baroque recorders. However, multiple renaissance, medieval and also modern recorders have a cylindrical bore.
A space curve; the vectors T, N, B; and the osculating plane spanned by T and N. In differential geometry, the Frenet–Serret formulas describe the kinematic properties of a particle moving along a differentiable curve in three-dimensional Euclidean space, or the geometric properties of the curve itself irrespective of any motion.
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 ...