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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]
The bell or contour shape is designed to impart a large angle expansion for the gases right after the throat. The nozzle is then curved back in to give a nearly straight flow of gas out the nozzle opening. The contour used is rather complex. The large expansion section near the throat causes expansion shock waves.
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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 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.
The graph of a Gaussian is a characteristic symmetric "bell curve" shape. The parameter a is the height of the curve's peak, b is the position of the center of the peak, and c (the standard deviation, sometimes called the Gaussian RMS width) controls the width of the "bell".