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A normal distribution bell curve is an example of a symmetric function. In formal terms, a mathematical object is symmetric with respect to a given operation such as reflection, rotation, or translation, if, when applied to the object, this operation preserves some property of the object. [1]
In the case of a plane simple closed curve (that is, a curve in the plane whose starting point is also the end point and which has no other self-intersections), the curve is said to be positively oriented or counterclockwise oriented, if one always has the curve interior to the left (and consequently, the curve exterior to the right), when ...
Fig. 7 – The left-handed orientation is shown on the left, and the right-handed on the right. Fig. 8 – The right-handed Cartesian coordinate system indicating the coordinate planes. Once the x- and y-axes are specified, they determine the line along which the z-axis should lie, but there are two possible orientations for this line.
The curve of the chains of a suspension bridge is always an intermediate curve between a parabola and a catenary, but in practice the curve is generally nearer to a parabola due to the weight of the load (i.e. the road) being much larger than the cables themselves, and in calculations the second-degree polynomial formula of a parabola is used.
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This is a gallery of curves used in mathematics, by Wikipedia page. See also list of curves. Algebraic curves. Rational curves. Degree 1. Line. Degree 2 Circle ...