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bessel
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The answer BESSEL has 1 possible clue(s) in existing crosswords.
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Definitions of bessel in various dictionaries:
noun - German mathematician and astronomer who made accurate measurements of stellar distances and who predicted the existence on an 8th planet (1784-1846)
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German astronomer who was the first to measure the distance to a star |
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Jun 9 2007 New York Times |
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German mathematician and astronomer who made accurate measurements of stellar distances and who predicted the existence on an 8th planet (1784-1846) |
(17841846), German astronomer and mathematician. He determined the positions of some 75,000 stars, obtained accurate measurements of stellar distances, and following a study of the orbit of Uranus, predicted the existence of an eighth planet. |
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Bessel functions, first defined by the mathematician Daniel Bernoulli and then generalized by Friedrich Bessel, are the canonical solutions y(x) of Bessel's differential equation * * * * * x * * 2 * * * * * * * d * * 2 * * * y * * * d * * x * * 2 * * * * * * + * x * * * * d * y * * * d * x * * * * + * * ( * * * x * * 2 * * * − * * α * * 2 * * * * ) * * y * = * 0 * * * {\displaystyle x^{2}{\frac {d^{2}y}{dx^{2}}}+x{\frac {dy}{dx}}+\left(x^{2}-\alpha ^{2}\right)y=0} * for an arbitrary complex number α, the order of the Bessel function. Although α and −α produce the same differential equation for real α, it is conventional to define different Bessel functions for these two values in such a way that the Bessel functions are mostly smooth functions of α. * The most important cases are when α is an integer or half-integer. * Bessel functions for integer α are also known as cylinder functions or the cylindrical harmonics because they appear in the solution to Laplace's equation in cylindrical coordinates. Spherical Bessel functions with half-integer α are obtained when the Helmholtz equation is solved in spherical coordinates. |