# hodograph

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Related to hodograph: hodograph method

## hodograph

(ˈhɒdəˌɡrɑːf; -ɡræf)
n
(General Physics) a curve of which the radius vector represents the velocity of a moving particle
[C19: from Greek hodos way + -graph]
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014
References in periodicals archive ?
Due to the structure of the winds around the hurricane circulation, the hodograph was plotted as a nearly complete circle, making 1.25 revolutions around the eyewall before the balloon burst at an altitude of 9.6 km and a pressure of 307 mb.
My Trigonometry students used the concepts of vectors by applying wind velocity data and plotting them on a hodograph....
In (b) is the hodograph with the 0-3 km storm-relative helicity shaded in grey and an arrow indicating the average storm motion.
A polynomial curve r(i) = ([x.sub.1](t), [x.sub.2](t),..., [x.sub.n](t)) is said to be a Pythagorean-hodograph (PH) curve if its velocity vector or hodograph r'(t) = ([x'.sub.1](t),..., [x'.sub.n](t)) satisfies the Pythagorean condition
Take into account, in addition, that the hodograph of the frequency system's response [??](i[omega]) satisfies Re [??](i[omega]) = Re [??](-i[omega]) and Im [??](i[omega]) = -Im [??](-i[omega]) for all [omega] [member of] (-[infinity], [infinity]) and that [mathematical expression not reproducible] since [??] [member of] {PR}.
Music scholars and musicians mainly from the US reconsider his place in postwar music and discuss his compositional methods, including his graphic notation; his formative years; his use of the Schillinger system of composition; his Folio and Folio II, his abstract expressionist paintings, and his notational approach; his reception among his New York School colleagues and the compositional rationale for Indices, as well as controversies surrounding Hodograph I; his reception in Europe; the compositional methods in Calder Piece; his creative process in Cross Sections and Color Fields; the performance practice of his music; his teaching in composition and music history at California Institute of the Arts; and his legacy.
1, the hodographs of the MF represent strongly elongated ellipses, and at point 1 the coefficient of ellipticity (the ratio of the smaller semiaxis of the ellipse to the larger semiaxis) is generally zero, so that the hodograph of the vector of the MF is stretched into a vertical line.
After a space symmetry assumption, the transonic potential flows in fluid dynamics are described in the hodograph plane by two-dimensional BVPs for the Chaplygin equation:
Ponomarenko, "Minkowski sum and hodograph of the dense placement vector function," Reports of the SSR Academy of Science, SER.
Moreover, in [10] they obtained a vector-valued equation of first order for relativistic membrane by introducing the orthonormal (1 + 3)-gauge, and then they deduced a second-order equation for minimal graph z = z(t, [x.sub.1], [x.sub.2]) in the Minkowski space-time [R.sup.1+3] by the hodograph technique.
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