The circular

hodograph represents a 0-3-km storm-relative helicity value of -1,847 [m.sup.2] [s.sup.-2], and the total profile contains 8.3 cm of precipitable water.

Lavicka, "Pythagorean

hodograph curves: a survey of recent advances," Journal for Geometry and Graphics, vol.

since Im [??](i[omega]) = - Im [??](i[omega]) for any

hodograph [??](i[omega]); [for all][omega] [member of] [R.sub.0+].

Therefore, using such a system, it is possible to compensate for the semimajor axis of the ellipse of the

hodograph of the induction vector of the magnetic field and to obtain a sufficiently high screening efficiency for a weakly polarized MF.

Yuan, "A mixed boundary value problem for Chaplygin's

hodograph equation," Journal of Mathematical Analysis and Applications, vol.

Further, according to the hypothesis that small streamline deflections produce proportionally small change in Mach number and pressure, a

hodograph solution for compressible flow past a corner was given by Verhoffetal.

Among their topics are cooperative path planning and mission planning, designing Dubins paths using analytical geometry, Pythagorean

hodograph paths in three dimensions, avoiding mapped and unmapped obstacles, and multiple path planning for simultaneous arrival.

(Naeem, 2003) indicated that

Hodograph transformation method can also be used to obtain the exact solutions and obtained some exact solutions.

His thesis on the "Velocity-Correction Factors and the

Hodograph Method in Gas Dynamics" later was published by the University of Tehran.

To the degree that the pre-storm environment is known and that convection is going to occur, a forecaster can simply look at the

hodograph and determine to a good approximation whether there is sufficient shear over a sufficient depth to promote supercell development (e.g.

From the analysis of the fixed meanings also follows that the compensation process convergence is determined by the position of the

hodograph of the transfer function R(j[omega]) = [W.sub.k]'(j[omega])--[W.sub.k](j[omega])F(j[omega]) inside a circumference of a single radius.

The shear strain ([DELTA][gamma]) after one pass through the shear plane (OO') can be determined from the velocity

hodograph [9] to derive the following relation: