Multivariate data sets exist in a wide variety of fields and parallel coordinates visualizations are commonly used for analysing such data. This paper presents a usability evaluation where we compare three types of parallel coordinates visualization for exploratory analysis of multivariate data. We use a standard parallel coordinates display with manual permutation of axes, a standard parallel ...

of subsets of TM: Note that i) 8 (p;Xp) 2 TM , as p 2M ) there exists (U ; ) 2 S such that p 2 U ; i.e. (p;Xp) 2 TU , and we have TU =  1 (R) 2 : ii) If we de…ne F : TpM ! R by F (Xp) = (Xp(x); Xp(x); :::::; Xp(x)) where x; x; ::::; x are local coordinates on (U ; ), then clearly F is an isomorphism, so  (p; Xp) = ( (p); F ( Xp)); and  1 = ( 1 ; F 1 ): Now take  1 (U);  1 (V ) 2 and suppos...

A point P ∈ R is represented in Parallel Coordinates by a polygonal line P̄ (see [Ins99] for a recent survey). Earlier [Ins85], a surface σ was represented as the envelope of the polygonal lines representing it’s points. This is ambiguous in the sense that different surfaces can provide the same envelopes. Here the ambiguity is eliminated by considering the surface σ as the envelope of it’s tang...

and Applied Analysis 3 Applying the explicit Numerov-type method 2.1 to 2.3 , we obtain the following relation yn 1 − S ( H2 ) yn P ( H2 ) yn−1 0, H λh 2.4

This paper presents a new form of quartic equation based on Lagrange’s extremum law and a Groebner basis under the constraint that the geodetic height is the shortest distance between a given point and the reference ellipsoid. A very explicit and concise formulae of the quartic equation by Ferrari’s line is found, which avoids the need of a good starting guess for iterative methods. A new expli...

a fundamental topic in computational fluid dynamics is the role of coordinate particularly for searching optimized coordinates. the objective of this study is the numerical modeling of supersonic flows using a new coordinate system i.e. unified coordinate system (ucs) uses moving mesh with motionless viewing window technique. ucs has an advantage over traditional coordinate systems (eulerian an...