# Chromogeometry

## Related Articles

- Killing-Yano tensors, surface terms and superintegrable systems. Baleanu, Dumitru; Defterli, Özlem // AIP Conference Proceedings;2004, Vol. 729 Issue 1, p99
Killing-Yano and Killing tensors are investigated corresponding to a set of two dimensional superintegrable systems. A suitable surface term is added to the corresponding free Lagrangian describing the motion of a particle on a 2-sphere of unit radius and we analyze the symmetries of the...

- Classes polaires associÃ©es aux distributions holomorphes de sous-espaces tangents. Mol, Rogério // Bulletin of the Brazilian Mathematical Society;Mar2006, Vol. 37 Issue 1, p29
We define polar classes associated to a singular holomorphic distribution of tangent subspaces of a projective manifold. We prove that these polar classes can be calculated in terms of the Chern-Mather classes of the tangent sheaf of the distribution and reciprocally. We use their degrees to...

- Combinatorics of Rational Functions and Poincarï¿½- Birchoff-Witt Expansions of the Canonical U-Valued Differential Form. Rim�yi, R.; Stevens, L.; Varchenko, A. // Annals of Combinatorics;2005, Vol. 9 Issue 1, p57
We study the canonical U-valued differential form, whose projections to different Kac-Moody algebras are key ingredients of the hypergeometric integral solutions of KZ-type differential equations and Bethe ansatz constructions. We explicitly determine the coefficients of the projections in the...

- AN ARCTANGENT TRIANGLE: PUZZLING OVER Arctan1 + Arctan2 + Arctan3 = Ï€. Ecker, Michael W. // Mathematics & Computer Education;Spring2006, Vol. 40 Issue 2, p124
The article presents geometric and trigonometric proofs, as well as a unifying puzzle, to title identity problem. The notation Tan is used to indicate the domain (-Ï€/2, Ï€/2), and not the standard function tan with domain {x: x â‰ (2j-1)Ï€/2, âˆ‹ Z}. Also, angles are...

- Iteration of complex functions and Newton's method. Dwyer, Jerry; Barnard, Roger; Cook, David; Corte, Jennifer // Australian Senior Mathematics Journal;2009, Vol. 23 Issue 1, p9
This paper discusses some common iterations of complex functions. The presentation is such that similar processes can easily be implemented and understood by undergraduate students. The aim is to illustrate some of the beauty of complex dynamics in an informal setting, while providing a couple...

- BI-HAMILTONIAN REPRESENTATION, SYMMETRIES AND INTEGRALS OF MIXED HEAVENLY AND HUSAIN SYSTEMS. SHEFTEL, M. B.; YAZICI, D. // Journal of Nonlinear Mathematical Physics (World Scientific Publ;Dec2010, Vol. 17 Issue 4, p453
In the recent paper by one of the authors (MBS) and A. A. Malykh on the classification of second-order PDEs with four independent variables that possess partner symmetries [1], mixed heavenly equation and Husain equation appear as closely related canonical equations admitting partner symmetries....

- Degenerations and Representations of Twisted Shibukawa-UenoR-Operators. Endelman, Robin; Hodges, Timothy // Letters in Mathematical Physics;Jun2004, Vol. 68 Issue 3, p151
We study degenerations of the BelavinR-matrices via the infinite dimensional operators defined by Shibukawa-Ueno. We define a two-parameter family of generalizations of the Shibukawa-UenoR-operators. These operators have finite dimensional representations which include Belavin'sR-matrices in the...

- Estimates for the Variation of Functions Defined by Double Trigonometric Cosine Series. Gembarskaya, S. B. // Ukrainian Mathematical Journal;Jun2003, Vol. 55 Issue 6, p885
For functions of two variables defined by trigonometric cosine series with quasiconvex coefficients, we obtain estimates for their variations in the Hardyï¿½Vitali sense.

- Why Do We Bother With Radians In Year 12 Mathematics? Lloyd, Philip // New Zealand Mathematics Magazine;Mar2005, Vol. 42 Issue 1, p23
The article discusses the reasons for using radians in preference to using degrees when differentiating or integrating trigonometric functions. The aesthetic quality of radians is criticized. The different uses of radians and degrees of measuring angles is cited. Several equations are presented...