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We show that for n 3 there are 3 · 2n−1 complex common tangent lines to 2n−2 general spheres in Rn and that there is a choice of spheres with all common tangents real.
Common Transversals and Tangents to Two Lines and Two Quadrics in P^3
Geometry 3 d application infinitely many line projective quadratic projective space quadratic curve
2014/12/29
We solve the following geometric problem, which arises in several threedimensional applications in computational geometry: For which arrangements of two lines and two spheres in R3 are there infinitel...
Deriving chemosensitivity from cell lines: Forensic bioinformatics and reproducible research in high-throughput biology
Microarrays, reproducibility forensic bioinformatics
2010/10/19
High-throughput biological assays such as microarrays let us ask very detailed questions about how diseases operate, and promise to let us personalize therapy. Data processing, however, is often not d...
On Nodal Lines of Neumann Eigenfunctions
Nodal line reected Brownian motion mirror coupling eigenfunction Neumann problem
2009/4/29
We present a new method for locating the nodal line of the second eigenfunction for the Neumann problem in a planar domain.
Statistical models to study subtoxic concentrations for some standard mutagens in three colon cancer cell lines
Inverse regression problem subtoxic concentration confidence interval
2009/2/23
The aim of this work is to propose models to study the toxic effect of different concentrations of some standard mutagens in different colon cancer cell lines. We find estimates and, by means of an in...