This short note presents the Lambert W(x) function and its possible application in the framework of physics related to the Pierre Auger Observatory. The actual numerical implementation in C++ consists of Halley’s and Fritsch’s iteration with branch-point expansion, asymptotic series and rational fits as initial approximations. ar X iv :1 00 3. 16 28 v1 [ cs .M S] 8 M ar 2 01 0

We rewrite the Bagger-Lambert action for any Lie 3-algebra as a standard ChernSimons action coupled to matter. We use this action to compute self-energies and vertex corrections at one-loop order. Non-renormalization of the coupling constant comes out as a direct consequence of the Lie 3-algebra structure underlying the Lie algebra. [email protected]

The Lambert W(x) function and its possible applications in physics are presented. The actual numerical implementation in C++ consists of Halley’s and Fritsch’s iterations with initial approximations based on branch-point expansion, asymptotic series, rational fits, and continued-logarithm recursion.

W e address a n open and hitherto neglected problem i n computer vision, how to reconstruct the geometry of objects with arbitrary and possibly anisotropic bidirectional reflectance distribution functions (BRDFs) . Present reconstruction techniques, whether stereo vision, structure f rom motion, laser range finding, etc. make explicit or implicit assumptions about the B R D F . Here, we introdu...

Gillies CL, Abrams KR, Lambert PC, et al. Pharmacological and lifestyle interventions to prevent or delay type 2 diabetes in people with impaired glucose tolerance: systematic review and meta-analysis. BMJ 2007;334:299. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ....

There is much evidence to suggest that psychotherapy is effective, however, it is far from flawless (e.g., Lilienfield, 2007; Stuart, 1970). As the field of mental health changes, there has been a recent movement in routine practice toward the use of standardized measures to track client progress and to collect feedback about treatment response (Lambert & Shimokawa, 2011). The use of standardiz...