The first example of a closed orientable hyperbolic 3-manifold was constructed by F. Löbell in 1931 from eight copies of the right-angled 14-hedron. We consider the family of hyperbolic polyhedra which generalize the Lambert cube and the Löbell polyhedron. For polyhedra from this family we give trigonometric relations between essential dihedral angles and lengths and obtain volume formulae in v...

A case of Eaton-Lambert syndrome associated with pituitary apoplexy is presented. It is thought to be the first reported case. The clinical features, electrophysiological findings and effects and side effects of therapeutic drugs are noted. Endocrinological dysfunctions are discussed in relation to pituitary disorder.

In an n by n complete bipartite graph with independent exponentially distributed edge costs, we ask for the minimum total cost of a set of edges of which each vertex is incident to at least one. This so-called minimum edge cover problem is a relaxation of perfect matching. We show that the large n limit cost of the minimum edge cover is W (1)2 + 2W (1) ≈ 1.456, where W is the Lambert W -functio...

A formula for the generating function of prime repunits is given in terms of a Lambert series using S. Golomb’s formula.

Ramanujan's Q-function, Lambert W-function, and the so called \tree function" T(z) deened implicitly by the equation T(z) = ze T(z) found applications in hashing, the birthday paradox problem, random mappings, caching, memory connicts, and so forth. Recently, several novel applications of these functions to information theory problems such as linear coding and universal portfolios were brought ...

In choice bioassays, Rhopalosiphum padi L. nonviruliferous apterae preferentially locate near volatile organic compounds (VOCs) emitted from Barley yellow dwarf virus (BYDV)-infected wheat plants compared with VOCs from noninfected plants. However, the specific VOCs responsible for R. padi responses are unknown. It is unclear also if R. padi responses to BYDV-infected wheat are caused by arrest...

Sir: Muscle weakness in the myasthenic syndrome of Eaton-Lambert' is caused by diminished transmitter release from motor nerve endings2 secondary to morphological destruction of the active release zones in the nerve terminals3 which is thought to have an autoimmune aetiology."5 Immunosuppressive therapy has recently been recommended5 but its full effect is delayed by several months and severe s...

Book Review: Ellis, R., Skehan, P., Li, A., Shintani, N., & Lambert, C. (2020). Task-based language teaching: Theory and practice. Cambridge University Press.

David Lambert and Peter Merriman, eds. Empire Mobility in the Long Nineteenth Century. Studies Imperialism. Manchester: Manchester University Press, 2020. Pp. 248. $120.00 (cloth). - Volume 60 Issue 2

Abstract This article explains Kant’s claim that sciences must take, at least as their ideal, the form of a ‘system’. I argue notion systematicity can be understood against background de Jong and Betti’s Classical Model Science (2010) writings Georg Friedrich Meier Johann Heinrich Lambert. According to my interpretation, Meier, Lambert Kant accepted an axiomatic idea science, articulated by Mod...