We document the discovery of two generating functions for ζ(2n + 2), analogous to earlier work for ζ(2n + 1) and ζ(4n + 3), initiated by Koecher and pursued further by Borwein, Bradley and others.

At Rolls-Royce, a study determined that manufacturing part cost can be estimated from dimensional data in the part definition. The method appears to be more accurate than mass-based parametric models or process simulation cost models. Additional advantages are: part definition information is causally related to part manufacturing cost; part definition information is easily available during the ...

‘Scientific community’ is common currency in the study of science, largely due to Kuhn’s use of the term in his highly influential book The Structure of Scientific Revolutions. As this article explains, however, ‘scientific community’ was not of Kuhn’s coining. It was hinted at by Peirce, and expressly designated by Royce. On a few occasions Fleck affirmed a scientific community, while Polanyi ...

“[µ3-2، 5-dioxyocyclohexylidene) -bis ((2-hydrido) -nonacarbonyl-triruthenium]” الدراسات الطوبولوجية لـمركب باستخدام نظرية QTAIM (نظرية الكم للذرات في الجزيئات) تم تشخيص المركب ضمن مستوى DFT حيث تتفق المتغيرات المقدرة مع السابقة للمعقدات المعدنية الانتقالية المماثلة أظهرت الدراسة لمكون الجسر الأساسي Ru3H2 وجود النقاط الحرجة للرابطة بين الذرات Ru(1), Ru(2),Ru(3) ونتيجة لتلك حساب مؤشر عدم التمركز...

Recent measurements of the properties of W + W − events produced in e + e − collisions at √ s ∼ 183 GeV at LEP are reviewed. The data are used to investigate the predicted effects of final state interactions, specifically " colour reconnection ". 1 Motivation Hadronic data in e + e − collisions can be characterised by event shape distributions and inclusive observables such as charged particle ...

In this note we announce some results extending results of S. P. Novikov ([6] and [7]), the author [2], and C. T. C. Wall [8]. In the above papers it is shown how to characterize the homotopy type of 1-connected smooth closed manifolds of dimension w ^ S , « ^ 2 mod 4, and how to reduce the diffeomorphy classification of such manifolds to homotopy theory, with similar results for bounded manifo...