Consider the braid group B3 = 〈a, b|aba = bab〉 and the nearest neighbor random walk defined by a probability ν with support {a,a, b, b}. The rate of escape of the walk is explicitly expressed in function of the unique solution of a set of eight polynomial equations of degree three over eight indeterminates. We also explicitly describe the harmonic measure of the induced random walk on B3 quotie...

fie PEP-11/B~B~~ Project Database is a tool for monitoring the technical and documentation aspects of the accelerator and detector construction. It holds the PEP-11/BAB~Rdesign specifications, fabrication and installation data in one integrated system. Key pieces of the database include the machine parameter list, components fabrication and calibration data, survey and alignment data, property ...

12. Let ax + by = 0, a, b ∈ R and a + b 6= 0 be a fixed line in R through the origin. We know u = ( −b √ a2+b2 , a √ a2+b2 ) is a point on line ax + by = 0 and v = ( a √ a2+b2 , b √ a2+b2 ) is a unit vector orthogonal to ( −b √ a2+b2 , a √ a2+b2 ). Thus the set B = {( −b √ a2+b2 , a √ a2+b2 ), ( a √ a2+b2 , b √ a2+b2 )} is an orthonormal basis for R. To find the reflection T (x, y) of (x, y) wi...

Let A be a factor von Neumann algebra and ? preserve n-tuple new product derivations on A, that is, for every A1,A2,... ,An ?(A1 A2 ?...? An) = ?(A1) An + A1 ?(A2) ?... ... ?(An) where Ai ?Aj A*iAj ?A*jAi i,j N, then is additive *-derivation, the condition ?(?I/2) self-adjoint operator {1,i}.

This study evaluated the effect of Hibiscus sabdariffa (HS) (Malvaceae) calyces on fermentation kenetics, phytochemical constituents, volatile organic compounds (VOCs) and sensory profile beer. Single infusion method mashing was utilized, resulting beers were compared to industrial beers. HS supplementation did not alter kenetics as a general decrease in extracts (oBrix) observed treated contro...

I’ll now sketch a proof. It basically follows by by recalling the definition of the probability of an even conditioned on X2 = a2. We first note that the set of choices for (X 1, X2, 3) given that X2 = a2 is def Sa2 = {(X1, a2, X3) : (X1, a2) ∈ C12 and (a2, X3) ∈ C23} . Conditioning on X2 = a2, we obtain a sample chosen uniformly from Sa2 . Thus, for (a 1, a2, a3) ∈ Sa2 , 1 P [(X1, X2, X3) = (a...

BACKGROUND Postpartum haemorrhage complicates approximately 10% of all deliveries and contributes to at least a quarter of all maternal deaths worldwide. The competency-based Helping Mothers Survive Bleeding after Birth (HMS BAB) training was developed to support evidence-based management of postpartum haemorrhage. This one-day training includes low-cost MamaNatalie® birthing simulators and add...