A set of N data elements (xI +•.• + X~)/N and variance of the th The r moment of the data elements elements is used to estimate E(xr ). th r x1' •.•• xN has r moment E(x)= th r 2r 2 r r moment Var(x ) = E(x )-E (x ). in an arbitrary subset of k Over all the choices of the sample, the mean error is zero and the mean squared error N-k r k(N-I) Var(x). A little-known theorem by Marlow shows that t...

Epilepsy is a frequent, chronic disease demanding long-term medication with antiepileptic drugs (AEDs). When slow release formulations of AEDs are used the chance of compliance and control of seizures is increased. Lamotrigine (LTG) is a broad spectrum antiepileptic drug (AED), effective against both generalized and partial seizures. Its immediate-release formulation (LTG-IR) requires twice-dai...

The co-ordinates reported have been submitted to the Protein Data Bank under accession number 1MI3. Xylose reductase (XR; AKR2B5) is an unusual member of aldo-keto reductase superfamily, because it is one of the few able to efficiently utilize both NADPH and NADH as co-substrates in converting xylose into xylitol. In order to better understand the basis for this dual specificity, we have determ...

Let X be a projective variety with a linearized action of an algebraic group G. If X is smooth, and the ground field is C, then the geometric invariant theory quotient X//G can be identified with a quotient constructed using symplectic geometry, the “reduced space” Xr. This result, due to Mumford, Guillemin and Sternberg, connects geometric invariant theory and symplectic geometry. Suppose now ...

Since the beginning of the Semantic Web, RDF and SPARQL have become the standard data model and query language to describe resources on the Web. Large amounts of RDF data are now available either as stand-alone datasets or as metadata over semistructured documents, typically XML. The ability to apply RDF annotations over XML data emphasizes the need to represent and query data and metadata simu...

Since the first industrial revolution, a specific mechanical paradigm of teaching and learning has dominated western education tradition, known as concept-based learning. This reverberated affected research, curriculum design, practices since early 1960s, well nourishing important ideas for current discussions on importance factual information in curricula (Medwell et al., 2019). One issues wit...

In this paper we study the Kummer extensions of a power series field K = k((X1, ...,Xr)), where k is an algebraically closed field of arbitrary characteristic. 1 Terminology and notation Let k be an algebraically closed field, X1, ...,Xr indeterminates formally independent over k, and let K and Lm be the fields K = k ((X1, ...,Xr)) , Lm = k (( X 1/m 1 , ...,X 1/m r )) , where m is a non negativ...