We discuss some properties of the intrinsically nonlinear Clebsch decomposition of a vector field into three scalars in d = 3. In particular, we note and account for the incom-pleteness of this parameterization when attempting to use it in variational principles involving Maxwell and Chern-Simons actions. Similarities with string decomposition of metrics and their actions are also pointed out. ...

Trypanosoma cruzi, the ethiologic agent of Chagas disease (Chagas 1909), is transmitted through triatomine vectors during the meal on the invertebrate host. The parasite displays quite distinct morphological and functional forms, alternating between replicative stages (epimastigotes in the vector midgut and amastigotes in vertebrate cells) and infective, non-dividing forms (metacyclic trypomast...

with fixed initial data x(t = x where x is the n-dimensional o) o' state vector, u is the r-dimensional vector control function, A(t) , B(t) are the nxn, nxr matrix functions, respectively. A(t), B(t), are assumed to be piecewise continuous for t ~ to on any finite in­ terval. A control function u(t) is said to be admissible if it is measur­ able over any finite interval and takes its values fr...

The present paper is concerned with some representatons of linear mappings of continuous functions into locally convex vector spaces, namely Theorem. If X is a complete Hausdorff locally convex vector space, then a general form of weakly compact mapping T : C[a, b] → X is of the form Tg = ∫ b a g(t)dx(t), where the function x(·) : [a, b] → X has a weakly compact semivariation on [a, b]. This th...

TA cloning is one of the simplest and most efficient methods for the cloning of PCR products. The procedure exploits the terminal transferase activity of certain thermophilic DNA polymerases, including Thermus aquaticus (Taq) polymerase. Taq polymerase has non-template dependent activity which preferentially adds a single adenosine to the 3'-ends of a double stranded DNA molecule, and thus most...

In order to develop CD8+-T-cell-mediated immunotherapy against intracellular infectious agents, vaccination using recombinant virus vectors has become a promising strategy. In this study, we generated recombinant adenoviral and vaccinia virus vectors expressing a single CD8+-T-cell epitope, ANYNFTLV, which is derived from a Trypanosoma cruzi antigen. Immunogenicity of these two recombinant viru...

1. I n t r o d u c t i o n 1. Let M be a real-analytic manifold, Vect M the Lie algebra of analytic vector fields on M. We consider a vector field f E Vect M as a differential operator of first order on the algebra of smooth functions C ~ (M) which satisfies the differentiation rule f(W1W2) -" (fw1)W2 + wI(fW2) VWI, W2 E Coo(M). A point z E M will be identified with the corresponding homomorphi...

Let V be a vector space of dimension N over the finite field Fq and T linear operator on V. Given an integer m that divides N, m-dimensional subspace W is T-splitting if V=W⊕TW⊕⋯⊕Td−1W where d=N/m. σ(m,d;T) denote number subspaces. Determining for arbitrary open problem. We prove depends only similarity class type give explicit formula in special case cyclic nilpotent. Denote by σq(m,d;τ) split...

In this paper we consider pseudo projectively flat Riemannian manifold whose Ricci tensor S satisfies the condition S(X,Y ) = rT (X)T (Y ), where r is the scalar curvature, T is a non-zero 1-form defined by g(X, ξ) = T (X), ξ is a unit vector field and prove that the manifold is of pseudo quasi constant curvature, integral curves of the vector field ξ are geodesic and ξ is a proper concircular ...