Buchbesprechungen

Ohne Zusammenfassung     

Sulle equazioni differenziali astratte lineari del primo e del secondo ordine negli spazi di Hilbert

Sunto Si studia il problema di Cauchy per equazioni differenziali lineari astratte in spazi di Hilbert, in una impostazione che permette di trattare contemporaneamente sia le equazioni differenziali astratte usuali, sia quelle con argomenti ritardati, sia le equazioni integro-differenziali. Lavoro eseguito nell'ambito delle attività dei gruppi di ricerca del Comitato per la Matematica del C.N.R.     

Linear series onk-gonal curves

Here we prove the following result. Theorem 1.1.Let X be an integral projective curve of arithmetic genus g and k≧ ≧4 an integer. Assume the existence of L ∈ Pic^k (X) with h ⁰ (X, L)=2 and L spanned. Fix a rank 1 torsion free sheaf M on X with h ⁰(X,M)=r+1≧2, h¹ (X, M)≧2 and M spanned by its global sections. Set d≔deg(M) and s≔max {n≧0:h ⁰ (X, M ⊗(L^*)^⊗n)>0}. Then one of the following cases occur:

Quantitative NIR-Raman analysis of methyl-parathion pesticide microdroplets on aluminum substrates

The potential of Raman spectroscopy in the quantitative analysis of dilute organic contaminants on aluminum substrates is evidenced in this work. Methyl-parathion microdroplets, an organophosphorus pesticide, has been used as a probe for this purpose. The samples were analyzed on an aluminum foil, which is very easy to acquire and to adapt. Moreover, aluminum foil does not need a previous treatment. Linear and no-linear curves as a function of the concentration of methyl-parathion versus the Raman intensity of the 1345 and 1110 cm(-1) peaks were established by means of a simple mathematical expression. A comparison with calibration curves fits very well, allowing quantification at concentration levels as low as parts per million.