Rare earth elements (REEs) enriched fertilizers have been commonly used in China since the 1980s, thus inducing a growing concern about their environmental impact in agriculture. In this work, the effect of some light REEs nitrate mixture and La(3+) nitrate on seed germination, seedling growth and antioxidant metabolism in Triticum durum was investigated with the aim of clarifying the potential...

Given a word w over a finite alphabet, we consider, in three special cases, the generalised star-height of the languages in which w occurs as a contiguous subword (factor) an exact number of times and of the languages in which w occurs as a contiguous subword modulo a fixed number, and prove that in each case it is at most one. We use these combinatorial results to show that any language recogn...

In the next two lectures, we look at lower bounds conjectured on two important and well-known problems. One is the All-Pairs-Shortest-Path(APSP) problem which is believed to be truly cubic(i.e. there is no exact algorithm for this problem which runs in time O(n ) for a constant > 0). The second problem considered is the 3−SUM problem which is conjectured to be truly quadratic(i.e. there is no e...

Recall that for C-algebras A and B there are many possible norms on A ⊗ B for which the completion is a C-algebra. In particular there are two standard completions A ⊗min B and A⊗max B corresponding to the ‘smallest’ and ‘largest’ possible tensor norms. We say that A is nuclear if these two tensor products correspond for all C-algebras B. We say that a C-algebra A is exact if given any short ex...

Protein structure prediction is considered to be the holy grail of bioinformatics. Ab initio and homology modelling are two important groups of methods used in protein structure prediction. Amongst these, ab initio methods assume that no previous knowledge about protein structures is required. On the other hand homology modelling is based on sequence similarity and uses information such as clas...

Let $1\to N\to G\to G/N\to 1$ be a short exact sequence of countable discrete groups and let $B$ any $G$-$C^\*$-algebra. In this paper, we show that the strong Novikov conjecture with coefficients in holds for such group $G$ when normal subgroup $N$ quotient $G/N$ are coarsely embeddable into Hilbert spaces. As result, satisfies under same hypothesis on $G/N$.

in this article, we study the artin-rees property in  c(x), in the  rings of fractions of  c(x) and in the factor rings of c(x) . we show that c(x)/(f) is an artin-rees ring if and only if  z(f)  is an open p-space. a necessary and sufficient condition for the local rings of  c(x)   to be artin-rees rings is that each prime ideal in  c(x)  becomes minimal and it turns out that every local ring ...