Let P be the natural forcing for producing a finite splitting tree using finite conditions. Namely, p ∈ P iff p ⊆ ω is a finite subtree and p ≤ q iff p ⊇ q is an end extension of q. End extension means if s ∈ p\q then s ⊇ t for some t ∈ q which is terminal in q, i.e., has no extensions in q. This order is countable and hence forcing equivalent to adding a single Cohen real. The union of P-gener...

The paper presents a cheap technique for the approximation of the harmonic extension from the boundary into the interior of a domain with respect to a given diierential operator. The new extension operator is based on the hierarchical splitting of the given f.e. space together with smoothing sweeps and an exact discrete harmonic extension on the lowest level and will be used as a component in a...

The effect of three salicylic acid (0, 50 and 100 mg l-1) and K2SO4 (0, 0.1 and 0.2 %) levels on some characteristics nut and physiological parameters of pistachio trees cv. ‘Owhadi’ were investigated. Treatments were applied at endospermic growth stage of seed and cotyledons appearance. The results showed that potassium increase yield, splitting percentage; nut fresh mass and kernel dry mass a...

the main purpose of this research was to investigate farmer’s attitude towards privatization of agricultural extension in shirgah district , mazandaran province. the statistical population consisted of 15300 farmers who inhabited as residents in 54 villages. using stratified proportional random sampling, 150 farmers (through cochran formula) were selected. the study revealed that 84% of farmers...

Titania nanotubes (TNT) prepared by anodization of Ti foils were used for water splitting in a standalone cell. The concentration polarization between the anode side (1M NaOH) and cathode side (0.5 M H2SO4) ensured that the water splitting reaction could take place with no external bias and separate H2 and O2 evolution could be achieved. The destructi...

agriculture and its development is the foundation of development in iran as a developing country. so, it can be regarded as the foundation for economical and social development.the capabilities of agriculture sector are limited and its efficiency is trivial because of neglecting agricultural development and keeping its support just as a slogan. the transformation of agriculture to a developed, ...

At present we do not know a general algorithm that will compute the Galois group of a linear differential equation with coefficients in a differential field k, even when k = Q̄(x), where Q̄ is the algebraic closure of the rational numbers. In contrast, algorithms for calculating the Galois group of a polynomial with coefficients in Q or Q̄(x) have been known for a long time (van der Waerden, 1953;...

background: lateral ridge split technique is a way to solve the problem of the width in narrow ridges with adequate height. simultaneous insertion of dental implants will considerably reduce the edentulism time. materials and methods: twenty-five patients who were managed with ridge splitting technique were enrolled. thirty-eight locations in both jaws with near equal distribution in quadrants ...

Given a Galois extension L/K of number fields with Galois group G, a fundamental problem is to describe the (unramified) primes p of K whose Frobenius automorphisms lie in a given conjugacy class C of G. In particular, all such primes have the same splitting type in a sub-extension of L/K. In general, all that is known is that the primes have density |C|/|G| in the set of all primes, this being...