With “hat” denoting the Banach envelope (of a quasi-Banach space) we prove that ̂ B p (Rn) = B s−n ( 1 p −1 ) ,1 1 (R ), ̂ F s,q p (Rn) = B s−n ( 1 p −1 ) ,1 1 (R ), if 0 < p < 1, 0 < q < 1, s ∈ R, while ̂ B p (Rn) = B s−n ( 1 p −1 ) ,q 1 (R ), ̂ F s,q p (Rn) = B s−n ( 1 p −1 ) ,1 1 (R ), if 0 < p < 1, 1 ≤ q < +∞, s ∈ R, and ̂ B p (Rn) = B p (R), ̂ F s,q p (Rn) = F s,1 p (R), if 1 ≤ p < +∞, 0 < q < 1...

In this contribution connections between input fuzzy relations R1, . . . ,Rn on a set X and the output fuzzy relationRF = F(R1, . . . ,Rn) are studied. F is a function of the form F : [0, 1]n → [0, 1] and RF is called an aggregated fuzzyrelation. In the literature the problem of preservation, by a function F, diverse types of properties of fuzzy relationsR1, . . . ,Rn is examined. Here, it is c...

Denoting by (rn)n≥1 the increasing sequence of the numbers p with p prime and α ≥ 2 integer, we prove that rn+1 − 2rn + rn−1 is positive for infinitely many values of n and negative also for infinitely many values of n. We prove similar properties for r n−rn−1rn+1 and 1 rn−1 − 2 rn + 1 rn+1 as well.

Background: Several studies have identified the radial nerve in arm using different anatomic landmarks, however, acontroversy remains. Deltoid tuberosity (DT) and brachioradialis (BR) are reproducible landmarks that can be used toidentify the radial nerve (RN) during fracture surgery.Methods: Dissection of RN was carried out in 17 fresh frozen adult cadavers. Using a calibrate...

introduction: solar net radiation (rn) is one of the most important component which influences soil heat flux, evapotranspiration rate and hydrological cycle. this parameter (rn) is measured based on the difference between downward and upward shortwave (sw) and longwave (lw) irradiances reaching the earth’s surface. field measurements of rn are scarce, expensive and difficult due to the instrum...

Quantum chemical calculations, using gradient-correct density functional at the BP86 level in conjunction with TZ2P basis sets, have been carried out for the radon hydrides HRnY (with Y = F, Cl, Br, I, CCH, CN, and NC). The bonding in HRnY is studied using different bond ruptures, establishing the role of those stabilizing (and destabilizing) factors that prevent these species to be dissociated...

Physical tests and selection criteria have historically been used by many military organizations. However, the standards associated with them have come under increasing scrutiny in recent years. This paper describes a series of experiments that were conducted to establish task-related occupational tests and standards (TBTs) for Royal Naval (RN) personnel. A total of 172 (106 male and 66 female)...

for vectors x, y ∈ rn, it is said that x is left matrix majorizedby y if for some row stochastic matrix r; x = ry. the relationx ∼` y, is defined as follows: x ∼` y if and only if x is leftmatrix majorized by y and y is left matrix majorized by x. alinear operator t : rp → rn is said to be a linear preserver ofa given relation ≺ if x ≺ y on rp implies that t x ≺ ty onrn. the linear preservers o...