Let M be a closed simply connected manifold and 0 < δ ≤ 1. Klingenberg and Sakai conjectured that there exists a constant i0 = i0(M, δ) > 0 such that the injectivity radius of any Riemannian metric g on M with δ ≤ Kg ≤ 1 can be estimated from below by i0. We study this question by collapsing and Alexandrov space techniques. In particular we establish a bounded version of the KlingenbergSakai co...

They can be written in vector forms respectively as E1(s, I) = (s − PxCxI) Ax(s − PxCxI) + (s − PyCyI) Ay(s − PyCyI), (4) E2(I) = (I − I0) B(I − I0), (5) where s, I and I0 are vector representations of s, I and I0. Cx and Cy are discrete backward difference matrices that are used to compute image gradients in the xand ydirections. Px, Py , Ax, Ay and B are diagonal matrices, whose i-th diagonal...

We study the transmission rate (R) and bit-energy-to-interference ratio (Eb/I0) needed to maintain the desired QoS requirement for a given traffic while maximizing the user capacity in multimedia CDMA networks. Closed form functions among transmission rate, bit error rate (or equivalently Eb/I0), QoS requirements, and traffic characteristics are derived. Based on the dependence between R and Eb...

Drought is one of the most important factors that limits N fixation, growth and yield of soybean. 2 The aim of this study was to determine the effects of water stress, starter N application and seed inoculation on yield and yield components of soybean (cv. Williams). The experiment was conducted in 2010 at the Islamshahr town that located in 12 km of South-west of Tehran, the capital of Iran. T...

Castor (Ricinus communis L.) is an oilseed species that can be grown as a semi-perennial in Mediterranean environments, including the coastal areas of Sicily. The present study investigated optimization cultivation techniques for castor, with crop being maintained over two-year period, through evaluation different agronomical inputs order to increase seed yield. effects irrigation (I) and nitro...

(1) Bd(E) and B(E) are isometrically isomorphic for finite E ⊂ Γ. Bd(E) = `∞(E) characterizes I0 sets E and B(E) = `∞(E) characterizes Sidon sets E. [In general, Sidon sets are distinct from I0 sets. Within the group of integers Z, the set {2}n ⋃ {2+n}n is helsonian (hence Sidon) but not I0.] (2) Both are Fσ in 2 (as is also the class of finite unions of I0 sets). (3) There is an analogue for I...

A comprehensive study on both the eco-physiological and productive response of potatoes to dynamic deficit irrigation is lacking. Therefore, aim was study, over two growing seasons potato cultivars—Arinda Timate, effects five regimes (I0–dry control, I1—irrigated I2—supply 100% maximum evapotranspiration—ETm from tuber initiation up 50% growth 0% ETm end growth, I3—supply I4—supply 75% growth) ...

We investigate in this paper the global behavior of the following difference equation: xn+1 = (Pk(xn i0 ,xn i1 , . . . ,xn i2k ) + b)/(Qk(xn i0 ,xn i1 , . . . ,xn i2k ) + b), n = 0,1, . . ., under appropriate assumptions, where b [0, ), k 1, i0, i1, . . . , i2k 0,1, . . . with i0 < i1 < < i2k, the initial conditions xi 2k ,xi 2k+1, . . . ,x0 (0, ). We prove that unique equilibrium x = 1 of that...

In this paper, it is shown that the Peukert generalized equations C = Cm/(1 + (i/i0)n), 0.522Cmtanh((i/i0)n/0.522)/(i/i0)n and Cmerfc((i/ik − 1)/(1/n))/erfc(−n) are applicable for capacity estimation of automotive-grade lithium-ion batteries within discharge current range, from 0 to 10 Cn. Additionally, here all parameters (Cm, n, i0 ik) in under study have a clear physical meaning, unlike clas...