Complete Sequence and Characterization of Mitochondrial and Chloroplast Genome of <i>Navicula incerta</i> CACC 0356 by Zhaokai Wang, Xiaoyu Wei

“…Notably, the cpDNA of <i>N. incerta</i> is approximately 2.1 times the size of its mtDNA. …”
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Different Rates of Chicken Manure and NPK 15-15-15 Enhanced Performance of Sunflower (Helianthus annuus L.) on Ferruginous Soil by V. I. Abumere, O. A. Dada, A. G. Adebayo, F. R. Kutu, A. O. Togun

“…Performance of sunflower was superior on the field fertilized with 10 t·ha−1 chicken manure which was comparable to 90 kg·N·ha−1 NPK fertilizer. Sunflower seed yield and oil quality were superior in plots supplied with 10 t·ha−1 chicken manure which was comparable to 60 kg·N·ha−1 NPK. …”
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Stability problem of some nonlinear difference equations by Alaa E. Hamza, M. A. El-Sayed

“…In this paper, we investigate the asymptotic stability of the recursive sequence xn+1=α+βxn21+γxn−1,    n=0,1,… and the existence of certain monotonic solutions of the equation xn+1=xnpf(xn,xn−1,…,xn−k),     n=0,1,… which includes as a special case the rational recursive sequence xn+1=βxnp1+∑i=1kγixn−1p−r, where α≥0,β>0,γ>0,γi≥0, i=1,2,…,k,∑i=1kγi>0, p∈{2,3,…} and r∈{1,2,…,p−1}. …”
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Multiplicity of Positive Solutions for a p-q-Laplacian Type Equation with Critical Nonlinearities by Tsing-San Hsu, Huei-Li Lin

“…Under suitable assumptions for f(x) and g(x), we should prove that for sufficiently small λ>0, there exist at least k positive solutions of the following p-q-Laplacian equation, -Δpu-Δqu=fxu|p*-2u+λgxu|r-2u  in  Ω, u=0   on   ∂Ω, where Ω⊂RN is a bounded smooth domain, N>p, 1<q<N(p-1)/(N-1)<p≤max⁡{p,p^*-q/(p-1)}<r<p^*, p^*=Np/(N-p) is the critical Sobolev exponent, and Δsu=div(|∇u|s-2∇u is the s-Laplacian of u.…”
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Structure of weakly periodic rings with potent extended commutators by Adil Yaqub

“…A well-known theorem of Jacobson (1964, page 217) asserts that a ring R with the property that, for each x in R, there exists an integer n(x)>1 such that xn(x)=x is necessarily commutative. …”
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k-component disconjugacy for systems of ordinary differential equations by Johnny Henderson

“…Disconjugacy of the kth component of the mth order system of nth order differenttal equations Y(n)=f(x,Y,Y′,…,Y(n−1)), (1.1), is defined, where f(x,Y1,…,Yn), ∂f∂yij(x,Y1,…,Yn):(a,b)×Rmn→Rm are continuous. …”
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A lower bound on the number of finite simple groups by Michael E. Mays

“…Investigation of known families of simple groups provides the lower bound S(n)≫n1/4/logn.…”
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About the geometrical stability of the marginal terms in variation series by Algimantas Aksomaitis

“… It was proved that the logistic minimum is geometrically min-stable, positional statistics  X(kN) ,  k > 1 are not geometrically stable, common minimum and maximum distributions are not asimptotically indepen­dent as the sample size is geometrical. …”
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Nearly Jordan ∗-Homomorphisms between Unital 𝐶∗-Algebras by A. Ebadian, S. Kaboli Gharetapeh, M. Eshaghi Gordji

“…We prove that every almost unital almost linear mapping ℎ : 𝐴→𝐵 which satisfies ℎ(3𝑛𝑢𝑦+3𝑛𝑦𝑢)=ℎ(3𝑛𝑢)ℎ(𝑦)+ℎ(𝑦)ℎ(3𝑛𝑢) for all 𝑢∈𝑈(𝐴), all 𝑦∈𝐴, and all 𝑛=0,1,2,…, is a Jordan homomorphism. Also, for a unital 𝐶∗-algebra 𝐴 of real rank zero, every almost unital almost linear continuous mapping ℎ∶𝐴→𝐵 is a Jordan homomorphism when ℎ(3𝑛𝑢𝑦+3𝑛𝑦𝑢)=ℎ(3𝑛𝑢)ℎ(𝑦)+ℎ(𝑦)ℎ(3𝑛𝑢) holds for all 𝑢∈𝐼1 (𝐴sa), all 𝑦∈𝐴, and all 𝑛=0,1,2,…. …”
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Integrated physiological and transcriptomic analysis uncovers the mechanism of moderate nitrogen application on promoting the growth and (-)-borneol accumulation of Blumea balsamif... by Yuan Yuan, Wei-Jie Tang, Wei-Jie Tang, Jia-Yuan Cao, Ke Zhong, Ke Zhong, Ze-Jun Mo, Ying Zhou, Yu-Xin Pang, Yu-Xin Pang

“…This study aimed to elucidate the effects of N on growth and (-)-borneol synthesis at the molecular level.MethodsA field experiment was conducted in which B. balsamifera plants were fertilized with three different nitrogen regimes: 0 kg N ha-1 (control, CK), 150 kg N ha-1 (N1 treatment), and 300 kg N ha-1 (N2 treatment). …”
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Variation of constants formulae for difference equations with advanced arguments by Lolimar Díaz, Raúl Naulin

“…The construction of a variation of constants formula for the difference equation with advanced arguments y(n+1)=A(n)y(n)+B(n)y(g(n))+f(n), g(n)≥n+1, is given for specific sequential spaces.…”
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Global and Local Structures of Bifurcation Curves of ODE with Nonlinear Diffusion by Tetsutaro Shibata

“…We consider the nonlinear eigenvalue problem Duu′′+λfu=0, u(t)>0, t∈I≔(0,1), u(0)=u(1)=0, where D(u)=uk, f(u)=u2n-k-1+sin⁡u, and λ>0 is a bifurcation parameter. …”
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An approximation of the Hurwitz zeta function by a finite sum by Ramūnas Garunkštis

“…Let σ ≥ 0 and |t| ≤ π x. Then ζ(s, α) = ∑0 ≤ n ≤ x 1/(n + α)s +{ (x + α)1−s}/(s − 1) + Θ ({7√2π−1 + 3}/xσ). …”
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Fatty Acid Content and Profile in <i>Ulva lactuca</i> in Response to Exposure to Variable Growth Conditions in Indoor Photobioreactors by Nabeel Gnayem, Razan Unis, Rima Gnaim, Alexander Chemodanov, Álvaro Israel, Jallal Gnaim, Alexander Golberg

“…Seaweed presents a sustainable alternative source of valuable fatty acids (FAs) involving omega-3 (<i>n</i>-3) and omega-6 (<i>n-6</i>). As such, there is great potential to reduce pressure on wild fish populations, helping to combat overfishing and its associated global impacts. …”
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Effects of Nitrogen Fertilizer Quantity and Time of Application on Sorghum (Sorghum bicolor (L.) Moench) Production in Lowland Areas of North Shewa, Ethiopia by Degu Temeche, Elias Getachew, Gtachew Hailu

“…By considering the economic status of the farmers, the applications of 46 kg·N·ha−1 in two split doses (1/2 dose at sowing and 1/2 dose at tillering stage) gave 87,122 Birr·ha−1 with a MRR of 475.61%, which gave best economic benefit. …”
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Effects of Nitrogen Fertilization and Nitrogen Fixing Endophytic Bacteria Supplementation on Soil Fertility, N Uptake, Growth, and Yield of Sesame (Sesamum indicum L.) Cultivated o... by Le Vinh Thuc, Tran Ngoc Huu, Trinh Minh Ngoc, Nguyen Hong Hue, Le Thanh Quang, Do Thi Xuan, Tran Chi Nhan, Ly Ngoc Thanh Xuan, Le Thi My Thu, Isao Akagi, Jun-Ichi Sakagami, Nguyen Quoc Khuong

“…The treatment fertilized with 75% N of RFF plus an individual NFEB strain or their bacterial mixture had equivalent total N uptake to that the treatment fertilized with 100% N of RFF had, 120.8–125.5 mg N pot−1 compared to 124.4 mg N pot−1. Regarding the sesame yield, with a reduction by 25–50% N of RFF plus ASD-48 and ASD-21, either individually or in mixture, it increased by 2.39–8.56%, compared to that in the treatment fertilized with 100% N of RFF.…”
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On the system of two nonlinear difference equations xn+1=A+xn−1/yn,   yn+1=A+yn−1/xn by G. Papaschinopoulos, C. J. Schinas

“…We study the oscillatory behavior, the periodicity and the asymptotic behavior of the positive solutions of the system of two nonlinear difference equations xn+1=A+xn−1/yn and yn+1=A+yn−1/xn, where A is a positive constant, and n=0,1,….…”
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On Reciprocal Series of Generalized Fibonacci Numbers with Subscripts in Arithmetic Progression by Neşe Ömür

“…We investigate formulas for closely related series of the forms: ∑∞𝑛=01/(𝑈𝑎𝑛+𝑏+𝑐), ∑∞𝑛=0(−1)𝑛𝑈𝑎𝑛+𝑏/(𝑈𝑎𝑛+𝑏+𝑐)2, ∑∞𝑛=0𝑈2(𝑎𝑛+𝑏)/(𝑈2𝑎𝑛+𝑏+𝑐)2 for certain values of 𝑎, 𝑏, and 𝑐.…”
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New Results on the (Super) Edge-Magic Deficiency of Chain Graphs by Ngurah Anak Agung Gede, Adiwijaya

“…Furthermore, the edge-magic deficiency of a graph G, μ(G), is defined as the smallest nonnegative integer n such that G∪nK1 has an edge-magic labeling. Similarly, the super edge-magic deficiency of a graph G, μs(G), is either the smallest nonnegative integer n such that G∪nK1 has a super edge-magic labeling or +∞ if there exists no such integer n. …”
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The radial limits and boundary uniqueness by Danielyan, Arthur

“…Fatou, F. and M. Riesz, N. N. Lusin, I. I. Privalov, and A. Beurling. Only classical tools available at the times of Fatou are used. …”
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