Teaching of decimal positional number system and decimal fractions in the 5-th grade by Albertas Bakštys, Irena Šukienė, Albina Viliminė

“… Long, almost 3500 years delay was observed, until the notion of positional number system originating from Babylon was introduced in Western Europe and, afterwards, in aIl over the modern world. …”
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A Note on the Primitive Roots and the Golomb Conjecture by Yiwei Hou, Hongyan Wang

“…Then, for any positive integer n with p1/2+ɛ≤n<p, there must exist two primitive roots α and β modulo p with 1<α,β≤n−1 such that the equation n=α+β holds, where 0<ɛ<1/2 is a fixed positive number. In other words, n can be expressed as the exact sum of two primitive roots modulo p.…”
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Multiple Positive Solutions of Nonhomogeneous Elliptic Equations in Unbounded Domains by Tsing-San Hsu

“…We will show that under suitable conditions on f and h, there exists a positive number λ∗ such that the nonhomogeneous elliptic equation −Δu+u=λ(f(x,u)+h(x)) in Ω, u∈H01(Ω), N≥2, has at least two positive solutions if λ∈(0,λ∗), a unique positive solution if λ=λ∗, and no positive solution if λ>λ∗, where Ω is the entire space or an exterior domain or an unbounded cylinder domain or the complement in a strip domain of a bounded domain. …”
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Positive Solutions for Three-Point Boundary Value Problem of Fractional Differential Equation with -Laplacian Operator by Shang-lin Yao, Guo-hui Wang, Zhi-ping Li, Li-jun Yu

“…We investigate the existence of multiple positive solutions for three-point boundary value problem of fractional differential equation with -Laplacian operator , where are the standard Riemann-Liouville derivatives with , and the constant is a positive number satisfying ; -Laplacian operator is defined as . …”
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Sensitivity of Eigenvalues to Nonsymmetrical, Dissipative Control Matrices by Vernon H. Neubert

“…Thus there is a definite pattern to the positions of numbers in the ith and jth rows of the C matrix, that is, a positive number on the diagonal is paired with an equal negative number, or zero, off the diagonal. …”
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Evolution of Electoral Preferences for a Regime of Three Political Parties by María Guadalupe Medina Guevara, Héctor Vargas Rodríguez, Pedro Basilio Espinoza Padilla, José Luis Gozález Solís

“…In this new model, pairs of agents interact only if their respective opinions are alike; a positive number called confidence bound is introduced with this purpose; if opinions are similar, they update their opinion considering each other’s opinion, while if they are not alike, each agent updates her opinion considering only her individual map. …”
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Behavior of second order nonlinear differantial equations by Rina Ling

“…It includes properties such as positivity, number of zeroes, oscillatory behavior, boundedness and monotonicity of the solutions.…”
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On the spectrum of a distribution function and on unique factorization by T. Pham-Gia

“…The spectrum of a distribution function is related to the quasi-analyticity of a class of functions {CM(j)}, where M(j) is a multisequence of positive numbers. For a regular multisequence, a result on the uniqueness of characteristic function decomposition is given.…”
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On the Difference Equation xn+1=∑j=0kajfj(xn−j) by Stevo Stevic

“…This paper studies the boundedness character and the global attractivity of positive solutions of the difference equation xn+1=∑j=0kajfj(xn−j),n∈ℕ0, where aj are positive numbers and fj are continuous decreasing self-maps of the interval (0,∞) for j=0,1,…,k.…”
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New Modified Conformable Fractional Integral Inequalities of Hermite–Hadamard Type with Applications by Thabet Abdeljawad, Pshtiwan Othman Mohammed, Artion Kashuri

“…Finally, we present some examples to demonstrate the usefulness of conformable fractional inequalities in the context of special means of the positive numbers.…”
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The power mean and the logarithmic mean by Christopher Olutunde Imoru

“…In a very interesting and recent note, Tung-Po Lin [1] obtained the least value q and the greatest value p such that Mp<L<Mqis valid for all distinct positive numbers x and y where Ms=(xs+ys2)1s   and   L=x−yIn x-In y…”
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On the Dynamics of the Recursive Sequence by Mehmet Gümüş, Özkan Öcalan, Nilüfer B. Felah

“…We investigate the boundedness character, the oscillatory, and the periodic character of positive solutions of the difference equation , where , , and the initial conditions are arbitrary positive numbers. We investigate the boundedness character for . …”
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On th-Order Slant Weighted Toeplitz Operator by S. C. Arora, Ritu Kathuria

“…Let be a sequence of positive numbers with , when and when . A th-order slant weighted Toeplitz operator on is given by , where is the multiplication on and is an operator on given by , being the orthonormal basis for . …”
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Sharp Bounds for Power Mean in Terms of Generalized Heronian Mean by Hongya Gao, Jianling Guo, Wanguo Yu

“…Here, Hω(a,b) and Ar(a,b) are the generalized Heronian and the power means of two positive numbers a and b, respectively.…”
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The Weighted Fermat Triangle Problem by Yujin Shen, Juan Tolosa

“…We completely solve the generalized Fermat problem: given a triangle 𝑃1, 𝑃2, 𝑃3 and three positive numbers 𝜆1, 𝜆2, 𝜆3, find a point 𝑃 for which the sum 𝜆1𝑃1𝑃+𝜆2𝑃2𝑃+𝜆3𝑃3𝑃 is minimal. …”
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Optimal Lower Power Mean Bound for the Convex Combination of Harmonic and Logarithmic Means by Yu-Ming Chu, Shan-Shan Wang, Cheng Zong

“…We find the least value λ∈(0,1) and the greatest value p=p(α) such that αH(a,b)+(1−α)L(a,b)>Mp(a,b) for α∈[λ,1) and all a,b>0 with a≠b, where H(a,b), L(a,b), and Mp(a,b) are the harmonic, logarithmic, and p-th power means of two positive numbers a and b, respectively.…”
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A Best Possible Double Inequality for Power Mean by Yong-Min Li, Bo-Yong Long, Yu-Ming Chu

“…Where Mp(a,b) is the pth power mean of two positive numbers a and b.…”
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The chromatic sum of a graph: history and recent developments by Ewa Kubicka

“…A natural generalization of chromatic sum is optimum cost chromatic partition (OCCP) problem, where the costs of colors can be arbitrary positive numbers. Existing results about chromatic sum, strength of a graph, and OCCP problem are presented together with some recent developments. …”
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Sharp Power Mean Bounds for the Combination of Seiffert and Geometric Means by Yu-Ming Chu, Ye-Fang Qiu, Miao-Kun Wang

“…Here, Mp(a,b), P(a,b), and G(a,b) denote the power of order p, Seiffert, and geometric means of two positive numbers a and b, respectively.…”
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Schatten's theorems on functionally defined Schur algebras by Pachara Chaisuriya, Sing-Cheong Ong

“…For each triple of positive numbers p,q,r≥1 and each commutative C*-algebra ℬ with identity 1 and the set s(ℬ) of states on ℬ, the set &#x1D4AE;r(ℬ) of all matrices A=[ajk] over ℬ such that ϕ[A[r]]:=[ϕ(|ajk|r)] defines a bounded operator from ℓp to ℓq for all ϕ∈s(ℬ) is shown to be a Banach algebra under the Schur product operation, and the norm ‖A‖=‖|A|‖p,q,r=sup{‖ϕ[A[r]]‖1/r:ϕ∈s(ℬ)}. …”
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