Scaled-Invariant Extended Quasi-Lindley Model: Properties, Estimation, and Application by Mohamed Kayid, Abdulrahman Abouammoh, Ghadah Alomani

“…This extension was asymmetrically distributed on the positive real number line. Maximum likelihood, least square error, Anderson–Darling, and expectation maximization algorithms were used to estimate the parameters studied. …”
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Topological indices of novel drugs used in blood cancer treatment and its QSPR modeling by Sumiya Nasir, Nadeem ul Hassan Awan, Fozia Bashir Farooq, Saima Parveen

“…A topological index is a real number obtained from the chemical graph structure. …”
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Neighbourhood Sum Degree-Based Indices and Entropy Measures for Certain Family of Graphene Molecules by Jun Yang, Julietraja Konsalraj, Arul Amirtha Raja S.

“…A topological index (TI) is a real number that defines the relationship between a chemical structure and its properties and remains invariant under graph isomorphism. …”
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Multiple positive solutions for (n-1, 1)-type semipositone conjugate boundary value problems for coupled systems of nonlinear fractional differential equations by Chengjun Yuan

“…\end{gather*} where $\lambda$ is a parameter, $\alpha\in(n-1, n]$ is a real number and $n\geq 3$, and $\mathbf{D}_{0+}^\alpha$ is the Riemann-Liouville's fractional derivative, and $f, g$ are continuous and semipositone. …”
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The politics of subterranean atmospheres in China: a study of contemporary chinese mining art by Marijn Nieuwenhuis

“…Official reports suggest that over half a million people, almost exclusively rural migrants, live with the incurable disease. The real number could be 10 times as high (SCMP, 2021). …”
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Constant roll inflation and Finsler geometry: exploring anisotropic universe with scalar factor parametrization by S. K. Narasimhamurthy, J. Praveen

“…We approach the theory of cosmic evolution using Finsler geometry, incorporating the parametrization of the anisotropic parameter by the scalar factor a(t) by $$\eta \left( t \right) =a\left( t \right) ^{-n}$$ η t = a t - n , where n is any real number. Our exploration mainly focuses on constant roll inflation, The analytical expression for Hubble parameter is found by using constant roll condition, and we derive crucial cosmological parameters such as scalar factor a(t), scalar spectral index $$(n_{s})$$ ( n s ) , and tensor-to-scalar ratio (r) for the inflationary universe. …”
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The sum of a hybrid arithmetic function over a sparse sequence by Huafeng Liu, Rui Liu

“…In this paper, we are able to establish the asymptotic formula of the sum of the hybrid arithmetic function $ \lambda_{f}^{l}(n)\sigma^{c}(n)\phi^{d}(n) $ over the sparse sequence $ \{n: n = a^2+b^2\} $, namely, $ \sum_{n\leq x} \lambda_{f}^{l}(n)\sigma^{c}(n)\phi^{d}(n)r_2(n) $ for $ 1\leq l\leq 8 $, where $ x $ is a sufficiently large real number, the function $ r_2(n) $ denotes the number of representations of $ n $ as $ n = a^2 + b^2 $, $ a, b, l\in \mathbb{Z} $ and $ c, d \in \mathbb{R} $.…”
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Some Inequalities between General Randić-Type Graph Invariants by Imran Nadeem, Saba Siddique, Yilun Shang

“…The general Randić and zeroth-order general Randić indices are Randić-type graph invariants and are defined for a graph G with vertex set V as RαG=∑υi∼υjdidjα and QαG=∑vi∈Vdiα, respectively, where α is an arbitrary real number, di denotes the degree of a vertex υi, and υi∼υj represents the adjacency of vertices υi and υj in G. …”
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Bayesian minimum mean square error for transmissivity sensing by Boyu Zhou, Boulat A. Bash, Saikat Guha, Christos N. Gagatsos

“…When the probe's mean photon number is any (nonnegative) real number, we conjecture the form of the optimal probe state and we study the performance of photon counting, which is a suboptimal yet practical measurement. …”
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On the number of nonnegative sums for certain function by Ku, Cheng Yeaw, Wong, Kok Bin

“…For each i ∈ [k] and j ∈ [n], let wᵢ(j) be a real number. Suppose that ∑ i∈[k], j∈[n] wᵢ(j) ≥ 0. …”
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Conjugated tricyclic graphs with maximum variable sum exdeg index by Muhammad Rizwan, Akhlaq Ahmad Bhatti, Muhammad Javaid, Yilun Shang

“…The variable sum exdeg index, initially introduced by Vukicevic (2011) [20] for predicting the octanol water partition co-efficient of certain chemical compounds, is an invariant for a graph G and defined as SEIa(G)=∑v∈V(G)(dvadv), where dv is the degree of vertex v∈V(G), a is a positive real number different from 1. In this paper, we defined sub-collections of tricyclic graphs say T2m3,T2m4,T2m6 and T2m7. …”
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Applications of Certain <i>p</i>-Valently Analytic Functions by Georgia Irina Oros, Gheorghe Oros, Shigeyoshi Owa

“…In this paper, a new operator <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi>D</mi><mi>s</mi></msup><mi>f</mi></mrow></semantics></math></inline-formula>, with <i>s</i> a real number, is defined considering functions that belong to the known class of <i>p</i>-valent analytic functions in the open unit disk <i>U</i>. …”
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A non-geodesic analogue of Reshetnyak’s majorization theorem by Toyoda Tetsu

“…For any real number κ\kappa and any integer n≥4n\ge 4, the Cycln(κ){{\rm{Cycl}}}_{n}\left(\kappa ) condition introduced by Gromov (CAT(κ)-spaces: construction and concentration, Zap. …”
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Campaign of 1958 on Literacy Eradication in Ulyanovsk Region as Reflection of Socio-Cultural Policy of USSR in Period of N. S. Khrushchev’s Transformations by O. R. Khasyanov

“…It is proved that the party instances underestimated the real number of illiterate population.…”
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Forecasting Covid-19 in the United Kingdom: A dynamic SIRD model. by Gustavo M Athayde, Airlane P Alencar

“…Finally, the estimated trajectory of the effective reproduction rate has proven to be very compatible with the real number of cases and deaths. Its forecasts with confident intervals are also presented.…”
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Possibility Method for Triangular Intuitionistic Fuzzy Multi-attribute Group Decision Making with Incomplete Weight Information by Shu-Ping Wan, Jiu-Ying Dong

“…Triangular intuitionistic fuzzy numbers (TIFNs) are a special kind of intuitionistic fuzzy sets (IFSs) on a real number set. TIFNs are useful to deal with ill-known quantities in decision data and decision making problems themselves. …”
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Optimal Scheduling of Microgrid with Multiple Distributed Resources Using Interval Optimization by Chongxin Huang, Dong Yue, Song Deng, Jun Xie

“…To reduce the computational complexity in solving the model, the possibility degree comparison between an interval and a real number is used to convert the interval constraints into the general ones; meanwhile, some slack variables and complementary conditions are introduced to eliminate the absolute-value operation. …”
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A fuzzy interval optimization approach for p-hub median problem under uncertain information. by Yu Wang, Tao Zhu, Kaibo Yuan, Xin Li

“…Compared to traditional random, robust, and real-number-based optimization approaches, the proposed optimization approach reduces the total cost in uncertain environments by 1.47%, 2.80%, and 8.85%, respectively.…”
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The niche graphs of interval orders by Park Jeongmi, Sano Yoshio

“…A digraph D = (V,A) is called a semiorder (or a unit interval order ) if there exist a real-valued function f : V → R on the set V and a positive real number δ ∈ R such that (x, y) ∈ A if and only if f(x) > f(y)+δ. …”
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Comments on the Bernoulli Distribution and Hilbe’s Implicit Extra-Dispersion by Daniel A. Griffith

“…This paper explicitly exposes his hidden quantity by demonstrating that the variance in/deflation it represents occurs in an underlying predicted beta random variable whose real number values are rounded to their nearest integers to convert to a Bernoulli random variable, with this discretization masking any materialized extra-Bernoulli variation. …”
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