The integration of flipped classroom into university physical education teaching reform practice from the perspective of multimedia by Feng Bin, Zhao Jingjing

“…In this paper, we first use a genetic algorithm to arrange the physical education course information in a real number coding way to form chromosomes and initial populations. …”
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Multi-UAV Reconnaissance Task Allocation in 3D Urban Environments by Xiangrui Tian, Tong Xu, Xin Luo, Yinjun Jia, Jie Yin

“…A reconnaissance method is designed for each type of target, and the mission is described as a heterogeneous target multi-traveling salesman problem model for solving complex optimization problems with multiple constraints.To address these complex optimization problems, multi-group symbiotic organisms search algorithms (MGSOS) are proposed, which maintain the diversity of species in the population through multi-group strategies and enhance information exchange between individuals in three stages. Real-number encoding is used to satisfy partial constraints and simplify the search space, improving the optimization efficiency of the solution. …”
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Some novel refinements of Hermite-Hadamard and Pachpatte type integral inequalities involving a generalized preinvex function pertaining to Caputo-Fabrizio fractional integral oper... by Muhammad Tariq, Asif Ali Shaikh, Sotiris K. Ntouyas, Jessada Tariboon

“…To demonstrate the practical utility of our findings, we present several inequalities using specific real number means. Overall, our investigation sheds light on convex analysis within the context of fractional calculus.…”
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wGrapeUNIPD-DL: An open dataset for white grape bunch detection by Marco Sozzi, Silvia Cantalamessa, Alessia Cogato, Ahmed Kayad, Francesco Marinello

“…The dataset was made available both in terms of images and labels. The real number of bunches counted in the field, and the number of bunches visible in the image (not covered by other vine structures) was recorded for a group of images in this dataset.…”
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Asynchronous Floating-Point Adders and Communication Protocols: A Survey by Pallavi Srivastava, Edwin Chung, Stepan Ozana

“…Addition is the key operation in digital systems, and floating-point adder (FPA) is frequently used for real number addition because floating-point representation provides a large dynamic range. …”
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A Fair Performance Comparison between Complex-Valued and Real-Valued Neural Networks for Disease Detection by Mario Jojoa, Begonya Garcia-Zapirain, Winston Percybrooks

“…The best complex number-based classifier obtained in the Receiving Operating Characteristic (ROC) space presents a Euclidean distance of 0.26127 with respect to the ideal classifier, as opposed to the best real number-based classifier, whose Euclidean distance to the ideal is 0.36022 for the same task of melanoma detection. …”
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Optimal Control Problems without Terminal Constraints: The Turnpike Property with Interior Decay by Gugat Martin, Lazar Martin

“…More generally, the result holds for subintervals of the form [rT,T ], where r ∈ (0, 1/2) is a real number. Using this result inductively implies that the decay of the integral on such a subinterval in the objective function is faster than the reciprocal value of a power series in T with positive coefficients. …”
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Improved discrete cuckoo‐search algorithm for mixed no‐idle permutation flow shop scheduling with consideration of energy consumption by Lingchong Zhong, Wenfeng Li, Bin Qian, Lijun He

“…Firstly, according to the characteristics of the individual update formula in the two stages of the standard CSA, the paper replaces the real number calculation or vector calculation in the original update formula with a discrete operation to keep the update mechanism of each stage unchanged. …”
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Batch Evaluation Metrics in Information Retrieval: Measures, Scales, and Meaning by Alistair Moffat

“…In connection with the first two of those categories we also provide examples of the knowledge that is captured and represented by numeric mappings to the real number line. Focusing then on information retrieval, we argue that document rankings are categorical data, and that the role of an effectiveness metric is to provide a single value that summarizes the usefulness to a user or population of users of any given ranking, with usefulness able to be represented as a continuous variable on a ratio scale. …”
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Particle swarm optimization-based automatic parameter selection for deep neural networks and its applications in large-scale and high-dimensional data. by Fei Ye

“…In the proposed approach, network configurations were coded as a set of real-number m-dimensional vectors as the individuals of the PSO algorithm in the search procedure. …”
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Optimizing the Bit-flipping Method for Decoding Low-density Parity-check Codes in Wireless Networks by Using the Artificial Spider Algorithm by Ali Jasim Ghaffoori, Wameedh Riyadh Abdul-Adheem

“…Then, the BF algorithm with a low-complexity optimizer only requires real number operations before iteration and logical operations in each iteration. …”
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FACTORS INFLUENCING THE OCCURRENCE AND OUTCOME OF CAR REAR-END COLLISIONS by Boudewijn van KAMPEN

“…There is also a lack of adequate data with regard to the real number of whiplash injuries, their severity, and the longer-term consequences. …”
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New Forms of Likelihood Ratio Test for SAR Change Detection by Viet T. Vu, Mats I. Pettersson, Thomas K. Sjogren

“…They can be utilized to develop change detection methods for different types of data, e.g., data in scalar form, data in vector form, data represented in complex number, and data represented in real number. The flexibility of the proposed forms is also shown by the capability to implement change detection methods in the iterative and non-iterative ways. …”
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Investigating the properties of octane isomers by novel neighborhood product degree-based topological indices by Muhammad Waheed Rasheed, Abid Mahboob, Iqra Hanif

“…A topological index is a real number calculated from the structure of a chemical compound to describe its topology. …”
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Multiple positive solutions to systems of nonlinear semipositone fractional differential equations with coupled boundary conditions by Chengjun Yuan, Daqing Jiang, Donal O'Regan, Ravi Agarwal

“…\end{gather*} where $\lambda$ is a parameter, $a, b, \xi,\eta$ satisfy $\xi,\eta\in(0,1)$, $0<ab\xi\eta<1$, $\alpha \in(n-1, n]$ 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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A Combination of Genetic Algorithm and Particle Swarm Optimization for Vehicle Routing Problem with Time Windows by Sheng-Hua Xu, Ji-Ping Liu, Fu-Hao Zhang, Liang Wang, Li-Jian Sun

“…The improvements of the proposed algorithm include: using the particle real number encoding method to decode the route to alleviate the computation burden, applying a linear decreasing function based on the number of the iterations to provide balance between global and local exploration abilities, and integrating with the crossover operator of genetic algorithm to avoid the premature convergence and the local minimum. …”
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On Krause's Multi-Agent Consensus Model With State-Dependent Connectivity by Blondel, Vincent D., Hendrickx, Julien, Tsitsiklis, John N.

“…We study a model of opinion dynamics introduced by Krause: each agent has an opinion represented by a real number, and updates its opinion by averaging all agent opinions that differ from its own by less than one. …”
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Wiretap lattice codes from number fields with no small norm elements by Ong, Soon Sheng, Oggier, Frédérique

“…We identify as code design criterion for nite lattice constellations a nite sum of inverse of algebraic norms, in fact the analogous for nite sums of the known criterion for in nite constellations, which motivates us to study totally real number elds with few elements of small norms, over which ideal lattices can be built to provide wiretap lattice codes. …”
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Implementations and the independent set polynomial below the Shearer threshold by Galanis, A, Goldberg, L, Stefankovic, D

“…Informally, an implementation of a real number λ� is a graph whose hard-core partition function, evaluated at λ, simulates a vertex-weight of λ� in the sense that λ� is the ratio between the contribution to the partition function from independent sets containing a certain vertex and the contribution from independent sets that do not contain that vertex. …”

Fixed point for derivative and differentiation of single-valued and set-valued functions on metric spaces by Muslikh, Mohamad

“…In addition, this study attempts to extend those results for the derivative function defined on the whole real number line. By the concepts of commutativity and compatibility between the function and its derivatives show that the derivative function of the real-valued function has a fixed point. …”
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