Short-term Optimal Scheduling Model for Hydropower Stations Considering Peak Shaving of Local and HVDC Receiving Power Grids by ZHOU Binbin, ZHANG Congtong, LIU Benxi, CHENG Chuntian, CHEN Kai, WANG Youxiang

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Optimizing transient gas network control for challenging real-world instances using MIP-based heuristics by Hennings, Felix, Hoppmann-Baum, Kai, Zittel, Janina

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Optimal Allocation and Sizing of Battery Energy Storage System in Distribution Network Using Mountain Gazelle Optimization Algorithm by Umme Mumtahina, Sanath Alahakoon, Peter Wolfs

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A Combined Clearing Model of Electric Energy, Inertia, and Primary Frequency Regulation Considering Emergency Interruptible Load Service by ZHU Lan, ZHANG Xuehan, TANG Longjun, QIU Nianhang, TIAN Yingjie

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Optimizing Heat Pump Control in an NZEB via Model Predictive Control and Building Simulation by Christian Baumann, Philipp Wohlgenannt, Wolfgang Streicher, Peter Kepplinger

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Energy efficient optimal sink position selection algorithm for multi-sink wireless sensor networks by TANG Wei, GUO Wei

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Lise Öğrencilerinin Tam Değer Fonksiyonu Bilgisini Oluşturma Süreci by Murat ALTUN, Aslıhan YILMAZ

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Online Vulnerability Assessment in Cascading Failure Analysis Using an Intelligence Monitoring Model by Saber Armaghani, Zahra Moravej

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Novel Multi-Stage Phasor Measurement Unit Placement on Critical Buses with Observability Assessment by Muhammad Musadiq Ahmed, Muhammad Amjad, Muhammad Ali Qureshi, Muhammad Omer Khan, Zunaib Maqsood Haider

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Balancing water saving, market attractiveness, and pollution control in crop spatial planting structure planning of arid regions by Longbin Hao, Shouhong Zhang, Fan Zhang, Yufei Ren, Xinyu Zhang, Jing Yan

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A Multi-Time Scale Scheduling Model for Power Generation Systems with a High Proportion of New Energy Including Pumped Storage Power Stations by GU Huijie, ZHOU Huafeng, PENG Chaoyi, HU Yaping, ZHAO Xinyi, XIE Jun, SHI Xionghua

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SUBJECT «NUMBER SYSTEMS» IN TWO-LEVELED FORMAT PREPARATION TEACHERS OF MATHEMATICS by V. I. Igoshin

Subjects: “…number systems – natural, integer, rational, real, complex, double and dual numbers…”
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Construction of Nodal Bubbling Solutions for the Weighted Sinh-Poisson Equation by Yibin Zhang, Haitao Yang

“…By a constructive way, we prove that for any positive integer , there exists a nodal bubbling solution which concentrates at the origin and the other -points , , such that as , , where and is an odd integer with , or is an even integer. …”
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A new epidemic model of sexually transmittable diseases: a fractional numerical approach by Mudassar Rafique, Muhammad Aziz Ur Rehamn, Aisha M. Alqahtani, Muhammad Rafiq, A. F. Aljohani, Zafar Iqbal, Nauman Ahmed, Shafiullah Niazai, Ilyas Khan

“…Abstract This study aims at investigating the dynamics of sexually transmitted infectious disease (STID), which is serious health concern. In so doing, the integer order STID model is progressed in to the time-delayed non-integer order STID model by introducing the Caputo fractional derivatives in place of integer order derivatives and including the delay factors in the susceptible and infectious compartments. …”
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Reflected entropy in random tensor networks. Part III. Triway cuts by Chris Akers, Thomas Faulkner, Simon Lin, Pratik Rath

“…Abstract For general random tensor network states at large bond dimension, we prove that the integer Rényi reflected entropies (away from phase transitions) are determined by minimal triway cuts through the network. …”
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The Exponential Diophantine Equation 2x+by=cz by Yahui Yu, Xiaoxue Li

“…Let b and c be fixed coprime odd positive integers with min{b,c}>1. In this paper, a classification of all positive integer solutions (x,y,z) of the equation 2x+by=cz is given. …”
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A Hybrid IP/GA Approach to the Parallel Production Lines Scheduling Problem by Huizhi Ren, Shenshen Sun

“…Considering the time window and technical constraints, a mixed integer linear programming (MILP) model is formulated for the problem. …”
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Further Results on a Curious Arithmetic Function by Long Chen, Kaimin Cheng, Tingting Wang

“…Let p be an odd prime number and n be a positive integer. Let vpn, N∗, and Q+ denote the p-adic valuation of the integer n, the set of positive integers, and the set of positive rational numbers, respectively. …”
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A generalization of a theorem by Cheo and Yien concerning digital sums by Curtis N. Cooper, Robert E. Kennedy

“…For a non-negative integer n, let s(n) denote the digital sum of n. Cheo and Yien proved that for a positive integer x, the sum of the terms of the sequence{s(n):n=0,1,2,…,(x−1)}is (4.5)xlogx+0(x). …”
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On the Fractional Derivative of Dirac Delta Function and Its Application by Zaiyong Feng, Linghua Ye, Yi Zhang

“…The Dirac delta function and its integer-order derivative are widely used to solve integer-order differential/integral equation and integer-order system in related fields. …”
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