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Keywords = trisection

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27 pages, 6449 KiB  
Article
Design of a Digital Platform for Carbon Generalized System of Preferences Communities Based on the TAO Model of Three-Way Decisions
by Huilan Wei, Chendan Yang, Chuanye Wen and Yanlong Wang
Appl. Sci. 2024, 14(16), 7423; https://doi.org/10.3390/app14167423 - 22 Aug 2024
Cited by 2 | Viewed by 1554
Abstract
The increasing carbon dioxide emissions from human activities present a significant global concern, with approximately two-thirds of greenhouse gas emissions attributed to household activities. The Carbon Generalized System of Preferences (CGSP) has emerged as a pivotal mechanism to incentivize voluntary carbon reduction in [...] Read more.
The increasing carbon dioxide emissions from human activities present a significant global concern, with approximately two-thirds of greenhouse gas emissions attributed to household activities. The Carbon Generalized System of Preferences (CGSP) has emerged as a pivotal mechanism to incentivize voluntary carbon reduction in community households. This paper examines the development of a community digital management platform designed to incentivize voluntary carbon reduction at the community level, highlighting the critical role of reducing emissions in urban community life to meet carbon peak and neutrality targets. This study employs the TAO model of Three-Way Decision to establish a closed-loop operational framework for the CGSP digital platform. The platform features a Trisection mechanism to record and quantify low-carbon behaviors, an Action mechanism to classify and reward community members, and an Outcome mechanism to assess overall community carbon reduction achievements. Additionally, a user interface tailored for community users is developed to enhance platform accessibility. The proposed platform presents a practical and innovative solution for exploring emission reduction potential in urban communities. By systematically recording low-carbon behaviors, providing targeted rewards, and conducting comprehensive assessments, the platform aims to guide community residents in adopting sustainable practices. This study offers a valuable reference for the digital transformation, intelligent system construction, and development of new urban functional units within communities. Full article
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28 pages, 7154 KiB  
Article
Uneven Stiffness Coal Seam: A New Structural Factor Prone to Coal Burst Based on Stiffness Theory
by Tiewu Tang, Zhigang Deng, Weiguang Ren, Shankun Zhao, Yin Wang, Yang Zhao and Wenxin Li
Appl. Sci. 2024, 14(1), 24; https://doi.org/10.3390/app14010024 - 19 Dec 2023
Cited by 1 | Viewed by 1361
Abstract
The development of stiffness theory is constrained by its contradiction with engineering experience. Several easily overlooked details of stiffness theory were clarified, and a qualitative evaluation formula for the risk of coal burst was provided. Then a novel structure factor called uneven stiffness [...] Read more.
The development of stiffness theory is constrained by its contradiction with engineering experience. Several easily overlooked details of stiffness theory were clarified, and a qualitative evaluation formula for the risk of coal burst was provided. Then a novel structure factor called uneven stiffness coal seam structure (USCS), which consists of high stiffness zone (HSZ), low stiffness zone (LSZ), and contiguous roof and floor, was proposed. Many areas prone to coal bursts, such as thinning zones, bifurcating areas, magmatic intrusion areas, and remnant pillar affected areas of coal seam, are the HSZs of USCSs. Comparative analysis of the uneven stiffness coal seam under different roof conditions and examination of the simplified trisection model of the USCS were conducted. Then 6 groups of 14 simplified 2D models using COMSOL5.2 was constructed based on controlled variable method to simulate different responses of the USCS with varying parameters under same working conditions. The results demonstrate the following: (1) coal bursts occur only when both the failure criterion and the stiffness criterion are simultaneously satisfied, the risk of coal burst (rCB) is the product of the risk of failure (rF) and the risk of instability (rI). (2) The pressure concentration function of USCS facilitates stress concentration from LSZ to HSZ, thus raising the rF in HSZ. The stiffness reduction function of USCS reduces the local mine stiffness (LMS) of the HSZ, allowing the system to meet the stiffness criterion even with a hard roof, thereby raising the rI in HSZ and reconciling the contrast between stiffness theory and engineering experience. Failures within HSZ of the USCS enables the roof strata to release bending deformation energy without roof breakage. (3) The normal stress of HSZ is positively correlates with the value of ERHRKHSL/KLSH; The LMS of the HSZ is positively correlated with the value of ERKL/KHHRSLSH. The USCS boasts significant advantages in integrating and harmonizing various existing theories and explaining multiple specific types of coal bursts. By applying relevant USCS findings, new explanations can be provided for engineering phenomena such as the time-delayed coal bursts, the inefficient pressure relief in ultra thick coal seams, and the “microseism deficiency” observed prior to certain coal bursts. Full article
(This article belongs to the Special Issue Advanced Underground Coal Mining and Ground Control Technology)
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12 pages, 1382 KiB  
Article
Similarity Classes of the Longest-Edge Trisection of Triangles
by Francisco Perdomo and Ángel Plaza
Axioms 2023, 12(10), 913; https://doi.org/10.3390/axioms12100913 - 25 Sep 2023
Viewed by 1101
Abstract
This paper studies the triangle similarity classes obtained by iterative application of the longest-edge trisection of triangles. The longest-edge trisection (3T-LE) of a triangle is obtained by joining the two points which divide the longest edge in three equal parts with the opposite [...] Read more.
This paper studies the triangle similarity classes obtained by iterative application of the longest-edge trisection of triangles. The longest-edge trisection (3T-LE) of a triangle is obtained by joining the two points which divide the longest edge in three equal parts with the opposite vertex. This partition, as well as the longest-edge bisection (2T-LE), does not degenerate, which means that there is a positive lower bound to the minimum angle generated. However, unlike what happens with the 2T-LE, the number of similarity classes appearing by the iterative application of the 3T-LE to a single initial triangle is not finite in general. There are only three exceptions to this fact: the right triangle with its sides in the ratio 1:2:3 and the other two triangles in its orbit. This result, although of a combinatorial nature, is proved here with the machinery of discrete dynamics in a triangle shape space with hyperbolic metric. It is also shown that for a point with an infinite orbit, infinite points of the orbit are in three circles with centers at the points with finite orbits. Full article
(This article belongs to the Section Mathematical Analysis)
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24 pages, 43640 KiB  
Article
Neck Structure Optimal Design of the Turbine Wheel for Containment Design of the Air Turbine Starter
by Liqiang Chen, Haijun Xuan, Wenbin Jia, Jianxin Liu, Zehui Fang and Yao Zheng
Aerospace 2023, 10(9), 802; https://doi.org/10.3390/aerospace10090802 - 14 Sep 2023
Cited by 3 | Viewed by 2223
Abstract
The airworthiness standards of the transport category airplanes stipulate that the high energy rotor equipment must be of the sufficient containment capacity. It is of great importance to study the containment and weight reduction for the air turbine starter. In this paper, based [...] Read more.
The airworthiness standards of the transport category airplanes stipulate that the high energy rotor equipment must be of the sufficient containment capacity. It is of great importance to study the containment and weight reduction for the air turbine starter. In this paper, based on an OSF design, Kriging response surface model and MOGA algorithm, a neck structure optimal design method was proposed for the air turbine wheel. Using the optimal design method, the optimal structural parameters were suggested as the design parameters, and verified by the over-speed burst test. The maximum errors of the burst speeds between the experimental and design values are less than 2%, and the neck structure turbine wheel breaks in the neck as expected, validating the accuracy of the optimal design method. Then, the effects of turbine wheel burst modes on the containment were investigated quantitatively, and verified by the containment tests. Based on the experimental and simulation results, the containment design method was proposed for the neck structure turbine wheel. The results show that compared with the trisection wheel burst, the rim burst dramatically decrease the mass and initial kinetic energy of burst released fragments by 63.3% and 24.8%, thereby greatly reducing the thickness and the mass of the containment ring by 29.5% and 29.1%. Full article
(This article belongs to the Section Aeronautics)
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13 pages, 666 KiB  
Article
Numerical Analysis of New Hybrid Algorithms for Solving Nonlinear Equations
by Miguel Vivas-Cortez, Naseem Zulfiqar Ali, Awais Gul Khan and Muhammad Uzair Awan
Axioms 2023, 12(7), 684; https://doi.org/10.3390/axioms12070684 - 12 Jul 2023
Cited by 4 | Viewed by 2912
Abstract
In this paper, we propose two new hybrid methods for solving nonlinear equations, utilizing the advantages of classical methods (bisection, trisection, and modified false position), i.e., bisection-modified false position (Bi-MFP) and trisection-modified false position (Tri-MFP). We implemented the proposed algorithms for several benchmark [...] Read more.
In this paper, we propose two new hybrid methods for solving nonlinear equations, utilizing the advantages of classical methods (bisection, trisection, and modified false position), i.e., bisection-modified false position (Bi-MFP) and trisection-modified false position (Tri-MFP). We implemented the proposed algorithms for several benchmark problems. We discuss the graphical analysis of these problems with respect to the number of iterations and the average CPU time. Full article
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11 pages, 1214 KiB  
Article
Efficacy and Safety of the “Trisection Method” Training System for Robot-Assisted Radical Cystectomy at a Single Institution in Japan
by Keita Nakane, Toyohiro Yamada, Risa Tomioka-Inagawa, Fumiya Sugino, Naotaka Kumada, Makoto Kawase, Shinichi Takeuchi, Kota Kawase, Daiki Kato, Manabu Takai, Koji Iinuma and Takuya Koie
Curr. Oncol. 2022, 29(12), 9294-9304; https://doi.org/10.3390/curroncol29120728 - 29 Nov 2022
Cited by 4 | Viewed by 2244
Abstract
To maintain a surgeon’s concentration, reduce fatigue, and train young surgeons, surgical procedures for bladder cancer are divided into the following parts: robot-assisted radical cystectomy (RARC), bowel reconstruction, and totally intracorporeal urinary diversion (ICUD) (RARC+ICUD). Each part is performed by a different surgeon [...] Read more.
To maintain a surgeon’s concentration, reduce fatigue, and train young surgeons, surgical procedures for bladder cancer are divided into the following parts: robot-assisted radical cystectomy (RARC), bowel reconstruction, and totally intracorporeal urinary diversion (ICUD) (RARC+ICUD). Each part is performed by a different surgeon (Trisection method). We retrospectively evaluated the efficacy and safety of this approach at a single institution in Japan. One hundred consecutive patients who underwent RARC+ICUD at Gifu University Hospital between November 2018 and August 2022 were included in this study. The patient background, surgical outcomes, and postoperative complications were compared between surgeries by first-, second-, and third-generation surgeons. The overall survival (OS) and recurrence-free survival (RFS) were compared between surgeries by each generation. Of the 100 patients, 19, 38, and 43 RARCs were performed by first-, second-, and third-generation surgeons, respectively. There were 35, 25, and 39 patients who underwent ileal conduit, neobladder, and ureterocutaneostomy, respectively. No significant differences were found among the patients respective to the type of ICUDs. Although the first-generation surgeon had a significantly shorter operative time with RARC, the surgical time for bowel reconstruction, length of hospital stays, and incidence of postoperative complications were not significantly different among the groups. Additionally, OS and RFS did not differ significantly among the generations. The “Trisection method” is an effective and safe concept with no difference in outcomes between the generations of surgeons. Full article
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15 pages, 1790 KiB  
Article
A Comparative Study among New Hybrid Root Finding Algorithms and Traditional Methods
by Elsayed Badr, Sultan Almotairi and Abdallah El Ghamry
Mathematics 2021, 9(11), 1306; https://doi.org/10.3390/math9111306 - 7 Jun 2021
Cited by 15 | Viewed by 5854
Abstract
In this paper, we propose a novel blended algorithm that has the advantages of the trisection method and the false position method. Numerical results indicate that the proposed algorithm outperforms the secant, the trisection, the Newton–Raphson, the bisection and the regula falsi methods, [...] Read more.
In this paper, we propose a novel blended algorithm that has the advantages of the trisection method and the false position method. Numerical results indicate that the proposed algorithm outperforms the secant, the trisection, the Newton–Raphson, the bisection and the regula falsi methods, as well as the hybrid of the last two methods proposed by Sabharwal, with regard to the number of iterations and the average running time. Full article
(This article belongs to the Special Issue Dynamical Systems in Engineering)
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27 pages, 4935 KiB  
Article
Optimal Denoising and Feature Extraction Methods Using Modified CEEMD Combined with Duffing System and Their Applications in Fault Line Selection of Non-Solid-Earthed Network
by Sizu Hou and Wei Guo
Symmetry 2020, 12(4), 536; https://doi.org/10.3390/sym12040536 - 3 Apr 2020
Cited by 23 | Viewed by 2799
Abstract
As the non-solid-earthed network fails, the zero-sequence current of each line is highly non-stationary, and the noise component is serious. This paper proposes a fault line selection method based on modified complementary ensemble empirical mode decomposition (MCEEMD) and the Duffing system. Here, based [...] Read more.
As the non-solid-earthed network fails, the zero-sequence current of each line is highly non-stationary, and the noise component is serious. This paper proposes a fault line selection method based on modified complementary ensemble empirical mode decomposition (MCEEMD) and the Duffing system. Here, based on generalized composite multiscale permutation entropy (GCMPE) and support vector machine (SVM) for signal randomness detection, the complementary ensemble empirical mode decomposition is modified. The MCEEMD algorithm has good adaptability, and it can restrain the modal aliasing of empirical mode decomposition (EMD) at a certain level. The Duffing system is highly sensitive when the frequency of the external force signal is the same as that of the internal force signal. For automatically identifying chaotic characteristics, by using the texture features of the phase diagram, the method can quickly obtain the numerical criterion of the chaotic nature. Firstly, the zero-sequence current is decomposed into a series of intrinsic mode functions (IMF) to complete the first noise-reduction. Then an optimized smooth denoising model is established to select optimal IMF for signal reconstruction, which can complete the second noise-reduction. Finally, the reconstructed signal is put into the Duffing system. The trisection symmetry phase estimation is used to determine the relative phase of the detection signal. The faulty line in the non-solid-earthed network is selected with the diagram outputted by the Duffing system. Full article
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14 pages, 2981 KiB  
Article
Experimental and Numerical Investigations on the Local Direct Leakage Process of Rotary Regenerative Air Preheater
by Hua Zhu, Dechao Li, Henglin Pu, Limin Wang, Yang He, Yufan Bu and Defu Che
Appl. Sci. 2020, 10(4), 1523; https://doi.org/10.3390/app10041523 - 23 Feb 2020
Cited by 7 | Viewed by 3612
Abstract
An inherent defect of the operating rotary air preheaters (RAPH) is known as leakage, which seriously hinders the efficient and safe operation of RAPH. It is significant for the estimation of the direct leakage to determine the effects of different structure parameters of [...] Read more.
An inherent defect of the operating rotary air preheaters (RAPH) is known as leakage, which seriously hinders the efficient and safe operation of RAPH. It is significant for the estimation of the direct leakage to determine the effects of different structure parameters of sealing sheets and different operation parameters of a RAPH. A direct leakage set-up was built and a three-dimensional numerical model was established to explore the local direct air leaking process of rotary regenerative air preheater and study the effects of geometrical and operational parameters on the leakage. The numerical simulation using the transition k-kl-ω turbulence model was verified by the experimental results. The results show that the local direct air leakage mainly depends on the total pressure difference between the two sides of the seal instead of the one-side pressure. The air leakage can be significantly reduced by narrowing the leakage gap. The increase in the number of sealing sheets can reduce the air leakage own to the increase in the leakage resistance. The increase in the spacing between the adjacent sealing sheets can enlarge the recirculation zone and increase the energy loss of mainstream, greatly reducing the local direct air leakage. Due to the different size recirculation zone formation and streamline curvature induced by sealing sheet, the effect of bending angle on the direct air leakage varies. To obtain lower leakage rate, it is recommended for the rotor of tri-sectional air preheater to pass through flue gas section, secondary-air section, and primary-air section in sequence. Full article
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14 pages, 2122 KiB  
Article
Genome Size Unaffected by Variation in Morphological Traits, Temperature, and Precipitation in Turnip
by Supriyo Basak, Xudong Sun, Guangyan Wang and Yongping Yang
Appl. Sci. 2019, 9(2), 253; https://doi.org/10.3390/app9020253 - 11 Jan 2019
Cited by 9 | Viewed by 3144
Abstract
Genome size (GS) was proposed as proxy for gross phenotypic and environmental changes in plants. GS organismal complexity is an enigma in evolutionary biology. While studies pertaining to intraspecific GS variation are abundant, literatures reporting the adaptive significance of GS are largelymissing. During [...] Read more.
Genome size (GS) was proposed as proxy for gross phenotypic and environmental changes in plants. GS organismal complexity is an enigma in evolutionary biology. While studies pertaining to intraspecific GS variation are abundant, literatures reporting the adaptive significance of GS are largelymissing. During food shortage, Brassica rapa var. rapa (turnip) is used as food and fodder for sustaining the livelihood of residents in the Qinghai Tibetan Plateau (QTP), which is also known as “the roof of the world”. Thus, climatic extremities make this region a natural environment to test adaptive significance of GS variation in turnip landraces. Therefore, from the QTP and its adjacent regions (the Hengduanshan and the Himalayas), we investigated adaptive evolution of GS in turnip landraces. Tuber diameter of turnip landraces was found to be significantly correlated with most of the environmental factors. GS was also shown not to be associated with morphological traits, temperature, and precipitation. Moreover, principal component analyses based on the whole dataset trisected the landraces into three distinct populations based on landrace usage—Hengduanshan, QTP, and the Himalayas. Nonetheless, our cumulative dataset showed evidence of adaptation of turnip landrace to different environments throughnonassociated genomic and phenomic plasticity. Full article
(This article belongs to the Section Applied Biosciences and Bioengineering)
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12 pages, 828 KiB  
Article
Determining Soil Nutrients Reference Condition in Alpine Region Grassland, China: A Case Study of Hulun Buir Grassland
by Jiaxun Li, Feifei Cao, Di Wu, Xiao Fu, Ye Tian and Gang Wu
Sustainability 2018, 10(12), 4666; https://doi.org/10.3390/su10124666 - 7 Dec 2018
Cited by 9 | Viewed by 3054
Abstract
Grasslands represent a source of nutrient cycling, ecosystem stabilization, and services for human use. Grassland soil quality is commonly used as an indicator of ecosystem health and sustainability due to its strong correlation with overall grassland quality and ecosystem health. Although direct and [...] Read more.
Grasslands represent a source of nutrient cycling, ecosystem stabilization, and services for human use. Grassland soil quality is commonly used as an indicator of ecosystem health and sustainability due to its strong correlation with overall grassland quality and ecosystem health. Although direct and indirect effects of human activities or disturbances on soil can be taken into account, a benchmark (i.e., the reference condition (RC)) should be used and is needed to describe the baseline of an area without significant anthropogenic disturbance. Therefore, determination of the soil reference condition and suitable selection methods have become a key focal point in grassland protection and ecological assessments. In this study, several methods were selected to determine soil nutrient concentrations of Hulun Buir Grassland in northern China based on the proposed criteria. The concentrations of total organic matter, N, P, and K; 112 samples were analyzed using the population distribution method, trisection method, and regression model method. The reference concentrations of total organic matter, N, P, and K in soil were recommended to be 52.12 g/kg, 2.94 g/kg, 2.08 mg/kg, and 305.76 mg/kg, respectively. In the alpine region grassland, the major factors that impact nutrient concentration were agricultural activity and vegetation coverage. Sampling methods should be used preferentially in determining grassland soil reference condition and historical data; experts’ judgment could be used in substitution. Full article
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7 pages, 1647 KiB  
Article
Metal-Based Graphical SiO2/Ag/ZnS/Ag Hetero-Structure for Visible-Infrared Compatible Camouflage
by Dong Qi, Xian Wang, Fu Chen, Yongzhi Cheng and Rongzhou Gong
Materials 2018, 11(9), 1594; https://doi.org/10.3390/ma11091594 - 3 Sep 2018
Cited by 16 | Viewed by 4314
Abstract
A brand-new approach to realizing visible-infrared compatible camouflage is proposed based on a metal-based graphical hetero-structure (MGHS) SiO2/Ag/ZnS/Ag. For different thicknesses (20, 40, and 60 nm) of color-controlling sub-layer, high-contract and large-span structure colors (yellow, navy, and cyan) were observed due [...] Read more.
A brand-new approach to realizing visible-infrared compatible camouflage is proposed based on a metal-based graphical hetero-structure (MGHS) SiO2/Ag/ZnS/Ag. For different thicknesses (20, 40, and 60 nm) of color-controlling sub-layer, high-contract and large-span structure colors (yellow, navy, and cyan) were observed due to reintroducing constructive interference with a matching intensity of reflected waves. Ultra-low infrared emissivity values of 0.04, 0.05, and 0.04 (with high average reflectance values of 95.46%, 95.31%, and 95.09%) were obtained at 3–14 μm. In addition, the well-performing trisecting-circle structure further indicates that it is feasible to design on-demand compatible camouflage patterns using the easily-prepared MGHS. Full article
(This article belongs to the Special Issue Thin Film Fabrication and Surface Techniques)
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