A New Conjugate Gradient Algorithm with Sufficient Descent Property for Unconstrained Optimization

A new nonlinear conjugate gradient formula, which satisfies the sufficient descent condition, for solving unconstrained optimization problem is proposed. The global convergence of the algorithm is established under weak Wolfe line search. Some numerical experiments show that this new WWPNPRP+ algorithm is competitive to the SWPPRP+ algorithm, the SWPHS+ algorithm, and the WWPDYHS+ algorithm

Structural, electronic, magnetic properties of Cu-doped lead-apatite Pb10−x_{10-x}Cux_x(PO4_4)6_6O

The recent report of superconductivity in the Cu-doped PbPO compound stimulates the extensive researches on its physical properties. Herein, the detailed atomic and electronic structures of this compound are investigated, which are the necessary information to explain the physical properties, including possible superconductivity. By the first-principles electronic structure calculations, we find that the partial replacement of Pb at $4f$ site by Cu atom, instead of Pb at $6h$ site, plays a crucial role in dominating the electronic state at Fermi energy. The $3d$ electronic orbitals of Cu atom emerge near the Fermi energy and exhibit strong spin-polarization, resulting in the local moment around the doped Cu atom. Particularly, the ground state of Pb$_{10-x}$Cu$_x$(PO$_4$)$_6$O (x = 1) is determined to be a semiconducting phase, in good agreement with the experimental measurements

Effects of guanidinoacetic acid supplementation on liver and breast muscle fat deposition, lipid levels, and lipid metabolism-related gene expression in ducks

Exogenous supplementation of guanidinoacetic acid can mechanistically regulate the energy distribution in muscle cells. This study aimed to investigate the effects of guanidinoacetic acid supplementation on liver and breast muscle fat deposition, lipid levels, and lipid metabolism-related gene expression in ducks. We randomly divided 480 42 days-old female Jiaji ducks into four groups with six replicates and 20 ducks for each replicate. The control group was fed the basal diet, and the experimental groups were fed the basal diet with 400, 600, and 800 mg/kg (GA400, GA600, and GA800) guanidinoacetic acid, respectively. Compared with the control group, (1) the total cholesterol (p = 0.0262), triglycerides (p = 0.0357), malondialdehyde (p = 0.0452) contents were lower in GA400, GA600 and GA800 in the liver; (2) the total cholesterol (p = 0.0365), triglycerides (p = 0.0459), and malondialdehyde (p = 0.0326) contents in breast muscle were decreased in GA400, GA600 and GA800; (3) the high density lipoprotein (p = 0.0356) and apolipoprotein-A1 (p = 0.0125) contents were increased in GA600 in the liver; (4) the apolipoprotein-A1 contents (p = 0.0489) in breast muscle were higher in GA600 and GA800; (5) the lipoprotein lipase contents (p = 0.0325) in the liver were higher in GA600 and GA800; (6) the malate dehydrogenase contents (p = 0.0269) in breast muscle were lower in GA400, GA600, and GA800; (7) the insulin induced gene 1 (p = 0.0326), fatty acid transport protein 1 (p = 0.0412), and lipoprotein lipase (p = 0.0235) relative expression were higher in GA400, GA600, and GA800 in the liver; (8) the insulin induced gene 1 (p = 0.0269), fatty acid transport protein 1 (p = 0.0234), and lipoprotein lipase (p = 0.0425) relative expression were increased in GA400, GA600, and GA800 in breast muscle. In this study, the optimum dosage of 600 mg/kg guanidinoacetic acid improved the liver and breast muscle fat deposition, lipid levels, and lipid metabolism-related gene expression in ducks

Identify Important Cities in the Belt and Road Comprehensive Traffic Network

The Belt and Road has developed rapidly in recent years. Constructing a comprehensive traffic network is conducive to promoting the development of the the Belt and Road. To optimize the layout of the Belt and Road comprehensive traffic network, this paper identifies important cities. First, a weighted super adjacency matrix is defined, which includes sea, air, railway transportation and trans-shipment transportation between these transportation modes. With this matrix, the Belt and Road comprehensive traffic network (B&RCTN) is constructed. To identify important node cities, this paper proposes a method to calculate multi-layer centrality which considers inter-layer relationships. With the results of the above four centrality indexes, the Entropy Weight TOPSIS is used to synthesize the evaluation of the four indexes. Finally, the multi-layer comprehensive centrality rank of node cities is obtained. Result shows that there are 72 important cities in B&RCTN. These important cities are mainly distributed in the east and west of Eurasia. Eastern cities are located in East Asia and Southeast Asia, including 36 cities such as Singapore, Shanghai, Guangzhou, Shenzhen and Hong Kong. Western cities are concentrated in West Asia, Western Europe and North Africa along the Mediterranean coast, including 31 cities such as Istanbul, Dubai, Vienna, Trieste and Koper. There are few important cities in central Eurasia, except Almaty in Central Asia and Colombo in South Asia. In addition, important cities also include Moscow in Eastern Europe, Lagos and Lome in West Africa. Finally, based on the distribution of important cities, this paper puts forward some suggestions on the development of the Belt and Road comprehensive transportation

Research on Dynamic Takeout Delivery Vehicle Routing Problem under Time-Varying Subdivision Road Network

For the dynamic takeout delivery vehicle routing problem, which faces fluctuating order demand and time-varying speeds, this study presents a novel approach. We analyze the time distribution of takeout orders and apply a Receding Horizon Control (RHC) strategy to convert the dynamic challenge into a static one. The driving speed of delivery vehicles on different roads at different times is determined based on the subdivision criteria of the urban road network and a traffic congestion measurement method. We propose a dynamic takeout delivery vehicle routing optimization model and a time-varying subdivision road network is established to minimize the total delivery cost. We validated the model through simulation examples. The optimization results show that the total distribution cost is reduced after considering the time-varying subdivision road network, with the penalty cost decreasing by 39%. It is evident that considering the subdivision of the road network can enhance order delivery efficiency and optimize the overall dining experience. The sensitivity analysis of various parameters reveals that the delivery platform must appropriately determine the time domain and allocate the number of delivery personnel based on order scale to avoid escalating delivery costs. These findings provide theoretical guidance for vehicle routing planning in the context of delivery platforms

Morphological Characterization of Metamorphosis in Stamens of <i>Anemone barbulata</i> Turcz. (Ranunculaceae)

The morphological characteristics of metamorphosis in stamens of Anemone barbulata Turcz. were investigated using morphological and histological analyses. The results showed that stamens were transformed into either white sepaloid organs or more frequently green leaflike structures with successive variations. The extreme metamorphic stamen was represented as a three-lobed leaflike structure with a long stalk, highly consistent with the morphological characters of the normal leaves of the plant. It was hypothesized that the connective and two pollen sacs of the anther were transformed into the three lobes of the metamorphosed stamen, respectively. The depression and circinate stages were identified as the important and necessary processes in the transformation of stamens from axial to foliar organs, suggesting probably the alternative evolutionary process of the formation of anthers derived from foliar organs. The morphological traces of leaf, sepal, and carpel observed in the metamorphosed stamens suggested the homeotic transformations among these organs. The foliar stage in the ancestral stamens of angiosperms was reflected ontogenically in the metamorphosed stamens of A. barbulata. Our findings of a series of metamorphic stamens probably represent the morphological evidence to support the hypothesis that the flowers of angiosperms were derived from metamorphic leaves with the progressive development mode in the evolution of floral organs

Impact of interaction style and degree on the evolution of cooperation on Barabási–Albert scale-free network - Fig 8

<p><b>Average payoff</b><i>U</i>(<i>k</i>) <b>of a player of degree</b><i>k</i><b>in the stationary regime of evolutionary dynamics under (a)</b><i>W</i> = 4, <i>b</i> = 1.01, <b>(b)</b> <i>W</i> = 6, <i>b</i> = 1.2 <b>and (c)</b> <i>W</i> = 8, <i>b</i> = 1.3. Cooperator is denoted by C with black and defector by D with red.</p

Density of cooperators <i>P</i>_<i>C</i> on scale-free networks as a function of defection temptation <i>b</i> for different upper-bounds <i>W</i> under a standard PDG parameter combination <i>R</i> = 1, <i>P</i> = 0, <i>S</i> = −0.1,2.1 > <i>b</i> > 1.

<p>Population size is set as <i>N</i> = 1000. <i>R</i> and <i>H</i> correspond to random interaction and high-degree interaction, respectively. The result on corresponding regular ring-<i>W</i> networks is denoted by the dotted line with the same color.</p

Interaction relations among all cooperators in the stationary regime of evolutionary dynamics under upper-bound <i>W</i> = 4.

<p>Defect temptation is set to <i>b</i> = 1.01.</p