线性分组码的GRAND算法研究

随着5G通信技术的发展与应用,高可靠低时延通信场景下的短包信道编译码技术受到了广泛关注。GRAND是一种通用的最大似然译码算法,与传统译码算法不同,GRAND算法通过噪声猜测和码本查询来确定发送码字,具有高效的硬件实现结构。介绍了GRAND及其改进算法的基本原理,通过仿真分析了不同GRAND算法的误码率性能;针对5G NR的LDPC短码以及PAC短码给出了GRAND算法的设计方案,为未来移动通信的短码设计提供参考。

On Discrete Hopf Fibrations, Grand Unification Groups, the Barnes-Wall, Leech Lattices, and Quasicrystals

A discrete Hopf fibration of S15 over S8 with S7 (unit octonions) as fibers leads to a 16D Polytope P16 with 4320 vertices obtained from the convex hull of the 16D Barnes-Wall lattice Λ16. It is argued (conjectured) how a subsequent 2-1 mapping (projection) of P16 onto a 8D-hyperplane might furnish the 2160 vertices of the uniform 241 polytope in 8-dimensions, and such that one can capture the chain sequence of polytopes 241,231,221,211in D=8,7,6,5dimensions, leading, respectively, to the sequence of Coxeter groups E8,E7,E6,SO(10)which are putative GUT group candidates. An embedding of the E8⊕E8and E8⊕E8⊕E8lattice into the Barnes-Wall Λ16 and Leech Λ24 lattices, respectively, is explicitly shown. From the 16D lattice E8⊕E8one can generate two separate families of Elser-Sloane 4D quasicrystals (QC’s) with H4 (icosahedral) symmetry via the “cut-and-project” method from 8D to 4D in each separate E8 lattice. Therefore, one obtains in this fashion the Cartesian product of two Elser-Sloane QC’s Q×Qspanning an 8D space. Similarly, from the 24D lattice E8⊕E8⊕E8one can generate the Cartesian product of three Elser-Sloane 4D quasicrystals (QC’s) Q×Q×Qwith H4 symmetry and spanning a 12D space.

The Millennia-Old Canal Takes on a New Look Nihao!China——2024 China's Grand Canal Tourism Overseas Promotion Season

On the occasion of the 10th anniversary of the Grand Canal's application for the World Heritage status in 2024,with the strong support of the Department of International Cooperation of the National Radio and Television Administration and the International Tourism Alliance of Silk Road Cities.

Prosperity·The Grand Canal Beijing Unveils New Cultural Landmarks The Grand Canal Museum of Bejing

As a leading project of Beijing's visionary endeavor to construct a"City of Museums"and establish the Grand Canal Cultural Belt,the Grand Canal Museum of Beijing also an emblematic item fostering coordinated development between Beijing,Tianjin,and Hebei Province.It is an intelligent comprehensive museum that integrates the functions of exhibition,social education,cultural protection and conservation,collection and storage.

Bringing New Life to the Ancient Grand Canal Celebrating the Tenth Anniversary of the Grand Canal'S Inscription on the World Heritage List

A Grand Canal,spanning ancient and modern times,traversing north and south,flows endlessly.The Grand Canal,stretching nearly 3,200 kilometers and with a history of over 2,500 years,is the world's largest,longest,and oldest canal.On June 22,2014,the Grand Canal was officially inscribed on the World Heritage List by the World Heritage Committee at its 38th session.

Writing the Silenced Female Body, Scrutinizing the Grand Narrative of Colonization and Decolonization: The Body in Zoë Wicomb’s David’s Story

David’s Story by Zoë Wicomb addresses the complexities of representing female suffering and the limitations of traditional historical narratives in capturing the experiences of marginalized bodies.It challenges the grand narratives of national history by emphasizing the indispensable role of women’s experiences.Through characters like Dulcie and Rachael,Wicomb portrays the female body as a site of resistance and resilience,highlighting the need for more nuanced and inclusive ways of documenting history.Underscoring the inexpressibility of trauma and the limitations of language and representation,the novel self-reflexively acknowledges its own aporia of completing the narrative,embodying the ongoing struggle to capture the full breadth of human experience.

My Grandpa

My grandpa is an elderly man in his seventies.He used to have black hair and now it's turning gray.He is tall and fat so he looks strong.My grandfather has 6 children.They are all kind to him and want him to have a happy life.They ask my grandpa to live with one of them,but he refuses them.He doesn't want to bother them,and he wants to live alone,either?

Africa’s Grand Walk to Greatest Tomorrow

The book initiates by portraying Africa,introducing its physical features and endowments,and providing a concise historical perspective that highlights Africa as the initial home of the human species.Subsequently,the book explores another epoch in Africa’s self-consciousness,focusing on the Pan-Africanism in the middle of the 20th century-the time when Africa had been greatly subjected to imperialism and colonialism,which plunged it into great destitution.

刚果(布)Grande铜矿床地质特征及成矿模式

刚果(布)Boko Songho矿区Grande铜矿床浅层发育岩溶型氧化矿体,深部发育原生矿体。通过对比分析2类矿体的空间关系及成矿特征的异同性,认为二者的成矿物质具同根同源特征,属于相同成矿作用下在不同层位中就位的上、下2层矿体。长期风化剥蚀使接近地表的上层矿体发生氧化和次生迁移富集形成岩溶型氧化矿体,并因此建立了成矿模式,可为寻找深部原生矿体提供指导。

美国新墨西哥洛斯阿拉莫斯Cerro Grande火灾后的紧急溃坝分析

2005年5月发生的Cerro Grande火灾严重损毁了美国新墨西哥洛斯阿拉莫斯上游的几个森林覆盖流域和洛斯阿拉莫斯国家实验室。火灾彻底改变了这些流域的降雨和径流关系,径流量幅值远大于火灾前的概率增大。径流量大幅加大增加了几座公路堤坝和该地区一座大坝发生灾难性溃决失事的可能性。火灾过后,成立了一个跨组织的受灾区域应急抢险小组来评估火灾造成的损失并制定和执行修复计划,以将对生命、财产和自然资源造成的损失降至最低。美国垦务局技术服务中心协助该火灾应急抢险小组进行了溃坝分析和潜在大坝或路堤溃决后风险应对方案的评估。方案评估用时非常短,因为7月1日标志着该地区传统雨季的开始。

Study of thermal decoherence of harmonic oscillators

The thermal decoherence of harmonic oscillators is investigated here.The quantum system presented here is a one-dimensional oscillator with angular frequency,which is surrounded by a thermal bath of environmental oscillators.There are various environmental oscillators with different angular frequency(below an ultraviolet cutoff).At the beginning,the quantum system is a pure state and the environmental oscillators are in thermodynamic equilibrium with temperature.After a period,the system-environment interactions inspire significant decoherence of the quantum state.Such decoherence is displayed by explicit calculations of the purity and von Neumann entropy of the quantum system.It is worth noting that the decoherence could be significant even in the weak coupling and low temperature case due to the large amount of environmental degrees of freedom.Since the decoherence process is inspired between the quantum system and an ordinary thermal environment here,the thermal decoherence result is quite general.

Rio Grande地堑地壳剪切波速度及径向各向异性

位于新墨西哥和科罗拉多南部的Rio Grande地堑是地球上活动大陆地堑之一，南北长1000多千米。Rio Grande地堑经受过多期活动，形成了多个次级断块。地球化学研究发现玄武岩源区由南部的岩石圈向北过渡到软流圈，表明地堑向北迁移。为探讨Rio Grande地堑的形成及演化机制，开展了多种地球物理研究。但以往研究都基于测线，台站稀疏，所得结果精度较低。USArray 密集台站的布设为了解该区精细的地壳结构提供了保证。我们利用USArray台网位于研究区宽频地震台站记录的三分量连续地震噪声数据，获得了Rayleigh和Love波周期为8～35 s的二维相速度。通过联合反演Rayleigh和Love波相速度获取地壳3D剪切波速度及径向各向异性结构，为研究Rio Grande地堑深部地球动力学演化提供地震约束。

Adsorption of Benzene and Propylene in Zeolite ZSM-5:Grand Canonical Monte Carlo Simulations

The adsorption behavior of benzene and propylene in zeolite ZSM-5 was studied by Grand Canonical Monte Carlo（GCMC） simulations. It could be found that benzene and propylene molecules showed different adsorption behavior in the zeolite cavities. The loadings of propylene were significantly larger than those of benzene at 100 kPa. From the figures of potential energy distribution, the potential energy of benzene/zeolite was more negative than that of propylene/zeolite, so benzene could be adsorbed more stably than propylene. When the temperature was in- creased from 298 to 443 K at 100 kPa, the loading ofpropylene was reduced from 99 to 82 molecules, whereas that of benzene changed little. When benzene and propylene were adsorbed in zeolite simultaneously, the competitive adsorption of them occurred; therefore, the potential energy distribution could be changed significantly. Besides, the adsorption isotherms of benzene and propylene in ZSM-5 at 298 and 443 K were simulated. The results exhibit that the different factors influenced the molecular adsorption at various temperatures and pressures, leading to the diffe- rent rules for the adsorption of benzene and propylene molecules in the zeolite. At a low pressure, the unfavorable energy of propylene/zeolite and the ＂commensurate freezing＂ phenomenon of benzene would make the loadings of itself higher than those of propylene. When pressure was higher than 5 kPa, the adsorption of benzene in ZSM-5 would nearly reach saturation.

Evaluation of tourism climate comfort in the Grand Shangri-La region

The Grand Shangri-La(GSL) region has strong international tourist appeal. GSL has considerable international eco-tourist potential as well as being attractive for leisure, vacation, health, explorative, and scientific research activities in addition to high-end tourism experiences. These factors could promote the development of its regional tourism. GSL has been identified as a key area for tourism development in China. In this study, we investigated tourism climate conditions in GSL from 1980 to 2016 using a tourism climate index(TCI). We found that through global warming, the number of annual and monthly good-weather days, as assessed with the TCI, showed an increase over most of GSL;that trend was especially true for very good, excellent, and ideal days. The optimal travel period was May–October. We obtained the same result using cluster heat maps, in which we categorized 31 studied meteorological stations into eight types. However, heavy rainfall tended to occur during that optimal period, and it was concentrated at certain times. The annual total number of comfortable days greater than 300 was mainly located in southern GSL. We observed significant correlations between monthly and annual excellent and ideal days with latitude and elevation;in particular, we identified a significant nonlinear correlation between excellent(and ideal) days and elevation.

Diffusion and Adsorption of Benzene and Propylene in MFI,MWW and BEA Zeolites:Molecular Dynamics and Grand Canonical Monte Carlo Simulations

The diffusion and adsorption behaviors of benzene and propylene in zeolites MFI, MWW and BEA have been studied by molecular dynamics（MD） and grand canonical Monte Carlo（GCMC） simulations. The diffusion coefficients of benzene and propylene in MFI, MWW and BEA zeolites were calculated by simulating the mean-square displacements（MSD） at 298 and 600 K. Benzene and propylene showed the different adsorption rules in the channels of the three zeolites. For propylene, the molecular loadings decreased in the order： BEA（linear channel）〉BEA （tortuous channel）〉MFI（linear channel）〉MWW（12-membered rings, 12MR channel）〉MFI（tortuous channel）〉MWW （10-membered rings, 10MR channel）; for benzene, the molecular loadings decreased in the order： BEA（linear chan-nel）〉BEA（tortuous channel）〉MWW（12MR channel）〉MFI（linear channel）〉MFI（tortuous channel）〉MWW（10MR channel）. Besides, the adsorption isotherms of benzene and propylene in the three zeolites at 298 and 443 K were simulated. The results show that the different factors influenced the molecular adsorption at various temperatures and pressures, leading to the different rules for the adsorption of benzene and propylene molecules in the zeolites. At a low pressure, the unfavorable energy would make the loadings of propylene lower than those of benzene. When pressure was higher than 0.25 kPa, the adsorption of benzene in MFI would nearly reach saturation.

Pollution characteristics of the recent sediments in the Hangzhou section of the Grand Canal,China

Spatial distribution of heavy metals, arsenic and organic matter in recent sediments in the Hangzhou section of the Grand Canal and their relationships were analyzed. The results showed that the concentrations of heavy metals and organic matters varied widely along the canal, and the average geological accumulation factors decreased in the following orders: organic carbon(2.6), zinc(2.1), cadmium(2.0), copper(1.5), lead(1.1), nitrogen(0.9), mercury (0.8), phosphorus(0.4), arsenic(0.2) and chromium(0). Content of heavy metals and organic carbon in the top 10 cm layer were lower than that of lower layers, except for mercury and organic carbon in the S9 section. Contents of organic carbon in the top 50 cm layer of the mud sediments are significantly higher than those underneath. In the bottom mud layer, there is a concentration peak of the pollutants. In the mud sediments of the canal, cadmium mainly occurred in the Fe and Mn oxide fraction, copper in the organic fraction, lead in the Fe and Mn oxide fraction, and zinc in the carbonate and the Fe and Mn oxide fraction.

Sorption and permeation of gaseous molecules in amorphous and crystalline PPX C membranes: molecular dynamics and grand canonical Monte Carlo simulation studies

Amorphous and crystalline poly （chloro-p-xytylene） （PPX C） membranes are constructed by using a novel com- putational technique, that is, a combined method of NVT＋NPT-molecular dynamics （MD） and gradually reducing the size （GRS） methods. The related free volumes are defined as homology clusters. Then the sorption and the permeation of gases in PPX C polymers are studied using grand canonical Monte Carlo （GCMC） and NVT-MD methods. The results show that the crystalline PPX C membranes provide smaller free volumes for absorbing or transferring gases relative to the amorphous PPX C area. The gas sorption in PPX C membranes mainly belongs to the physical one, and H bonds can appear obviously in the amorphous area. By cluster analyzing on the mean square displacement of gases, we find that gases walk along the x axis in the crystalline area and walk randomly in the amorphous area. The calculated permeability coefficients are close to the experimental data.

Artificial Intelligence Cracks a 50-Year-Old Grand Challenge in Biology

In late November 2020,DeepMind Technologies,the Londonbased,artificial intelligence(AI)-focused subsidiary of Google’s parent company,Alphabet,announced that its AlphaFold system had achieved"unparalleled levels of accuracy"in predicting the complex shape of proteins based solely on their genetic sequences[1].The feat meets a 50-year-old grand challenge in biology,the extraordinarily difficult problem of predicting how proteins fold.The advance is expected to have a significant impact on drug discovery and the burgeoning field of protein design,possibly even helping to tackle the coronavirus disease 2019(COVID-19)pandemic[2].

Are Uranus &Neptune Responsible for Solar Grand Minima and Solar Cycle Modulation?

Detailed solar Angular Momentum (AM) graphs produced from the Jet Propulsion Laboratory (JPL) DE405 ephemeris display cyclic perturbations that show a very strong correlation with prior solar activity slowdowns. These same AM perturbations also occur simultaneously with known solar path changes about the Solar System Barycentre (SSB). The AM perturbations can be measured and quantified allowing analysis of past solar cycle modulations along with the 11,500 year solar proxy records (14C & 10Be). The detailed AM information also displays a recurring wave of modulation that aligns very closely with the observed sunspot record since 1650. The AM perturbation and modulation is a direct product of the outer gas giants (Uranus & Neptune). This information gives the opportunity to predict future grand minima along with normal solar cycle strength with some confidence. A proposed mechanical link between solar activity and planetary influence via a discrepancy found in solar/planet AM along with current AM perturbations indicate solar cycle 24 & 25 will be heavily reduced in sunspot activity resembling a similar pattern to solar cycles 5 & 6 during the Dalton Minimum (1790-1830).

Distribution of heavy-metals in the Grand Canal(Hangzhou section)and its contributing factors

The Grand Canal (Hangzhou section), People's Republic of China, has been highly contaminated by heavy metals from both industrial and municipal sources since 1950s. This study investigated the distribution of heavy metals including As, Cr, Cd, Cu, Ni, Pb, and Zn. The results showed that these metals are largely accumulated in the top 0 3 meter layer of the river sediment.Despite the contamination, heavy metal concentrations in solution are increased in some locations only. The only exception is Zn whose concentrations are extremely high both in solution and in the top layer sediment. The top layer sediment appears to have reached almost its sorption capacity with respect to aqueous Zn. The extent of contamination is in the sequence of Zn>Cu>Pb>As>Cd. It is speculated that Cu distribution has been significantly affected by its binding to organic matter in the top layer sediment. Based on Pb distribution in both water and sediment, it is suggested that Pb transport in the canal is associated with colloids or particles suspended in water. The study showed that the top layer sediment in the Grand Canal serves as a sink to anthropogenic contaminants consisting of heavy metals as well as organic compounds.