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Application of Tunnel Mathematics for Solving the Steady Lamé and Navier-Stokes Equations 隧道数学在求解稳定lam<s:1>方程和Navier-Stokes方程中的应用
O. G. Shvydkyi
The theory of functions of a complex variable is a hybrid of vector algebra and ordinary algebra. It makes it possible to work with vector quantities as with algebraic ones. The modern theory of functions of a complex variable was created by the French mathematician Augustin Cauchy (1789-1857), later it was rapidly developed and found its application in solving various problems of physics—in aerodynamics, hydrodynamics, elasticity theory, etc. However, this theory is used exclusively for solving problems on the plane. Therefore, the next natural step is to extend this theory into space, so that we could obtain the solution of physical problems directly in space. The creation of such a theory is associated with some serious problems, for example, the appearance of so-called zero divisors, spatial complex numbers that are not equal to zero but when multiplying for some reason give zero. There is also a Frobenius theorem which prohibits the propagation of complex numbers into a space without abandoning some ordinary algebraic operations (for example, commutative multiplication). In this article an attempt is made to construct a theory of spatial complex functions (shortly, tunnel mathematics) in which zero divisors do not appear and all the usual algebraic operations are preserved. The possibility of applying this theory to some problems of the theory of elasticity and hydrodynamics (the steady Lamé and Navier-Stokes equations) is also considered.
复变函数理论是向量代数与普通代数的混合。这使得我们可以像处理代数量一样处理矢量。现代复变函数理论是由法国数学家奥古斯丁·柯西(Augustin Cauchy, 1789-1857)创立的,后来得到了迅速发展,并在解决空气动力学、流体动力学、弹性理论等各种物理问题中得到了应用。然而,这个理论只用于解决飞机上的问题。因此,下一步自然是将这一理论扩展到空间,这样我们就可以直接在空间中获得物理问题的解。这种理论的建立与一些严重的问题有关,例如,所谓的零除数的出现,空间复数不等于零,但由于某种原因相乘时得到零。还有一个Frobenius定理,它禁止在不放弃一些普通代数运算(例如交换乘法)的情况下将复数传播到空间中。本文试图建立一个空间复函数的理论(简称隧道数学),其中零因子不出现,所有通常的代数运算都被保留。本文还考虑了将该理论应用于弹性理论和流体动力学的一些问题(稳定lam和Navier-Stokes方程)的可能性。
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引用次数: 0
Yield and Yield’s Components of Cowpea, Sorghum and Roselle Intercropped at Different Spatial Arrangements 不同空间布局下豇豆、高粱和蔷薇间作的产量及其构成因素
Abderhim A. Jabereldar, Afrah B. Elemam, Sallheldeen E. Ahmed, Ahmed M. El Naim
Intercropping, the cultivation of two or more crops at the same time in the same field, is a common practice in North Korodfan of Sudan in traditional farms of smallholders. This experiment conducted in rainy season (2019/2020) to investigate the effect of intercropping on yield and yield components of cowpea (Vigan unguiculta L), sorghum (Sorghum bicolor L. Moench) and roselle (Hibiscus sabdariffa var. sabdariffa L) intercropped at different spatial arrangements. The experiment consisted of nine treatments: three sole crop of Sorghum Cowpea, and Roselle and eight spatial arrangements of 1:1, 1:2, 2:1, and 2:2 rows of Cowpea with each of Sorghum or Roselle. A randomized complete block design (RCBD) with four replications was used. The results showed that intercropping treatments had significant (P ≤ 0.05) effect on most of the parameters measured on Sorghum, Cowpea and Roselle intercropping. For sorghum: the spatial arrangements 2:2 and 1:1 had the significant highest 100-seed weight (2.9 g) and final seed yield (0.34 ton/ha). For cowpea: the treatment 2:2 had the highest number of pods per plant, 100 seed weight, and shoot dry weight for cowpea. The intercropping 2C:1S had a highest cowpea seed yield (4.2 ton/ha) compared to others spatial arrangements. For roselle the intercropping 2C:2R (two rows of cowpea alternated with two rows of roselle) had the higher number of calyx per plant (19.7) and calyx yield (9.7 g/plant) than the other spatial arrangements. From this study, the practice of planting two rows of cowpea alternating with two rows of sorghum is recommended for farmers under rain-fed sector.
套作,即在同一块土地上同时种植两种或两种以上的作物,是苏丹北Korodfan小农传统农场的一种常见做法。本试验于2019/2020年雨季,研究了不同空间安排下间作对豇豆(Vigan unguiculta L)、高粱(sorghum bicolor L. Moench)和玫瑰(Hibiscus sabdariffa var. sabdariffa L)产量及产量构成的影响。试验共设高粱、豇豆和蔷薇3个单作处理,豇豆与高粱或蔷薇各作1:1、1:2、2:1和2:2行8个空间布置。采用随机完全区组设计(RCBD),共4个重复。结果表明,套作处理对高粱、豇豆和玫瑰套作的大部分指标影响显著(P≤0.05)。高粱的百粒重(2.9 g)和最终种子产量(0.34 t / hm2)以2:2和1:1的空间布置最高。豇豆:以2:2处理单株荚果数、百粒重和茎干重最高。与其他空间安排相比,间作2C:1S的豇豆产量最高(4.2吨/公顷)。对于玫瑰,2行豇豆与2行玫瑰交替种植2C:2R的单株花萼数(19.7个)和花萼产量(9.7 g/株)高于其他空间安排。通过本研究,建议雨养区农民采用两行豇豆和两行高粱交替种植的做法。
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引用次数: 0
Microstructure Evolution in Medium Carbon Bainitic Steel 中碳贝氏体钢的组织演变
J. Mohapatra, D. S. Kumar, G. Balachandran
A 0.38C steel with 1.97Mn, 1.34Si, 0.8Cr and 0.29Mo (wt. %) bainitic steel melted in a lab scale induction furnace was hot forged and subjected to annealing, austenitizing above Ac3 temperature and in the inter critical temperature range were normalized or austempered in the temperature between 350 to 500 oC to get a versatile range of microstructure with bainite as a major phase. In the annealed condition the steel showed acicular ferrite with pearlite and in the normalized condition from above Ac3 temperature, bainitic ferrite with 7% retained austenite. When the steel is continuously cooled post intercritical austenitization treatment, the microstructure showed ferrite, bainite and pearlite. Austenitization above Ac3, followed by austempering at different temperatures resulted in carbide free bainitic microstructure consisting of bainitic ferrite and austenite between 7 and 16%. Austenitization in the inter critical temperature followed by austempering at different temperatures showed ferrite, banitic carbide and pearlite.
将一种含1.97Mn, 1.34Si, 0.8Cr和0.29Mo (wt. %)的0.38C贝氏体钢在实验室规模感应炉中熔化后进行热锻和退火,在Ac3温度以上和临界温度范围内进行奥氏体化,在350 ~ 500℃之间进行正火或等温回火,得到以贝氏体为主要相的多种组织。在退火条件下,钢表现为针状铁素体和珠光体;在Ac3以上正火条件下,钢表现为贝氏体铁素体,残余奥氏体7%。临界间奥氏体化处理后连续冷却后,钢的组织表现为铁素体、贝氏体和珠光体。在Ac3以上进行奥氏体化,然后在不同温度下进行等温回火,形成由贝氏体铁素体和奥氏体组成的无碳化物贝氏体组织,含量在7% ~ 16%之间。在临界温度下奥氏体化,然后在不同温度下进行等温回火,表现为铁素体、碳化物和珠光体。
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引用次数: 0
Time Series Analysis — Analysis and Prediction of Monthly Mean Temperature in Baotou City 时间序列分析——包头市月平均气温的分析与预测
L. Gong
This paper analyzes the monthly average temperature of Baotou City from January 1, 1973, to December 31, 2022. The data comes from the R language worldmet dataset, with 600 data. Observing the time series chart shows the data have obvious periodicity and seasonality, and there is no trend. The order ARIMA(1,0,1) s determined by observing the ACF and PACF diagrams, but since there is a trend term of AR, a difference is added to get P=1, D =1, Q=1. By comparing the AIC, BIC and σ^2 values of ARIMA(1,0,1) and ARIMA(1,0,1) , the residual analysis diagrams are observed. The residual analysis diagrams are not very different, which reflects that the residual is white noise. The AIC, BIC and σ^2 values of the former are all smaller than those of the latter, so the time series model is determined as ARIMA(1,0,1) , and the expression is, . Where represents the predicted value at time point t, and represent the original observed value at time point t-1 and t-12, respectively, and and represent the residual term at time point t-1 and t-12, respectively. The model takes into account the seasonality and trend of meteorological data and can fit the data well and make future temperature predictions. After residual analysis and model selection, the prediction effect of this model is good, the error is small, and it can provide a certain reference value. However, there may be shortcomings such as seasonal effects on forecast accuracy, which raises the need to improve models and study more meteorological data features. In general, meteorological data prediction based on time series analysis is an important research field, and more in-depth research and exploration are needed in the future to improve the prediction accuracy and provide better support for decision-making in the field of meteorology and climate.
本文分析了包头市1973年1月1日至2022年12月31日的月平均气温。数据来自R语言worldmet数据集,包含600个数据。观察时间序列图,数据具有明显的周期性和季节性,不存在趋势。顺序ARIMA(1,0,1)是通过观察ACF和PACF图确定的,但由于存在AR的趋势项,因此添加一个差值以得到P=1, D =1, Q=1。通过比较ARIMA(1,0,1)和ARIMA(1,0,1)的AIC、BIC和σ^2值,得到残差分析图。残差分析图相差不大,反映残差为白噪声。前者的AIC、BIC和σ^2值均小于后者,因此确定时间序列模型为ARIMA(1,0,1),表达式为,。式中为时间点t的预测值,和分别为时间点t-1和t-12的原始观测值,和分别为时间点t-1和t-12的残差项。该模型考虑了气象资料的季节性和趋势,能很好地拟合气象资料,并能对未来气温进行预测。经过残差分析和模型选择,该模型预测效果好,误差小,可以提供一定的参考价值。然而,也可能存在诸如季节影响预报精度等缺点,这就提出了改进模式和研究更多气象数据特征的需要。总的来说,基于时间序列分析的气象数据预测是一个重要的研究领域,未来需要进行更深入的研究和探索,以提高预测精度,更好地为气象气候领域的决策提供支持。
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引用次数: 0
Binge-Eating: A Life-Threatening Eating Disorder 暴饮暴食:一种危及生命的饮食失调
Devajit Mohajan, H. Mohajan
This study deals with binge-eating (BE) that is a deeper negative psychological problem and a severe life-threatening eating disorder, which is characterized by eating large quantities of food within a short period of time; with a feeling of a loss of control during the eating. Binge-eating is seen common among both genders of obese people; and also common among students and irrespective of smokers and non-smokers. A person of binge-eating faces difficulties in working life, social life, and relationships. S/he often feels guilty, also disgusted and embarrassed after eating. Actually binge-eating ultimately damages well-beings of sufferers. Early detection and evidence-based treatment can recover the binge-eating patients.
暴饮暴食(BE)是一种更深层次的负面心理问题,是一种严重危及生命的饮食失调,其特征是在短时间内吃下大量食物;在进食过程中有一种失去控制的感觉。暴饮暴食在男女肥胖者中都很常见;在学生中也很常见,无论吸烟者还是不吸烟者。暴饮暴食的人在工作生活、社交生活和人际关系中都会遇到困难。吃完东西后,他经常感到内疚、恶心和尴尬。事实上,暴饮暴食最终会损害患者的健康。早期发现和循证治疗可以使暴饮暴食患者康复。
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引用次数: 0
Bulimia Nervosa: A Psychiatric Problem of Disorder 神经性贪食症:一种精神疾病
Devajit Mohajan, H. Mohajan
This study deals with bulimia nervosa (BN) that is a serious and potentially life-threatening eating disorder, which is characterized by binge-eating and extreme weight control policy. It is a distressing and disabling disorder followed by compensatory purging behaviors, such as self-induced vomiting, misuse of diuretics and laxative; and non-purging behaviors, such as excessive exercise, severe dieting, and long-time fasting. Physical, emotional, mental, sexual, and verbal abuse can also develop bulimia nervosa. BN patients frequently have a normal weight, but sometimes they may be underweighted or overweighed. Bulimia nervosa is frequently accompanied with the effects of normal physiologic functioning. The most common causes of morbidity and mortality among bulimia nervosa patients are electrolyte and metabolic disturbances. This study reviews the key features and associated problems of bulimia nervosa and its negative effects in global healthcare environment.
神经性贪食症(BN)是一种严重的、可能危及生命的饮食失调症,其特征是暴饮暴食和极端的体重控制政策。这是一种令人痛苦和致残的疾病,随之而来的是代偿性清除行为,如自我诱导呕吐,滥用利尿剂和泻药;以及非净化行为,如过度运动、严格节食和长期禁食。身体上、情感上、精神上、性上和言语上的虐待也会导致神经性贪食症。BN患者通常体重正常,但有时可能体重过轻或过重。神经性贪食症经常伴有正常生理功能的影响。神经性贪食症患者发病和死亡的最常见原因是电解质和代谢紊乱。本研究综述了神经性贪食症的主要特征和相关问题及其在全球卫生保健环境中的负面影响。
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引用次数: 0
Prime Numbers Among Fractional, Integer and Natural Numbers 分数、整数和自然数中的素数
P. Mazurkin, P. Mazurkin
Series of primes are considered in three levels of sets of numbers (N)(Z)(Q), where – series of prime numbers in the set of natural numbers (PN), – a series of integer primes in the set of integers (WPN), – a series of rational primes in the set of rational (fractional) numbers (FPN). In series and the abscissa is taken as a complete series of integers , and for a series of prime numbers the positive right side of the x-axis is taken as a series of natural numbers . It is proved that the FPN set contains four types in the quadrants of the Cartesian coordinate system, the WPN set includes two mirror-opposite lines (the left one in quadrants II and IV and the right one in quadrants I and III). Subtraction from the next term WPN and PN of the previous component of the series gives new series of increments. Converting from decimal to binary gives for the series WPN and PN, as well as their increments, the rational root 1/2 of the Riemann zeta function on the second vertical of the binary expansion. Such a transformation makes it possible to obtain the block structure WPN and PN of partitioning the original series into blocks, and then the groups starting from the number 2. Using the example of block No. 8168 for the series PN, we proved the decomposition of groups into separate quanta, starting from the number 2, by asymmetric wavelets in the form solitary waves (solitons) with variable amplitude and oscillation period with a maximum relative error of 0.1%.
素数序列在三个层次的数集(N)(Z)(Q)中被考虑,其中-自然数集(PN)中的素数序列,-整数集(WPN)中的整数素数序列,-有理数(分数)数集(FPN)中的有理数序列。在数列和横坐标上取整数的完整数列,对于素数数列,x轴的正右侧取自然数数列。证明了FPN集合在笛卡尔坐标系的象限中包含四种类型,WPN集合包括两条镜像相对的直线(左一在象限II和IV中,右一在象限I和III中)。从下一项WPN和序列的前一分量的PN中减去新的增量序列。从十进制到二进制的转换给出了级数WPN和PN,以及它们的增量,黎曼ζ函数在二进制展开的第二个垂直方向上的有理根1/2。这样的变换可以得到将原级数划分为块的块结构WPN和PN,然后得到从数字2开始的群。以编号为8168的块为例,我们证明了用可变振幅和振荡周期的孤波(孤子)形式的非对称小波,从2开始将群分解为单独的量子,最大相对误差为0.1%。
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引用次数: 0
Study on the Influence of Car Meeting on Disturbance Transfer Characteristics of Platoon-Driving 会车对车队行驶扰动传递特性的影响研究
Hongtao Tang, Xiang Zhang, N. Zhou
The overlapping grid method is a novel region segmentation and grid combination strategy. Based on this method, the aerodynamic characteristics of lineup vehicles in meeting conditions are simulated in this paper. Firstly, the data obtained from the single-vehicle simulation is compared with the wind tunnel test data, and the error value is relatively small, which verifies the validity of the overlapping grid method. After that, simulation was carried out to analyze the changes of flow field around the cars in formation, and the differences between the front and rear cars in formation were summarized. Finally, the vehicle pressure field, velocity field, aerodynamic coefficient and torque coefficient were statistically analyzed, and the influence of the car meeting on the aerodynamic characteristics of the queue was studied.
重叠网格法是一种新的区域分割和网格组合策略。基于该方法,对满足条件下的队列车辆气动特性进行了仿真。首先,将整车仿真数据与风洞试验数据进行对比,误差值较小,验证了重叠网格方法的有效性;在此基础上,通过仿真分析了车体编队周围流场的变化,总结了前后车体编队的差异。最后,对车辆压力场、速度场、气动系数和扭矩系数进行统计分析,研究车辆相遇对队列气动特性的影响。
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引用次数: 0
Design and Implementation of 4WD Intelligent Car System Based on Integrated Navigation 基于集成导航的四轮驱动智能汽车系统的设计与实现
Jie Tao, X. Wang, Jiazhen Si
Focuses on the basic principle of integrated navigation system based on geomagnetic sensor, three-axis gyroscope and three-axis accelerometer. A four-wheel independent driving car platform is designed with STM32F4 MCU as the control core and RZ7899 as the motor drive. The vehicle heading angle is obtained through the quaternion obtained by MPU6050, and combined with the geomagnetic parameters, the serial double PID control algorithm is used for navigation by correcting the deflection angle, the intelligent car can run in a straight line without other navigation systems within a certain range.
重点介绍了基于地磁传感器、三轴陀螺仪和三轴加速度计的组合导航系统的基本原理。设计了以STM32F4单片机为控制核心,RZ7899为电机驱动的四轮独立驱动汽车平台。通过MPU6050获取的四元数得到车辆航向角,并结合地磁参数,采用串列双PID控制算法通过修正偏转角进行导航,使智能汽车在一定范围内无需其他导航系统即可直线行驶。
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引用次数: 0
Exploring the Value of AI Technology in Optimizing and Implementing Supply Chain Data for Pharmaceutical Companies 探索人工智能技术在制药企业供应链数据优化和实施中的价值
Wu Guo
The adoption of artificial intelligence (AI) in the pharmaceutical industry has the potential to revolutionize supply chain management, enabling pharmaceutical companies to optimize their logistics and production processes while improving product quality and overall patient safety. This paper explores the value of AI technology in optimizing and implementing supply chain data for pharmaceutical companies. It reviews case studies from leading pharmaceutical companies such as Pfizer, Amgen, GlaxoSmithKline, Merck, and Roche, and examines how they are leveraging AI-powered solutions to optimize their logistics, production, and quality control processes. The paper finds that AI-powered solutions provide several benefits, including enhancing the accuracy, speed, and efficiency of supply chain management, reducing costs, and ensuring compliance with regulatory requirements. The authors advocate for increased investment in AI technology to fully realize the potential of these solutions in the pharmaceutical industry. The paper concludes that the adoption of AI in pharmaceutical supply chain management is critical for improving patient outcomes and ultimately driving the success of pharmaceutical companies in a rapidly evolving healthcare landscape.
人工智能(AI)在制药行业的应用有可能彻底改变供应链管理,使制药公司能够优化其物流和生产流程,同时提高产品质量和整体患者安全。本文探讨了人工智能技术在优化和实施制药公司供应链数据方面的价值。它回顾了辉瑞、安进、葛兰素史克、默克和罗氏等领先制药公司的案例研究,并研究了他们如何利用人工智能解决方案来优化其物流、生产和质量控制流程。本文发现,人工智能解决方案提供了几个好处,包括提高供应链管理的准确性、速度和效率,降低成本,并确保遵守监管要求。作者主张增加对人工智能技术的投资,以充分发挥这些解决方案在制药行业的潜力。本文的结论是,在药品供应链管理中采用人工智能对于改善患者的治疗效果至关重要,并最终推动制药公司在快速发展的医疗保健环境中取得成功。
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引用次数: 0
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Proceedings of The 6th International Conference on Innovation in Science and Technology
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