No.

Titles / Authors /Abstracts

Full Text

No.

1

Extension of Comparative Analysis of Estimation Methods for Dirichlet Distribution Parameters

Halid M.A. and Akomolafe A.A.^*

Department of Statistics, Federal University of Technology, Akure, Nigeria

* akomolafeayotade@gmail.com

Abstract: The Dirichlet distribution is a generalization of the Beta distribution. This research deals with the estimation of scale parameter for Dirichlet distribution with known shapes. We examined three methods to estimate the parameters of Dirichlet distribution which are Maximum Likelihood Estimator, Method of Moment Estimator and Quasi- Likelihood Estimator. The performance of these methods were compared at different sample sizes using Bias, Mean Square Error, Mean Absolute Error and Variance criteria, an extensive simulation study was carried out on the basis of the selected criterion using statistical software packages as well as the application of the criterion to real life data, all these were done to obtain the most efficient method. The simulation study and analysis revealed that Quasi- Likelihood Estimator perform better in terms of bias while Method of Moment Estimator is better than the other two methods in terms of variance; the Maximum Likelihood Estimation was the best estimation method in terms of the Mean square Error and Mean Absolute Error; while Quasi- Likelihood Estimation method was the best estimation method with real life data.

[Halid M.A. and Akomolafe A.A. Extension of Comparative Analysis of Estimation Methods for Dirichlet Distribution Parameters. Academ Arena 2020;12(9):1-12]. ISSN 1553-992X (print); ISSN 2158-771X (online). http://www.sciencepub.net/academia. 1. doi:10.7537/marsaaj120920.01.

Keywords: Dirichlet Distribution, Parameter Estimation, Maximum Likelihood Estimator, Method of Moment Estimator and Quasi- Likelihood Estimator

Full Text

1

2

Study On Non Linear Equation For Boson Stars

*Dr. Rajeev Kumar and **Arvind Yadav

*Associate Professor, Department of Mathematics, OPJS University, Churu, Rajasthan (India)

**Research Scholar, Department of Mathematics, OPJS University, Churu, Rajasthan (India)

Email: arvinddahiya6@gmail.com

Abstract: Meanwhile the equation cannot be solved by arithmetic undoing and requires algebraic operations to be performed to simplify the equation to give a solution. This phenomenon is called ‘the didactic cut’. It relates to the observation that many students see the ‘equals’ sign as an operation, arising out of experience in arithmetic where an equation of the form is seen as a dynamic operation to perform the calculation, ‘three plus four makes 7’, so that an equation such as is seen as an operation which may possibly be solved by arithmetic ‘undoing’ rather than requiring algebraic manipulation (Kieran, 1981).

[Kumar, R. and Yadav, A. Study On Non Linear Equation For Boson Stars. Academ Arena 2020;12(9):13-15]. ISSN 1553-992X (print); ISSN 2158-771X (online). http://www.sciencepub.net/academia. 2. doi:10.7537/marsaaj120920.02.

Keywords: Linear And Non Linear, Boson Stars

Full Text

2

3

刘绍光一元数理论到柯召--魏时珍猜想 ----纪念刘绍光教授逝世30周年

平角

Recommended: 王德奎 (Wang Dekui), 绵阳日报社, 绵阳, 四川 621000, 中国, y-tx@163.com

Abstract: 摘要：像华为这样一家企业，已经很强大了，仍要把毛坯房买来，把毛坯房拆开，深度修改，实现新材料+新工艺紧密联动突破性创新。这里“毛坯房”，既是“科学只有第一，没有第二”----尊重专利；也有“科学有第一，也有第二”----尊重创新，尊重通力协作，建造人类命运共同体发展需要先进科学技术通天塔的探索----这不是抄袭，也不是作假，而是历尽时艰，把全部环节打通，团结一致接过巴比伦没有实现的理想……

[平角. 刘绍光一元数理论到柯召--魏时珍猜想 ----纪念刘绍光教授逝世30周年. Academ Arena 2020;12(9):16-47]. ISSN 1553-992X (print); ISSN 2158-771X (online). http://www.sciencepub.net/academia. 3. doi:10.7537/marsaaj120920.03.

Keywords: 关键词：毛坯房，一元数，点内空间，柯召--魏时珍猜想、郎兰兹纲领、通作、新冠病毒、黑洞战争

Full Text

3

4

对一道困扰力学界50多年习题的思考

李学生

（山东大学物理学院 山东济南 250100）

摘 要：首先证明了力的保守性具有伽利略变换的不变性，保守力不可能变换成显含时间的力；然后证明了圆周运动的向心力是保守力，推出了在地面系和小车系自然摆动的单摆在摆动过程中机械能都守恒的结论，验证了机械能守恒定律满足力学相对性原理，解决了力学界50多年的困惑，并对当前力学教材提出了几条修改建议。

[李学生. 对一道困扰力学界50多年习题的思考. Academ Arena 2020;12(9):48-54]. ISSN 1553-992X (print); ISSN 2158-771X (online). http://www.sciencepub.net/academia. 4. doi:10.7537/marsaaj120920.04.

关键词：单摆；动能；势能；保守力；机械能守恒

中图分类号：O 313。1    文献标识码：A                                   文章编号：

Reflections on the Exercise of Over 50 Years Troubling the Mechanics Circle

 Li Xuesheng

(School of Physics, Shandong University,Jinan, Shandong 250100)

Abstract: It is firstly proved that the conservativeness of force has the invariance of Galilean transformation. The conservative force can not be transformed into the force containing time; and then proved that the centripetal force of the circular motion is a conservative force. It is derived, in the ground and the car systems, the single pendulum of the natural swing in the swing process, its mechanical energy are conserved conclusions. It is proved that the law of conservation of mechanical energy satisfies the principle of relativity of mechanics, and solves the confusion of more than 50 years in the mechanics circle, and proposed a few changes to the current mechanics teaching materials.

Key words：the single pendulum；kinetic energy；potential energy；conservative force;conservation of mechanical energy

Full Text

4

5

“科研孤儿”咋整故事感言

平角

Recommended: 王德奎 (Wang Dekui), 绵阳日报社, 绵阳, 四川 621000, 中国, y-tx@163.com

Abstract 摘要： 2020年突如其来、同舟共济抗击新冠肺炎疫情，中国率先打响了一场疫情防控的人民战争、总体战、阻击战。但美国政客却大搞单边主义，霸权主义，从大打贸易战、制裁到脱钩、甩锅、“污名化”，分裂人类命运共同体。而川大的“科研孤儿”庞加莱猜想外定理，揭示空心圆球内外表面，翻转涉及点内、外时空通联，要害“不撕破”----暗含这类似新冠疫情大流行“联合国历史上最大的全球性挑战之一”中的开展国际合作，践行多边主义，团结互助，是全世界有效应对新冠疫情等全球危机的唯一途径。但“柯召--魏时珍猜想”要得到承认，需要在一个又一个类似于疫情考验上的真正扭转。这是中文世界科技进一步发展，最终整体超越英文世界科技才表现。

[平角. “科研孤儿”咋整故事感言. Academ Arena 2020;12(9):55-68]. ISSN 1553-992X (print); ISSN 2158-771X (online). http://www.sciencepub.net/academia. 5. doi:10.7537/marsaaj120920.05.

Keywords 关键词：科研孤儿、柯召--魏时珍猜想、新冠病毒、黑洞战争

Full Text

5

6

Review Of Literature Related To Measurement Of Factor Productivities And Substitution Possibilities In Manufacturing Industries Of State Haryana (India)

*Dr. Rohtash Kumar and ** Vikki

* Associate Professor, Department of Economics, OPJS University, Churu, Rajasthan (India)

**Research Scholar, Department of Economics, OPJS University, Churu, Rajasthan (India)

Email: yadavvikki39@gmail.com

Abstract: The studies reviewed above are only the important ones in the vast sea of literature on productivity. Going through the vast strands of literature it can be easily concluded that there is no unanimity over the methodology employed in various studies for measuring productivity and the studies more or less confined that the economic reforms did not have a substantial effect on productivity growth. The characterization of production technology in our study is associated with the Translog Cost Function. Our study presents a method for interpreting the growth of Total Factor Productivity, directly linking the productivity growth to key parameters of a specific translog cost function. It is shown that productivity growth can be decomposed into effects due to: (a) technical change, (b) scale economies and (c) capacity utilization.

[Kumar, R. and Vikki. Review Of Literature Related To Measurement Of Factor Productivities And Substitution Possibilities In Manufacturing Industries Of State Haryana (India). Academ Arena 2020;12(9):69-73]. ISSN 1553-992X (print); ISSN 2158-771X (online). http://www.sciencepub.net/academia. 6. doi:10.7537/marsaaj120920.06.

Keywords: Review of literature, Industries, Manufacturing, Haryana

Full Text

6

7

时间与虚拟生成转换用活的科学 ----时间是幻觉和会终结吗讨论

长江康

Recommended: 王德奎 (Wang Dekui), 绵阳日报社, 绵阳, 四川 621000, 中国, y-tx@163.com

Abstract 摘要：正如人们看不见、摸不着时间，但用钟表时针走动的圆周循环，也能类似记录、显现时间一样----这是时间与虚拟生成转换用活的科学最经典的一例。反过来看牛顿、爱因斯坦、薛定谔、惠勒、德威特、巴伯、罗韦列和莫脱等对时间的认识，也不一定是错；但时间作为虚拟生成，有真实存在的一面。这表现时间作为类似虚数，相对实数是客观存在的----即便虚拟生成中，作假干坏事行不通，但科学的认识，类似由实数到虚数慢慢认知一样，虚拟生成是把所有实在的部分包含在其中的。

[长江康. 时间与虚拟生成转换用活的科学 ----时间是幻觉和会终结吗讨论. Academ Arena 2020;12(9):74-85]. ISSN 1553-992X (print); ISSN 2158-771X (online). http://www.sciencepub.net/academia. 7. doi:10.7537/marsaaj120920.07.

Keywords 关键词：虚拟生成, 信息时代, 时间, 无症状感染, 虚数

Full Text

7

8

从齐文化看远古华夏族的政权及政权人物 ----评周光华先生的新著《远古的华夏族》

王德奎

绵阳日报社， 四川绵阳，621000, 中国, y-tx@163.com

Abstract摘要：和平与发展是时代的主题----小平同志的这一智慧是从哪里来的？应该说，从四川远古盆塞海山寨城邦文明和海洋文明，中国开创多元一体的国家模式起，到今天总部设在美国的联合国，都联系着这一永恒的主题。它揭示了远古华夏族开创全球多元一体国家模式实践的理想，也揭示了远古科技、经济、文化的交流与进步改变了战争的形式，其结果也改变了政权及政权人物现象的特征。周光华先生的《远古的华夏族》专著，谨慎而探索性地翻开了这一进程的第一页。

[王德奎. 从齐文化看远古华夏族的政权及政权人物 ----评周光华先生的新著《远古的华夏族》. Academ Arena 2020;12(9):86-92]. ISSN 1553-992X (print); ISSN 2158-771X (online). http://www.sciencepub.net/academia. 8. doi:10.7537/marsaaj120920.08.

Keywords关键词: 远古、华夏族、多元一体、山海经、政权现象、政权人物现象

Full Text

8