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The New Prime theorem（1）:

Chun-Xuan Jiang

P. O. Box 142-206, Beijing 100854, P. R. China

jcxxxx@163.com

Abstract: Using Jiang function we prove that there exist infinitely many primes  such that  is prime.

[Chun-Xuan Jiang. The New Prime theorem（1）. Researcher 2025;17(8):1-3]. ISSN 1553-9865 (print); ISSN 2163-8950 (online). http://www.sciencepub.net/researcher. 01. doi:10.7537/marsrsj170825.01

Keywords: New Prime theorem; infinitely; Mathematical mysteries; Goldbach conjecture

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Basics of France Monsoon Time Scale: A review and revisit

Gangadhar

H.No.5-30-4/1, Saibabanagar, Jeedimetla, Hyderabad, India-500055

Email:  gangadhar19582058@gmail.com

Abstract:  Monsoon means a periodic seasonal reversing winds patterns in atmospheric circulation accompanied by climate and weather changes according to the year-to-year changes of movement of the Earth on its axial tilt (obliquity) between approximately 22.1 and 24.5 degrees to its path and revolves around the Sun in accordance with the Milankovitch cycles. Therefore, not only the countries in the tropical and subtropical regions, but also those wind patterns blowing in the countries in the polar regions should be considered monsoons. I proposed and designed the Basics of Monsoon Time Scales for all global, regional, local monsoon systems along with every country of the world for unraveling the mysteries; studying the characteristics of dynamics mechanisms and exercising the benefits of mankind and development.  According to the researches and studies on the Monsoon Time Scales, it is come to know that there will be severe climate changes and natural calamities in the coming years "i.e"  heavy rains, floods and storms etc. will occur until about 2075 and there will be droughts and famines etc. until about 2150. Through the establishment of Monsoon Time Scales, we can know the future consequences of climate changes and natural calamities. Plans can be made accordingly. As a part of them, the France Monsoon Time Scale was proposed and designed by me in 1991 to study climate changes and natural calamities in advance. I call on world scientists to establish the France Monsoon Time Scale  following the Basics of Monsoon Time Scales outlined below, based on the India Monsoon Time Scale which is successfully proved out in practice and  break down the mysteries of the France  monsoon.

[Gangadhar. Basics of France Monsoon Time Scale: A review and revisit. Researcher 2025;17(8):4-72]. ISSN 1553-9865 (print); ISSN 2163-8950 (online). http://www.sciencepub.net/researcher. 02. doi:10.7537/marsrsj170825.02

Keywords:  Ecological Forecasting Time Scales (1965-70); A New Model of Cosmology (1970-80); Geoscope systems (1980-87); Global Monsoon Time Scales (1987-91); Astro-Climatic Nature Cyclic Pattern Periodic Tables (1991-2000); Designs of Geoscope systems (2000-2015); Designs of Global Monsoon Time Scales (2015-still)

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Creative Description Of The Development Of Teachers' Methodological Competence In The Professional Education System

Tuhtasinov Mukhammad Gulomjon ugli

Docent of Namangan Regional Pedagogical Skills Center, Namangan, Uzbekistan

Contact No. +998990699617

Abstract: Mastering knowledge of high-level academic interpretation can sometimes be a challenging task. The primary reason for this lies in the inadequately developed teaching methodology. Since the methodology has not been empirically formulated correctly, it fails to meet the demands of the times and cannot satisfy socio-educational needs. Naturally, periodic changes impose new requirements on the methodological competence of educators. Therefore, it is advisable to ensure that the process of developing teachers' methodological competence is creatively outlined within the professional development system. The article provides a creative description of the content involved in the development of teachers' methodological competence within the training system.

[Tuhtasinov Mukhammad Gulomjon ugli. Creative Description Of The Development Of Teachers' Methodological Competence In The Professional Education System. Researcher 2025;17(8):73-75]. ISSN 1553-9865 (print); ISSN 2163-8950 (online). http://www.sciencepub.net/researcher. 03. doi:10.7537/marsrsj170825.03

Key words: the system of professional development, educator; competence; methodological competence; development of methodological competence; creative profile of the development of teachers' methodological competence; creative profile of the development of teachers' methodological competence within the professional development system.

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DISPARITIES AMONG GOVERNMENT EMPLOYEES: A HUMANISTIC STUDY ON SOCIO-ECONOMIC PROVISIONS AVAILABLE TO CONTRACTUAL AND REGULAR EMPLOYEES IN DELHI’S GOVERNMENT & AUTONOMOUS BODIES

*VARUN NAUTIYAL and **DR. NANDNI GOUTAM

*Research Scholar, Department of Social Work, SunRise University, Alwar, Rajasthan (India); **Assistant Professor, Department of Social Work, SunRise University, Alwar, Rajasthan (India)

Email: sovarnautiyal@gmail.com

Varun Nautiyal, PhD Research Scholar, ORCID iD: 0009-0008-9315-3909, Department of Research, Sunrise University, GQ8J+GG, Bagar Rajput, Rajasthan 301028, India, Email – sovarnautiyal@gmail.com, 2. Dr. Nandni Goutam, Assistant Professor (Guide), Department of Research, Sunrise University, GQ8J+GG, Bagar Rajput, Rajasthan 301028, India, Email: nandniravi86@gmail.com

Abstract: Contractual employees or, contract workers, are hired, or “contracted,” for a specific project or timeframe for a set fee/remuneration on a weekly, bi-weekly or monthly basis or, when the project is completed. The year on year government surveys of the Central Public Sector Enterprises (CPSEs) reveals that the number of non-permanent workers is on the rise in state-owned companies. According to the Public Enterprises Survey 2021-22 by Department of Public Enterprises (DPE) under the Ministry of Finance, appx. 36% employees are working on contractual basis in various state-owned companies across India. While, the contribution of contractual employees has been significant in the operations of the public enterprises/departments, there lacks an equal treatment at par to the regular employees in terms of various financial provisions provided including salaries/wages. They are generally paid less and have lesser means of social security provisions. The purpose of study was to evaluate the existing scenario, challenges and socio-economic conditions of the contractual employees in Delhi’s government and autonomous bodies and highlight the essential corrective measures to be able to promote a more productive, stress-free and equitable work environment. The study was conducted in 18 government departments, ministries and other autonomous bodies in Delhi.

[VARUN NAUTIYAL and DR. NANDNI GOUTAM. DISPARITIES AMONG GOVERNMENT EMPLOYEES: A HUMANISTIC STUDY ON SOCIO-ECONOMIC PROVISIONS AVAILABLE TO CONTRACTUAL AND REGULAR EMPLOYEES IN DELHI’S GOVERNMENT & AUTONOMOUS BODIES. Researcher 2025;17(8):76-84]. ISSN 1553-9865 (print); ISSN 2163-8950 (online). http://www.sciencepub.net/researcher. 04. doi:10.7537/marsrsj170825.04

Key Words: Contractual Employees; Delhi Government; Study

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