iosr-Jm   Volume-17 ~ Issue-1 ~ Jan. – Feb. 2021

Abstract: The paper analyzes the representation of even number as a sum of two odd summands. To describe even numbers and their representations, arithmetic progressions of a special kind are used, which allow us to divide
(split) the set of even numbers into classes, in each of which the representation depends on a small number of generators. On this basis the proof of Goldbach's binary conjecture is given. The connection of this conjecture
with other problems of number theory is considered..

Keywords and phrases: number theory, prime numbers, Goldbach's binary conjecture. Classification code: 11A41 – Primes; 11D85 – Representation problems

[1]. Deshouillers J.–M., Riele H.J.J.te., Sauoter Y. New experimental results concerning the Goldbach conjecture. Amsterdam: Stichting math. centrum, 1998.
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[3]. Jutila M. On the least Golbach's number in an arithmetical progression with a prime difference. Turku, 1968.
[4]. Romanov V.N. Method for solving the Goldbach binary problem. IOSR Journal of Mathematics, V. 16, Issue 3 (Ser. II), 2020, pp. 13 – 18.
[5]. Romanov V.N. Study of fundamental problems of number theory. Saint-Petersburg, Publishing house "Asterion", 2015 (in Russian).

Abstract: Fundamental Analysis combines economic, industry and company analysis to obtain stock's fair value called underlying value. Technical Analysis is the observation of trading opportunities on the basis of market activity. In this work, we use two fundamental parameters, Earnings Per Share and Price-to-Earnings Ratio to identify profitable stock. Commodity Channel Index (CCI) and Double Exponential Moving Average (DEMA) are used to examine the buying and selling opportunities and to identify the trend strength. We try to develop Elliott wave formation through Commodity Channel Index and introduce the concept of combining the two strategies using a live example from the NSE.

Keywords and phrases: Elliott Wave theory, Commodity Channel Index, Double Exponential Moving Average

[1]. Vaghela V.&Gor, R. (2020) Market Direction by combining Elliott Wave Theory with Sentiment Indicator. Alochnachakra, Vol 9(6), 5794-5797.
[2]. Panchal M.&Gor, R. (2020) Numeric form of Technical Analysis based on Mean Reversion. Alochnachakra, Vol 9(6), 5789-5793.
[3]. Singh, A., &Gor, R. (2020) Relevancy of pricing European put option based on Gumbel distribution in actual market. Alochanachakra. Vol 9(6), 4339-4342.
[4]. Maitah, M., Prochazka, P., Cermak, M., &Šrédl, K. (2016). Commodity channel index: Evaluation of trading rule of agricultural commodities. International Journal of Economics and Financial Issues, 6(1), 176-178.
[5]. Naved, M., & Srivastava, P. (2015). Profitability of Oscillators used in Technical Analysis for Financial Market. Advances in Economics and Business Management (AEBM) Print ISSN, 2394-1545..

Abstract: The objective of this study was to evaluate the financial performance of renewable energy vehicle enterprises. First, we chose fourteen critical financial indicators reflecting profitability, growth capacity, operational capacity, and solvency from the financial statements of fifteen renewable energy vehicle companies in 2019. Next, we performed a factor analysis to construct a financial performance evaluation system using IBM SPSS Statistic 26. Finally, we analyzed the three extracted factors and the factors scores for each observation to study the companies' financial performance..

Keywords: Financial Performance; Factor Analysis; Evaluation System; Renewable Energy Vehicle Companies.

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