Published January 31, 2024 | Version v1
Journal article Open

Negative Multiply negative in counting format. Perfect Definition of Multiplication and Zero

Description

Is the definition of multiplication given by all accepted dictionaries of mathematics really accurate? Does it work in all types of instance .I think it's totally rotten when we multiply negative numbers. According to the mathematics of the vedic period, multiplication is somewhat different from modern mathematics. I found the real meaning of multiplication by doing deep research on brahmagupta's mathematics, vedic mathematics, rashi vigyan, jyotish and other ganit shastras. apart from this, we have also explained the correct definition of zero and its actual form which is mentioned in Indian Sanskrit texts. Through the real property and basic nature of zero, we have also given a new dimension to understanding the basics of negative and positive number's operation. the current definition of multiplication is not complete and has many errors as it does not apply to all types of examples such as negative*negative. Let's see how !

Abstract (English)

This research paper discusses the shortcomings of the currently prevalent definition of multiplication, and according to this paper, the definition of Multiplication is not complete and has many Errors as it does not apply to all types of examples such as negative×negative.Rather, the new definition given by us applies well to all examples and also defines the multiplication of negative numbers more efficiently than the current definition. The correctness of this new definition means that we should not write 2*2 as 2+2 but in the new format.

Although in this example both definitions are correct, in the example of negative numbers, only the new definition works. Therefore, whether it is positive or negative, the same definition and format should be used which is more perfect because in mathematics a definition will be considered complete only if it works in all types of examples

Notes (English)

Aim of the Paper

In conclusion, the newly proposed definition presented in this research paper not only effectively applies to various examples but also offers a more efficient elucidation of the multiplication of negative numbers compared to the prevailing definition. Moreover, this study concludes to a comprehensive understanding of the inherent properties of positive and negative numbers, shedding light on the true essence of zero within numerical systems. Through rigorous analysis and empirical evidence, this paper reaffirms the fundamental principles governing numerical operations, enriching our comprehension of mathematical concepts and their Actual Philosophy.

This study not only elucidates the proposed findings but also underscores their historical precedence, tracing back to the knowledge documented in ancient Indian texts. Through an examination of these ancient sources, we have unveiled a remarkable comparison between our contemporary understanding of zero, positive-negative numbers, and the insights gleaned from millennia-old Indian mathematical treatises. By bridging the gap between past wisdom and present scholarship, this research highlights the enduring relevance and timeless significance of mathematical principles, emphasizing the rich heritage that continues to inform and inspire modern scientific inquiry.

Technical info

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Dates

Available
2024-01-31
Published on Journal of Pure And Applied mathematics
Other
2024-03-31
Listen on Zenodo
Other
2022-01-24
Firstly appeared as Preprint in it's early version