Journal of Intelligent Communication

Article

Empirical Study on the Influence of Different Mathematical Methods on Chat GPT (AI) Competence in Solving Quadratic Root Functions

Downloads

https://doi.org/10.54963/jic.v3i1.256
CHEW, P. C., Haydar Akca, Masanori Fukui, & Ng, K. T. (2025). Empirical Study on the Influence of Different Mathematical Methods on Chat GPT (AI) Competence in Solving Quadratic Root Functions. Journal of Intelligent Communication, 3(1), 51–72. https://doi.org/10.54963/jic.v3i1.256
Volume 3 Issue 1: March 2024
Copyright (c) 2025 Peter Chew, Haydar Akca, Masanori Fukui, Khar Thoe Ng
Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Copyright

The authors shall retain the copyright of their work but allow the Publisher to publish, copy, distribute, and convey the work.

License

Journal of Intelligent Communication (JIC)  publishes accepted manuscripts under Creative Commons Attribution 4.0 International (CC BY 4.0). Authors who submit their papers for publication by Journal of Intelligent Communication (JIC) agree to have the CC BY 4.0 license applied to their work, and that anyone is allowed to reuse the article or part of it free of charge for any purpose, including commercial use. As long as the author and original source is properly cited, anyone may copy, redistribute, reuse and transform the content.

Authors

Introduction:

This empirical study investigates the impact of two distinct mathematical problem-solving methods – the Algebraic Formula Method and the Newton Sum Method – on enhancing ChatGPT's competence in effectively solving quadratic root functions. The integration of Artificial Intelligence (AI) into mathematical problem-solving has paved the way for innovative approaches. In this study, we delve into the Algebraic Formula Method and the Newton Sum Method, essential techniques for solving quadratic root functions. We aim to showcase the profound influence of these methods on ChatGPT's capacity to excel in solving quadratic equations.

Evidence

Through concrete evidence, we demonstrate ChatGPT's adept utilization of the Newton Sum Method for quadratic root function calculations. While ChatGPT can compute quadratic root functions of the form    using this method, its proficiency in using algebraic formula methods typically extends only up to . This marked discrepancy underscores the pivotal role that different methods play in amplifying the AI system's mathematical capabilities

Result

The results of this study provide concrete evidence of ChatGPT's superior utilization of the Newton Sum Method for calculating quadratic root functions. The model adeptly computes expressions of the form   using this method, while its proficiency using algebraic formula methods is generally limited to . This striking discrepancy underscores the transformative impact that different methods can have on elevating the AI system's mathematical prowess.

Conclusion :

Pushing Boundaries: Pioneering Novel Maths Approaches for Overcoming Limitations in AI.  This study serves as an illuminating testament to the significance of pioneering innovative methodologies, rules, theorems, or formulas to surmount the current limitations in AI systems like ChatGPT. These innovative pursuits hold the key to unlocking the untapped potential that lies within, propelling AI systems to greater heights of proficiency. In essence, they offer a strategic pathway towards expanding the capabilities of AI and pushing the boundaries of what can be achieved.

Discussion

The outcomes derived from this study underscore the significant influence wielded by the method selection in augmenting the mathematical competencies of ChatGPT. Particularly noteworthy is the application of the Newton Sum Method, which surfaces as a compelling exemplar. This method serves as a pivotal conduit through which the model surpasses its prior constraints, allowing it to venture into the realm of calculations entailing higher exponents.

Implications and Future Research:

These findings not only contribute to AI's mathematical competencies but also emphasize the need for pioneering new methods, rules, theorems, or formulas to further enhance AI systems like ChatGPT. Future research could explore the development of novel mathematical techniques tailored to AI systems, thus expanding their capabilities across diverse problem-solving domains.

Author Biography

Peter Chew is Mathematician, Inventor and Biochemist from National University Of Malaysia (UKM). Global issue analyst , Reviewer for Europe Publisher, Engineering Mathematics Lecturer , Author for 100 titles Books (Amazon.com) and 9 preprint articles published in the World Health Organization (WHO) and President of Research and Development Secondary School (IND) for Kedah State Association [2015-18]. Peter Chew also is CEO PCET, Ventures, Malaysia, PCET is a long research associate of IMRF (International Multidisciplinary Research Foundation), Institute of higher Education & Research with its HQ at India and Academic Chapters all over the world, PCET also Conference Partner in CoSMEd2021 by SEAMEO RECSAM.

Peter Chew obtain the Certificate of appreciation from Malaysian Health Minister Datuk Seri Dr. Adam Baba(2021), PSB Singapore. National QC Convention STAR AWARD (2 STAR), IMRF Outstanding Analyst Award 2019 , IMFR Inventor Award 2020 , the Best Presentation Award at the 8th International Conference on Engineering Mathematics and Physics ICEMP 2019 in Ningbo, China and Excellent award (Silver) of the virtual International, Invention, Innovation & Design Competition 2020 (3iDC2020).

Peter Chew as 2nd Plenary Speaker the 6th International Multidisciplinary Research Conference with a Mindanao Zonal Assembly on January 14, 2023, at the Immaculate Conception University, Bajada Campus, Davao City.

Peter Chew as Keynote Speaker of the 8th International Conference on Computer Engineering and Mathematical Sciences (ICCEMS 2019) and the International Conference on Applications of Physics , Chemistry & Engineering Sciences, ICPCE 2020. Special Talk Speaker at the 2019 International Conference on Advances in Mathematics, Statistics and Computer Science, the 100th CONF of the IMRF,2019, Goa , India, , Peter Chew as Session Chair of the ICCEMS 2019 and Moderator of CoSMEd 2021.

Invited speaker of the ATCM 2019, Leshan China, iCon-MESSSH’20 , iCon-MESSSH’21 , iCRI-22 LearnT - SMArET with Enhancement of thinking, Technology and life Skill, SEAMEO RECSAM, and Facilitator in the Regional Workshop on Education 4.0: Issues, Challenges and Future Directions towards SEAMEO Priorities and Sustainable Development Goals (SDGs). Invited speaker of the LearnT-SMArET WITH INTEGRATION OF Thinking, Life Skills and Moral Values in line with Global Citizenship Education [GCED].

Peter Chew present Peter Chew rule in the ICMSCE 2019 and the ICOWOBAS 2019. Peter Chew present Peter Chew rule , Method , Theorem and PCET Calculator In COSMED 2019 . Peter Chew present Education 4.0 Calculator and App Raises Public Awareness of the Importance of COVID-19 Vaccination In the 4th ASEAN International conference on Education and Social Sciences.

Peter Chew have 8 publication(preprint) in world health Organization [WHO]
50 Publications in Europe PMC, 45 full text articles in Europe PMC , 62 Publication ORCID, 108 SCHOLARLY PAPERS at SSRN (The Social Science Research Network, an online repository for uploading preprint articles and working papers, has been recently acquired by publishing giant Elsevier) .

Future Knowledge article publication are Peter Chew Rule, Method, Theorem, formula , triangle Diagram and PCET Calculator ,Education 4.0 Calculator and Game Based Learning Peter Chew Triangle Diagram Rules. Note: Peter Chew Rule and Method publish at IMRF international book: Title What`s Now – What`s Next, Research Series . 2019.

Covid-19 article publication are Game Base Learning to Prevent Infection from COVID-19 share at WHO, Europe PMC) , some SSRN Medical Specialist e-journal and Preprint the Lancet. App Raises Public Awareness of the Importance of COVID-19 Vaccination, COVID-19 share at Europe PMC and some SSRN Medical Specialist e-journal. COVID-19 Vaccination Education App(1) share at Europe PMC and some SSRN Medical Specialist e-journal. Peter Chew Formula for calculate Covid-19 Vaccine efficiency publish at Research square, Science Gate and an invitation from the JERP as an invitation article(without APC). Asymptomatic covid-19 carriers education App (1) share at WHO , Europe PMC and Preprints.org.

Peter Chew as invited guest at 2019 International Conference on Advances in Mathematics, Statistics and Computer Science, India and International Conference on Mathematical, Engineering Application for sustainable Development 2019. University Malaya. Malaysia,.

Peter Chew Analytica’s views are published in Malaysian and international media. Peter Chew is an invited speaker for analytical perspectives at some seminars, same platform as ministerial speaker. Malaysian Health Minister (2021) Datuk Seri Dr. Adam Baba recommend Game Base Learning to Prevent Infection from COVID-19 s to Malaysian to prevent Covid-19 .

References

  1. Introducing ChatGPT. Available online: https://openai.com/blog/chatgpt (accessed on 30 November, 2022)
  2. OpenAI’s ChatGPT Update Brings Improved Accuracy. Available online: https://www.searchenginejournal.com/openai-chatgpt-update/476116/#close (accessed on 10 January, 2023)
  3. Knowledge is power: why the future is not just about the tech. Available online: https://www.weforum.org/agenda/2021/01/knowledge-is-power-why-the-future-is-not-just-about-the-tech/ (accessed on 20 01 2021)
  4. Knowledge Is Power, and Data Is the Backbone of Knowledge. Available online: https://design.ricoh.com/article/20230327.html (accessed on 25 Jan, 2021)
  5. Symmetric Functions of Roots of a Quadratic Equation. Math Only Math
  6. Learn math step-by-step. https://www.math-only-math.com/symmetric-functions-of-roots-of-a-quadratic-equation.html
  7. Newton's Identities. Available online: https://brilliant.org/wiki/newtons-identities/ (accessed on Jan 2025)
  8. François Vièta. Available online:
  9. https://en.wikipedia.org/wiki/Fran%C3%A7ois_Vi%C3%A8te (accessed on 3 January 2025 )
  10. Stefanowice, A.; Kyle, J.; Grove, M. (September, 2014). Proofs and Mathematical Reasoning. University of Birmingham.
  11. Mathematical proof . Available online: https://en.wikipedia.org/wiki/Mathematical_proof
  12. (accessed on 22 December 2024, )
  13. Chew, Peter, Pioneering Tomorrow's AI System through the Triangle Solution An Empirical Study of the Peter Chew Rule For Overcoming Limitation in GPT Chat. (August 30, 2023). Available at SSRN: https://ssrn.com/abstract=4556269 or http://dx.doi.org/10.2139/ssrn.4556269 .
  14. Chew, Peter, Overcoming Error In Chat GPT And Wolfram Alpha With Peter Chew Rule (August 2, 2023). Available at SSRN: https://ssrn.com/abstract=4529383 or http://dx.doi.org/10.2139/ssrn.4529383
  15. Chew, Peter, Education 4.0 Calculator Learning Method (December 20, 2022). Available at SSRN: https://ssrn.com/abstract=4307788 or http://dx.doi.org/10.2139/ssrn.4307788
  16. Chew, P. Peter Chew Rule for Solution of Triangle. J. Phys.: Conf. Ser. 2019, 1411, 012009.
  17. Chew, Peter, Application of Peter Chew Rule in Electrical Engineering (March 21, 2023). Available at SSRN: https://ssrn.com/abstract=4395188 or http://dx.doi.org/10.2139/ssrn.4395188
  18. Chew, Peter, Application of Peter Chew Rule In Aerospace Engineering (July 26, 2023). Available at SSRN: https://ssrn.com/abstract=4521400 or http://dx.doi.org/10.2139/ssrn.4521400
  19. Chew, Peter, Application of Peter Chew Method In Marine Engineering (March 22, 2024). Available at SSRN:
  20. https://ssrn.com/abstract=4769227 or http://dx.doi.org/10.2139/ssrn.4769227
  21. Chew, Peter, Application Of Peter Chew Rule In Astronomical Engineering (March 5, 2024). Available at SSRN:
  22. https://ssrn.com/abstract=4748488 or http://dx.doi.org/10.2139/ssrn.4748488
  23. Chew, Peter, Application of Peter Chew Rule In Pool Game (January 16, 2024). Available at SSRN:
  24. https://ssrn.com/abstract=4696303 or http://dx.doi.org/10.2139/ssrn.4696303
  25. Chew, Peter, Application of Peter Chew Rule In Criminology ( Bullet Trajectories Of Leaning Tower ) (February 8, 2024). Available at SSRN: https://ssrn.com/abstract=4721082 or http://dx.doi.org/10.2139/ssrn.4721082
  26. Chew, Peter, Pioneering Tomorrow's Super Power AI System With Peter Chew Theorem. Power Of Knowledge (October 28, 2023). Available at SSRN:
  27. https://ssrn.com/abstract=4615712 or http://dx.doi.org/10.2139/ssrn.4615712
  28. Chew, Peter, Application of Peter Chew Theorem in Civil Engineering (November 22, 2021). Available at SSRN:
  29. https://ssrn.com/abstract=3968741 or http://dx.doi.org/10.2139/ssrn.3968741
  30. Chew, Peter, Application of Peter Chew Theorem in Mechanical Engineering(Resultant Force) (January 6, 2023). Available at SSRN:
  31. https://ssrn.com/abstract=4318991 or http://dx.doi.org/10.2139/ssrn.4318991
  32. Chew, Peter, Application of Peter Chew Rule To Jib Crane (Mechanical Engineering) (March 21, 2023). Available at SSRN:
  33. https://ssrn.com/abstract=4395095 or http://dx.doi.org/10.2139/ssrn.4395095
  34. Chew, Peter, Application of Peter Chew Theorem for Quadratic Surds in Electrical Engineering (January 11, 2023). Available at SSRN:
  35. https://ssrn.com/abstract=4322273 or http://dx.doi.org/10.2139/ssrn.4322273
  36. Chew, P. Application of Peter Chew Theorem in Aerospace Engineering (August 8, 2023). Available at SSRN: https://ssrn.com/abstract=4535016 or http://dx.doi.org/10.2139/ssrn.4535016
  37. Chew, Peter, Application of Peter Chew Theorem in Marine Engineering (December 25, 2023). SSRN: https://ssrn.com/abstract=4675278 or http://dx.doi.org/10.2139/ssrn.4675278
  38. Chew, Peter, Application Of Peter Chew Theorem In Astronomical Engineering (March 17, 2024). Available at SSRN: https://ssrn.com/abstract=4762506 or http://dx.doi.org/10.2139/ssrn.4762506
  39. Chew, Peter, Application of Peter Chew Theorem in Pool Game (January 22, 2024). Available at SSRN: https://ssrn.com/abstract=4702458 or http://dx.doi.org/10.2139/ssrn.4702458
  40. Chew, Peter, Application of Peter Chew Theorem in Criminology (Bullet Trajectories Of Leaning Tower) (February 12, 2024). Available at SSRN: https://ssrn.com/abstract=4723258 or http://dx.doi.org/10.2139/ssrn.4723258