Tag Archives: Mathematics

Harmonics Proves a Tough Mathematics Problem. Should we name AI as a contributor or a Co-author in research works?

#ai #mathematics Erdős Problem #124OPEN This is open, and cannot be resolved with a finite computation. http://www.erdosproblems.com Paul Erdős proposed numerous open problems. Erdős Problem #124OPEN This is open, and cannot be resolved with a finite computation., http://www.erdosproblems.com Aristotle by Harmonic verified with Lean proved the above Erdos problem, known as problem number 124. HarmonicContinue reading “Harmonics Proves a Tough Mathematics Problem. Should we name AI as a contributor or a Co-author in research works?”

Integrate success/ life and differentiate Pains. In layman terms #calculus

Note: These are layman terms used to explain real life significance which are huge, so here making understand that simple an example. Somebody said to me that they can’t understand where math and calculus fit into their lives. Here is a brief introduction to help clarify some concepts. The following curves are drawn with chatGPTContinue reading “Integrate success/ life and differentiate Pains. In layman terms #calculus”

Research Automation with AI-ChatGPT? Perfect? Lets test! Maths and Physics..

Note: This does not mean thinking can be automated. Research thinking can’t be automated. So, how to do research with current AI, Lets take chatGPT, you can take Anthropic or likes, I prefer chatGPT always, I remember how much of a research time goes in coding and coding and research again. This too and froContinue reading “Research Automation with AI-ChatGPT? Perfect? Lets test! Maths and Physics..”

Can SageMaths and ChatGPT, do Advance Algebra, Topology, Analysis

Summary: Do we need to now write from scratch for more mathematical structures? Yes or No, lets explore here. Or classes for more new mathematical structures can be generated by AI? Some of the things I tried on SageMaths and ChatGPT. No need to install SageMaths. Try even new things. But how to run these,Continue reading “Can SageMaths and ChatGPT, do Advance Algebra, Topology, Analysis”

Advanced Maths with Sage, AI, GPT? How? Why?

Summary — Read codes on abstract structures, match them with books, and make new structures with the help of books alone. Train on Sage-like software. We need some structured information to automate abstract and applied math. Let’s focus on abstract math today. If we have pre-written structures of mathematical entities, their shapes, forms, and instantiations,Continue reading “Advanced Maths with Sage, AI, GPT? How? Why?”

Function Optimization using Genetic Algorithm and Particle Swarm Optimization-Results and Comparison

In this article some experiments and their results are discussed for minimization of Rastrigin function, a famous mathematical function used in Optimization Techniques evaluation. The experiments are performed on certain setup, parameters and system. This has been performed using Genetic Algorithm (GA) and Particle Swarm Optimization (PSO). The fitness function is the given function toContinue reading “Function Optimization using Genetic Algorithm and Particle Swarm Optimization-Results and Comparison”