James McGuigan
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Mathematics
Abstract Algebra
Groups vs. Rings
Group Theory
00 - List of Proofs
01 - Uniqueness of the Identity Element
02- Uniqueness of the Inverse Element
03 - The Inverse of the Inverse is the Original Element
04 - The Inverse of a Product is the Reverse Product of Inverses
05 - Left and Right Inverses Are the Same
06 - Cancellation Laws
08 - Inverses Cancel to the Identity
09 - An Action as its Own Undoing: Identity and Inverse
10 - Undoing Actions by Counting Cycles
11 - Groups have Unique Solutions
M208 Pure Mathematics
Key Terms in Mathematical Proofs
Onto Surjective Functions
Complex Reciprocal Proof
Machine Learning and Quantum Computing
Cayley Tables and Abstract Algebra in Machine Learning (ML) and Quantum Computing (QC)
Equivariant Neural Networks (ENNs)
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M208 Pure Mathematics
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Mathematics
M208 Pure Mathematics
LLM exploration of Mathematics
Author
Title
ChatGPT 4.5
Groups vs. Rings
Abstract Algebra
ChatGPT 4o
00 - List of Proofs
ChatGPT 4o
01 - Uniqueness of the Identity Element
ChatGPT 4o
02- Uniqueness of the Inverse Element
ChatGPT 4o
03 - The Inverse of the Inverse is the Original Element
ChatGPT 4o
04 - The Inverse of a Product is the Reverse Product of Inverses
ChatGPT 4.5
05 - Left and Right Inverses Are the Same
ChatGPT 4.5
06 - Cancellation Laws
ChatGPT 4.5
07 - Identity Element is Idempotent
GPT 4.5
08 - Inverses Cancel to the Identity
GPT 4.5
09 - An Action as its Own Undoing: Identity and Inverse
GPT 4.5
10 - Undoing Actions by Counting Cycles
GPT 4.5
11 - Groups have Unique Solutions
Group Theory
Claude Sonnet 3.7
Key Terms in Mathematical Proofs
Claude Sonnet 3.7
Onto Surjective Functions
ChatGPT 4o
Complex Reciprocal Proof
M208 Pure Mathematics
ChatGPT 4.5
Equivariant Neural Networks (ENNs)
ChatGPT 4.5
Cayley Tables and Abstract Algebra in Machine Learning (ML) and Quantum Computing (QC)
Machine Learning and Quantum Computing
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