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21CTO
21CTO
Feb 17, 2021 · Artificial Intelligence

How AI Is Uncovering New Ramanujan‑Style Formulas and Challenging Mathematics

An AI‑driven project called the Ramanujan Machine generates novel mathematical formulas—including continued‑fraction representations of constants like π, e, and the Catalan constant—sparking interest in automated conjecture making, while highlighting both the promise and limits of machine‑assisted mathematics.

Mathematical ConstantsRamanujancontinued fractions
0 likes · 7 min read
How AI Is Uncovering New Ramanujan‑Style Formulas and Challenging Mathematics
Programmer DD
Programmer DD
Nov 10, 2019 · Fundamentals

Why Do Plants Follow the Golden Ratio? Unveiling the Math Behind Sunflower Spirals

This article explains how the golden ratio emerges in plant phyllotaxis, compares different angular ratios and their visual patterns, introduces continued fractions as a rigorous way to evaluate rational approximations, and links the mathematical findings to auxin‑driven growth mechanisms in plants.

Fibonaccicontinued fractionsgolden ratio
0 likes · 17 min read
Why Do Plants Follow the Golden Ratio? Unveiling the Math Behind Sunflower Spirals