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Mathematics

Notes and writings on pure mathematics, applied mathematics, and mathematical reasoning.

status: Rough

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certainty: certain

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The confidence tag expresses how well-supported the content is, or how likely its overall ideas are right. This uses a scale from "impossible" to "certain", based on the Kesselman List of Estimative Words: 1. "certain" 2. "highly likely" 3. "likely" 4. "possible" 5. "unlikely" 6. "highly unlikely" 7. "remote" 8. "impossible" Even ideas that seem unlikely may be worth exploring if their potential impact is significant enough.

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importance: 8/10

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The importance rating distinguishes between trivial topics and those which might change your life. Using a scale from 0-10, content is ranked based on its potential impact on: - the reader - the intended audience - the world at large For example, topics about fundamental research or transformative technologies would rank 9-10, while personal reflections or minor experiments might rank 0-1.
2026A New Result in Persistent Homology Worth Paying Attention ToGrowing0
A New Result in Persistent Homology Worth Paying Attention ToGrowing2026.05.09

A preprint on stability theorems for multi-parameter persistence modules that could reshape how we think about topological data analysis.

mathematics · Mathematics, persistent-homology, tda, topology

2026.10.01 07:01:04 in Naperville, IL
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