{"component":{"type":17,"accent_color":10660273,"components":[{"type":10,"content":"-# WikiRNG · Roll of 10/22/2026 · by [corot](https://wikirng.com/u/corot)"},{"type":10,"content":"## [Hopf decomposition](https://wikirng.com/roll/fn4iRAYzzL)\n*Type of mathematical method*"},{"type":10,"content":">>> In mathematics, the Hopf decomposition, named after Eberhard Hopf, gives a canonical decomposition of a measure space (X, μ) with respect to an invertible non-singular transformation T:X→X, i.e. a transformation which with its inverse is measurable and…"},{"type":14,"divider":true,"spacing":1},{"type":10,"content":"### ⬜ Basic · 21,447 SP\n-# Bottom 22%"},{"type":10,"content":"*a null decomposition*"},{"type":14,"divider":true,"spacing":1},{"type":10,"content":"🟦 🧮 **Equation** · Obscure · +17,502 SP\n-# Has a math formula.\n🟩 🧱 **Walled Garden** · Notable · +1,147 SP\n-# No external links.\n⬜ 🩻 **Bare Bones** · Basic · +674 SP\n-# Wikidata item has 3 or fewer statements.\n⬜ 👉 **See Also** · Basic · +415 SP\n-# Has a See also section.\n⬜ 😇 **Clean Record** · Basic · +398 SP\n-# 20+ edits and none reverted.\n⬜ 🔈 **English Only** · Basic · +345 SP\n-# No other language has this article.\n-# +4 more badges"},{"type":14,"divider":true,"spacing":1},{"type":1,"components":[{"type":2,"style":5,"label":"View roll","url":"https://wikirng.com/roll/fn4iRAYzzL"},{"type":2,"style":5,"label":"Read on Wikipedia","url":"https://en.wikipedia.org/wiki/Hopf_decomposition"}]},{"type":10,"content":"-# Article text from Wikipedia, CC BY-SA 4.0"}]}}