Base Difficulty

Base difficulty: Level 1399 edit

Level distribution for noun (mathematical_concept): 276: 1 280: 1 329: 3 380: 4 1080: 15 1399: 19

Per-Language Difficulty Overrides

No difficulty overrides set. The base difficulty level will be used for all languages.

Add Difficulty Override
-1 to exclude, 1-1399 for level
Frequency and Tier Signals
Combined Frequency Rank: 8545 (weighted harmonic mean of corpus + tier signals; lower = more common)
Tier Signals
Source Tier Rank used
basic_english Extended (2 of 2) 1600

Rank used = synthetic rank this tier contributes to the combined frequency rank (lower = more common).

Corpus Frequency
Corpus Freq (per M) Best form Share Zipf rank Forms
19th_books 0.00 — — — 0
20th_books 0.00 — — — 0
wiki_math 6.22 2776 20% 8000 capped 1
wiki_geography 0.00 — — — 0
wiki_biology 0.00 — — — 0
wiki_modern_life 6.54 4222 20% 10000 capped 1
wiki_arts 0.00 — — — 0
wiki_society 0.00 — — — 0
wiki_linguistics 0.00 — — — 0
wiki_physical_science 64.36 416 20% 2080 downrated 1
wiki_history 0.00 — — — 0
early_modern_science 4.10 4464 20% 10400 capped 1
religious_translated 0.00 — — — 0
cooking 0.00 — — — 0
legal_scotus 0.00 — — — 0
eu_parliament_debates 3.33 4185 20% 11000 capped 1
openstax_science 47.02 594 20% 2970 downrated 1
openstax_society 0.00 — — — 0
wpa_life_histories 0.00 — — — 0

Best form = the single best-ranked form in the corpus, share-blind — how the spelling itself ranked. Share = how much of that spelling belongs to this lemma, when several senses compete for it. Zipf rank = all the forms combined (variant spellings included), each scaled by its share, and what feeds the combined frequency rank. Combining forms improves on the best form, but a share below 100% pushes the other way and usually wins: a sense holding a small slice of a common spelling is a rare word, so its rank lands downrated below the best form — and once it falls past what the corpus can support it is capped at the rank an unlisted word would get.