filter

Summary

filter ranks in the top 2% of general entities by monthly Wikipedia readership (93 views/month).^[1]

Key Facts

• filter's subclass of is recorded as downward directed set^[2].
• filter's subclass of is recorded as upper set^[3].
• filter's part of is recorded as preordered set^[4].
• filter's opposite of is recorded as ideal^[5].
• filter's Freebase ID is recorded as /m/04zr6^[6].
• filter's defining formula is recorded as \varnothing\ne \bigcup_{x\in F}\uparrow x=F\subset P\land(\forall x,y\in F\exists z\in F\colon x\ge z\le y)^[7].
• filter's studied by is recorded as lattice theory^[8].
• filter's studied by is recorded as order theory^[9].
• filter's MathWorld ID is recorded as Filter^[10].
• filter's nLab ID is recorded as filter^[11].
• filter's maintained by WikiProject is recorded as WikiProject Mathematics^[12].
• filter's Microsoft Academic ID is recorded as 25499304^[13].
• filter's ProofWiki ID is recorded as Definition:Filter^[14].
• filter's in defining formula is recorded as (P,\le)^[15].
• filter's in defining formula is recorded as \varnothing^[16].
• filter's in defining formula is recorded as F^[17].
• filter's in defining formula is recorded as \land^[18].
• filter's Encyclopedia of Mathematics article ID is recorded as Filter^[19].
• filter's PlanetMath ID is recorded as Filter^[20].

Why It Matters

filter ranks in the top 2% of general entities by monthly Wikipedia readership (93 views/month).^[1] filter has Wikipedia articles in 17 language editions, a strong signal of global cultural recognition.^[21] filter is known by 9 alternative names across languages and contexts.^[22]