Enter a word or phrase in any language 👆
Language:
Translation and analysis of words by ChatGPT artificial intelligence
On this page you can get a detailed analysis of a word or phrase, produced by the best artificial intelligence technology to date:
- how the word is used
- frequency of use
- it is used more often in oral or written speech
- word translation options
- usage examples (several phrases with translation)
- etymology
решёточный - translation to English
решёточный
adj.
lattice
lattice
lattice order
!['''Pic. 7:''' Non-lattice poset: <math>b</math> and <math>c</math> have common upper bounds <math>d, e,</math> and <math>f,</math> but none of them is the [[least upper bound]].](https://commons.wikimedia.org/wiki/Special:FilePath/NoLatticeDiagram.svg?width=200 "'''Pic. 7:''' Non-lattice poset: <math>b</math> and <math>c</math> have common upper bounds <math>d, e,</math> and <math>f,</math> but none of them is the [[least upper bound]].")
!['''Pic. 8:''' Non-lattice poset: <math>a</math> and <math>b</math> have common lower bounds <math>0, d, g, h,</math> and <math>i,</math> but none of them is the [[greatest lower bound]].](https://commons.wikimedia.org/wiki/Special:FilePath/Pow3nonlattice.svg?width=200 "'''Pic. 8:''' Non-lattice poset: <math>a</math> and <math>b</math> have common lower bounds <math>0, d, g, h,</math> and <math>i,</math> but none of them is the [[greatest lower bound]].")
!['''Pic. 1:''' Subsets of \{x, y, z\}, under [[set inclusion]]. The name "lattice" is suggested by the form of the [[Hasse diagram]] depicting it.](https://commons.wikimedia.org/wiki/Special:FilePath/Hasse diagram of powerset of 3.svg?width=200 "'''Pic. 1:''' Subsets of \{x, y, z\}, under [[set inclusion]]. The name \"lattice\" is suggested by the form of the [[Hasse diagram]] depicting it.")
![partition]]s of \{1, 2, 3, 4\}, ordered by "''refines''".](https://commons.wikimedia.org/wiki/Special:FilePath/Lattice of partitions of an order 4 set.svg?width=200 "partition]]s of \{1, 2, 3, 4\}, ordered by \"''refines''\".")
PARTIALLY ORDERED SET THAT ADMITS GREATEST LOWER AND LEAST UPPER BOUNDS
Lattice theory; Bounded lattice; Lattice (algebra); Lattice (order theory); Lattice homomorphism; Lattice Homomorphism; Lattice Automorphism; Lattice automorphism; Lattice Endomorphism; Lattice endomorphism; Lattice Isomorphism; Lattice isomorphism; Sublattice; Lattice order; Conditionally complete lattice; Complement (order theory); Jordan–Dedekind chain condition; Jordan-Dedekind chain condition; Jordan-Dedekind property; Jordan-Dedekind lattice; Jordan-dedekind property; Jordan-dedekind lattice; Jordan–Dedekind lattice; Partial lattice; Join-irreducible; Meet-irreducible; Join-prime; Meet-prime; Separating lattice homomorphism; Complementation (lattice theory); Complement (lattice theory)
математика
решеточный порядок
lattice retraction
математика
решеточная ретракция
Definition
решёточный
прил.
Соотносящийся по знач. с сущ.: решётка (1-3), связанный с ним.
Соотносящийся по знач. с сущ.: решётка (1-3), связанный с ним.
