# Supremum vs Lattice - What's the difference?

supremum | lattice |

## As nouns the difference between supremum and lattice

is that supremum is (mathematics) (of a subset ) the least element of the containing set that is greater or equal to all elements of the subset the supremum may or may not be a member of the subset while lattice is a flat panel constructed with widely-spaced crossed thin strips of wood or other material, commonly used as a garden trellis.

## As a verb lattice is

to make a lattice of.

# supremum

## English

(wikipedia supremum)

### Noun

(suprema)
• (mathematics) (of a subset ) the least element of the containing set that is greater or equal to all elements of the subset. The supremum may or may not be a member of the subset.
• #### Synonyms

* least upper bound

* infimum

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# lattice

## English

(wikipedia lattice)

### Noun

(en noun)
• A flat panel constructed with widely-spaced crossed thin strips of wood or other material, commonly used as a garden trellis.
• (heraldry) A bearing with vertical and horizontal bands.
• (crystallography) a regular spacing or arrangement of geometric points, often decorated with a motif.
• (order theory) A partially ordered set in which every pair of elements has a unique supremum and an infimum.
• (group theory) A discrete subgroup of Rn which spans the real vector space Rn.
• #### Synonyms

* latticework

#### Hyponyms

* (algebra) complete lattice * (algebra) distributive lattice

#### Hypernyms

* (algebra) partially ordered set

#### Derived terms

* Boolean lattice * complete lattice * crystal lattice * distributive lattice * lattice bridge * lattice girder * lattice energy * lattice plant * lattice point * lattice window * semilattice * space lattice

* grid

### Verb

(lattic)
• To make a lattice of.
• to lattice timbers
• To close, as an opening, with latticework; to furnish with a lattice.
• to lattice a window

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