Sentence examples for exists a unit from inspiring English sources

Hence, there exists a unit normal vector field (nu ) along (Sigma ) which is invariant under antipodal reflection.

For each vector z ∈ H{o}, there exists a unit vector z' ∈ X x,z such that x ⊥ I z'.

(R) is unit regular ring if for each (x in R,) there exists a unit element (u in R) such that (x = xux).

Theorem 3.7 H u, N contains directed triangles iff there exists a unit ε ∈ Z [ i ] such that ε 2 u 2 ∓ ε u ± 1 ≡ 0 ( mod N ).

From the second edge, there exists a unit ε ∈ Z [ i ] such that ( r − u ) ε = 1 and u ≡ ± ε u r ( mod N ).

In the second, there exists a unit ε ∈ Z [ i ] such that ( u − r ) ε = 1 and r ≡ ε u 2 ( mod N ), giving ε 2 u 2 − ε u + 1 ≡ 0 ( mod N ).

Now it exists: a central unit to which all unsolicited and potentially worrying letters to royals and 'protected politicians' are sent, read and evaluated, as well as examples of bizarre or threatening behaviour at 'iconic locations' such as Downing Street or the royal palaces.

This can be preferred if there already exists a central unit to gather the data collected by the different sinks.

Whenever a type of aircraft unit is required, it should be repaired immediately or there must exist a similar unit in stock to replace it.

The calculated crystal density was 1.243 g/cm3, supporting that one repeating unit of PON exists in a unit cell.

"We tell them that the foundation of the family is peace and tranquillity and if that doesn't exist, then the family doesn't exist as a unit".