Sentence examples for dimensions are defined as from inspiring English sources

(Mode matrices and dimensions are defined as follows: U1=Umixture, U2=Udim, I1=R, I2=D, K1=K R, and K2=K D.) The distribution of W s is assumed to be a matrix-variate normal, i.e., W s ∼ N ( 0 K R × K D, I K R ⊗ I K D ) where ⊗ denotes the Kronecker product, and independent of E s whose elements follow N ( 0, σ 2 ).

The Hutchinsonian niche is defined more technically as a "Euclidean hyperspace whose dimensions are defined as environmental variables and whose size is a function of the number of values that the environmental values may assume for which an organism has positive fitness".

Regular grids of arbitrary dimension are defined as well as mechanisms for defining physical domain sizes, grid staggering, and ghost cells on these grids.

These dimensions were defined as "Setting" (vertical axis, bounded by group and individual interactions) and "Status" (horizontal axis, bounded by physical and emotional domains).

Lung dimensions were defined as three side-lengths of the circumscribed parallelepiped of the lung regions in the left-right (LR), anterior-posterior (AP), and superior-inferior (SI) directions.

Adatoms aggregates of any dimension are defined as islands, macroscopic entities with volume-dependent shape and geometry: all the atomic motion inside an island is ignored assuming quick rearrangement processes to the mean equilibrium shape.

Levels of severity in each dimension are defined as no problems (one point), some problems (two points), and major problems (three points).

The Power Distance dimension is defined as the extent to which those without power in the organisation accept the unequal distribution of power.

Maximum deviation of two averages at any dimension is defined as given below.

The last dimension is defined as an "outcome dimension", as it concerns the political system's capacity to respond (responsiveness) to citizens' questions (Morlino 2011).

Precision of the dimension was defined as the range value of the dimension, considering that a narrow range was the more precise.