Sentence examples for error can be expressed from inspiring English sources

The error can be expressed as the following equation.

In [8], it is shown that the probability of decision error can be expressed as follows: (7).

The output phase error can be expressed as e θ = f ρ ″ ( x i ) ε x ( ε x - d n ) 2 (15).

The accumulated attitude error can be expressed as a single rotation: begin{aligned} varvec{u}^{mathrm {E}} = (-tilde{varvec{u}}_n) *{varvec{u}}_n^{mathrm {GT}}.

Now the mean squares error can be expressed in terms of (P t)) as follows Jbigl(K t bigr) = operatorname{Tr}bigl[ P t) bigr].

It is also shown that the commutation error can be expressed in terms of the filtered field and its derivatives as an asymptotic series in the square of the filter width.

Assuming that in the MB SW model, the covariance of the summed detection and synchronization errors can be expressed in a simple manner as (29e).

Inserting and in (27), after some calculation, the difference between Doppler spread in the system with and without estimation errors can be expressed as (28).

Then, the relation between the entropy and the mean square errors can be expressed as σ x σ p = 1 2 π exp S ( σ x ) + S ( σ p ) - 1 - 2 Δ, = ℏ 2 exp S ( σ x ) + S ( σ p ). Open image in new window Open image in new window Figure 5 Entropies of radial distribution of beam.

In particular, the normalized throughput considering reporting errors can be expressed as follows: N T = ∑ k 0 = 1 M ∑ l 0 = 1 C M k 0 ∏ j 1 ∈ Ψ k 0 l 0 P j 1 ℋ 0 ∏ j 2 ∈ S ∖ Ψ k 0 l 0 P j 2 ℋ 1 (31) Figure 4 Illustration of different sets in one combined scenario.

Thus machining error δ can be expressed as: delta approx sqrt{e^2+{rho}^2+2rho ekern0.5em sin kern0.5em varphi -rho } (3).