Sentence examples for denotes an indicator from inspiring English sources

where denotes an indicator function, is the standard normal distribution function, and. is the partial maximum of a standard stationary Gaussian sequence with correlation.

Here and in the sequel, I denotes an indicator function and Φ is the distribution function of the standard normal random variable.

Let (a_{n}ll b_{n}) denote that there exists a constant (c>0) such that (a_{n}leq cb_{n}) for sufficiently large n, lnx means (ln(max x,mathrm{e}))), and I denotes an indicator function.

for all  x ∈ R, (5). with d k = 1 / k and D n = ∑ k = 1 n d k ; here and in the sequel, I denotes an indicator function, and Φ ( x ) is the standard normal distribution function.

Then lim n → ∞ 1 D n ∑ k = 1 n d k I S k σ k < x = Φ ( x ) a. s. for all x ∈ ℝ, (3). with d k = 1/k and D n = ∑ k = 1 n d k, where I denotes an indicator function, and Φ x) is the standard normal distribution function.

where μ A rij post = μ A rij likel − β rj ( t ) [ σ A rij likel ] 2, [ σ A rij post ] 2 = [ σ A rij likel ] 2, and I [ 0, + ∞ [ ( z ) denotes an indicator function which has value either 1 if z∈[0,+∞[ or 0 for the other case. In (18), the posterior distribution for negative [Ar] i j is forced to be zero.

Let (Phi(cdot)) and (phi(cdot)) denote the standard normal distribution function and its density function, respectively, and I denote an indicator function.

Let G ijt denote an indicator of whether minority student i who enrolled at UC campus j in Prop 209 regime t, t = PRE,POST, graduated.

Let y i denote an indicator function of whether camera sensor c i should be actuated, i.e., {y_{i}} = left{ begin{aligned} &1, text{if} {c_{i}} text{should be actuated}, &0, {text{otherwise}}.

We use ρ i,j to denote an indicator function of whether r j can be completely covered by f i. rho_{i,j} = left{ begin{array}{l} 1,,, A(r_{j} cap {f_{i}}) = A({r_{j}}), 0,,,{text{otherwise}}.

The square brackets in Eq. 6 denote an indicator function: when the condition within the brackets is satisfied then the value of the indicator function is 1; otherwise 0. The signal function f(x) is defined on the interval [0, L] where the length of the interval, L, is related to the number of signal values N: L = N − 1.