Sentence examples for mathematical expectation is from inspiring English sources

The mathematical expectation is denoted (mathbb {E}[cdot ]).

The mathematical expectation is denoted as (mathbb {E}{cdot }).

The corresponding mathematical expectation is: mathrm{Exp}left({p}_mright)=frac{n_m+3/2}{3+{sum}_{m=1}^3{n}_m} (10).

where the MSE matrix depends on,, and and the mathematical expectation is only taken with respect to noise and signal realizations.

An upper confidence bound for the spectral norm of a random innovation matrix A(k) ɛ Rn×m that consists of normally distributed random variables with zero mathematical expectation is found.

It is shown that under the protocol designed, all agents' states converge to a common Gaussian random variable, whose mathematical expectation is just the average of the initial states.

The related problems with different types of measures and mathematical expectations were investigated in [1].

Recall Schlesinger's (1994) tie-breaking principle: "In cases where the mathematical expectations are infinite, the criterion for choosing the outcome to bet on is its probability" (90).

Schlesinger (1994) offers this principle: "In cases where the mathematical expectations are infinite, the criterion for choosing the outcome to bet on is its probability" (90).

A quick review of the CAM follows: (5) where B is the coefficients matrix of observations, ε stands for the vector of observation noise, w is the misclousure vector, E stands for the mathematical expectation, Q is the co-factor matrix or variance-covariance matrix of the observations, c′ is the constant vector of the CAM, L is the observation vector and, finally, is an a priori variance factor.

where R s =E[s(t)s H (t)] is the L×L signal covariance matrix, I M is M×M identity matrix, ({sigma ^{2}_{n}}) is noise variance, E is mathematical expectation, and H is Hermitian transpose.