When the alphabet Σ used to discretize the data has many symbols, we can either restrict the errors allowed in the approximate patterns to a neighborhood around the symbol, or to consider alphabet range weighted errors.
The application of multiscale basis functions can capture the fine scale medium property variations, and allows us to greatly reduce the degrees of freedom that are required to implement the modeling compared with conventional finite-element method for wave equation, while restricting the error to low values.
Restricting the error rate to a reasonable range, α < 0.5, removes this ambiguity.
By restricting the errors to the 1-neighborhood of the symbols in the alphabet Σ = { D, N, U}, our goal is to avoid the impact of a poor choice of the discretization thresholds in the ability of the algorithm to find all genes with coherent expression patterns.
To restrict the estimation error (i.e., p ^ − p ) within ±0.05 (i.e., the error tolerance limit is 5%) under the 95% probability (i.e., P − 0.05 < p ^ − p < + 0.05 = 0.95 ), we select approximately 384 samples to represent the total population.
To remain the stability of the system and control the tracking error in case of time-varying of missile parameters, a frequency domain robust stability control is designed, so that speed test feedback of engine swing angle and gain feedback of normal sensor are used to ensure the control stability and restrict the tracking error within a designed value.
To restrict the estimation error (i.e., p ^ − p ) within ± ϵ, the size of the sample reference points is given as Equation 5. n = p 1 − p Z a / 2 2 ϵ 2 (5).
While teachpacks and libraries can be used at all levels, they should ideally restrict the vocabulary in error message to the lowest level language in which they are to be used.
It is essential to control or restrict the Type II error rate, and one should thus not be satisfied with a test that limits the significance level beneath the nominal value.
