Sentence examples for using the limits specified from inspiring English sources

Then, P d(n)=I E(X n (r)), where the expectation is understood to be with respect to the distribution of r under H 1. Then, it follows, using the limits specified above, together with the fact that convergence of sets is equivalent to pointwise convergence of indicator set functions [26], lim n → 0 X n ( r ) = I I W ( r ) > β Pfa − 1 / α − 1 ∥ u ∥ 2, which is an integrable random variable.

Write out the sum of the Laplace transforms of each part of the discontinuous function, using the limits specified, rather than the usual 0 to ∞. Write out the sum of the Laplace transforms of each part of the discontinuous function, using the limits specified, rather than the usual 0 to ∞. Calculate the Laplace transforms as shown above.

We will accept individual contributions within the limits specified by the statute of $5,000.

Rather, the concerns were that the vibrations could injure equipment or passengers, exceeding the limits specified in design documents.

In general the pressures were within the limits specified by the manufacturers.

Unless otherwise specified, all simulations were run using the default parameters specified in Table S2.

– Truncated normal regression (carried out using mi impute truncreg), with the lower and upper limits specified as the same limits used for the post-imputation rounding method.

Test results were compared with the upper fatigue limits specified by codes and standards.

Use the amount specified in your recipe.

DFA models were built using the same data, but specifying different numbers of discriminatory features (limiting to four to avoid over-fitting).

To control for this, we limited our analysis to respondents who performed an operations-based exercise using the designated exercise scenario, on the specified day.