Sentence examples for imposing assumptions from inspiring English sources

This procedure allows the random effects of the two durations to be dependent without imposing assumptions about the structure of the dependence.

In this study we constructed a novel computational framework for circadian gene identification using deep neural networks (DNN) – a deep learning algorithm which can represent the raw form of data patterns without imposing assumptions on the expression distribution.

Some of them deal with the weak convergence theorem of the sequence ({x_{n}}) generated by (1.1) and others proved strong convergence theorems by imposing assumptions on A. Note that algorithm (1.1) can be rewritten as x_{n+1}-x_{n}+r_{n}A(x_{n+1} ni0, (1.2) for all (ninmathbb{N}).

Following similar steps in obtaining a tight lower bound on the achievable rate for a non-cooperative multiple-input multiple-output system [22, 23], a lower bound for (12) can be found by imposing assumptions that the input data y is i.i.d zero-mean Gaussian, and vector v is Gaussian distributed with the same first- and second-order statistics that are specified by the random vector in (11).

An effective finishing touch was given to the ensemble of the Kremlin's Cathedral Square by the erection of the imposing Assumption Belfry, begun in 1532 and built as a complement to the adjacent Ivan the Great Bell Tower.

We also impose Assumptions 1 and 2 here.

Furthermore, we give also many examples ensuring the essentialness of the imposed assumptions.

Many examples are provided to ensure the essentialness of the imposed assumptions.

Results of numerical tests are included which confirm the theoretical results and the necessity of the imposed assumptions.

Remark 1 It is clear that the inequality (2.4) is satisfied for any function y satisfying the imposed assumptions.

Many previous studies estimating the relationship between body mass index (BMI) and mortality impose assumptions regarding the functional form for BMI and result in conflicting findings.