Sentence examples for thus of order from inspiring English sources

It is assumed that the number of symbols B is used for each batching processing to form the data matrix Y ^ ≡ y ^ 1, y ^ 2, ⋯, y ^ B. First, the computational complexity of computing the autocorrelation matrix R y ^ = E y ^ y ^ H = 1 / B ∑ i = 1 B y ^ i y ^ i H needs M2B multiplications implementing and is thus of order O(M2B).

Thus, is of order (13).

Thus, the existence of order effects implies that the chained equations algorithm is not equivalent to imputing from any joint model.

Here, the left and right side of sequents are multiset of formulas: thus, the order of formulas in these contexts does not matter but their multiplicity does matter.

Imagery functioned to reproduce the divine order of the real, with the image being 'a good appearance' of the real, thus of a 'sacramental order' (p. 6).

Thus, the order of choice of funding sources for innovator entrepreneurs should be the following (Sau 2003): 1. Insider finance   2.

Thus the order of magnitude of the forces produced by the muscle activity during unperturbed movements is less than 1 N, which is just a fraction of the robot-generated interaction-forces.

Thus, the order of appearance of each task in Table  1 also represents the fixed order of testing for all subjects in this study.

First, sequence alignment shows that each Lsm protein of the Lsm1-7 complex is analogous to one of the seven Sm proteins and thus, the order of Lsm proteins is derived from that of the Sm ring structure.

These differences in the kinetics of the models are due to the differences in noise levels of the functional multimers of different orders, confirming thus that the order of multimerization has a tangible effect on the kinetics of genetic circuits.

where is the th submatrix of order ; thus is of order, is of order, and similarly, the product is of order.