Sentence examples for mutually orthogonal so from inspiring English sources

The synthesis of such peptides requires that all analogs be mutually orthogonal, so that misincorporation events do not lead to a scrambling of the relationship between coding mRNA and translated peptide.

For the shared-antenna FD massive MU-MIMO system, if the array scale is large enough and greatly exceeds the number of users, that is M≫K, the column vectors of the signal channel matrix are mutually orthogonal [4], and so do the vectors of the SI channel matrix.

An orthotropic material has three mutually orthogonal axes of rotational symmetry so that its mechanical properties are different along each axis.

Since is not irreducible, we may write (mathcal{H} = mathcal{H}_{a} oplusmathcal{H}_{b}) where (mathcal{H}_{a}) and (mathcal{H}_{b}) are mutually orthogonal, stable subspaces of (mathcal{H}) (note that for this to be so, they must be closed), and try to decompose (mathcal{H}_{a}) further.

It determines the linear combinations of sensor values so that the maximum variance between all data points can be obtained in mutually orthogonal dimensions.

Hence, the construction of mutually orthogonal Latin squares is an important combinatorial problem.

When k − 1 mutually orthogonal Latin squares of order k exist, the set is complete.

Two orthogonal Latin squares of order 4 are exhibited in Figure 2. A set of mutually orthogonal Latin squares is a set of Latin squares any two of which are orthogonal.

The vestibular system is what gives us our sense of balance and sense of spatial awareness; it's dependent on three mutually orthogonal fluid-filled canals in the inner ear.

Indeed, the existence of an orthogonal array of k constraints, s levels, strength 2, and index unity is combinatorially equivalent to the existence of a set of k − 2 mutually orthogonal Latin squares of order s.

It is easily shown that there cannot exist more than k − 1 mutually orthogonal Latin squares of a given order k.