Sentence examples for be mutually orthogonal from inspiring English sources
Proof (i) Let E and F be mutually orthogonal projections.
To allow this decomposition to divide the RAS invariants and orthogonal space, the elements of ({varvec{B}}_1) and ({varvec{B}}_2) must be mutually orthogonal.
The main feature of OVSF codes that are derived from Walsh-Hadamard sequences is to be mutually orthogonal at a parity of the SF parameter.
Let us note, however, that in case of two FDM bases systems (SC-FDM and OFDM in our scheme), these two signal can be mutually orthogonal depending on the time and frequency synchronization between the considered systems.
(ii) Let P and Q be mutually orthogonal projections acting on (mathcal{H}) and take arbitrary k-tuples ((T_{1},ldots,T_{k})) and ((S_{1},ldots,S_{k})) of operators in (mathfrak{B}(mathcal{H})) such that the compressed tuples ((PT_{1}P,ldots,PT_{k}P)) and ((QS_{1}Q, ldots, QS_{k}Q)) are in the domain (mathcal{D}).
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.
The fact that these three vectors corresponding to three possible results of measurement in one spatial direction are mutually orthogonal illustrates the different senses of orthogonality in H3 and in physical space.
A new pyrrolysyl-tRNA synthetase/PyltRNA (PylRS/PyltRNA) pair that is mutually orthogonal to existing PylRS/PyltRNA pairs has now been discovered and optimized.
Recall from the end of §5.10 above that an orthonormal set of vectors is a set of unit-length vectors that are mutually orthogonal.
Pyrrolysyl-tRNA synthetase(PylRS)/PyltRNACUA pairs that lack the N-terminal domain but are active and orthogonal are discovered, and pairs that are mutually orthogonal to existing PylRS/PyltRNACUA pairs are developed.
In these designs the block terms are mutually orthogonal, the treatment terms are also mutually orthogonal, and the contrasts of each treatment term have equal efficiency factors in each of the strata where they are estimated.
