where U ∈ C2N × M is composed of the left singular vectors related to non-zero singular values, which spans the signal subspace of M, U1 ∈ CN×M, and U2 ∈ CN×M span the signal subspaces of M1 and M2, respectively, and the matrix T ∈ CM×M is the unique non-singular one.
To validate that the chosen intervals, which for some parameters spanned only one order of magnitude, were indeed wide enough, we also ran optimizations with very wide intervals for the initial values which spanned four to six orders of magnitude (see table S3).
There were different degrees of spread in heritabilities, ranging from equal values for all traits (A, I, M and R) to sets of values which spanned a length interval of 0.80 (E, H, and O) and sets with a very uneven distribution of heritabilities (G, H, L, U and V).
The e-, s-, a-, b-, and v-coefficients and the constant, c, are determined via multiparameter linear least squares regression analysis of a data set comprised of solutes with known E, S, A, B, and V values and which span a reasonably wide range in interaction abilities.
The FIS obtained from the survey was fed with 18,013 quadruplets, representing the four variables -- the values of which spanned the whole range of each one [see Appendix II (d) for the choice of data procedure] - and provided us with the different severity degrees.
The listing suggests that the total value of the contract, which spans three sites, is worth £25 million.
This model exhibits large differences in value among concentrations, which span five orders of magnitude.
A character controlled by many genes is known as polygenic, or quantitative; such characters demonstrate continuous variation (e.g., weight or height, each of which spans a range of values).
The activity of 232Th [1 to 71 bq/kg] and 40K [40 to 771 bq/kg] exhibits the largest range between the different GPGs, which spans the range of values measured in previous European studies.
We have picked 0.75 as a midrange value for the ratio, assigning an uncertainty of ±0.25, which spans the full range allowed.
