Sentence examples for and coefficients the same from inspiring English sources

Exact(1)

However, owing to differing equation forms and coefficients, the same equations often were not the bounds over the entire DBH range of a prediction envelope; thus equations from multiple sources could contribute to the bounds of our final total tree C prediction envelope.

Similar(59)

Start by making the y coefficients the same.

Trimmed models were little changed (< 20% change in beta coefficients, and the same PCB and thyroid effects were significant at p < 0.05; results not shown) when compared with full models that included time of blood collection, p,p′ -DDE, and mirex nondetects versus detects.

Recalculation of the DAS28 coefficients in a discriminative function obtained similar coefficients and the same discriminative capacity as the original DAS28.

Inspection of the regression coefficients for individual chemical species revealed patterns in the models, with subsets of chemicals having similar regression coefficients and the same predictor variables shown to be insignificant.

In order to overcome these drawbacks, this work attempts to obtain a SiOx-based thin film over a TPE substrate using aminopropyltriethoxysilane (APTES) with similar or lower friction coefficients and the same durability.

If we substitute (2.2) in (3.1) and equate coefficients at the same exponents and free members, then we obtain [ λ k ( t ) I − A ( t ) y k ( t ) ] = h k ( t ), k = 1, n ¯, (3.3).

where X ( 0 ) and the coefficients have the same conditions as in (9), and ϵ ∈ ( 0, ϵ 0 ] is a positive small parameter with ϵ 0 a fixed number. Obviously, (11) also has a unique solution X ϵ ( t ), t ∈ [ 0, T ] for every fixed ϵ ∈ ( 0, ϵ 0 ]. Define f ¯ ( x, y ) : R d × R d → R d, g ¯ ( x, y ) : R d × R d → R d × m to be measurable functions, satisfying the condition (A1′).

Age, gender and SLE remained significantly associated with years traded off and their coefficients had the same sign as before.

Through perturbation analysis, the contamination wavenumbers present in a doublet having repeated frequency are shown to comprise two subsets, the members of which have sine and cosine coefficients of the same, or of differing, signs for each wavenumber in the mode shape's Fourier expansion.

Assuming that the signal output is the linear combination of samples before time and the coefficients maintain the same value from one sample to the next, this is called forward prediction.

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