Sentence examples for be defined in linear from inspiring English sources

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end{aligned} (13)Now, sliding surface can be defined in linear mode for the achievement of stability in the states of the subsystem (4): begin{aligned} S=left[ {{begin{array}{l} {s_5 } {s_6 } end{array} }} right] =c_1 e_1 +c_2 e_2 +c_3 e_3 +e_4.

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Accordingly, cut-off values for normality vs dysfunction should be defined in a linear regression equation as a function of age [ 19].

The potential functions over geometrically linear BEM elements can be defined in the form of constant, linear or other types of interpolation functions.

However, questions still remain: how far a linear region can be defined in the curve for the slope fitting, whether a linear region exists at infinitesimal strain, and how the intrinsic ripples in pristine graphene affect the mechanical behavior.

The most important question addressed in this paper is how this linear combination can be defined in order to ensure walking stability.

Lemma 2 Let the linear functional L be defined in such a way that L ( h 2 ( x ) ) ≥ 0 for any arbitrary function h ( x ), and H 1, H 2 be defined as (7).

A linear structure can be defined in (mathcal{F}(Y)) in a similar way to fuzzy sets in ℝ or (mathbb{R}^{n}), by begin{aligned}& (uoplus v) (y)=sup_{x+z=y}minbigl{ u(x),v z bigr}, & (gamma u) (y)= begin{cases} u(frac{y}{gamma}), &mbox{if }gammaneq0, I_{0} y),& mbox{if }gamma=0 end{cases} end{aligned} for (u,vinmathcal{F}(Y)) and (gammainmathbb{R}), where (I_{0} y)=0) if (yneq0) and (I_{0}(0}=1).

Dynamic graphs are defined in a linear space as a one-parameter group of transformations of the graph space into itself.

The genetic variation in the protein was defined in the linear models using one-dimensional variables for the RH substitutions; residues 25, 26 and 29 were are described by single-dimensional vectors a, b, and c, respectively, with the ancestral state defined as −1 and the derived state defined as +1 (Supplementary file 2).

However, because breeding values are defined in terms of linear functions based upon additive inheritance, the predictive performance of ANN relative to linear additive systems is of some interest.

Because the reduced feasible set is defined in (3) by linear constraints, we propose an alternative algorithm to the EM-based approach based on linear programming (LP) to compute the FBID of a perturbation.

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