Sentence examples for example and equations from inspiring English sources

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= (1−d t (see figure 4b for a graphical example and equations 35 and 36 of the Appendix S1).

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In our example, and equation (11) reduces to leading to the constraint matrix Then one would refine instead of the.

Math is very visual, Ms. King said, and to help her students learn, she uses an overhead projector, constantly writes examples and equations on the board and mouths words for students who read lips.

For algorithm details, example queries, and equations, see Supplemental Material, pp. 5 7 (http://dx.doi.org/10.1289/ehp.1103412).org/10.1289/ehp.1103412

This is better understood with an example, as illustrated in Figure 4, for the case where β = Red (R), and i = j = 2. Figure 4 Application example for Equations 6 and 7, where β = R, and i = j = 2. Similarly defined as was the BIG fuzzy set, this set is defined as the SMALL fuzzy set.

For example, whereas various skinfold thicknesses and equations were stronger predictors of body fatness (determined from a 4-compartment model) than was BMI (Rs of ~0.85 vs. 0.67) [ 3], the multiple R for individual skinfolds varied from 0.76 (thigh) to 0.85 (biceps) [ 45].

Example 1 Equations (4) and (7) can be reduced to the following difference equations with pure delays Δ x ( n ) = A ( n ) x ( n ) + B ( n + 1 ) x ( n - j + 1 ), n ≥ 1 (46).

Throughout, the handbook offers illustrative case examples, worked equations, and extensive references; additional features include chapter abstracts, keywords, and author and subject indices.

We also give various examples of equations and boundary conditions satisfying our conditions and also show that our theory can be extended to embrace (C^{1,1}) solutions of degenerate equations.

We accompanied our theoretical results by an applied example and an application to integral equations.

To illustrate our results, an example and an application to integral equations have also been given.

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