Webendobj xref 6502 205 0000000016 00000 n 0000022944 00000 n 0000023198 00000 n 0000023244 00000 n 0000023282 00000 n 0000024041 00000 n 0000024548 00000 n 0000024587 00000 n 0000025402 00000 n 0000026246 00000 n 0000027179 00000 n 0000028094 00000 n 0000028495 00000 n 0000029043 00000 n 0000029133 00000 n … WebIn a recent report, Hairer defines the index of Differential Algebraic Equations (DAEs) by considering the effect of perturbations of the equations on the solutions. This index is called the perturbation index, pi. An earlier form of index used by a number of authors is determined by the number of differentiations of the DAEs that are required ...
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WebTo add automatically updated numbering (captions): 3. Position anywhere in the document, not in the equation. 4. On the Reference tab, in the Captions group, click the Insert Caption button: 5. In the Caption dialog box: In the Label drop-down list, select Equation, Check the Exclude label from caption checkbox: Webthe aquifer is horizontal and groundwater flow is horizontal; and. the well diameter is negligible. The following formulae are used: u = r 2 S 4 T t. W ( u) = − 0.5772 − ln ( u) + … dollar tree charging cords
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WebYou can refer to labelled equations, like equation (1.1) or sequence (1.2), from anywhere in the paper, even before they appear. But make sure to use \eqrefrather than \refwhen referencing equations; \refgives us equation 1.1 rather than the nicer equation (1.1). 1That’s because I numbered Theorems by Section in samplethesis.tex. You’d also ... WebA numbered equation always takes a separate line, so there is no question here — if you need to refer to some equation later in the text, it deserves a separate line and it needs … Webhelped shape the outcome of this thesis. I would also like to thank my friends, Dung Nguyen’14 and Chris and Christy Ranney, for their support. Without them, this thesis would not have been possible. Last but not least, thank you, Mom and Dad, for having faith in my abilities and judgment. v dollar tree chapman hwy knoxville tn