Sentence examples for assumptions fail to from inspiring English sources

For example, he routinely goes beyond the standard treatment of econometric textbooks, challenging his students to identify instances in which simplifying assumptions fail to hold and inspiring us to discover creative and technically rigorous approaches to problem solving.

In order to employ such a priori knowledge within stochastic annealing procedures, it requires a high computational complexity; besides, it has the drawback to poorly perform when the starting assumptions fail to hold, as we show in the following Section 5.2. Figure 4 CS acquisition of a natural image with N =4,096, M =1,500 and K =1,024.

To the extent that the model assumptions fail to hold (for example, because of data anomalies, unmeasured confounding or sampling variability in the rates) some degree of over-dispersion and a widening of the confidence intervals is to be expected.

To investigate these issues, we developed a model for bioterror attack detection under assumptions favorable to donor screening, for if such best-case assumptions fail to justify screening donors, more realistic assumptions will also.

That broad brush of moral assumptions fails to consider both the mechanism of Nazi rule over all and the specific role that Theresienstadt, the show camp, served within it.

Heat transfer studies show, that "mixing models" based on the high Reynolds number assumption fail to compute correctly the temperature field and the heat flux close to the wall.

Not only would such assumption fail to reflect reality, see, e.g., Gilliard, 483 U.S., at 600, n. 14, 107 S.Ct., at 3016-17, n. 14, it would also be inconsistent with the duty imposed on caretakers by federal law to spend AFDC payments "in the best interests of the children" for whom they care, 42 U.S.C. 605, a duty specifically implemented by California law, see, e.g., Cal . Welf

However, this assumption fails to acknowledge the complexity of the developmental process.

The study depicted that American Petroleum Institute practice number 521 which suggests an ideal gas assumption fails to provide reliable predictions as it significantly overestimate the relieving temperature.

But this assumption fails to recognize that much of Japan's trade with China, South Korea and Taiwan is in components for products that are then sold in third countries, not least the United States.

The Fed's pace of tightening may become a little less measured if this assumption fails to hold.The Fed's pace will also depend on how America's households respond to its putting.