By Doerr F.

ISBN-10: 3486208500

ISBN-13: 9783486208504

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**Example text**

67). In the next section, we study some exceptional cases where this restrictive assumption does not hold.

In Chapter 3, where fluctuations enter the discussion, we shall, for clarity, write instead of F, to make it explicitly clear that it is an average force. Therefore, the real force will be different from the average force. After the burst, the force again starts increasing linearly with the extension x. Since the strain here is the independent variable, one is performing a straincontrolled experiment. Figure (d) contains both the strain-controlled situation (fully drawn lines) and the force-controlled case with dashed lines.

Daniels earned a PhD at the University of Edinburgh for his work on strength of bundles. In 1957, Daniels was appointed Lecturer in Mathematics at the new Statistical Laboratory at Cambridge, and in 1957, he was hired as the first Professor of Mathematical Statistics at the University of Birmingham. During 1974–1975, Daniels was President of the Royal Statistical Society. Daniels died in 2000. It is of interest to determine the maximum force that the bundle can stand. In a forcecontrolled experiment, the decreasing parts of F are replaced by the constant values shown as dashed lines, as discussed in the preceding section.

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