The intensity –duration –frequency (IDF) curves play most important role in watershed management, flood control and hydraulic design of structures. Conventional method for calculating the IDF curves needs hourly rainfall data in different durations which is not extensively available in many regions. Instead 24-hour precipitation statistics were measured in most rain-gauge stations. In this stud...

the main cause of structural damage in buildings subjected to seismic actions is lateral drift. in almost all reinforced concrete (rc) structures, whether designed with walls or frames, it is likely to be the code drift limits that control the design drift. the design drift limits and their contribution to damage may be represented indirectly through the material strain limits. the aim of this ...

ACKNOWLEDGEMENTS I would like to thank my adviser Michael Zieve for teaching me to fish. I would like to thank Jeffrey Lagarias for helpful feedback in writing this thesis. I would like to thank my family (Peter, Susan, and Holly), my beautiful girlfriend Becky, and the community of Michigan graduate students for keeping me sane.

[1] The strong jet, with a speed between 500 and 600 m/s, is inferred in the equatorial region of Saturn by combining the nadir and limb observations of Composite Infrared Spectrometer (CIRS) aboard the Cassini spacecraft. A similar jet was discovered on Jupiter (F. M. Flasar et al., 2004a). These discoveries raise the possibility that intense jets are common in the equatorial stratospheres of ...

the intensity – duration – frequency (idf) curves play most important role in the hydraulic design of structures. the traditional method to construct idf curves has a long estimation process and also has high number of parameters which this property reduces the reliability of idf curves. in the traditional method, rainfall in different durations should be available until the extraction of idf c...

the previous studies show that a high percentage of traffic accidents take place in two-lane rural highways and most of which happen at horizontal curves. meanwhile the horizontal alignment is often subject to hard topographic conditions where because of economic aspects designers are forced to design horizontal curves at grades. vertical angle of longitudinal slope reduces the normal force of ...

In this paper a class of quartic trigonometric Bézier curve, called QT Bézier curve, with two shape parameters is presented. These curves not only inherit most properties of the usual quartic Bézier curves in the polynomial space, but also enjoy some other advantageous properties for shape modelling. The shape of the curve can be adjusted by altering the values of shape parameters while the con...

We show that one can find two nonisomorphic curves over a field K that become isomorphic to one another over two finite extensions of K whose degrees over K are coprime to one another. More specifically, let K0 be an arbitrary prime field and let r > 1 and s > 1 be integers that are coprime to one another. We show that one can find a finite extension K of K0, a degree-r extension L of K, a degr...

This talk gives an introduction into the subject of Seiberg-Witten curves and their relation to integrable systems. We discuss some motivations and origins of this relation and consider explicit construction of various families of Seiberg-Witten curves in terms of corresponding integrable models.

Manjul Bhargava and I have recently proved a result on the average order of the 2-Selmer groups of the Jacobians of hyperelliptic curves of a fixed genus n ≥ 1 over Q, with a rational Weierstrass point [2, Thm 1]. A surprising fact which emerges is that the average order of this finite group is equal to 3, independent of the genus n. This gives us a uniform upper bound of 3 2 on the average ran...