Matrix calculations underlie countless problems in science, mathematics, and engineering. When the involved matrices are highly structured, displacement operators can be used to accelerate fundamental operations such as matrix-vector multiplication. In this thesis, we provide an introduction to the theory of displacement operators and study the interplay between displacement and natural matrix ...

Displacement Coefficient Method (DCM) stipulated in the ASCE 41-06 standard is becoming the preferred method for seismic rehabilitation of buildings in many high-seismic-hazard countries. Applications of the method for non-building constructions such as bridges are beyond the scope of this standard. Thus its application to this kind of structure should be approached with care. Target displaceme...

Analysis of mitochondrial DNA in forensic samples is routinely carried out by direct sequencing of hypervariable regions within the non-coding displacement loop. Although the accuracy and sensitivity of this method cannot be questioned, it is both time-consuming and labor intensive. Finding a way to rapidly pre-screen forensic samples-prior to sequencing, to reduce the number of samples that ne...

Different expressions have been developed to determine damping of structures based on various hysteretic models and ductility levels. Since Slenderness ratio is an important parameter on the hysteretic behavior of special concentrically- braced frames (SCBF), in this paper new expressions for determination of damping of such frames are developed based on slenderness ratio and ductility. Two typ...

today, countries that have experienced damages caused by wars, pay special attentions to passive defense in their defense strategies to protect their national properties and vital resources. to this end, observing passive defense considerations in urban development and design has a great impact on reducing the vulnerability of cities, financial losses, and casualties as well as increasing citiz...