There are remarkable relations between the graded homological dimensions and the ordinary homological dimensions. In this paper, we study the injective dimension of a complex of graded modules and derive its some properties. In particular, we define the $^*$dualizing complex for a graded ring and investigate its consequences.

A general method to study classical scattering in n-dimension is developed. Through classical trajectory calculations, the three-body recombination is computed as a function of the collision energy for helium atoms, as an example. Quantum calculations are also performed for the J(Π) = 0(+) symmetry of the three-body recombination rate in order to compare with the classical results, yielding goo...

OBJECTIVE To obtain normal M mode (one dimensional) echocardiographic values in a substantial sample of normal infants and children. DESIGN Data were obtained over three years from a single centre in central Europe. PATIENTS 2036 healthy infants and children aged one day to 18 years. METHODS In line with recommendations for standardising measurements from M mode echocardiograms, and using...

BACKGROUND AND PURPOSE Percutaneous vertebroplasty can aggravate spinal canal narrowing, especially in patients with preoperative retropulsion. The purpose of this study was to evaluate changes in spinal canal dimension during percutaneous vertebroplasty for osteoporotic fractures with retropulsion. MATERIALS AND METHODS We reviewed all cases of osteoporotic vertebral fractures treated with v...

‎In this paper we give an upper bound for Noetherian dimension of all injective modules with Krull dimension on arbitrary rings‎. ‎In particular‎, ‎we also give an upper bound for Noetherian dimension of all Artinian modules on Noetherian duo rings.

OBJECTIVE We performed a meta-analysis to evaluate the effects of whole-body vibration on physiologic and functional measurements in children with cerebral palsy. DESIGN AND METHODS We searched MEDLINE, Cochrane Controlled Trials Register, EMBASE, Scielo, CINAHL (from the earliest date available to November 2014) for randomized controlled trials, that aimed to investigate the effects of whole...

We construct explicit bound state wave functions and bound state energies for certain N{ body Hamiltonians in one dimension that are analogous to N{electron Hamiltonians for (three-dimensional) atoms and monatomic ions.

A desire to look attractive is no longer taken as a sign of vanity. Since the face is the most exposed part of the body, and the mouth a prominent feature, teeth are getting a greater share of attention. The severe wear of anterior teeth facilitates the loss of anterior guidance, which protects the posterior teeth from wear during excursive movement. The collapse of posterior teeth also results...

To perceive the location of touch in space, we integrate information about skin-location with information about the location of that body part in space. Most research investigating this process of tactile spatial remapping has used the so-called crossed-hands deficit, in which the ability to judge the temporal order of touches on the two hands is impaired when the arms are crossed. This posture...