To treat probability rigorously, we define a sample space S whose elements are the possible outcomes of some process or experiment. For example, the sample space might be the outcomes of the roll of a die, or flips of a coin. To each element x of the sample space, we assign a probability, which will be a non-negative number between 0 and 1, which we will denote by p(x). We require that p(x) = ...

1 Gruppen 2 1.1 Die Definition einer Gruppe . . . . . . . . . . . . . . . . . . . . . 2 1.2 Untergruppen . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.3 Die ganzen Zahlen . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1.4 Diedergruppen . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 1.5 Permutationen . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 1.6...

We propose two new kinds of tests for equivalence principle and special relativity by using rotating extended bodies. The first test is based on the massvelocity relation in special relativity and the equivalence principle. The second test depends upon the spin-coupling between the rotating bodies. These tests could be done in a rotating torsion balance experiment or a free-fall experiment by c...

Three important parameters in designing a closed die for forging process are ratio of width to flash thickness, ratio of  height to billet diameter and the friction factor. In this paper the influences of these parameters on the required force for the forging and percentage of die filling were investigated. It was found that by controlling the flash dimension, the material loss is reduced and t...

Since tubes have numerous industrial applications, different attempts are focused on the severe plastic deformation processes of tubes. As an illustration, tube channel pressing (TCP) is an attractive process for this purpose since it can be used for processing of different sizes of tubes. However, more attempts are needed to improve the outcomes of TCP. For example, imposing of a greater strai...

We study the maximum temperature rise induced by a rotating or dithering Gaussian laser beam on a semi-infinite body. An analytical solution is obtained by solving the transient three-dimensional heat equation in a semi-infinite domain with insulating surface. The effect of rotating or dithering frequency on maximum temperature rise is quantitatively investigated for stainless steel and carbon ...

Reverse Osmosis (RO) is an efficient process for the removal of ionic and organic pollutants from wastewater. However, flux decline and rejection deterioration due to concentration polarization and membrane fouling hinders the application of RO technology. Rotating RO takes advantage of high shear and the Taylor vortex instability to reduce the flux decline related to concentration polarization...

in a closed die forging process, it is impossible to form complex shapes in one stage, and thus it becomes necessary to use preform dies. in the present study, backward deformation method and fe simulation via abaqus software has been used in order to design preform die of the h-shaped parts. in the backward deformation method, the final shape of the part is considered as a starting point and u...

Card Sorting stellt eine wichtige und häufig eingesetzte Usability Methode dar, die häufig für die Suche nach der grundlegenden Informationsarchitektur genutzt wird. Im Rahmen der Optimierung von Usability Tests und Remote Testing ergibt sich die Herausforderung, anstelle von realen Karten Systeme für die Durchführung von Card Sorting Testaufgaben zu entwickeln. Diese Studie zeigt anhand eines ...

Die-design for the die-casting process is a time consuming and complex activity that requires domain knowledge and vast experience of the die-designer besides information about manufacturing resources, part geometry, delivery time and cost preferences, etc. Complexity of the die-design activity further increases in case of a multi-cavity die. Currently available die-design systems lack in the l...