‎in this article‎, ‎we have focused one some basic and productive information about the properties of spectrum and singular values related to compact operators which are ideals in a c*-algebra of bounded operators‎. ‎considering a two-sided connection between the family of symmetric gauge functions on sequence of singular values of compact operators and symmetric norms on finite dimensional ope...

in the first part of this thesis we explored wetting and its dynamics for small droplets. first, we showed how a simple feature of water droplets on a surface, i.e. laplace pressure, can be exploited to build a micropump. we investigated capillary pumping in microchannels both experimentally and numerically. putting two droplets of different sizes at the in/outlet of a microchannel, will ge...

implicit and unobserved errors and vulnerabilities issues usually arise in cryptographic protocols and especially in authentication protocols. this may enable an attacker to make serious damages to the desired system, such as having the access to or changing secret documents, interfering in bank transactions, having access to users’ accounts, or may be having the control all over the syste...

فرض کنید g یک گروه متناهی باشد به طوری که مربع هر درجه کاراکتر تحویل ناپذیر آن اندیس مرکز گروه را عاد می کند. آیا می توان نتیجه گرفت که گروه پوچتوان یا حتی حلپذیر است؟ همچنین در مورد بعضی از تعمیمهای فوقالذکر بحث خواهیم کرد. همچنین، تا چه اندازه ساختار یک گروه حلپذیر توسط بزرگترین درجه کاراکتر تحویل ناپذیر گروه تحت تاثیر قرار میگیرد مورد بحث قرار خواهد گرفت. let g be a finite group such tha...