For a nite group G the commutativity degree denote by d(G) and dend:$$d(G) =frac{|{(x; y)|x, yin G,xy = yx}|}{|G|^2}.$$ In [2] authors found commutativity degree for some groups,in this paper we nd commutativity degree for a class of groups that have high nilpontencies.

Recently we have reformulated the octonions as quasissociative algebras (quasialgebras) living in a symmetric monoidal category. In this note we provide further examples of quasialgebras, namely ones where the nonassociativity is induced by a Z Z n-grading and a nontrivial 3-cocycle.

With the addition of IBM System ze application assist processors (zAAPs) and integrated information processors (zIIPs) to the portfolio of special-purpose IBM System z processors, the reinvention of the IBM mainframe continues. Jointly, zAAPs and zIIPs provide significant IBM System z9e integrated and cost-effective processing cycles for today’s strategic Javae and DB2t for z/OSt programming pl...

This paper was originally presented to the 2005 Annual UK-CMG Conference in Warwickshire, UK. At that time, details on z/9 109 server and z/OS V1R7 were not available. That paper was accepted for presentation by the Computer Measurement Group at the 2005 CMG International Conference. The CMG Program Committee required that the final paper be submitted no later than September 16 . By that paper ...

One of the steps to reconstruct the 3-D geometry of biological objects from a stack of 2-D microscopic images, is to align the individual slices with respect to each other. Due to complex internal structures and imaging artifacts, automatic methods do not always lead to reliable results. Visual feedback consisting of sagittal and coronal cross-sections is very useful to validate the alignment r...

الأهداف: تهدف هذه الدراسة الى تقدیر ومقارنة تأثیر غسول الفم المستخلص من قشور الکاکاو مع الفلوراید على السمات المجهریة لسطح المینا بعد تعریض الأسنان لنوعین مشاریب الطاقة. المواد وطرائق العمل: تم جمع عشرین ضاحک أول الفک العلوی قلعت لغرض التقویم وقسمت عشوائیاً إلى أربع مجامیع، غمرت فی المجموعتین الاولیتین مشروب الطاقة (التایکر) لمدة 14 یوماً ثم غمر احدى المجامیع مستخلص والمجموعة الاخرى 7 أیام. اما ب...

ساهم تیار الیسار المصری بأحزابه وتنظیماته بدور بارز على الساحة السیاسیة المصریة منذ نشأته عام 1921، وکان احد التیارات المؤثرة ، لکنه وبعد تلقیه ضربة عقب حل الاحزاب ١٩٥٤ واعتقال قیاداته تقلب موقفه من سیاسة الرئیس جمال عبد الناصر(1954-1970) ما بین المعارضة والتأیید بحسب الموقف السیاسی الداخلی او الخارجی. ویهدف البحث إلى تتبع خط سیر مواقف قوى بتنوعها الأحداث السیاسة الداخلیة والخارجیة التی مرت بها...

The second Committee Draft of the ISO standard \Z Nota-tion" is expected to be published soon after the ZUM'98 proceedings. This paper provides an overview of Standard Z from the perspective of the diierences between its notation and that of Spivey's de facto standard \The Z Notation: A Reference Manual". Its aim is to make the diierences be more widely known and hence enable wider exploitation...