محمد خالد
محمد خالد (۱۹۵۰ئ) خالدؔ تخلص کرتے ہیں۔ وہ چونڈہ تحصیل پسرور میں پیدا ہوئے۔ آپ ۱۹۷۵ء میں اسلامیہ کالج آف کامرس لاہور لیکچرار کے عہدے پر تعینات ہوئے ۔(۱۰۷۷) افسردگی ،بے چینی ،بد امنی اور شکستہ دلی ان کی شاعری کے اہم موضوعات ہیں۔ اس حوالے سے کچھ اشعار ملاحظہ ہوں:
اجڑے ہوئے ہیں شہر کے دیوار ودر نہ جا
دل کی وارداتیں ہیں بڑی معتبر نہ جا
پہنا نہ خواہشوں کو لباس برہنگی
شب کی مسافتوں میں برنگِ سحر نہ جا
(۱۰۷۸)
ہاں میں شکستہ دل ہوں مگر آئینہ تو ہوں
تو اپنا رنگ دیکھ مرے حال پر نہ جا
(۱۰۷۹)
This article reviews how scanning technique contributes to reading comprehension. Reading comprehension is defined as the process by which a person derives meaning from print. Scanning is a device used to locate details. Scanning means glancing rapidly through the text either to search for a specific piece of information The differences of students reading comprehension after treatment are influenced by treatment given to them. It was proven by the result of previous research statistical data analysis which indicated to the students’ progress. Teaching reading by using scanning technique can increase students’ reading achievement.
The aim of the present thesis is to study, develop and implement certain algorithms in order to find the type of singularities for isolated complete intersection singularities w.r.t contact equivalence of modality ≤ 1 defined over an algebraically closed field K. The new investigation is that we do not compute the normal form of a given singularity because this would be space and time consuming. We present a charac- terization of the different types of singularities in terms of certain invariants and use the characterization to identify the singularities. We describe our implementation in computer algebra system Singular. Therefore, we discuss three problems in this thesis. • Problem 1 deals with the classification of hypersurface singularities with respect to contact equivalence when the characteristic of the field p > 2 by using blowing up as a new tool. • Problem 2 studies the classification of simple complete intersection singularities in terms of certain invariants when the characteristic of the field p = 0. • Problem 3 includes to find the complete list of unimodular complete intersection space curve singularities and the characterization of these singularities in terms of certain invariants when the characteristic of the field p = 0