An algorithm using a suggested ansatz is presented to reduce the area of a surface spanned by a finite number of boundary curves by doing a variational improvement in the initial surface of which area is to be reduced. The anzatz we consider, consists of original surface plus a variational parameter multiplying the unit normal to the surface, numerator part of its mean curvature function and a function of its parameters chosen such that its variation at boundary points is zero. We minimize of its rms mean curvature and for the same boundary decrease the area of the surface we generate. We do a complete numerical implementation for the boundary of surfaces, a) when the minimal surface is known, namely a hemiellipsoid spanned by an elliptic curve (in this case the area is reduced for the elliptic boundary by as much as 23 percent of original surface), and b) a hump like surface spanned by four straight lines in the same plane- in this case the area is reduced by about 37.9141 percent of original surface along with the case when the corresponding minimal surface is unknown, namely a bilinearly interpolating surface spanned by four bounding straight lines lying in different planes. (The four boundary lines of the bilinear interpolation can model the initial and final configurations of re-arranging strings). This is a special case of Coons patch, a surface frequently encountered in surface modelling- Area reduced for the bilinear interpolation is 0.8 percent of original surface, with no further decrease possible at least for the ansatz we used, suggesting that it is already a near-minimal surface. As a Coons patch is defined only for a boundary composed of four analytical curves, we extend the range of applicability of a Coons patch by telling how to write it for a boundary composed of an arbitrary number of boundary curves. We partition the curves in a clear and natural way into four groups and then join all the curves in each group into one analytic curve by using representations of the unit step function including a fully analytic suggested by us. Having a well parameterized Coons patch spanning a boundary composed of an arbitrary number of curves, we do calculations on it that are motivated by variational calculus that give a better optimized and possibly more smooth surface. A complete numerical implementation for a boundary composed of five straight lines is provided (that can model a string breaking) and get about 0.82 percent decrease of the area in this case as well. Given the demonstrated ability of our optimization algorithm to reduce area by as much as 37.9141 percent for a spanning surface not close to being a minimal x xi surface, this much smaller fractional decrease suggests that the Coons patch for f ive line boundary we have been able to write is also close to being a minimal surface. That is it is a near-minimal surface. This work compares the reduction in area for near-minimal surfaces (bilinear interpolation spanned by four boundary lines and a Coons patch whose boundary is rewritten for a boundary composed of five lines) with the surfaces whose minimal surfaces are already known (a hemiellipsoid spanned by an elliptic disc and a hump like surface spanned by four straight lines lying in the same plane) and we have been able to calculate numerically worked out differential geometry related quantities like the metric, unit normal, root mean square of mean curvature and root mean square of Gaussian curvature for the surface obtained through calculus of variations with reduced area.
مولانا عبدالسلام خاں رام پوری اخباروں سے یہ افسوس ناک خبر ملی کہ ۱۳؍ اپریل کو مولانا عبدالسلام خاں رام پوری نے اس دنیائے فانی کو الوداع کہہ دیا، اِناﷲ وَاِنا اِلَیہ رَاجِعُون۔ ان کے ساتھ ہی دارالسرور رام پور کی وہ امتیازی شناخت بھی رخصت ہوگئی جس کی وجہ سے رام پور کو بخارائے ہندی کہا جاتا تھا، رام پور کی ریاست کی علم پروری اور سخن نوازی کی داستانیں ہماری علمی و ادبی تاریخ کا بڑا دل کش حصہ ہیں لیکن فلسفہ و کلام و منطق جیسے علوم معقولات میں اس ریاست کی روایت کی بات ہی کچھ اور ہے، اٹھارہویں صدی کے اواخر میں نواب فیض اﷲ خاں کے فیض سے جب وہاں مدرسہ عالیہ قائم ہوا اور اس کے پہلے صدر مدرس کی حیثیت سے مولانا عبدالعلی بحرالعلوم فرنگی محلی کا تقرر ہوا تو جیسے معقولات کی بہار آگئی، مولانا فضل حق خیرآبادی اور مولانا عبدالحق خیرآبادی جیسے ائمہ فلسفہ اسی فصل گل کی یادگار ہوئے، مولانا عبدالسلام خاں نے جب رام پور کی اس فضا میں ۱۹۱۷ء میں پہلی سانس لی تو گو پہلا سا رنگ نہیں تھا لیکن رونق اب بھی باقی تھی، ان کے ہم عصر ساتھیوں میں مولانا وجیہ الدین خاں، مولانا ابوالوفاء شاہ جہاں پوری، مولوی عبدالوہاب خاں، مولانا امتیاز علی عرشی جیسے اصحاب فضل و کمال کے نام ملتے ہیں، ان کے اساتذہ میں ایک نام جیراج پور اعظم گڑھ کے مولوی عبدالودود ندوی کا بھی ہے، مولانا عبدالسلام خاں کی غیر معمولی لیاقت ہی تھی کہ ان کو کم عمری میں اس مدرسہ عالیہ کا متولی یعنی پرنسپل بنایا گیا اور یہ ان کی صلاحیت تھی کہ وہ ۱۹۷۵ء تک یعنی قریب تیس سال تک اس عہدے پر فائز رہے لیکن ان کی اصل شہرت ان کے قلم کی رہین منت ہے جس نے...
Mirza Bedil is a famous and well renowned poet of his era and after his era. His poetry has very poetically and lyrically characteristics, thoughts of his poetry also influenced on Urdu and Persian language. Even big poets of Urdu and Persian Ghalib and Iqbal inspired by Bedil’s poetry style and thoughts. Bedil’s poetry has many ethically manners, mystically thoughts, secrets of life and also thoughts of life’s movement to forward. In this article must present the ethically and good manners aspects of Bedil’s poetry, according to life, mystic, God, earth and other aspects of daily life.
Background: Direct observation of residents in clinical encounters by faculty and assessment for learning has now become a key component of postgraduate training programs. DOPS, a workplace-based assessment form, was designed to provide formative assessment and feedback about a trainee’s procedural skills. Interactions between residents and faculty are central to this learning process and are influenced by multiple factors both at faculty and resident levels as well as contextual factors. The feedback may be used by the receiver to contemplate behaviour change. The receptivity of the resident to the feedback is a key determinant as to whether the process to permanent behaviour change (learning) will occur. Studies have shown discordance between intended feedback by faculty and that received by trainees. It has been noted that top-down approaches to improve receptiveness of feedback have little influence on students’ experience. Tips for trainees have been proposed to make best use of feedback which provide strategies to reflect, interact and respond to feedback from faculty. These tips are numerous to memorize and recall, overlapping in their composition and not specific for the Aga Khan University setting. This study sought to locally-develop the AKUH O.R Feedback tips, a resident driven action research tool based on the twelve tips, to improve receptivity of feedback from faculty at AKUHN. Objective: To develop a feedback guide that postgraduate residents can use to improve their receptivity of feedback received from faculty in the operating theatre after a directly observed procedural skill at Aga Khan University Hospital, Nairobi. Design: A Qualitative action research study. Method: Consented first-year residents from general surgery, anesthesiology, obstetrics and gynecology underwent direct observation in the operating room by faculty after which they received feedback. They then participated in focus group discussions lasting 90-120 minutes during which they expressed their feelings and perceptions towards their feedback, identified problems and proposed remedies. The discussions were audio recorded, transcribed verbatim, verified, anonymized and analyzed using NVIVO 10 software. Giorgi phenomenological qualitative method was used to develop themes. They were then introduced to the “twelve tips of making the best use of feedback” as compiled by Van der Leeuw and Slootweg during interactive workshop. They reflected on their experience, identified with and modified the tips to best suit the academic and workplace environment at Aga Khan University Hospital operating theatre. The AKUHN Feedback tips were formulated and their response to the guide was then analyzed. Results: The residents