Asymptotic Distribution of Coordinates on High Dimensional Spheres

Lattice Points in High-Dimensional Spheres

A general principle, dating back to Gauss, that is widely used in estimating the number of integer lattice points in nice sets S in R is that this number equals the volume of S with a small error term [4,5,13]. This approach is very useful, and can be proved to be rigorous, for example, if one considers the number of lattice points in sets rT, where the dimension n is fixed, T is a given nice s...

Asymptotic Distribution of Divergence Measure with Applications

the impact of computer-assisted language learning on achievement motivation of high school students

چکیده انگیزه دلیل اصلی رفتارهای ما است. به نظر می رسد انگیزه جزء جدایی ناپذیر فرایند یادگیری باشد. ارزش ذاتی موفقیت تمایل به پیشرفت را در یادگیرنده ایجاد میکند. به عبارت ساده این تمایل انگیزه پیشرفت نامیده میشود. انگیزه پیشرفت را میتوان در احساس یادگیرنده هنگام چالش با درس های مدرسه، لذت انجام فعالیت درسی، یا حس کشف پاسخ مشاهده کرد.حتی ممکن است انگیزه پیشرفت را در تلاش یادگیرنده برای جلب تایید...

the effect of explicit instruction of metacognitive strategies on reading comprehension among iranian high school students

the present study seeks to determine the effect of explicit instruction of metacognitive strategies on iranian high school students’ reading comprehension ability. it also attempts to investigate the relationship between the learners reading comprehension and metacognitive strategies. furthermore, the study investigates whether iranian efl female high school students are high, medium, or low me...

Universally Optimal Distribution of Points on Spheres

We study configurations of points on the unit sphere that minimize potential energy for a broad class of potential functions (viewed as functions of the squared Euclidean distance between points). Call a configuration sharp if there are m distances between distinct points in it and it is a spherical (2m− 1)-design. We prove that every sharp configuration minimizes potential energy for all compl...