From Random Polygon to Ellipse: An Eigenanalysis

From Random Polygon to Ellipse: An Eigenanalysis

Suppose x and y are unit 2-norm n-vectors whose components sum to zero. Let P(x, y) be the polygon obtained by connecting (x1, y1), . . . , (xn, yn), (x1, y1) in order. We say that P̂(x̂, ŷ) is the normalized average of P(x, y) if it is obtained by connecting the midpoints of its edges and then normalizing the resulting vertex vectors x̂ and ŷ so that they have unit 2-norm. If this process is repe...

The Polygon-Ellipse Method of Data Compression of Weather Maps

Numerical Simulation of the Wake Flow Behind an Ellipse using Random Vortex Method (RESEARCH NOTE)

Direct numerical simulation of the wake flow around and behind a planar ellipse using a random vortex method is presented. Fluid is considered incompressible and the aspect ratios of ellipse and the angles of attacks are varied. This geometry can be a logical prelude to the more complex geometries, but less time dependent experimental measurements are available to validate the numerical results...

Random walk on a polygon

Abstract: A particle moves among the vertices of an (m + 1)-gon which are labeled clockwise as 0, 1, . . . , m. The particle starts at 0 and thereafter at each step it moves to the adjacent vertex, going clockwise with a known probability p, or counterclockwise with probability 1 − p. The directions of successive movements are independent. What is the expected number of moves needed to visit al...

a paradigm shift away from method-wise teaching to strategy-wise teaching: an investigation of reconstructive strategy versus communicative strategy

چکیده: هدف اصلی این مطالعه ی توصیفی تحقیقی در حقیقت تلاشی پساروش-گرا به منظور رسیدن به نتیجه ای منطقی در انتخاب مناسبترین راهکار آموزشی بر گرفته از چارچوب راهبردی مطرح شده توسط والدمر مارتن بوده که به بهترین شکل سازگار و مناسب با سامانه ی آموزشی ایران باشد. از این رو، دو راهکار آموزشی، راهکار ارتباطی و راهکار بازساختی، برای تحقیق و بررسی انتخاب شدند. صریحاً اینکه، در راستای هدف اصلی این پژوهش، ر...