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Chapter 2

Thus the sphere of radius ˆaround x is composed of those y that might be received if at most ˆsymbol errors were introduced to the transmitted codeword x The volume of a sphere of radius ˆis independent of the location of its center (2 1 4) Problem Prove that in An with jAj= m, a sphere of radius econtains Xe i=0 n i (m 1)i words



The Sphere Handbook: Humanitarian Charter and Minimum

This edition of The Sphere Handbook is the result of the most diverse and far-reaching consultation process in the history of Sphere Nearly 4,500 online comments were received from 190 organisations, and more than 1,400 people participated in 60 in-person events hosted by partners in 40 countries Sphere gratefully acknowledges the



Disaster Risk Reduction - Sphere

(Sphere definition of DRR) This implies the following key elements of DRR*: (1) Analysis of risks, vulnerabilities and capacities, (2) Reduction of exposure, (3) Reduction of vulnerabilities and (4) Enhancing capacities *please see online glossary for definitions of various DRR-related terms used in this TS



Spherical Trigonometry

the center of the sphere Since each side of a spherical triangle is contained in a central plane, the projection of each side onto a tangent plane is a line We will also assume the radius of the sphere is 1 Thus, the length of an arc of a great circle, is its angle Figure 1: Central Plane of a Unit Sphere Containing the Side α 1



The Spheres of Physical Activity Experience

Sphere of Leisure (continued) • Physical activity as leisure activity – Many popular activities – Some more active than others • Sports watching – Clearly on the rise – Raises concerns for physical activity professionals, particularly because this is a sedentary activity



Gauss’ Law

A solid conducting sphere is concentric with a thin conducting shell, as shown The inner sphere carries a charge Q1, and the spherical shell carries a charge Q2, such that Q2 = - 3 Q1 1 How is the charge distributed on the sphere? 2 How is the charge distributed on the spherical shell? 3 What is the electric field at r < R 1? Between R 1 and



Chapter 2: Minimum Standards in Water Supply, Sanitation and

and security The term ‘sanitation’, throughout Sphere, refers to excreta disposal, vector control, solid waste disposal and drainage Simply providing sufficient water and sanitation facilities will not, on its own, ensure their optimal use or impact on public health In order to achieve the maximum benefit from a response, it is imperative to



The Definition of a Manifold and First Examples

Exercise # 2 (Atlases on the circle) Define the 1–sphere S1 to be the unit circle in R2 Put atlases on S1 using charts defined by: 1 the angle of rotation from a fixed point, 2 the slope of the secant line from a fixed point, 3 the projections to the xand yaxes In each case, compute the transition functions

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