Sphere The definition of sphere is a 3D closed surface where every point on the sphere is same distance (radius) from a given point. The equation of a sphere at the origin is x² + y² + z² = r². Since we cannot draw all the points on a sphere, we only sample a limited amount of points by dividing the sphere by sectors (longitude) and stacks (latitude). Then connect these sampled points together to form surfaces of the sphere. Stacks Sectors r-coso-cose X Ꮓ (x, y, z) г 0 r-coso r-coso-sine r-sino Sectors and stacks of a sphere A point on a sphere using sector and stack angles An arbitrary point (x, y, z) on a sphere can be computed by parametric equations with the corresponding sector angle and stack angle . x = (r⋅ cos ) cos 0 = Y (r cos) sin z = r. sin The range of sector angles is from 0 to 360 degrees, and the stack angles are from 90 (top) to -90 degrees (bottom). The sector and stack angle for each step can be calculated by the following; Ꮎ = 2πT || = π 2 - sectorStep sectorCount stackStep stackCount

Sphere The definition of sphere is a 3D closed surface where every point on the sphere is same distance (radius) from a given point. The equation of a sphere at the origin is x² + y² + z² = r². Since we cannot draw all the points on a sphere, we only sample a limited amount of points by dividing the sphere by sectors (longitude) and stacks (latitude). Then connect these sampled points together to form surfaces of the sphere. Stacks Sectors r-coso-cose X Ꮓ (x, y, z) г 0 r-coso r-coso-sine r-sino Sectors and stacks of a sphere A point on a sphere using sector and stack angles An arbitrary point (x, y, z) on a sphere can be computed by parametric equations with the corresponding sector angle and stack angle . x = (r⋅ cos ) cos 0 = Y (r cos) sin z = r. sin The range of sector angles is from 0 to 360 degrees, and the stack angles are from 90 (top) to -90 degrees (bottom). The sector and stack angle for each step can be calculated by the following; Ꮎ = 2πT || = π 2 - sectorStep sectorCount stackStep stackCount

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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The function is given a map with 1 representing land, o representing water. A land cell can have four neighbors along its edges. Compute the total perimeter of shore-lines that are defined by land cells touching water or the outer edges of the map. Each cell edge has a length equal to 1. An isolated cell without neighbors has a total perimeter length of 4. Examples islandsPerimeter ([ [0, 1, 0, 0], [1, 1, 1, 0], [0, 1, 0, 0], [1, 1, 0, 0] → 16 ])
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| Consider the elliptic curve group based on the equation y? = x' + ax + b mod p where a = 4, b = 1, and p = 7. This curve contains the point P = (0, 1). The order of this elliptic curve group is the prime number 5, and therefore we can be sure that P is a primitive element. Another element in this group is Q = (0,6). The index of Q with respect to P is the least positive integer d such that Q = dP. What is d, the index of Q?
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What is the expression given by this k-map.?