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Half-space Method
Solid representation is based fundamentally on the notion that a physical object divides an n-dimensional space En into two regions: interior and exterior, separated by object boundaries. In terms of above notion, a solid model of an object is defined mathematically as a point set S in 3-D Euclidean space (E3).
Suppose a surface divides the whole of three-dimensional space into two distinct regions. Each such region is called a "half-space". This does NOT imply that they are equal in volume. One possible surface is the sphere denoted by the equation
X * X + Y * Y + Z * Z = 1
Consider a trapezoidal channel with a bottom width of 4 m, side slopes of 3:1 (H:V), and a bottom slope of 0.002 that carries 50 cms. The channel has a Manning's roughness of 0.034
procedure to find resultant of several forces acting at a point
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The first successful numerical machine tool was developed at MIT in the year:
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corrosion in boilers is prevented or minimized by maintaining of boiler water
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