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Moreover, when their relative position errors in the z-axis direction are sufficiently smaller than their relative position errors in the x y plane, the problem reduces to the following two-dimensional problem.
Using PUPs to interpolate among data values distributed through the plane, the problem of texture synthesis can be approached from the perspective of point placement and attribute assignment; a graph over the points, such as the Delaunay triangulation, allows us to apply attributes or labels to the nodes in a structured way.
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With the inclined plane, the problems stemmed from a mis-calculation.
For most of the affected planes, the problem added 20 or 30 minutes to their flight times, but no planes declared fuel emergencies, Mr. McDonough said.
"The plane is the problem," explained David.
The Portuguese air safety agency has released only limited information, but people familiar with the plane say the problem in this case appears to have been the use of a fuel line that connects tanks in the two wings.
Light waves in water are partially polarized (vibrating in a single plane), making the problem of ocean camouflage even more complicated.
After the repairs, another pilot used the plane and the problem recurred.
One question arising from the three air disasters is simple: at a time when components can "talk" and weapons have amazing speed, power and ability to kill, why couldn't technology prevent ice crystals from forming in an airliner's engines or even lead the plane around the problem thunderstorm?
Mapmakers' approaches to projecting our spherical planet onto a manageable 2D plane represent the problems of their times.
The former provides the solution of the corresponding plane notch problem, the latter provides the solution of the corresponding out-of-plane shear notch problem.
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