On three-dimensional rotations, coordinate frames, and canonical forms for it all

Article Abstract:

A method is developed for describing a preferential coordinate frame in a three-dimensional rotation matrix of 48 frames defined by three fixed, mutually orthogonal lines intersecting at 0. This process has applications where preferential spacial orientations or coordinate transformations for defining material parameters need to be expressed. Labeling of frames and development of equivalence classes of frames are described. An optimal frame algorithm for the canonical form is developed.

Industrial research, Algorithms, Algorithm, Three dimensional graphics, Research and Development, Three-Dimensional Graphics, Matrix Computations, technical, Eigenvalue Problems

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Woman and nature

Article Abstract:

Nature is often cast as female because people understand they are tied to the natural world as intimately as a child to its mother. Human imagination can approach photographic images playfully, attempting to shape forms as it wishes. Nature has ultimate power over humans, and the only way to begin understanding the natural world is to see ourselves as belonging to a vast and complex system.

Psychological aspects, Portrayals, Photographs, Nature, Images, Photographic, Imagination

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Giving Russia the business: a Canadian-born venture capitalist is teaching former Soviet-bloc enterprises the meaning of the terms 'supply' and 'demand.' (Daniel Arbess)(The Capitalist)(Column)

Article Abstract:

Arbess is an venture capitalist who is turning the old-style Soviet production units into sleek modern business units. He seeks out privatized industries ignored by others. Many of the firms are in trouble both in management and in ethics. His successful strategies are described.

Management, Manufacturing industry, Manufacturing industries, Economic aspects, Column, Russia, Americans abroad, Americans in Russia, Arbess, Daniel

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