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We have developed several models that abstract applications as demand matrices and computer networks as supply matrices for minimizing the time to complete an application on a given computer by mapping.
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In this survey, we will show some connections between several mathematical problems such as extrapolation, linear systems, totally positive matrices and computer-aided geometric design, with elimination techniques as the common tool to deal with all of them.
Especially, the "data flow matrix" and computer-aided methods for the designing of an FMS control system are introduced.
Histochemical assays, including Alcian blue stain and picrosinus-polarizition method, are commonly used in the studies of the extracellular matrix, and computer-assisted imagine analysis system is usually imperative for a quantitative analysis of the imaging data.
His interplay between matrix theory and computer arithmetic led to the development of algorithms for computing accurate eigenvalues and singular values.
As he grew older he taught himself new theories and methods that seemed important (such as population genetics, matrix algebra, and computer programming).
Therefore, the model abstracting the application as a demand matrix and the computer as a network supply matrix can be designed with the objective function as minimum time to complete the application on the given computer.
The tools would then solve the matrices using computer algorithms to automatically calculate maximum yields of products and byproducts.
But public records and interviews with doctors and others familiar with Varian's equipment point to a complicated matrix of computer systems and communication flaws that made such an accident more likely to happen.
Some computer languages such as APL were designed to manipulate matrices, and various mathematical programs can be used to aid computing with matrices.
These studies can serve as a model for understanding the interaction of light with thermochromic powder embedded in polymer matrix and facilitate the computer-aided design of thermochromic film with high thermochromic efficiency.
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