Collections of operators or matrices

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Science is the engine that drives technology. Breakthroughs in basic science often lead to new technologies. Mathematics is the framework that supports most science. Without the structured form imposed by mathematics, it is extremely difficult to understand complicated phenomena. Applied mathematics is the study of mathematical questions that arise from consideration of some scientific phenomena. Science advances so fast that the time lag between posing the mathematical questions that arise from science until the time when sophisticated mathematical solutions can be applied to science is often the major factor slowing the advancement of knowledge. One solution to this dilemma is to have mathematics ready when the need arises. This is one justification of the need to research and fund pure mathematics.