منابع مشابه
MATHEMATICAL ENGINEERING TECHNICAL REPORTS Properties of Semi-Elementary Imsets as Sums of Elementary Imsets
We study properties of semi-elementary imsets and elementary imsets introduced by Studený [10]. The rules of the semi-graphoid axiom (decomposition, weak union and contraction) for conditional independence statements can be translated into a simple identity among three semi-elementary imsets. By recursively applying the identity, any semi-elementary imset can be written as a sum of elementary i...
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Computations with a future quantum computer will be implemented through the operations by elementary quantum gates. It is now well known that the collection of 1-bit and 2-bit quantum gates are universal for quantum computation, i.e., any n-bit unitary operation can be carried out by concatenations of 1-bit and 2-bit elementary quantum gates. Three contemporary quantum devices–cavity QED, ion t...
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This article explores how elementary teachers can use functional thinking to build algebraic reasoning into curriculum and instruction. In particular, we examine how children think about functions and how instructional materials and school activities can be extended to support students’ functional thinking. Data are taken from a five-year research and professional development project conducted ...
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What are the processes by which we construct mathematical concepts? What is the nature of the cognitive entities constructed in this process? Based on the theories of cognitive construction developed by Piaget for younger children, Dubinsky proposed APOS theory to describe how act ions become interiorized into processes and then encapsulated as mental objects, which take their place in more sop...
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Mathematical Morphology (MM) studies the representation of image operators in terms of some families of simple operators, called the elementary operators of MM. A drawback of this approach is that the representation of some operators is not efficient, since it uses a large number of elementary operators. Fast algorithms are the solution found by some authors to implement image operators that ha...
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ژورنال
عنوان ژورنال: The American Mathematical Monthly
سال: 1918
ISSN: 0002-9890
DOI: 10.2307/2972872