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Many important problems in the analysis of neuroimages can be formulated as discovering the relationship between two sets of variables, a task for which linear techniques such as canonical correlation analysis (CCA) have been commonly used.
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These were formulated as concretely as possible.
The problem of discovering a frequent co-splicing cluster can be formulated as a discrete combinatorial optimization problem: among all patterns of fixed size (K1 member exons and K2 member networks), we look for the heaviest.
The problem there might be formulated as Dukakis being too Presidential.
The test for discrimination can be formulated as a "but for" question.
Mathematically, this optimization can be formulated as.
These can be formulated as follows.
Walras equilibrium may be formulated as follows.
The objective function can be formulated as.
Mathematically, it can be formulated as.
It can be formulated as follows.
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