Which branch of mathematics is this?

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SUMMARY

The discussion centers on identifying the branch of mathematics relevant to the Taylor Rule, a formula used in monetary policy. Participants clarify that the notation in the equation, including the line over a number and the star in the exponent, can represent complex conjugates or statistical means. Ultimately, the consensus is that the equation does not belong to a specific branch of mathematics but rather applies to economic theory and monetary policy analysis.

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  • Basic comprehension of economic equations and their applications
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Students of economics, mathematicians interested in applied mathematics, and professionals in monetary policy analysis will benefit from this discussion.

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Homework Statement


Which branch of mathematics predominates in the equation below?


Homework Equations


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Source: http://en.wikipedia.org/wiki/Taylor_rule

The Attempt at a Solution



I know that a line over a number can mean either a statistical mean or a complex conjugate, and that a star in the exponent of a number is usually used to specify either a complex conjugate or delta x in Riemann sums.

Which is the case in this equation? I think that it's most likely complex conjugate notation, but I'm not sure. Oh, and the main question is: Which branch of mathematics predominates in this equation?
 
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In the wikipedia article that you link to, in the paragraph RIGHT below the equation, is a description of what EACH of the variables is.

As for "which branch of mathematics predominates this equation" it doesn't look like there is one, given this is an equation in MONETARY POLICY (again, this is ALL in the article you link).
 

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