What is the Formula for the Harmonic Curve?

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Discussion Overview

The discussion revolves around identifying a formula referred to as the "harmonic curve," which is described as starting at the point (1,1) and approaching both the x-axis and y-axis without ever reaching them. The context appears to be conceptual, focusing on mathematical definitions and properties.

Discussion Character

  • Conceptual clarification, Debate/contested

Main Points Raised

  • One participant describes the harmonic curve as starting at (1,1) and approaching the axes but never touching them.
  • Another participant suggests that the formula might be y=1/x.
  • A third participant reiterates the description of the harmonic curve and proposes y=1/x as a possible formula.
  • A fourth participant connects the discussion to the "harmonic series" of 1/n, implying a relationship between the series and the curve.

Areas of Agreement / Disagreement

Participants have not reached a consensus on the exact formula for the harmonic curve, with multiple suggestions and interpretations presented.

Contextual Notes

There may be limitations in the definitions of the harmonic curve and its relationship to the harmonic series, as well as the assumptions underlying the proposed formulas.

gaelhouse
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I am trying to recall the formula that I call the harmonic curve, that gives the curve that begins at 1 on an x and y-axis where x & y equal 1 and then for every posting therafter:rolleyes: , the curve approaches each axis but never reaches the axis. Anyone know the forumula that will produce this result:rolleyes:
 
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Are you thinking of y=1/x?
 
gaelhouse said:
I am trying to recall the formula that I call the harmonic curve, that gives the curve that begins at 1 on an x and y-axis where x & y equal 1 and then for every posting therafter:rolleyes: , the curve approaches each axis but never reaches the axis. Anyone know the forumula that will produce this result:rolleyes:

y = 1/x maybe?
 
I think he must be, seeing as there is the "harmonic series" of 1/n.
 

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