Ratio of product to difference - terminology?

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Discussion Overview

The discussion revolves around the search for a specific mathematical term that describes the expression formed by the product of two variables divided by their difference. The context includes mathematical terminology and its application in acoustics.

Discussion Character

  • Exploratory, Technical explanation

Main Points Raised

  • One participant asks if there is a specific mathematical term for the expression A * B / (A - B).
  • Another participant responds that they are not aware of any specific term and inquires about the origin of the expression.
  • A third participant suggests that the expression can be represented as the reciprocal of (1/B) - (1/A).
  • A later reply mentions that this expression is related to the "room constant" in acoustics, where S is the total surface area and A is the total absorption in sabins.
  • The reciprocal representation of the expression is reiterated as a valid form.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the existence of a specific term for the expression, and multiple viewpoints regarding its representation and application are presented.

Contextual Notes

The discussion includes references to specific applications in acoustics, but the limitations of terminology and definitions are not fully explored.

dgm
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Is there a specific mathematical term, which refers to this expression?

A * B
------
A - B
 
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hi dgm! :smile:
dgm said:
Is there a specific mathematical term, which refers to this expression?

A * B
------
A - B

not that i know of …

where did you come across this? :confused:​
 
It can be expressed as the reciprocal of (1/B)-(1/A).
 
tiny-tim said:
where did you come across this? :confused:

It's the form of an expression for the "room constant", a measurement in acoustics:

S*A
----
S-A

S is total surface area of a room, A is total absorption of a room in sabins.

eddybob123 said:
It can be expressed as the reciprocal of (1/B)-(1/A).

Nice one. Thanks.
 

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