Ratio of product to difference - terminology?

AI Thread Summary
The discussion centers on the search for a specific mathematical term related to the expression A * B / (A - B). Participants note that this expression can be represented as the reciprocal of (1/B) - (1/A). It is identified as a form used in acoustics to calculate the "room constant," where S represents the total surface area and A denotes total absorption in sabins. The conversation highlights the connection between mathematical expressions and their applications in real-world scenarios like acoustics. Overall, the thread emphasizes the importance of terminology in mathematical expressions.
dgm
Messages
9
Reaction score
0
Is there a specific mathematical term, which refers to this expression?

A * B
------
A - B
 
Mathematics news on Phys.org
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.
 
Thread 'Video on imaginary numbers and some queries'

Thread 'Video on imaginary numbers and some queries'

Hi, I was watching the following video. I found some points confusing. Could you please help me to understand the gaps? Thanks, in advance! Question 1: Around 4:22, the video says the following. So for those mathematicians, negative numbers didn't exist. You could subtract, that is find the difference between two positive quantities, but you couldn't have a negative answer or negative coefficients. Mathematicians were so averse to negative numbers that there was no single quadratic...
View full post »

Thread 'What Exactly is Dirac’s Delta Function? - Insight'

Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
View full post »
Thread 'Unit Circle Double Angle Derivations'

Thread 'Unit Circle Double Angle Derivations'

Here I made a terrible mistake of assuming this to be an equilateral triangle and set 2sinx=1 => x=pi/6. Although this did derive the double angle formulas it also led into a terrible mess trying to find all the combinations of sides. I must have been tired and just assumed 6x=180 and 2sinx=1. By that time, I was so mindset that I nearly scolded a person for even saying 90-x. I wonder if this is a case of biased observation that seeks to dis credit me like Jesus of Nazareth since in reality...
View full post »

Similar threads

B Understanding the relationship between ratios and fractions
Replies
8
Views
2K
I Modern vs Euclid's definition of equivalent ratios
Replies
4
Views
2K
B How do equivalent ratios work in practical terms?
Replies
20
Views
2K
I Is e^pi a unique transcendental, or perhaps not transcendental?
Replies
1
Views
2K
I Why the different terminology: Sequence versus Series?
Replies
11
Views
2K
Terms in a geometric mean equation
Replies
2
Views
2K
B What does 2:3 ratio mean? What does it show?
Replies
9
Views
3K
I Terminology: equation collapse
Replies
11
Views
3K
B Sequence formula needed - Keyword --> annuity
Replies
10
Views
2K
I Terminologies used to describe tensor product of vector spaces
Replies
7
Views
3K

Hot Threads

Recent Insights

Back
Top