How Are Logarithms Applied in Physics?

  • Thread starter Thread starter TheShapeOfTime
  • Start date Start date
  • Tags Tags
    Logarithms
TheShapeOfTime
What are logarithms used for?
 
Mathematics news on Phys.org
If u have plotted logarithm at any point of time , u might have noticed that it grows very slowly ...
This property of log is extensively utilised ...
Any dense set of values when plotted with their logarithm spread out ...
This technique is used during imaging of the "fourier transform of an image"
also in many signal analysis ... like frequency analysis or power spectrum analysis ...

-- AI
 
The inverse function to an exponential function, f(x)= ax, is the logarithm, f-1(x)= loga(x).

logarithms are used to solve equations in exponentials:

If 3x= 30, then x= log3[/sup](30) which, since your calcuator does not have a "log3" key, is the same as (log1030)/(log103) or (ln 30)/(ln 3).
 
At physics, the logarithm in base e is the most used, since the integral of dx/x is that.
 

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 'Fermat's Last Theorem'

Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
View full post »

Thread 'Useless continued fraction for 1'

I'm interested to know whether the equation $$1 = 2 - \frac{1}{2 - \frac{1}{2 - \cdots}}$$ is true or not. It can be shown easily that if the continued fraction converges, it cannot converge to anything else than 1. It seems that if the continued fraction converges, the convergence is very slow. The apparent slowness of the convergence makes it difficult to estimate the presence of true convergence numerically. At the moment I don't know whether this converges or not.
View full post »

Similar threads

A Even with a whimsical mathematical usage, solutions are obtained!
Replies
5
Views
1K
B How to express ##3^{\sqrt(2)}## in terms of natural logarithms
Replies
10
Views
1K
MHB Rewrite in logarithmic form: e^(-1) = c
Replies
3
Views
3K
I Transforming an equation with logarithms
Replies
2
Views
985
B Why is pH a negative logarithm?
Replies
5
Views
4K
B How does one draw a logarithmic scale?
Replies
20
Views
4K
B Characteristics of the parent logarithmic function
Replies
4
Views
2K
B Issue With Algebra of Logarithms
Replies
8
Views
1K
I Logarithmic scale - interpolation
Replies
2
Views
13K
I Need help understanding base-10 number format please
Replies
2
Views
1K

Hot Threads

Recent Insights

Back
Top