How to convert a hyperbolic system to cartesian?

Bruno Tolentino
Messages
96
Reaction score
0

Attachments

  • C2.png
    C2.png
    29.9 KB · Views: 1,003
Mathematics news on Phys.org
Are you trying to solve for u and v in terms of x and y?
 
No! The oposite this! I'm trying to solve for x and y in terms of u and v!
 
Bruno Tolentino said:
No! The oposite this! I'm trying to solve for x and y in terms of u and v!
That's exactly what you already have:
x = a exp(+u) cosh(v)
y = b exp(-u) sinh(v)
 
But I want to express x and y only in terms of u and v, only! I don't know what's the coefficients a and b in terms of u and v...
 
No more answers?
 

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

I How did mathematicians discover the expressions of hyperbolic functions?
Replies
1
Views
1K
Comparing Hyperbolic and Cartesian Trig Properties
Replies
1
Views
1K
B Invariant under rotation: Banal, obvious, or noteworthy?
Replies
2
Views
2K
B Understanding Polar and Cartesian Graphs: Comparing Two Coordinate Systems
Replies
4
Views
2K
B Reprise: Calculate the distance between two points without using a coordinate system
Replies
1
Views
2K
B Video: Mathologer on visual logarithms (and hyperbolic trig)
Replies
13
Views
1K
B To calculate the polar unit vectors using rotated coordinates
Replies
1
Views
2K
A Converting this vector into polar form
Replies
4
Views
2K
Is There a Simpler Way to Express Hyperbolic Coordinates in Terms of x and y?
Replies
1
Views
4K
I Deriving maximum velocity in a rotated frame
Replies
4
Views
1K

Hot Threads

Recent Insights

Back
Top