Need something solving PROBLEM AHOY

  • Thread starter Thread starter SolStis
  • Start date Start date
AI Thread Summary
The user seeks assistance with an algebraic equation involving exponentials, specifically rearranging the equation 1 = -((e^ZL) + (e^Zw)) for Z. It is noted that there is no closed-form solution for Z when L and w are arbitrary. However, if L and w are specific values, such as L = 3500 and w = 24, the problem can be approached differently. The discussion emphasizes the challenge of finding a general solution while also addressing the complexities of working with real and complex numbers. Ultimately, the user is looking for a method to solve the equation for various values of L and w.
SolStis
Messages
10
Reaction score
0
Need something solving! PROBLEM AHOY!

Hi there,

Im in dire need of a problem solving because i really cba to do it at this time of nite and need sorting by 2moz morning... putting my faith in PF here... I don't think its too diff I just havnt done any algebra for a while and need some assistance.

Need this rearranging for Z:

1=-((e^ZL)+(e^Zw))

Any help much appreciated!


Regards

Sol
 
Mathematics news on Phys.org


If L and w are arbitrary (assuming multiplying Z in the exponents) there is no closed form solution for Z.
 


ok mate, well is there any way i can find it if L and W arnt arbitrary?
 


In real numbers, the problem is immediate: no linear combination of powers of e will ever equal -1.

In complex numbers, L = W would make things a lot simpler, but that's trivial...
 


Ok, well in this instance i need it solving for w = 24 and L = 3500, but i would like a general solution so i can apply any values for L and w
 

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 'Imaginary Pythagorus'

Thread 'Imaginary Pythagorus'

I posted this in the Lame Math thread, but it's got me thinking. Is there any validity to this? Or is it really just a mathematical trick? Naively, I see that i2 + plus 12 does equal zero2. But does this have a meaning? I know one can treat the imaginary number line as just another axis like the reals, but does that mean this does represent a triangle in the complex plane with a hypotenuse of length zero? Ibix offered a rendering of the diagram using what I assume is matrix* notation...
View full post »

Similar threads

A Help needed with derivation: solving a complex double integral
Replies
1
Views
2K
MHB Need help solving exponential problem
Replies
4
Views
2K
What am I doing wrong while solving problems?
Replies
11
Views
2K
B Sign conventions in torque and non-uniform circular motion
Replies
1
Views
1K
Need a refresher: 1st order linear diff eq
Replies
3
Views
2K
Current flowing through resistor in RLC circuit (C in parallel with L)
Replies
19
Views
3K
Problem while playing with Bessel functions
Replies
3
Views
1K
Can you help me solve for arcsin(2) with complex numbers?
Replies
2
Views
2K
I Solve Coin Sum Problem: Find Combinations for 200p
Replies
13
Views
2K
Other Relearning Math: Comparing Resources for the Best Learning Experience
Replies
38
Views
10K

Hot Threads

Recent Insights

Back
Top