Solving Equations with xy-yx = 1

  • Thread starter Thread starter Lonewolf
  • Start date Start date
  • Tags Tags
    Solving equations
AI Thread Summary
The equation xy - yx = 1 poses challenges for analytical solutions, leading many to suggest numerical methods using software like Mathematica or MATLAB. Historically, this equation has puzzled mathematicians for over 150 years, with recent advancements finally providing clarity. The discussion highlights the difficulty in finding a straightforward analytical method, suggesting that the solutions may be complex. Participants express frustration over the lack of accessible information on the equation's classification. For further details, resources like Wolfram may offer insights into its solutions.
Lonewolf
Messages
329
Reaction score
1
How can we solve an equation such as xy-yx = 1 without guessing?
 
Mathematics news on Phys.org
I'd solve that equation numerically, using mathematica or matlab.
 
Last edited:
Is there no analytical method? Or is it just horrendously complicated?
 
This question was asked about 150 years ago.
It was only answered recently.
You can find more about its solution somewhere on Wolfram .
 
I can't find anything on it. Does anyone know what the class of equation is called?
 
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

I How to see that cos(z) is unbounded, but cos(xy)+isin(xy) is bounded?
Replies
8
Views
1K
Can the Algebra Theorem Prove That xy = yx in Group G?
Replies
13
Views
3K
MHB Solving System of Equations: xy, yz, zx
Replies
3
Views
1K
B Adding 'x' to 'xy' for Resultant <=1: A Table Guide
Replies
18
Views
2K
MHB What is the range and inverse of the function y = 1/x?
Replies
3
Views
1K
Solving Implicit Equations for y in Terms of x
Replies
3
Views
2K
MHB Solving System of Equalities: x^2-y\sqrt xy & y^2-x\sqrt xy =3
Replies
2
Views
1K
MHB Solve System of Equalities: x^2+xy+y^2, x^2+xz+z^2, y^2+yz+z^2
Replies
7
Views
1K
MHB Positive Integer Solutions of $(x^2+y^2)^n=(xy)^{2014}$
Replies
2
Views
2K
MHB What is the Unique Linear Functional in $M_n(\Bbb F)$ Satisfying Two Conditions?
Replies
1
Views
3K

Hot Threads

Recent Insights

Back
Top