# Tag Info

Accepted

...
• 15.6k
Accepted

### Why is the difference in the behavior of Solve?

Use Trace[Solve[...], TraceInternal -> True] to observe the difference between cases with Tan and ...
• 25.1k
Accepted

### Why is Mathematica showing a root twice from Reduce or Solve?

This is a bug. A subdivision method happens to subdivide very close to a root, and the same root gets found in both branches (due to numerical tolerance). The code was not checking for that, it will ...
• 3,510
Accepted

### The Poincaré Sections of Yang-Mills-Higgs System

I'm currently co-developing an interactive tool for extracting PoincarĂ© sections from Hamiltonian systems. I've got a preliminary version up and running, so feel free to use it. It's available on the ...

### All solutions that satisfy $x_{1}^{5}+x_{2}^{5}+x_{3}^{5}+x_{4}^{5}-x_{5}^{5}=0$

I am a bit surprised that not a Mathematica solution with a statement "I don't think Mathematica is suited for this kind of problem." is accepted. I do believe that Mathematica is well ...
• 18.4k

• 19.7k

### Why can't NSolve solve for the obvious zeros?

I could not find why NSolve fail. Could be a bug? I tried FunctionExpand but that did not help. As a workaround, use Solve? <...
• 144k
Accepted

### How can this equation with logarithms not be solved?

Add Reals. Reduce[{Log[a, b] + Log[b, a] == 5/2, a^b == b^a, a > 0, b > 0, t == a/b}, t, {a, b},Reals] ...
• 73k
Accepted

### What's wrong with a simple equation-solving task?

First of all the system works corectly while you make unjustified reductions. Expressions w - 1/(w (1 - e)) and z can be ...
• 57.3k

### How to draw the trajectory of the circumscribed rectangle of an ellipse and determine the area range of the rectangle?

The radius of the Monge circle is Sqrt[a^2 + b^2]. By the symmetric,one of the diogonal of the rectangle is pt and ...
• 73k

...
• 158k

### Projecting the stationary points of a function below its 3D Plot

Perhaps this is a starting point (assuming the OP code): ...
• 60.8k
Accepted

### How many real solutions does $a^{a^{a^x}}=b^{b^{b^x}}$ have?

Beginning with the equation eq = a^(a^(a^x)) == b^(b^(b^x)) set b -> a^c with c > 1. <...
• 61.5k

modified Try ...

### Basins of attraction using Newton-Raphson method for nonlinear system

The simplest way is to use FindRoot with option Method -> {"Newton", "StepControl" -> Automatic} and ...
• 44.7k
Accepted

### Finding the maximum of NDSolve's result

Try this: FindRoot[(D[T[t], t] /. s) == 0, {t, 20}] (* {t -> 17.9042} *) or this: ...
• 39.5k
Accepted

### Is there a way to divide associations by key?

a = <|A -> 2.02015, B -> 1.98025|>; b = <|B -> 0.538000, A -> 0.462000|>; Merge[{a, b}, Apply[Divide]]
• 28.2k
Accepted

### Getting a series expansion for implicitly defined function

Here's a step-by-step way to discover @Roman's first two terms: ...
• 236k
Accepted

### Minimize is returning unevaluated for a simple positive integer domain problem

You need to specify what you mean by "smallest solution". If it means that you want the smallest value of $x+y$, then you can do ...
• 47.5k