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### How to prove the inequality $abc(a+b+c)^2≤(a^3+b^3+c^3)(ab+bc+ca)$? [closed]

I need to prove something like that: For a,b,c>0 prove: $abc(a+b+c)^2≤(a^3+b^3+c^3)(ab+bc+ca)$. I know that $3abc≤(a^3+b^3+c^3)$, but then I derived $3(ab+bc+ca) ≤ (a+b+c)^2$, I can't move on. Can ...
34 views

### Frame around text or MaTeX? [duplicate]

This seems like it should be easy, but I can't figure out how to do it or any documentation of it. How does one add a frame (not an outline, but a frame) around Text...
49 views

### Using a list inside NDSolve

I have a coupled differential eqations: ...
168 views

### Why Mathematica gives wrong eigenvalues for this equation?

Here is an eigenvalue problem in cylindrical coordinate: $$\mu(r)\frac{\partial}{\partial r} \left( \frac{1}{\mu(r)}\frac{1}{r}\frac{\partial (ru)}{\partial r} \right)=-p^2u$$ where p is the required ...
21 views

### Doubt regarding the creation of a symbolic 2nd rank symmetric tensor in Mathematica

I would like to ask the following: In a previous post it was asked how to create a 2nd-order symbolic tensor in Mathematica. Given the following notation ...
191 views

### Continued fraction expansion of a rational function

Maybe I'm missing something, but what would be a good way to calculate the continued fraction expansion of a rational function $Z(s) = N(s)/D(s)$? The built-in function ...
159 views

### How can I ingest and analyze benchmark results posted at MSE?

How can I ingest Mathematica / WL benchmark results posted at Mathematica Stack Exchange (MSE), like the ones posted here? Assumptions: There are multiple answers with benchmarks posted The ...
155 views

### Fitting model to data

I have been trying to adapt some of the previous suggestions on other questions similar to my problem but I haven´t been able to solve my problem so far. Best wishes
302 views

### Benchmarking with Mathematica v.12 for up to date comparison across different machines

I am planning to purchase a new computer especially to use for Mathematica programming purposes. Currently, I have MMA v.11. Could someone with Mathematica v.12 run the following benchmarking and ...
66 views

### How do I see output for intermediate steps in a program? [closed]

I understand Mathematica programs to be a series of steps enclosed in simple parentheses. Each 'step' ends in a semicolon except for the last. The program output is then the output of the last step ...
41 views

### Memoization Involving More than one Variable [duplicate]

Good morning. I would like to know if there is a way to implement memoization if there is more than one variable involved in the memoization; or more accurately, for my problem, have the memoization ...
37 views

### Changing axes units

I have plotted a graph in mathematica, where the x axis is in seconds. I want to scale the axis so it displays years instead. My plotting function is as follows: ...
28 views