New answers tagged evaluation
4
In the math.stackexchange post that you have linked, P. Teruo Nagasava shows that the integral can be reduced to two simpler ones:
$$I_1=\int_0^1 \frac{\log ^2(1+x) \log (x)}{x} \, dx,\\
I_2=\int_0^1 \frac{\log ^2(1-x) \log (x)}{x} \, dx.
$$
Both of them MA computes without any problems
i1=Integrate[Log[1 + x]^2 Log[x]/x, {x, 0, 1}]
$$I_1=-4 \text{Li}_4\big(...
10
First of all, it helps a great deal to define f as follows:
ClearAll[f]
A = Exp[M];
f[x_, y_] := (weight*Exp[-pts*x]).A.(weight*Exp[-pts*y]);
Here, using SetDelayed (:=) is better than Set (=), because the latter creates a humongous symbolic expression that is very expensive to numericise. Defining A first ensures that Exp[M] is computed only once.
First@...
1
The lack of ability to abort a running computation is Mma's greatest aggravation. After reading everyone's comments here, I still can't see why the kernel does not have a hardware watchdog timer that interrupts once/second to check for an Abort signal. It would slow everything down by 0.00001%; so what?
Anyway, here is my workaround: inside your deepest ...
1
I was able to find this workaround, I know not what it does.
In[1]:= Pause[3];(*abortable*)
Out[1]= $Aborted
In[2]:= Quiet@NotebookEvaluate@"abc";
In[3]:= Pause[3];(*unabortable*)
In[4]:= MathLink`LinkAddInterruptMessageHandler[$ParentLink]
In[5]:= Pause[3];(*Aborts are back!*)
Out[5]= $Aborted
4
Here are all the ways I can think of, the first two of which are the most concise and in my opinion the most Mathematica-l:
x = Replace[value, Null -> default], in a manner similar to @John Doty's comment above, which suggests x = value /. Null -> default; however, /. is ReplaceAll, and so will also replace any occurrences of Null anywhere inside the ...
0
To start the discussion on my own question... My basic understanding (or "what I think I understand") of these functions so far is as follows...
Function 1: TemplateEvaluate:
Causes the contents of its argument to be evaluated at the time TemplateApply is invoked, whether or not those contents are wrapped inside some function that has HoldFirst, ...
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