Questions about how Mathematica evaluates expressions, tracing evaluation (Trace*), handling expressions in unevaluated form (Hold*, Unevaluated), nonstandard evaluation, etc.

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4
votes
0answers
90 views

Simple arithmetic with Irrationals fails [closed]

While solving a simple puzzle that asked for a few calculations in plane geometry, I ended up with this expression: $-\frac{55}{2}+\frac{\sqrt{27233}}{2}+\frac{1}{2}(55-\sqrt{27233})$ Or, in ...
1
vote
1answer
41 views

Unpacking NumberForm expressions

Given a NumberForm expression, e.g.: NumberForm[N[Pi], 10] How does one get the underlying numerical expression (short of ...
1
vote
1answer
42 views

How to enable automatic “grammar check” for MMA? [duplicate]

The special evaluation mechanism of MMA might make it more likely for MMA users (especially new users) to make mistakes and more difficult to find them. For example, one may have defined a function ...
1
vote
1answer
133 views

Why isn't Mathematica reducing my result to a number? [closed]

I do not understad why the program do not show the number values. Even when I use N[xx]. How can I simplify this?
5
votes
3answers
75 views

StepMonitor won't display Plot

This example is from the documentation under Monitor ...
7
votes
1answer
278 views

NMinimize with NIntegrate (crash in symbolic evaluation, memory leak)

This is a "common" problem from what I've seen, but with a different spin. I have a function I use often that finds a fit of an expression to another expression with some free parameters (e.g. for ...
3
votes
3answers
211 views

How to make a defined symbol stay in symbol form?

How to make a defined symbol stay in symbol form? w = 3; g = 4; {w, g}[[2]] 3 I want the output to be ...
0
votes
0answers
42 views
1
vote
1answer
155 views

Printing intermediate calculations in an external file, while suppressing the output in the notebook

I'm trying to construct a text-file that contains all the operations that Mathematica performs when evaluating an expression. However, i'd like to suppress all output in the notebook in which I'm ...
2
votes
2answers
80 views

Singleton pattern

How can I implement the singleton pattern in Mathematica in order to ensure that a symbol is not redefined if it's already defined ? This can be useful for example with global variables in packages ...
4
votes
1answer
372 views

mathematica does not evaluate without internet access? [closed]

I am watching the video Hands-on Start to Mathematica Basic Graphics and for about 15 minutes I was trying to evaluate $\frac{\sin x}{x}$ and each time I encountered errors like: The result can ...
2
votes
2answers
382 views

Get the approximate analytical solution to an algebra equation

Is there a way to get the analytical form to the root of this equation: 2 A e (-ArcTanh[smax/s0] + ArcTanh[(smax Cos[w ζ])/s0]) == F0 ...
3
votes
1answer
62 views

How to evaluate an expression via `LinkWrite` when the expression is only known at runtime?

*** Here's the original post... I'm setting up a secondary kernel in sandbox mode with LinkLaunch, and need to pass various expressions to it for evaluation. These ...
7
votes
1answer
153 views

Why can't I abort main evaluation from ScheduledTasks (Service Link)?

FrontEndExecute[FrontEndToken["EvaluatorAbort"]] is equivalent of the menu item: Evaluation >> Abort. It works with ...
7
votes
1answer
142 views

How would one return from a place of a pure function's body using Return?

From previous answers, replies and discussions it is known, while not formally documented (even in the most recent Wolfram Language Documentation Center), that Return can be used in a two-argument ...
1
vote
1answer
105 views

Evaluate multiple notebooks sequentially and automatically

I know how to run multiple notebooks at once. But my problem is that due to the RAM capacity, I have to run these notebooks consecutively. Another problem is that since I may not be in my office all ...
0
votes
1answer
90 views

Special fractions generator

Note that 13/33, 1313 / 3333 , 131313 / 333333, ... They are always equivalent fractions Fraciones generate desire to have this property based arbitrary ...
5
votes
1answer
35 views

How could I set TimeConstrained globally?

I want to set TimeConstrained globally, I tried use $PrePrint as bellowed script: ...
1
vote
3answers
101 views

Keep leading/trailing zeroes (like Defer except with numbers) in a given number

I'm trying to write a function that counts the number of significant figures a given number has so I can ensure my calculations are rounded correctly; however, I am having a lot of trouble preventing ...
0
votes
0answers
140 views

How to determine how much time it will take to finish a cell expression?

I am trying to integrate a large matrix with elements that contain trigonometric expressions. The evaluation is taking a long time--4 days, and it is still running. Is there anything I can do to find ...
10
votes
1answer
447 views

A problem about the implementation of Bezier curve

I implemented the Bezier curve like built-in BezierCurve as follow: SplineDegree -> d specifies that the underlying ...
1
vote
1answer
49 views

problem about Root and Hypergeometric2F1

See these example, why does the output is different? ...
1
vote
0answers
40 views

Why does the same function defined by Set and SetDelayed look different? [duplicate]

I start with the following input: f[n_] = Sum[(1+x)^j, {j,1,n}]; g[n_] := Sum[(1+x)^j, {j,1,n}] When I try to evaluate the code above I get: ...
0
votes
1answer
192 views

Understanding output of multivariable integration

I'm new to Mathematica and I'm trying to integrate this function: ...
-2
votes
1answer
86 views

Why is my function returning 0 when when I try to give it arguments by replacement? [closed]

I tried running a function f with rules and calling it directly with arguments specified directly but the one with rules returns zero while the one with direct ...
3
votes
1answer
120 views

Strange integration

Bug introduced in 9.0 or earlier and fixed in 10.1 Note: Beginning with V10.1, this integral returns unevaluated but without error messages. I tried to evaluate this line ...
1
vote
1answer
55 views

How to achieve fun[Unevaluated[f][Unevaluated[x], Unevaluated[y]] in a more elegant way?

I have defined a function fun[f_[x_,y_]]. When I call it, I want to wrap everything by Unevaluated: ...
20
votes
1answer
633 views

Incorrect result from Integrate

Bug introduced in 8.0 and fixed in 10.0 I attempted to calculate the following integral: ...
6
votes
2answers
116 views

Force evaluation of the right-hand side of a local variable definition

One can do expression = a + 1; f[a_] := Evaluate[expression] but how would one do something like this ...
3
votes
1answer
62 views

SelectionEvaluate executes out of turn

I'm seeing some unexpected (to me) behavior from SelectionEvaluate. I've got a notebook with two sections. In section 2, I've got code that clears the notebook's ...
3
votes
2answers
149 views

Even with Evaluate[], Mathematica is plotting everything in the same color

The code evals[x_?NumericQ] := Eigenvalues[{{x^2, 2 x}, {x, 3 x^2}}]; Plot[Evaluate[evals[x]], {x, -1, 1}] gives both eigenvalues in the same color. I thought ...
15
votes
2answers
1k views

What happens when you divide by ##?

I've been playing around with sequences a bit. In particular with using ## with unary and binary operators. Let's start simple, the following all make some kind of ...
7
votes
2answers
110 views

Cannot Block Plus

It is customary to use the following idiom to partially evaluate something inside a held expression: ...
14
votes
4answers
2k views

All curves in plot have the same style. Cannot be fixed with Evaluate[]

Usually, when I plot multiple curves in Mathematica Plot[{x,x^2,x^3},{x,0,1}] they are given different colors. However, if I try to construct a list inside the ...
3
votes
1answer
402 views

Summation of If statements

The following made me curious. Suppose you want to sum the if statement If[x[i] < 1., x[i]^2, 0.] over i=1,2, i.e. ...
7
votes
2answers
139 views
3
votes
2answers
179 views

Optimize evaluation time for a Quantum Walk simulation

Here's the problem. I'm trying to simulate a noisy Quantum Walk to obtain results similar to these, experimentally obtained. I wrote my code, and I get results which are in accordance to what I ...
9
votes
1answer
181 views

Comparing exact expressions for equality — is it really OK if I get wrong answer?

Bug introduced in 7.0 or earlier and fixed in 10.2.0 I found an unexpected behavior (that I think of as a bug) in evaluation of the equality operator applied to mathematical functions with exact ...
6
votes
2answers
261 views

How do I “evaluate in place” programmatically? Need to evaluate Defer[] result in non-interactive setting

I need to evaluate the result returned from an external package, which contains Defer in it, but do this in a script without user interaction. I am not able to ...
21
votes
7answers
760 views

Elegant high precision `log1p`?

Sometimes it is hard to understand how numerical expressions are evaluated. I remember reading claims by Wolfram on how smart the Kernel is to evaluate expressions trees numerically by recognizing ...
8
votes
2answers
321 views

Unexpected behavior of rule matching a pattern

I am a beginner exploring the world of Mathematica. I expected the following code T[6, 5, 4, 1, 2, 3] /. {T[a___, 1, b___] -> Length[List[b]]} should return ...
4
votes
5answers
164 views

Using Through with SlotSequence

I have an expression consisting of a few pure functions added together like so: f+g+h I want to add the bodies of these functions together and make that a pure ...
3
votes
1answer
105 views
7
votes
1answer
130 views

Unevaluated @ {args} versus Unevaluated /@ {args}

Working my way through Robby Villegas's lovely notes on withholding evaluation, I almost got Polish Notation on my first try. Here is my final solution, which seems to work well enough: ...
1
vote
0answers
19 views
2
votes
1answer
71 views

Non-autonomous Dynamical system Sliding mode controller Error

This code is a simulation of a sliding mode controller of a non-autonomous dynamic. When I use ArcTan in input, I receive an error. ...
4
votes
2answers
135 views

Simplifying expression with non-commutating entries

Say I have an expression such as (a + X)**(b-Y) where the variables above possess the following commutation relations [a, b] = [a, X] = [a, Y] = [b, X] = [b, Y] ...
3
votes
0answers
54 views

Why does FreeQ seem not to work with complex numbers?

I guess I do not understand how Mathematica evaluates this simple expression inside FreeQ ...
2
votes
1answer
88 views

Return the incomming expression on false

when I have an expression, that is unknown to mathematica, it is returned exactly the same, as it was called. For example SeeFlyingPigs[1,2] called on the line ...