Questions tagged [built-in-symbols]

Questions related to handling built-in symbols and functions, for example why they behave a certain (possibly unexpected) way.

28 questions with no upvoted or accepted answers
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Built-in symbols which are more close to the root/core of Wolfram Language

Seeing the vast scope of science covered by the Wolfram Language (WL) and the large amount of built-in symbols (functions), I am curious to know which built-in symbols are more close to the root of WL,...
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137 views

Not comprehending PowerMod

Bug introduced in 10.3 or earlier and persisting through 11.3.0 or later The bug is not present in 10.0. By definition, PowerMod[a, 1/r, m] finds a modular rth root of a mod m. Here's a pair of ...
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62 views

Why ReadList ignores NullRecords for Number?

When thinking on this recent question the immediately obvious solution which came to my mind was to use ReadList with options ...
5
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293 views

Organizing Wolfram language symbols with Entity

Here's a word cloud tally of the ~5k System names split at camel humps, with the long tail cropped. What resources are available to organize these terms using the new ...
4
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0answers
192 views

Crossing a symbol like p, similar to HBAR

Is it possible in Mathematica to cross a symbol like p, similar to h-bar, used to denote the Planck constant? Picture in case of font problems: In case of h, we have HBAR, inputted as ESC-hb-ESC ...
3
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0answers
39 views

What built-in functions have bad time/space complexity and their alternatives?

It's surprising that Join is $\mathcal{O}(n)$ (due to copy) while I've been using it as a convenient way to join lists together. It also reminds me of suggestions ...
3
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0answers
74 views

PowerModList anomaly

This post is related to Not comprehending PowerMod. Here the issue is that PowerModList, in v. 12.1 finds no cube roots of 1 Mod 10^60 - 1: ...
3
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80 views

Use of ContainsAny in EntityClass

The documentation page for EntityClass states that Property values in implicitly defined entity classes may make use of Quantity (and intervals of Quantity) for ...
3
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0answers
51 views

Custom iterable objects

I understand that to create objects with custom behavior with respect to existing code one uses upvalues. However, I'm at loss when it comes to guess what interface is expected from objects fed to ...
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55 views

Who Defines Symbol \$MySource

When I start up a fresh executing Mathematica on my MacOS system and I open a Notebook file there is always one symbol defined in the Global context. This symbol is \$MySource and it points (via a ...
2
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0answers
54 views

How to override a built-in Mathematica function using its old version?

How can we override a Mathematica built-in function using itself in the definition? For example, the DiracDelta function is not defined for complex numbers like: <...
2
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42 views

How to Return All Mathematica Functions in a Domain

We know that Names["System*"] and WolframLanguageData[] both return the list of all System or "native" functions. Is there a ...
2
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0answers
34 views

Pattern matching and NonCommutativeMultiply

I am trying to define some functions using NonCommutativeMultiply and I am experiencing some strange behavior. Consider the following expression ...
2
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76 views

Error Message for GrammarRules and GrammarApply

I have been struggling with the following issue regarding an irregularity when deploying and applying GrammarRules. Specifically, it often takes several failed attempts before the execution is ...
2
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0answers
69 views

Built-in functions for Homotopy group

Does Mathematica have built-in functions for Homotopy group, for example for computing $$\pi_n(S^m)=?$$ or more generally $n$-th homotopy group, $$\pi_n(X)=?$$ for some $X$. (I search, but I could ...
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60 views

How would you rewrite these procedurally coded internal routines in functional form?

I came across the following two internal functions SimplifyDump`AbsToSign and SimplifyDump`SignToAbs that have been written ...
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68 views

How to figure out syntax for symbols?

I'm new to Mathematica and am having a hard time figuring out how to type certain symbols when I read the documentation. For example, in https://reference.wolfram.com/language/ref/...
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60 views

Wigner-D in MMA

Can some nice MMA fellow explain to me why buit-in Wigner-D function is defined as $D_{mm'}^{J} = e^{i(\phi m+ \gamma m')} d_{mm'}^{j}(\theta)$ against the convention, used by most people on Earth, ...
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87 views

Controlling precision/accuracy inside built-in commands

Some functions (such as Erf) appear to use NIntegrate internally. In such cases, is there a way to control such options of ...
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0answers
52 views

How to run the command 'Distribute' on large product of multivariable polynomials without simplifying it

I am new to Mathematica, so pardon if question is trivial. I am trying to expand (i.e multiply out the factors) an polynomial expression $d$, with many factors, obtained as a result of taking ...
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58 views

How to convert `LogTicks[0, 2][[1, 2]]` to a regular number

I want to convert the $10^i$ tick labels generated by LogTicks of the CustomTicks package to regular numbers. The first tick ...
1
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0answers
342 views

Two issues about Underline(d)

From the Help Browser Style["abcd xyz", FontVariations -> {"Underline" -> True}] abcd xyz The text is NOT Underlined, contrary to the online version Also ...
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58 views

Upgrade a built-in function: Nearest (mimic the behavior of V. 10.1 in previous versions)

For versions prior to 10.1 the following returns a error message timedat = {1.1, 2, 3.3}; equalTime = {1, 2, 3}; Flatten@Nearest[timedat, equalTime] Nearest::...
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48 views

Avoiding Tables, Do and other loop construction

In my work I have a lot of cases, where I should calculate non-listable functions for a quite large number of points. To be more concrete, consider first listable function ...
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35 views

After execution of simple list manipulation every expression turns dark blue and nothing is defined - how to debug

This question is related to this one in the sense that it uses the code from there. What happens is best illustrated in the video here. When I run (* part 1 *) ...
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69 views
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45 views

How can I simplify expressions correctly?

the final output of my code gives this expression which i call ttt: ...
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56 views

built-in functions with one argument

I want to find the (NumericFunction) built-in functions that take exactly one document. ...