@M.R. you can probably use WolframLanguageData

Otherwise use Documentation`ResolveLink to find the doc pages for every function in the system context and use something like this to pull all of the cell groups:

pullOptionsCells[file_] :=

 Module[{nb = NotebookTools`FlattenCellGroups@Get@file},
  FirstCase[nb,
   {
     ___,
     Cell[_?(MemberQ[#, "Options", \[Infinity]] &),
      "ExampleSection", ___],
     args___,
     Cell[_, "ExampleSection" | "SeeAlsoSection", ___],
     ___
     } :> {args},
   None,
   \[Infinity]
   ]
  ]

Following up on that you can get the string names like this:

pullCellOptionNames[cells_] :=
 Cases[
  cells,
  c : Cell[_, "ExampleSubsection", ___] :>
   StringTrim@
    First@FrontEndExecute@
      ExportPacket[DeleteCases[c, _Cell, \[Infinity]], "PlainText"]
  ]

pullCellOptionNames@
 pullOptionsCells@Documentation`ResolveLink["Solve"]

{"Cubics", "GeneratedParameters", "InverseFunctions", \
"MaxExtraConditions", "Method", "Modulus", "Quartics", \
"VerifySolutions", "WorkingPrecision"}

WolframLanguageData doesn't have any suboption documentation

But I'll try this out

thanks @b3m2a1

@C.E. Ahh, now I understand why it looks so much like one made with Mathematica :). FWIW, how did you place the map images? I used a very clumsy approach with clipping an image made of MatrixForm and a SparseArray.

Two things I have forgotten about Mathematica but I used to know:

1. Sometimes when you evaluate code to generate a plot the output below the input is not overwritten. Instead a new output cell is generated. What is the option to prevent this???

2. Sometimes subscripted strings render as "(\!)*SubscriptBox..." when shared with a Windows user. I thought I remembered an option from a long time ago to prevent this occurring (???). It is so rare for me I have even forgotten what that form is called. But it happened today and I could not figure out the solution and because I could not remember the name of this Form didn;t know what to search for in MSE

@MikeHoneychurch Ad 1) CellAutoOverwrite? Ad 2) Do you mean that this appears on Windows for some notebooks created on Mac?

@bobthechemist The flags are polygons with flag textures. I made one list of entities for the f-block elements and one list for all the others. The position of the ones not in the f-block is determined by getting their group and period from the entities and applying the formula {wgroup, -hperiod}, taking care to negate the y-value so that it runs downwards. The positions of the elements in the f-block were determined by an offset plus {wj, -hi} where (i, j) is the matrix position of the element.

It's a bit unclear to me what use the mathematica-online tag is. It seems a lot like users attach it to questions where the actual meat of the question has nothing to do with Mathematica Online...

@CarlLange Remove it then. First-time posters often add a selection of random irrelevant tags

Or maybe he actually uses M Online, even though the question is not specific to that

I see there are so many of those that it's next to impossible to remove them now

@CarlLange I removed that tag from several questions. Most were low-quality questions by first-time posters with many irrelevant tags.

The names used for WRI's online products are confusing (Mathematica Online, Development Platform, Wolfram Cloud, etc.) and I think no one is sure about what each one is, what the differences are, etc. Thus I won't create the tag wiki.

No worries, I was just thinking aloud. The only case where I see it being really useful is where the behaviour in the cloud is different from the behaviour locally (where are files exported and so on)

Or things relating to the online front end, which is very different from the desktop front end, and much less capable.

E.g., how do I type formulas in a text cell?

Right, that's true

I feel sure that it would be possible to Classify tags for any given post ;)

I'd appreciate opinion on comments I left in: mathematica.stackexchange.com/q/189963/5478

OP is repeatedly asking unclear questions about implementations of built-in functions. I find them 50% interesting and 50% confusing and I am tempted to close each one that was not answered as 'unclear'.

Yes, I noticed the pattern of questions as well

I feel a little like they're homework

I think your comments are extremely balanced and reasonable @Kuba

When I checked this user earlier, it wasn't a named user and there were only four or five questions, but all the exact same nature. Is this one of those SO things where a user has been merged?

Ah, or perhaps I am just misremembering

@Nasser Hi. Look at this please:

image.slidesharecdn.com/…

@Kevin let step back a little. I do not like to just plug in formulas. Let go back to the derivation. You agree that equation (4) is correct? From that we set t=0 to get (5). Are we on same page so far?

yes Equation 4 and 5 are completely correct

Ok. Good. Now, we need to find B0, B1 and B_n from that equation. Right? From n=0, we get B0 as -Pi/6. Ok so far?

The problem is the integral interval! Why your interval is [0,pi] instead of [-pi, +pi]?

To find B1. we multiply both sides by cos(x) and integrate each term from 0 to Pi.

it is 0..Pi because the domain is 0 to pi !

Oh sorry! your right!

Yes and next?

Forget that Fourier exist. This is just math. We integrate from 0..Pi. that is all. When n=1, we should be B1. But it comes out to be zero. It should be 2/Pi for correct solution. I need to find out why

The correct solution should have 2/Pi in there. I just need to find out why it is missing now. And I am so far not seeing why that is.

@CarlLange thanks for feedback. I am not sure, his history looks normal.

@Nasser You're Great Nasser! Thank you very much

@Kevin if you spot the error, please let me know. it is the step for finding B1. This is very strange. As the integration is all correct. 2/Pi must be coming from somewhere else but I do not see it so far.

Of course I will. Using mathematica, B0 is 2/pi - pi/6 and B1 is zero

B1 is Zero the same as your solution.

@Kevin humm.... that will fix it! But I get B0= -Pi/6 ! THat must be it. this will bring the 2/Pi back in. Let me look why I am getting -Pi/6 for B0 and you are not....

on the LHS of your first integral, why INT(sinx dx) (0,pi) is zero?

@Kevin yes, I just noticed this also now. I think that is where the problem is. THis will fix everything. Please give me a minute to fix it all. This is good. This will make B1=0 but still keep 2/pi in there which is what we want.

OK

@Kevin done. This fixes it. The problem was B0 is missing 2/Pi and B1=0. Will update the Latex code on the post now. Thanks for spotting this. This keeps the same solution as before which is the correct solution.

@Nasser You're welcome. And thank you for your great answers and responsibility.