Skip to main content

front end - Dynamically link cell content in Mathematica?


Is it possible to dynamically link the content of two cells? For example, can I set up a Notebook with two text cells that display the same value, and if the user types in one the other updates, etc.? I am familiar with Mathematica's dynamic functionality and at least the key concepts of the FrontEnd, and it seems like I should be able to assign a dynamic symbol to certain parts of a cell and just use that in an expression elsewhere, but I can't figure out how to programmatically access a cell's current content. The best I have been able to do is get a CellObject using Cells[], e.g. where the first cell is a text cell containing "This is a test!", Cells[][[1]] gives


Cell[BoxData[

TemplateBox[{6849,"6849","\"Text\""},
"CellObject"]], "Output",
CellChangeTimes->{{3.5653627710636687`*^9, 3.5653627797706504`*^9}, {
3.5653628101959224`*^9, 3.5653628192779245`*^9}, 3.5653630492614017`*^9}]

but this doesn't include the cell's content.



Answer



See if this does it for you. There are still some issues (see below).


nbA = CreateDocument[{Cell["Notebook A", "Title"],
ExpressionCell[

Dynamic[Refresh[
NotebookWrite[dynamicCellObjB, NotebookRead[dynamicCellObjA]];
dynamicCellObjB = First@Cells[nbB, CellTags -> "DynamicCell"];
"cell to be updated:", TrackedSymbols -> {},
UpdateInterval -> 5]]],
Cell["Edit this", "Text", CellTags -> {"DynamicCell"}]}];
dynamicCellObjA = First@Cells[nbA, CellTags -> "DynamicCell"];
nbB = CreateDocument[{Cell["Notebook B", "Title"],
Cell["Not this", "Text", CellTags -> {"DynamicCell"}]}];
dynamicCellObjB = First@Cells[nbB, CellTags -> "DynamicCell"];


You need something to trigger the update. Notebooks live in the front end and NotebookObjects, while living in the kernel, are just references to the front end object. Dynamic interactivity requires some variable change or event in the kernel to trigger an update. Here I used Dynamic[Refresh[.., UpdateInterval->5]] to cause an update every five seconds. You can change the update interval as you please. Another key is that the connected cells are identified by a unique cell tag ("DynamicCell" was my choice of name). There are some timing issues. I occasionally got a message on start-up, if a symbol was evaluated before it was defined.


If it seems on the right track, I hope you can adapt it to your notebooks.


Comments

Popular posts from this blog

functions - Get leading series expansion term?

Given a function f[x] , I would like to have a function leadingSeries that returns just the leading term in the series around x=0 . For example: leadingSeries[(1/x + 2)/(4 + 1/x^2 + x)] x and leadingSeries[(1/x + 2 + (1 - 1/x^3)/4)/(4 + x)] -(1/(16 x^3)) Is there such a function in Mathematica? Or maybe one can implement it efficiently? EDIT I finally went with the following implementation, based on Carl Woll 's answer: lds[ex_,x_]:=( (ex/.x->(x+O[x]^2))/.SeriesData[U_,Z_,L_List,Mi_,Ma_,De_]:>SeriesData[U,Z,{L[[1]]},Mi,Mi+1,De]//Quiet//Normal) The advantage is, that this one also properly works with functions whose leading term is a constant: lds[Exp[x],x] 1 Answer Update 1 Updated to eliminate SeriesData and to not return additional terms Perhaps you could use: leadingSeries[expr_, x_] := Normal[expr /. x->(x+O[x]^2) /. a_List :> Take[a, 1]] Then for your examples: leadingSeries[(1/x + 2)/(4 + 1/x^2 + x), x] leadingSeries[Exp[x], x] leadingSeries[(1/x + 2 + (1 - 1/x...

mathematical optimization - Minimizing using indices, error: Part::pkspec1: The expression cannot be used as a part specification

I want to use Minimize where the variables to minimize are indices pointing into an array. Here a MWE that hopefully shows what my problem is. vars = u@# & /@ Range[3]; cons = Flatten@ { Table[(u[j] != #) & /@ vars[[j + 1 ;; -1]], {j, 1, 3 - 1}], 1 vec1 = {1, 2, 3}; vec2 = {1, 2, 3}; Minimize[{Total@((vec1[[#]] - vec2[[u[#]]])^2 & /@ Range[1, 3]), cons}, vars, Integers] The error I get: Part::pkspec1: The expression u[1] cannot be used as a part specification. >> Answer Ok, it seems that one can get around Mathematica trying to evaluate vec2[[u[1]]] too early by using the function Indexed[vec2,u[1]] . The working MWE would then look like the following: vars = u@# & /@ Range[3]; cons = Flatten@{ Table[(u[j] != #) & /@ vars[[j + 1 ;; -1]], {j, 1, 3 - 1}], 1 vec1 = {1, 2, 3}; vec2 = {1, 2, 3}; NMinimize[ {Total@((vec1[[#]] - Indexed[vec2, u[#]])^2 & /@ R...

plotting - Plot 4D data with color as 4th dimension

I have a list of 4D data (x position, y position, amplitude, wavelength). I want to plot x, y, and amplitude on a 3D plot and have the color of the points correspond to the wavelength. I have seen many examples using functions to define color but my wavelength cannot be expressed by an analytic function. Is there a simple way to do this? Answer Here a another possible way to visualize 4D data: data = Flatten[Table[{x, y, x^2 + y^2, Sin[x - y]}, {x, -Pi, Pi,Pi/10}, {y,-Pi,Pi, Pi/10}], 1]; You can use the function Point along with VertexColors . Now the points are places using the first three elements and the color is determined by the fourth. In this case I used Hue, but you can use whatever you prefer. Graphics3D[ Point[data[[All, 1 ;; 3]], VertexColors -> Hue /@ data[[All, 4]]], Axes -> True, BoxRatios -> {1, 1, 1/GoldenRatio}]