with(GraphTheory):
s:=DrawGraph(CompleteGraph(5),size=[250,250])
Export("D:\\s1.jpg",s)

But I would like to export it using PDF format. However, the modified code below seems to be quite unsuccessful. I am aware that Maple has export options in the front end, but I still prefer to use code for this purpose.

Export("D:\\s1.pdf",s)

Error, (in Export) invalid input: member received _ImportExport:-InfoTable["PDF"][4], which is not valid for its 2nd argument, s

There are two reasons for this.

• One is for batch conversion;
•  the second is the previously mentioned issue (see https://www.mapleprimes.com/questions/236142-How-To-Remove-The-Mosaic-Of-Vertices) that has not been resolved. I'm thinking that perhaps converting Tabulate to PDFs using codes  might remove the mosaic issue.

with(GraphTheory):
Graphs:=[NonIsomorphicGraphs(6,8,output=graphs,outputform = graph)]:
num_g:=nops(Graphs):
num:=ceil((num_g)/5.):
Matrix (num,5,(i,j)->`if`((i-1)*5+j<=num_g, DrawGraph(Graphs[(i-1)*5+j],size=[250,250] ,overrideoptions ,showlabels=false,style=planar, stylesheet =  [
 vertexcolor     = orange
,vertexfontcolor = black
,vertexborder    = false
,edgethickness   = 0.6
,edgecolor       = MidnightBlue
,vertexshape     =  "circle"
,vertexfont      = [Arial, 4],
vertexthickness=5], caption = cat(H__,5*(i-1)+j),captionfont=["ROMAN",7]),plot(x = 0 .. 1, axes = none))):
DocumentTools:-Tabulate (M1[1..5,.. ],widthmode=percentage ,width=80 , exterior =all):

Since strings are not mutable objects in Maple, the package provides two procedures, StringTools:-OldStringBuffer and StringTools:-StringBuffer, which appear heavily correlated with Java's  and . 

The help page of StringBuffer claims that use of a is much more efficient than the naive approach: 

(*
`G` and `F` are taken from the link above.
*)
G := proc()
   description "extremely inefficient string concatenator";
   local   r;
   r := proc()
       if nargs = 0 then
           ""
       elif nargs = 1 then
           args[ 1 ]
       else
           cat( args[ 1 ], procname( args[ 2 .. -1 ] ) )
       end if
   end proc;
   r( args )
end proc:
# # This can be transformed into an O(1) algorithm by passing a string buffer to the recursive calls.
F := proc()
   description "efficient version of G";
   local    b, r;
   b := StringTools:-StringBuffer();
   r := proc()
       if nargs = 1 then
           b:-append( args[ 1 ] )
       else
           b:-append( args[ 1 ] );
           procname( args[ 2 .. -1 ] )
       end if
   end proc;
   r( args ):-value()
end proc:
s := 'StringTools:-Random(10, print)' $ 1e4:
NULL;
time(G(s));
                             5.375

time(F(s));
                             1.125

But why not use the built-in cat directly? 

time(cat(s));
                               0.

time(StringTools:-Join([s], ""));
                               0.

Clearly, this is even more efficient. 

Here is the last example in that link. 

FilterFile := proc( fname::string, filter )
   local   b, line;
   b := StringTools:-StringBuffer();
   do
       line := readline( fname );
       if line = 0 then break end if;
       b:-append( filter( line ) )
   end do;
   b:-value()
end proc: # verbatim 
filename__0 := FileTools:-JoinPath(["example", "odyssey.txt"], 'base' = 'datadir'):
filename__1 := URL:-Download("https://gutenberg.org/ebooks\
/2600.txt.utf-8", "War-and-Peace.txt"):

fclose(filename__0):
    time[real]((rawRes0 := FilterFile(filename__0, StringTools:-Unique)));
                             0.223

fclose(filename__1):
    time[real]((rawRes1 := FilterFile(filename__1, StringTools:-Unique)));
                             1.097

Nevertheless, 

close(filename__0):
use StringTools, FileTools:-Text in
	time[real]((newRes0 := String(Support~(fscanf(filename__0, Repeat("%[^\n]%*c", CountLines(filename__0))))[])))
end;
                             0.118

close(filename__1):
use StringTools, FileTools:-Text in
	time[real]((newRes1 := String(Support~(fscanf(filename__1, Repeat("%[^\n]%*c", CountLines(filename__1))))[])))
end;
                             0.580

evalb(newRes0 = rawRes0 and newRes1 = rawRes1);
                              true

As you can see, these experiments just tell an opposite story. Isn't the so-called "StringBuffer" obsolete today? 

How do I format the display of numbers in Microsoft Excel 365 using the Maple 2023 Add-In?

The default formatting is inconsistent: displays as but displays as . At minimum, I would like all of the numbers to display using a consistent format, preferably standard scientific notation (1.27420168E7 and not or ).

Maple (2023.1) opens regularly but I cannot use "open" or "save" or "save as" and after opening Maple I no longer can close it.

That is a big problem for me.

The issue is on my new laptop Lenovo L13 Yoga with Windows 11.

Any suggestion? Thanks

hi i have a problem where maple dosent have a varible theta inside cos and sin and when i give it a size it dosent solve the equtation 

Delay differential equations in Chebfun lists 15 examples "taken from the literature". Many of them can be (numerically) solved in Maple without difficulty, yet when I attempt to solve the  in the above link, Maple's internal solver `dsolve/numeric` just halts with an error. 

plots:-odeplot(dsolve({D(u)(t) + u(t)**2 + 2*u(1/2*t) = 1/2*exp(t), u(0) = u(1/3)}, type = numeric, range = 0 .. 1/3), size = ["default", "golden"]);
Error, (in dsolve/numeric) delay equations are not supported for bvp solvers

Even if I guess an initial (or final) value artificially, the solution is still less reliable (For instance, what is the approximate endpoint value? 0.26344 or 0.2668?): 

restart;
dde := D(u)(t) + u(t)**2 + u(t/2)*2 = exp(t)/2:
x__0 := 2668/10000:
sol0 := dsolve([dde, u(0) = x__0], type = numeric, 'delaymax' = 1/6, range = 0 .. 1/3):
plots['odeplot'](sol0, [[t, u(t)], [t, x__0]], 'size' = ["default", "golden"]);

x__1 := 26344/100000:
sol1 := dsolve([dde, u(1/3) = x__1], type = numeric, 'delaymax' = 1/6, range = 0 .. 1/3):
plots['odeplot'](sol1, [[t, u(t)], [t, x__1]], size = ["default", "golden"]);

Compare:  (Note that the reference numerical solution implies that its minimum should be no less than 0.258 (Is this incorrect?).).

And actually, the only known constraint is simply u(0)＝u(⅓) (so neither value is known beforehand). Can Maple process this boundary condition automatically (that is, without the need for manual preprocessing and in absence of any other prior information)?
I have read the help page How to | Numeric Delay Differential Equations and Numerical Solution of Difficult ODE Boundary Value Problems, but it appears that those techniques are more or less ineffective here. So, how do I solve such a "first order nonlinear 'BVP' with pantograph delay" in Maple?

Hi,

I am trying to write a procedure that takes two intervals of real numbers (in interval notation) and checks if one is a subset of the other. For example, isSubset([-5,2],[-10,infinity)) would return true, but isSubset([-5,2],(-5,infinity)) would return false. Any idea how to go about this? I am having difficulty knowing where to start.

Thanks!

Hello!!

Matrice: (x,y)=(-2,-3),(-1,2),(3,4),(1,-2)

When plotting 3 lines with points are ok, but the fourth line os missing! All 4 points are there

How to include the 4th line?

Kjell

For instance, “[1, 2, 3]”, “[``([1, 2]), uneval([3])]”, and “[[1, 2], [3, 'NULL']]” are fully rectangular. “[1, 2, [3]]”, “[`[]`(1, 2), [3]]”, and “[[1, 2], [3, NULL]]” are considered nonrectangular, but if we temporarily freeze the "ragged" parts or regard them as a depth-1 container, the corresponding expressions will seem rectangular. `type(…, list(Non(list)))` and `type(…, listlist(Non(list)))` check these, but they do not work for general cases.
To be specific, the desired output should be something like

IsRectangular([[[l, 2], [3, 4]], [[5, 6], [7, 8]]]);
 = 
                            true, 3

IsRectangular([[[O, l, 2], [3, 4]], [[5, 6], [7, 8]]]);
 = 
                            false, 2

IsRectangular([[[[l], 2], [3, 4]], [[5, 6], [7, 8]]], 3);
 = 
                            true, 3

IsRectangular([[O, [l, 2], [3, 4]], [[5, 6], [7, 8]]], 2);
 = 
                            false, 1

The results above can be obtained by some observations. However, if the input has deeper levels, evaluating this will be a punishing work: 

test__1 := [[[[[[[[-288],[-287],[-286]],[[-285],[-284],[-283]],[[-282],[-281],[-280]],[[-279],[-278],[-277]]]],[[[[-276],[-275],[-274]],[[-273],[-272],[-271]],[[-270],[-269],[-268]],[[-267],[-266],[-265]]]],[[[[-264],[-263],[-262]],[[-261],[-260],[-259]],[[-258],[-257],[-256]],[[-255],[-254],[-253]]]]],[[[[[-252],[-251],[-250]],[[-249],[-248],[-247]],[[-246],[-245],[-244]],[[-243],[-242],[-241]]]],[[[[-240],[-239],[-238]],[[-237],[-236],[-235]],[[-234],[-233],[-232]],[[-231],[-230],[-229]]]],[[[[-228],[-227],[-226]],[[-225],[-224],[-223]],[[-222],[-221],[-220]],[[-219],[-218],[-217]]]]]],[[[[[[-216],[-215],[-214]],[[-213],[-212],[-211]],[[-210],[-209],[-208]],[[-207],[-206],[-205]]]],[[[[-204],[-203],[-202]],[[-201],[-200],[-199]],[[-198],[-197],[-196]],[[-195],[-194],[-193]]]],[[[[-192],[-191],[-190]],[[-189],[-188],[-187]],[[-186],[-185],[-184]],[[-183],[-182],[-181]]]]],[[[[[-180],[-179],[-178]],[[-177],[-176],[-175]],[[-174],[-173],[-172]],[[-171],[-170],[-169]]]],[[[[-168],[-167],[-166]],[[-165],[-164],[-163]],[[-162],[-161],[-160]],[[-159],[-158],[-157]]]],[[[[-156],[-155],[-154]],[[-153],[-152],[-151]],[[-150],[-149],[-148]],[[-147],[-146],[-145]]]]]],[[[[[[-144],[-143],[-142]],[[-141],[-140],[-139]],[[-138],[-137],[-136]],[[-135],[-134],[-133]]]],[[[[-132],[-131],[-130]],[[-129],[-128],[-127]],[[-126],[-125],[-124]],[[-123],[-122],[-121]]]],[[[[-120],[-119],[-118]],[[-117],[-116],[-115]],[[-114],[-113],[-112]],[[-111],[-110],[-109]]]]],[[[[[-108],[-107],[-106]],[[-105],[-104],[-103]],[[-102],[-101],[-100]],[[-99],[-98],[-97]]]],[[[[-96],[-95],[-94]],[[-93],[-92],[-91]],[[-90],[-89],[-88]],[[-87],[-86],[-85]]]],[[[[-84],[-83],[-82]],[[-81],[-80],[-79]],[[-78],[-77],[-76]],[[-75],[-74],[-73]]]]]],[[[[[[-72],[-71],[-70]],[[-69],[-68],[-67]],[[-66],[-65],[-64]],[[-63],[-62],[-61]]]],[[[[-60],[-59],[-58]],[[-57],[-56],[-55]],[[-54],[-53],[-52]],[[-51],[-50],[-49]]]],[[[[-48],[-47],[-46]],[[-45],[-44],[-43]],[[-42],[-41],[-40]],[[-39],[-38],[-37]]]]],[[[[[-36],[-35],[-34]],[[-33],[-32],[-31]],[[-30],[-29],[-28]],[[-27],[-26],[-25]]]],[[[[-24],[-23],[-22]],[[-21],[-20],[-19]],[[-18],[-17],[-16]],[[-15],[-14],[-13]]]],[[[[-12],[-11],[-10]],[[-9],[-8],[-7]],[[-6],[-5],[-4]],[[-3],[-2],[-1],[-0]]]]]]],[[[[[[[0],[1],[2]],[[3],[4],[5]],[[6],[7],[8]],[[9],[10],[11]]]],[[[[12],[13],[14]],[[15],[16],[17]],[[18],[19],[20]],[[21],[22],[23]]]],[[[[24],[25],[26]],[[27],[28],[29]],[[30],[31],[32]],[[33],[34],[35]]]]],[[[[[36],[37],[38]],[[39],[40],[41]],[[42],[43],[44]],[[45],[46],[47]]]],[[[[48],[49],[50]],[[51],[52],[53]],[[54],[55],[56]],[[57],[58],[59]]]],[[[[60],[61],[62]],[[63],[64],[65]],[[66],[67],[68]],[[69],[70],[71]]]]]],[[[[[[72],[73],[74]],[[75],[76],[77]],[[78],[79],[80]],[[81],[82],[83]]]],[[[[84],[85],[86]],[[87],[88],[89]],[[90],[91],[92]],[[93],[94],[95]]]],[[[[96],[97],[98]],[[99],[100],[101]],[[102],[103],[104]],[[105],[106],[107]]]]],[[[[[108],[109],[110]],[[111],[112],[113]],[[114],[115],[116]],[[117],[118],[119]]]],[[[[120],[121],[122]],[[123],[124],[125]],[[126],[127],[128]],[[129],[130],[131]]]],[[[[132],[133],[134]],[[135],[136],[137]],[[138],[139],[140]],[[141],[142],[143]]]]]],[[[[[[144],[145],[146]],[[147],[148],[149]],[[150],[151],[152]],[[153],[154],[155]]]],[[[[156],[157],[158]],[[159],[160],[161]],[[162],[163],[164]],[[165],[166],[167]]]],[[[[168],[169],[170]],[[171],[172],[173]],[[174],[175],[176]],[[177],[178],[179]]]]],[[[[[180],[181],[182]],[[183],[184],[185]],[[186],[187],[188]],[[189],[190],[191]]]],[[[[192],[193],[194]],[[195],[196],[197]],[[198],[199],[200]],[[201],[202],[203]]]],[[[[204],[205],[206]],[[207],[208],[209]],[[210],[211],[212]],[[213],[214],[215]]]]]],[[[[[[216],[217],[218]],[[219],[220],[221]],[[222],[223],[224]],[[225],[226],[227]]]],[[[[228],[229],[230]],[[231],[232],[233]],[[234],[235],[236]],[[237],[238],[239]]]],[[[[240],[241],[242]],[[243],[244],[245]],[[246],[247],[248]],[[249],[250],[251]]]]],[[[[[252],[253],[254]],[[255],[256],[257]],[[258],[259],[260]],[[261],[262],[263]]]],[[[[264],[265],[266]],[[267],[268],[269]],[[270],[271],[272]],[[273],[274],[275]]]],[[[[276],[277],[278]],[[279],[280],[281]],[[282],[283],[284]],[[285],[286],[287]]]]]]]]:
test__2 := [[[[[[[[-288],[-287],[-286]],[[-285],[-284],[-283]],[[-282],[-281],[-280]],[[-279],[-278],[-277]]]],[[[[-276],[-275],[-274]],[[-273],[-272],[-271]],[[-270],[-269],[-268]],[[-267],[-266],[-265]]]],[[[[-264],[-263],[-262]],[[-261],[-260],[-259]],[[-258],[-257],[-256]],[[-255],[-254],[-253]]]]],[[[[[-252],[-251],[-250]],[[-249],[-248],[-247]],[[-246],[-245],[-244]],[[-243],[-242],[-241]]]],[[[[-240],[-239],[-238]],[[-237],[-236],[-235]],[[-234],[-233],[-232]],[[-231],[-230],[-229]]]],[[[[-228],[-227],[-226]],[[-225],[-224],[-223]],[[-222],[-221],[-220]],[[-219],[-218],[-217]]]]]],[[[[[[-216],[-215],[-214]],[[-213],[-212],[-211]],[[-210],[-209],[-208]],[[-207],[-206],[-205]]]],[[[[-204],[-203],[-202]],[[-201],[-200],[-199]],[[-198],[-197],[-196]],[[-195],[-194],[-193]]]],[[[[-192],[-191],[-190]],[[-189],[-188],[-187]],[[-186],[-185],[-184]],[[-183],[-182],[-181]]]]],[[[[[-180],[-179],[-178]],[[-177],[-176],[-175]],[[-174],[-173],[-172]],[[-171],[-170],[-169]]]],[[[[-168],[-167],[-166]],[[-165],[-164],[-163]],[[-162],[-161],[-160]],[[-159],[-158],[-157]]]],[[[[-156],[-155],[-154]],[[-153],[-152],[-151]],[[-150],[-149],[-148]],[[-147],[-146],[-145]]]]]],[[[[[[-144],[-143],[-142]],[[-141],[-140],[-139]],[[-138],[-137],[-136]],[[-135],[-134],[-133]]]],[[[[-132],[-131],[-130]],[[-129],[-128],[-127]],[[-126],[-125],[-124]],[[-123],[-122],[-121]]]],[[[[-120],[-119],[-118]],[[-117],[-116],[-115]],[[-114],[-113],[-112]],[[-111],[-110],[-109]]]]],[[[[[-108],[-107],[-106]],[[-105],[-104],[-103]],[[-102],[-101],[-100]],[[-99],[-98],[-97]]]],[[[[-96],[-95],[-94]],[[-93],[-92],[-91]],[[-90],[-89],[-88]],[[-87],[-86],[-85]]]],[[[[-84],[-83],[-82]],[[-81],[-80],[-79]],[[-78],[-77],[-76]],[[-75],[-74],[-73]]]]]],[[[[[[-72],[-71],[-70]],[[-69],[-68],[-67]],[[-66],[-65],[-64]],[[-63],[-62],[-61]]]],[[[[-60],[-59],[-58]],[[-57],[-56],[-55]],[[-54],[-53],[-52]],[[-51],[-50],[-49]]]],[[[[-48],[-47],[-46]],[[-45],[-44],[-43]],[[-42],[-41],[-40]],[[-39],[-38],[-37]]]]],[[[[[-36],[-35],[-34]],[[-33],[-32],[-31]],[[-30],[-29],[-28]],[[-27],[-26],[-25]]]],[[[[-24],[-23],[-22]],[[-21],[-20],[-19]],[[-18],[-17],[-16]],[[-15],[-14],[-13]]]],[[[[-12],[-11],[-10]],[[-9],[-8],[-7]],[[-6],[-5],[-4]],[[-3],[-2,0],[-0]]]]]]],[[[[[[[-1],[1],[2]],[[3],[4],[5]],[[6],[7],[8]],[[9],[10],[11]]]],[[[[12],[13],[14]],[[15],[16],[17]],[[18],[19],[20]],[[21],[22],[23]]]],[[[[24],[25],[26]],[[27],[28],[29]],[[30],[31],[32]],[[33],[34],[35]]]]],[[[[[36],[37],[38]],[[39],[40],[41]],[[42],[43],[44]],[[45],[46],[47]]]],[[[[48],[49],[50]],[[51],[52],[53]],[[54],[55],[56]],[[57],[58],[59]]]],[[[[60],[61],[62]],[[63],[64],[65]],[[66],[67],[68]],[[69],[70],[71]]]]]],[[[[[[72],[73],[74]],[[75],[76],[77]],[[78],[79],[80]],[[81],[82],[83]]]],[[[[84],[85],[86]],[[87],[88],[89]],[[90],[91],[92]],[[93],[94],[95]]]],[[[[96],[97],[98]],[[99],[100],[101]],[[102],[103],[104]],[[105],[106],[107]]]]],[[[[[108],[109],[110]],[[111],[112],[113]],[[114],[115],[116]],[[117],[118],[119]]]],[[[[120],[121],[122]],[[123],[124],[125]],[[126],[127],[128]],[[129],[130],[131]]]],[[[[132],[133],[134]],[[135],[136],[137]],[[138],[139],[140]],[[141],[142],[143]]]]]],[[[[[[144],[145],[146]],[[147],[148],[149]],[[150],[151],[152]],[[153],[154],[155]]]],[[[[156],[157],[158]],[[159],[160],[161]],[[162],[163],[164]],[[165],[166],[167]]]],[[[[168],[169],[170]],[[171],[172],[173]],[[174],[175],[176]],[[177],[178],[179]]]]],[[[[[180],[181],[182]],[[183],[184],[185]],[[186],[187],[188]],[[189],[190],[191]]]],[[[[192],[193],[194]],[[195],[196],[197]],[[198],[199],[200]],[[201],[202],[203]]]],[[[[204],[205],[206]],[[207],[208],[209]],[[210],[211],[212]],[[213],[214],[215]]]]]],[[[[[[216],[217],[218]],[[219],[220],[221]],[[222],[223],[224]],[[225],[226],[227]]]],[[[[228],[229],[230]],[[231],[232],[233]],[[234],[235],[236]],[[237],[238],[239]]]],[[[[240],[241],[242]],[[243],[244],[245]],[[246],[247],[248]],[[249],[250],[251]]]]],[[[[[252],[253],[254]],[[255],[256],[257]],[[258],[259],[260]],[[261],[262],[263]]]],[[[[264],[265],[266]],[[267],[268],[269]],[[270],[271],[272]],[[273],[274],[275]]]],[[[[276],[277],[278]],[[279],[280],[281]],[[282],[283],[284]],[[285],[286],[287]]]]]]]]:
test__3 := [[[[[[[[-288],[-287],[-286]],[[-285],[-284],[-283]],[[-282],[-281],[-280]],[[-279],[-278],[-277]]]],[[[[-276],[-275],[-274]],[[-273],[-272],[-271]],[[-270],[-269],[-268]],[[-267],[-266],[-265]]]],[[[[-264],[-263],[-262]],[[-261],[-260],[-259]],[[-258],[-257],[-256]],[[-255],[-254],[-253]]]]],[[[[[-252],[-251],[-250]],[[-249],[-248],[-247]],[[-246],[-245],[-244]],[[-243],[-242],[-241]]]],[[[[-240],[-239],[-238]],[[-237],[-236],[-235]],[[-234],[-233],[-232]],[[-231],[-230],[-229]]]],[[[[-228],[-227],[-226]],[[-225],[-224],[-223]],[[-222],[-221],[-220]],[[-219],[-218],[-217]]]]]],[[[[[[-216],[-215],[-214]],[[-213],[-212],[-211]],[[-210],[-209],[-208]],[[-207],[-206],[-205]]]],[[[[-204],[-203],[-202]],[[-201],[-200],[-199]],[[-198],[-197],[-196]],[[-195],[-194],[-193]]]],[[[[-192],[-191],[-190]],[[-189],[-188],[-187]],[[-186],[-185],[-184]],[[-183],[-182],[-181]]]]],[[[[[-180],[-179],[-178]],[[-177],[-176],[-175]],[[-174],[-173],[-172]],[[-171],[-170],[-169]]]],[[[[-168],[-167],[-166]],[[-165],[-164],[-163]],[[-162],[-161],[-160]],[[-159],[-158],[-157]]]],[[[[-156],[-155],[-154]],[[-153],[-152],[-151]],[[-150],[-149],[-148]],[[-147],[-146],[-145]]]]]],[[[[[[-144],[-143],[-142]],[[-141],[-140],[-139]],[[-138],[-137],[-136]],[[-135],[-134],[-133]]]],[[[[-132],[-131],[-130]],[[-129],[-128],[-127]],[[-126],[-125],[-124]],[[-123],[-122],[-121]]]],[[[[-120],[-119],[-118]],[[-117],[-116],[-115]],[[-114],[-113],[-112]],[[-111],[-110],[-109]]]]],[[[[[-108],[-107],[-106]],[[-105],[-104],[-103]],[[-102],[-101],[-100]],[[-99],[-98],[-97]]]],[[[[-96],[-95],[-94]],[[-93],[-92],[-91]],[[-90],[-89],[-88]],[[-87],[-86],[-85]]]],[[[[-84],[-83],[-82]],[[-81],[-80],[-79]],[[-78],[-77],[-76]],[[-75],[-74],[-73]]]]]],[[[[[[-72],[-71],[-70]],[[-69],[-68],[-67]],[[-66],[-65],[-64]],[[-63],[-62],[-61]]]],[[[[-60],[-59],[-58]],[[-57],[-56],[-55]],[[-54],[-53],[-52]],[[-51],[-50],[-49]]]],[[[[-48],[-47],[-46]],[[-45],[-44],[-43]],[[-42],[-41],[-40]],[[-39],[-38],[-37]]]]],[[[[[-36],[-35],[-34]],[[-33],[-32],[-31]],[[-30],[-29],[-28]],[[-27],[-26],[-25]]]],[[[[-24],[-23],[-22]],[[-21],[-20],[-19]],[[-18],[-17],[-16]],[[-15],[-14],[-13]]]],[[[[-12],[-11],[-10]],[[-9],[-8],[-7]],[[-6],[-5],[-4]],[[-3],[-2,-0]]]]]]],[[[[[[-1],[[1],[2]],[[3],[4],[5]],[[6],[7],[8]],[[9],[10],[11]]]],[[[[12],[13],[14]],[[15],[16],[17]],[[18],[19],[20]],[[21],[22],[23]]]],[[[[24],[25],[26]],[[27],[28],[29]],[[30],[31],[32]],[[33],[34],[35]]]]],[[[[[36],[37],[38]],[[39],[40],[41]],[[42],[43],[44]],[[45],[46],[47]]]],[[[[48],[49],[50]],[[51],[52],[53]],[[54],[55],[56]],[[57],[58],[59]]]],[[[[60],[61],[62]],[[63],[64],[65]],[[66],[67],[68]],[[69],[70],[71]]]]]],[[[[[[72],[73],[74]],[[75],[76],[77]],[[78],[79],[80]],[[81],[82],[83]]]],[[[[84],[85],[86]],[[87],[88],[89]],[[90],[91],[92]],[[93],[94],[95]]]],[[[[96],[97],[98]],[[99],[100],[101]],[[102],[103],[104]],[[105],[106],[107]]]]],[[[[[108],[109],[110]],[[111],[112],[113]],[[114],[115],[116]],[[117],[118],[119]]]],[[[[120],[121],[122]],[[123],[124],[125]],[[126],[127],[128]],[[129],[130],[131]]]],[[[[132],[133],[134]],[[135],[136],[137]],[[138],[139],[140]],[[141],[142],[143]]]]]],[[[[[[144],[145],[146]],[[147],[148],[149]],[[150],[151],[152]],[[153],[154],[155]]]],[[[[156],[157],[158]],[[159],[160],[161]],[[162],[163],[164]],[[165],[166],[167]]]],[[[[168],[169],[170]],[[171],[172],[173]],[[174],[175],[176]],[[177],[178],[179]]]]],[[[[[180],[181],[182]],[[183],[184],[185]],[[186],[187],[188]],[[189],[190],[191]]]],[[[[192],[193],[194]],[[195],[196],[197]],[[198],[199],[200]],[[201],[202],[203]]]],[[[[204],[205],[206]],[[207],[208],[209]],[[210],[211],[212]],[[213],[214],[215]]]]]],[[[[[[216],[217],[218]],[[219],[220],[221]],[[222],[223],[224]],[[225],[226],[227]]]],[[[[228],[229],[230]],[[231],[232],[233]],[[234],[235],[236]],[[237],[238],[239]]]],[[[[240],[241],[242]],[[243],[244],[245]],[[246],[247],[248]],[[249],[250],[251]]]]],[[[[[252],[253],[254]],[[255],[256],[257]],[[258],[259],[260]],[[261],[262],[263]]]],[[[[264],[265],[266]],[[267],[268],[269]],[[270],[271],[272]],[[273],[274],[275]]]],[[[[276],[277],[278]],[[279],[280],[281]],[[282],[283],[284]],[[285],[286],[287]]]]]]]]:

Is there a generalized test procedure (e.g., ListTools:-IsRectangular) that effectively works for any nested list of an arbitrary nesting level? 

Below is the plot like I want it. The basic plot has been done with a simple plot command.

>plot(0, x = 0 .. 10, y = 0 .. 4, gridlines = true)

But the label of each axis was done manually. But I have tried to do it inside the plot command. A little help would be very appreciated.

So here is what I want the plot to look like:

Thank you in advance for the help.

Mario

I somehow managed to turn off autosave some time ago. Now I have reenabled it, but Maple still doesn't create any backups. Am I missing something?

Any help is appriciated.

There are various variants of graph coloring, such as when I want to compute the star chromatic number of a graph, Maple (or Mathematica) seems not to provide relevant functions.

Fortunately, the software ColPack   offers this functionality （Note: I just noticed that this software also uses greedy coloring instead of accuracy）. However, it supports the MTX format. So, the question is: 

•  How can I write a graph in MTX format?

And 

•  how can the MTX format be converted into a graph format?

Of course, I would like to perform these operations in Maple.  (SageMath may have something)

The following is an example (bcsstk01.mtx） in the directory `ColPack-master/Graphs directory` of the source code of ColPack.

bcsstk01.mtx.txt

./ColPack -f ../../Graphs/bcsstk01.mtx -m STAR
 Out: 11

But I do not know what the graph in the example is. On the contrary, I would like to compute the star chromatic number of the Petersen graph, and I also don't know how to convert it into the MTX format like the above.

with(GraphTheory):
with(SpecialGraphs):
P:=PetersenGraph()

I don't understand what the very long decimal numbers (like 2.8322685185200e+06) in the third column in the MTX-file. Will it affect the  imformation of the entire graph?

For MTX format, see https://math.nist.gov/MatrixMarket/formats.html.  For graphs, the numbers in the third column can all be considered as 1 (with the first two columns representing vertices, and their adjacency). Of course, this is my interpretation and may not necessarily be correct.

I make more and more use of the FunctionAdvisor. I have started to apply rules from the advisor to expressions. Here are two examples with questions:

Any advice?

Download Applying_identities_from_FunctionAdivisor.mw

When i try to log on to my maplesoft acount on Maple 2023 i get a messeage saying "Sign in Error: Please check your credentials and try again." i have done this multiple time double checked my password and everything, but it won't let me log on... what do i do?

Hi everyone.

Could you please help me to obtain the results by 'solve'?

Is there any way such as numerical methods in this regard?

Fung.mws