Maple 2023 Questions and Posts

These are Posts and Questions associated with the product, Maple 2023

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:

NULL

Expression to apply an identiy to

JacobiSN(sin((1/2)*`ϕ__0`)*t, csc((1/2)*`ϕ__0`)) = JacobiSN(z, k)

JacobiSN(sin((1/2)*varphi__0)*t, csc((1/2)*varphi__0)) = JacobiSN(z, k)

(1)

map(op, JacobiSN(sin((1/2)*varphi__0)*t, csc((1/2)*varphi__0)) = JacobiSN(z, k))

(sin((1/2)*varphi__0)*t, csc((1/2)*varphi__0)) = (z, k)

(2)

solve([(rhs-lhs)((sin((1/2)*varphi__0)*t, csc((1/2)*varphi__0)) = (z, k))], {k, z})[]

k = csc((1/2)*varphi__0), z = sin((1/2)*varphi__0)*t

(3)

Using the following identity from Maples FunctionAdvisor and the correspondence in (3)

FunctionAdvisor(identities, JacobiSN(z, 1/k))[5]

JacobiSN(z, k) = JacobiSN(z*k, 1/k)/k

(4)

convert(subs(k = csc((1/2)*varphi__0), z = sin((1/2)*varphi__0)*t, JacobiSN(z, k) = JacobiSN(z*k, 1/k)/k), sincos)

JacobiSN(sin((1/2)*varphi__0)*t, 1/sin((1/2)*varphi__0)) = sin((1/2)*varphi__0)*JacobiSN(t, sin((1/2)*varphi__0))

(5)

That worked. Q1: But is it a good way to do so?

Now  a new example: Converting InverseJacobinAM to InverseJacobiSN

NULL

NULL

FunctionAdvisor(identities, InverseJacobiSN(z, k))[3]

InverseJacobiSN(z, k) = InverseJacobiAM(arcsin(z), k)

(6)

InverseJacobiAM((1/2)*`ϕ__0`, sqrt(2)/sqrt(1-cos(`ϕ__0`))) = rhs(InverseJacobiSN(z, k) = InverseJacobiAM(arcsin(z), k))

InverseJacobiAM((1/2)*varphi__0, 2^(1/2)/(1-cos(varphi__0))^(1/2)) = EllipticF(z, k)

(7)

map(op, InverseJacobiAM((1/2)*varphi__0, 2^(1/2)/(1-cos(varphi__0))^(1/2)) = EllipticF(z, k))

((1/2)*varphi__0, 2^(1/2)/(1-cos(varphi__0))^(1/2)) = (z, k)

(8)

solve({(rhs-lhs)(((1/2)*varphi__0, 2^(1/2)/(1-cos(varphi__0))^(1/2)) = (z, k))}, {k, z})

{k = 2^(1/2)/(1-cos(varphi__0))^(1/2), z = (1/2)*varphi__0}

(9)

This is of course wrong since comparing the InverseJacobiAM expression in (6) and (7) z should be

(1/2)*`ϕ__0` = arcsin(z)

(1/2)*varphi__0 = arcsin(z)

(10)

solve((1/2)*varphi__0 = arcsin(z), {z})

{z = sin((1/2)*varphi__0)}

(11)

Q2: How to avoid simplification of InverseJacobiAM(arcsin(z), k)to EllipticF(z, k)


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?

How can a solve second order Laplace Equation with boundary condition numerical in Maple 2023?

Kjell

Perhaps you could consider a Coding theory Package.  I'm working on Coding theory at the moment.

I am using Maple 2023.

When using PDE Numeric Help Side the text sides is not smooth moving when scrolling downwards or upwards.

Any advice what to do????

Kjell

First 17 18 19 20 21 22 23 Last Page 19 of 32