MaplePrimes Questions

I have a simple minded question :
How can I give an answer a Vote Up or select it as the Best Answer to a question ?

Hi EveryOne!

In the answer of the question "How to find roót of polynomial in finite field and extension finite field ", @Carl Love helped me to find roots of polynimial in finite field and extension finite field (At URL http://www.mapleprimes.com/view.aspx?sf=215097_Answer/Primfield.mw OR http://www.mapleprimes.com/view.aspx?sf=215285_Answer/Matrix_powers_finite_field.mw)

However, with matrix M: =< x^4+x^3+x^6+x^7+x, 1+x^2+x^4+x^5+x^6, 1+x+x^2+x^3, x^7+x^6+x^5+x^4;

                                   x^7+x^5+x^4+x^3, x^6+x^4+x^2+1, x^4+x^3+x^6+x^7+x^2+x+1, 1+x^2+x^3+x^4+x^5; 

                                   x^7+x^5+x^2, x^7+x^5+x^3+x^2+1, x^2+x+x^6, x^2+x^3+x^5;
                                   x^4+x^3+x^6+1, 1+x^2+x^3+x^4, x^6+x^5+x^4+x^3, x^7+x^3 >;

and GF(2^8)/f(x)=x^8 + x^7 +x^6 + x +1 (i.e ext1:= Z^8+Z^7+Z^6+Z+1), then program Primfield.mw don't run!

Please help me! Thanks so much.

 

Dear All

Using Lie algebra package in Maple we can easily find nilradical for given abstract algebra, but how we can find all the ideal in lower central series by taking new basis as nilradical itself?

Please see following;

 

with(DifferentialGeometry); with(LieAlgebras)

DGsetup([x, y, t, u, v])

`frame name: Euc`

(1)
Euc > 

VectorFields := evalDG([D_v, D_v*x+D_y*t, 2*D_t*t-2*D_u*u-D_v*v+D_y*y, t*D_v, D_v*y+D_u, D_t, D_x, D_x*t+D_u, 2*D_v*x+D_x*y, -D_t*t+2*D_u*u+2*D_v*v+D_x*x, D_y])

[_DG([["vector", "Euc", []], [[[5], 1]]]), _DG([["vector", "Euc", []], [[[2], t], [[5], x]]]), _DG([["vector", "Euc", []], [[[2], y], [[3], 2*t], [[4], -2*u], [[5], -v]]]), _DG([["vector", "Euc", []], [[[5], t]]]), _DG([["vector", "Euc", []], [[[4], 1], [[5], y]]]), _DG([["vector", "Euc", []], [[[3], 1]]]), _DG([["vector", "Euc", []], [[[1], 1]]]), _DG([["vector", "Euc", []], [[[1], t], [[4], 1]]]), _DG([["vector", "Euc", []], [[[1], y], [[5], 2*x]]]), _DG([["vector", "Euc", []], [[[1], x], [[3], -t], [[4], 2*u], [[5], 2*v]]]), _DG([["vector", "Euc", []], [[[2], 1]]])]

(2)
Euc > 

L1 := LieAlgebraData(VectorFields)

_DG([["LieAlgebra", "L1", [11]], [[[1, 3, 1], -1], [[1, 10, 1], 2], [[2, 3, 2], -1], [[2, 5, 4], 1], [[2, 6, 11], -1], [[2, 7, 1], -1], [[2, 8, 4], -1], [[2, 9, 5], -1], [[2, 9, 8], 1], [[2, 10, 2], 1], [[3, 4, 4], 3], [[3, 5, 5], 2], [[3, 6, 6], -2], [[3, 8, 8], 2], [[3, 9, 9], 1], [[3, 11, 11], -1], [[4, 6, 1], -1], [[4, 10, 4], 3], [[5, 10, 5], 2], [[5, 11, 1], -1], [[6, 8, 7], 1], [[6, 10, 6], -1], [[7, 9, 1], 2], [[7, 10, 7], 1], [[8, 9, 4], 2], [[8, 10, 8], 2], [[9, 10, 9], 1], [[9, 11, 7], -1]]])

(3)
Euc > 

DGsetup(L1)

`Lie algebra: L1`

(4)
L1 > 

MultiplicationTable("LieTable"):

L1 > 

N := Nilradical(L1)

[_DG([["vector", "L1", []], [[[1], 1]]]), _DG([["vector", "L1", []], [[[2], 1]]]), _DG([["vector", "L1", []], [[[4], 1]]]), _DG([["vector", "L1", []], [[[5], 1]]]), _DG([["vector", "L1", []], [[[6], 1]]]), _DG([["vector", "L1", []], [[[7], 1]]]), _DG([["vector", "L1", []], [[[8], 1]]]), _DG([["vector", "L1", []], [[[9], 1]]]), _DG([["vector", "L1", []], [[[11], 1]]])]

(5)
L1 > 

Query(N, "Nilpotent")

true

(6)
L1 > 

Query(N, "Solvable")

true

(7)

Taking N as new basis , how we can find all ideals in lower central series of this solvable ideal N?

 

Download [944]_Structure_of_Lie_algebra.mw

Regards

a := 18; b := 2; c := 1; d := 1; f := 1; DEtools[phaseportrait]({diff(x(t), t) = a*x-b*exp(x)*y/(1+exp(x))-f*x*x, diff(y(t), t) = -c*y+b*exp(x)*d*y/(1+exp(x))}, [x(t), y(t)], t = 0 .. 100, {[x(0) = .1, y(0) = 18], [x(0) = .1, y(0) = 27], [x(0) = .2, y(0) = 28], [x(0) = .5, y(0) = 16], [x(0) = .6, y(0) = 14], [x(0) = .7, y(0) = 8], [x(0) = .7, y(0) = 29], [x(0) = 1.0, y(0) = 18], [x(0) = 1.0, y(0) = 22], [x(0) = 1.2, y(0) = 20], [x(0) = 1.5, y(0) = 20], [x(0) = 1.5, y(0) = 24.0], [x(0) = 1.6, y(0) = 26.0], [x(0) = 1.7, y(0) = 28], [x(0) = 1.8, y(0) = 21], [x(0) = 2.0, y(0) = 9], [x(0) = 2.0, y(0) = 28]}, x = 0 .. 2, y = 0 .. 30, dirgrid = [13, 13], stepsize = 0.5e-1, arrows = SLIM, axes = BOXED, thickness = 2)

Is there an elegant way to plot in 3d only the portion of the function f(x,y)=sqrt(25-x^2-y^2) for which 9 <= x^2+y^2 <= 16 ? I'm looking for a nice plot that shows it against the whole sphere with radius 5, so that it's clear which part of the sphere is cut out.

Hi,

It might be very silly question, but i dont know why it is not working out. So here is the question. In the attached maple shhet when i am trying to substitute eta(t)=epsilon*z(t) then it is not making that susbtitution for differential operator. Apart from that when i m collecting epsilon terms then also it not collecting it.quesiton.mw

 

Regards

Sunit

Dear Community,

I get this message

'EQU' is implicitly declared local to procedure 'Z_DAK_FSOLVE'Problem with procedurefor a procedure, and  cannot go further. How can I avoid it?

Tx for the help in advance,

best regards

Andras

Z_DAK_PROC.mw

Below I try to use units for a simple expression, where "m" and "mm" is added on Windows using Ctrl-Shift-U.

Why does the value with unit "1 [[m]]" not show as "1 m" in (1), but simply as "m" ?

Why does the addition not result in "2 m" ?

At least I had expected the addition to be made when using "evalf()".

 

I have Maple 2016 on Ubuntu 16.04.  I get an error message when attempting to plot with an x11 device, that means I have missing fonts.

I do not get this error message on Ubuntu14.04, so, I think the difference is in fonts installed.

plotsetup(x11)

> plot([sin(x),cos(x)],x=-Pi..Pi);
> Maple X driver failure:BadName (named color or font does not exist)Warning: Cannot convert string "-adobe-helvetica-bold-r-normal--14-*" to type FontStruct
Warning: Cannot convert string "-adobe-helvetica-medium-r-normal--14-*" to type FontStruct

I have xfonts-100dpi and xfonts-75dpi installed.

Any idea what fonts I need to fix this?

 

Tom Dean

Hi Maple People,

I have this Maple command -

printf("%g",p)

where p is a variable I assign.  My problem is that I want to put a new line in the display.

What is the appropriate command?

Regards,

Matt

 

 

Hi all,

I have three points in 3d space say A1=[a11, a12, a13]; A2=[a21, a22, a23] and A3=[a31, a32, a33]. I want to fill the triangle formed by these points. How can I do that?

Thanks is advance.

Hi all,

I have a 3D graph and when I right click on the surface, under style, I can see the option of contour. When I click on that I can see some contour associated with the surface. I want maple to show the values for each contour when I observe it from the top . I want to copy and paste some surfaces in a same figure and campare the contours.

 

Thank you

 

 

 

rather than last time saved file result?

When I open maple script file, it display the result which file created.

however, not the latest result 

it need to move cursor to the end of script and press enter again.


I wish to delete the rows that have imaginery components from my results Matrix. Have tried many variants of for loops etc.

restart

``

``

interface(displayprecision = 3)

3

(1)

(2)

``

interface(rtablesize = 81)

10

(3)

``

``

Ans := Matrix(17, 15, {(1, 1) = `-`, (1, 2) = u0, (1, 3) = u1, (1, 4) = u2, (1, 5) = u3, (1, 6) = P*x, (1, 7) = Py, (1, 8) = Pz, (1, 9) = g0, (1, 10) = g1, (1, 11) = g2, (1, 12) = g3, (1, 13) = u^2, (1, 14) = g^2, (1, 15) = P, (2, 1) = 1, (2, 2) = -.516501806300516366332207827845271720295699875, (2, 3) = .157087667438024041386330713987768482051008262*I, (2, 4) = .113781789011852812312696505223578179747798329*I, (2, 5) = -.877979905726868500805204485093148911811362591, (2, 6) = -45.5583959992909648360043286735679679113587631, (2, 7) = -49.2104104577498887775211368820566392860712299, (2, 8) = -893.5067837*I, (2, 9) = -.866146675707479268632063873487527071333386044, (2, 10) = 0.392015486681650570173437868256055772345022977e-1*I, (2, 11) = -.1411657646*I, (2, 12) = .520820958366521078324036803446408915170112964, (2, 13) = .999999999999999999999999999999999999997268842, (2, 14) = .999999999999999999999999999999999999974976375, (2, 15) = 890.986610791943203054869284606448158021303178*I, (3, 1) = 0, (3, 2) = -.516501806300516366332207827845271720295699875, (3, 3) = -.1570876674*I, (3, 4) = -.1137817890*I, (3, 5) = -.877979905726868500805204485093148911811362591, (3, 6) = 0, (3, 7) = 0, (3, 8) = 0, (3, 9) = 0, (3, 10) = 0, (3, 11) = 0, (3, 12) = 0, (3, 13) = 0, (3, 14) = 0, (3, 15) = 0, (4, 1) = 2, (4, 2) = 1.37465842397864539997343521056744950913464373, (4, 3) = -.4720070715*I, (4, 4) = 1.04887251334709968989772260444378754238846281*I, (4, 5) = -.658208509656740520048240372814155977066034431, (4, 6) = -139.935858043713569770172241394940432701557933, (4, 7) = 1009.16689416507143999697715965318783801532828, (4, 8) = 35.050637050173061427545252165933711014164793*I, (4, 9) = -1.081758215*I, (4, 10) = -.805172606177376737844957657938233921696306905, (4, 11) = 1.28822588438750284892199202326992770781607054, (4, 12) = .370982506039653923963789326359229665746676298*I, (4, 13) = 1.00000000000000000000000000000000000000004448, (4, 14) = 1.00000000000000000000000000000000000002308483, (4, 15) = 1018.21968036744599747318369866423941656487034, (5, 1) = 0, (5, 2) = 1.37465842397864539997343521056744950913464373, (5, 3) = .472007071498869469711464480852290076392886818*I, (5, 4) = -1.048872513*I, (5, 5) = -.658208509656740520048240372814155977066034431, (5, 6) = 0, (5, 7) = 0, (5, 8) = 0, (5, 9) = 0, (5, 10) = 0, (5, 11) = 0, (5, 12) = 0, (5, 13) = 0, (5, 14) = 0, (5, 15) = 0, (6, 1) = 3, (6, 2) = .888607277416217966051928947403779522572804242, (6, 3) = -.106822611437208274601612056689973427508887756, (6, 4) = .227628951666705815052303897780904267397418654, (6, 5) = -.383602784885339918445575993340862111408067307, (6, 6) = -33.2619224164850716022540679651061384838837392, (6, 7) = -70.5221377558306752001316338827006032187340768, (6, 8) = 520.235208378859672763343647578296600919428272, (6, 9) = .403127155352863813666160452061241985268802920, (6, 10) = -.229875128453580499649930605383626391667210087, (6, 11) = -.249025243344440313757976839460134436215711022, (6, 12) = .850077849442508503270095108095866473994329709, (6, 13) = .999999999999999999999999999999999999999999990, (6, 14) = 1.00000000000000000000000000000000000000001494, (6, 15) = 526.046005054204528169704406776278260629227147, (7, 1) = 0, (7, 2) = .888607277416217966051928947403779522572804242, (7, 3) = .106822611437208274601612056689973427508887756, (7, 4) = -.227628951666705815052303897780904267397418654, (7, 5) = -.383602784885339918445575993340862111408067307, (7, 6) = 0, (7, 7) = 0, (7, 8) = 0, (7, 9) = 0, (7, 10) = 0, (7, 11) = 0, (7, 12) = 0, (7, 13) = 0, (7, 14) = 0, (7, 15) = 0, (8, 1) = 4, (8, 2) = .771395089635626888037058585282289072153672569, (8, 3) = -.251315638632409886572894533969222074089643996, (8, 4) = .494467079738422222368894560870844350373447897, (8, 5) = -.311917252680552965184041884461266972741091408, (8, 6) = -35.3773974809076144493333628813387306219066392, (8, 7) = -261.955262605587133808935304231369552994540307, (8, 8) = 267.817639506339708440220037786669249266668237, (8, 9) = .542590138401669145144489319765760630956089296, (8, 10) = -.207306657051038538831939399741694104211987188, (8, 11) = -.745192226522038608473536679495983480516139685, (8, 12) = .327579665398674149197429570862493923635921752, (8, 13) = 1.00000000000000000000000000000000000000000004, (8, 14) = 1.00000000000000000000000000000000000000000070, (8, 15) = 376.295638946336949362327994692547262453058894, (9, 1) = 0, (9, 2) = .771395089635626888037058585282289072153672569, (9, 3) = .251315638632409886572894533969222074089643996, (9, 4) = -.494467079738422222368894560870844350373447897, (9, 5) = -.311917252680552965184041884461266972741091408, (9, 6) = 0, (9, 7) = 0, (9, 8) = 0, (9, 9) = 0, (9, 10) = 0, (9, 11) = 0, (9, 12) = 0, (9, 13) = 0, (9, 14) = 0, (9, 15) = 0, (10, 1) = 5, (10, 2) = -.771395089635626888037058585282289072153672569, (10, 3) = -.251315638632409886572894533969222074089643996, (10, 4) = .494467079738422222368894560870844350373447897, (10, 5) = .311917252680552965184041884461266972741091408, (10, 6) = -35.3773974809076144493333628813387306219066392, (10, 7) = -261.955262605587133808935304231369552994540307, (10, 8) = -267.817639506339708440220037786669249266668237, (10, 9) = .542590138401669145144489319765760630956089296, (10, 10) = .207306657051038538831939399741694104211987188, (10, 11) = .745192226522038608473536679495983480516139685, (10, 12) = .327579665398674149197429570862493923635921752, (10, 13) = 1.00000000000000000000000000000000000000000004, (10, 14) = 1.00000000000000000000000000000000000000000070, (10, 15) = 376.295638946336949362327994692547262453058894, (11, 1) = 0, (11, 2) = -.771395089635626888037058585282289072153672569, (11, 3) = .251315638632409886572894533969222074089643996, (11, 4) = -.494467079738422222368894560870844350373447897, (11, 5) = .311917252680552965184041884461266972741091408, (11, 6) = 0, (11, 7) = 0, (11, 8) = 0, (11, 9) = 0, (11, 10) = 0, (11, 11) = 0, (11, 12) = 0, (11, 13) = 0, (11, 14) = 0, (11, 15) = 0, (12, 1) = 6, (12, 2) = -.888607277416217966051928947403779522572804242, (12, 3) = -.106822611437208274601612056689973427508887756, (12, 4) = .227628951666705815052303897780904267397418654, (12, 5) = .383602784885339918445575993340862111408067307, (12, 6) = -33.2619224164850716022540679651061384838837392, (12, 7) = -70.5221377558306752001316338827006032187340768, (12, 8) = -520.235208378859672763343647578296600919428272, (12, 9) = .403127155352863813666160452061241985268802920, (12, 10) = .229875128453580499649930605383626391667210087, (12, 11) = .249025243344440313757976839460134436215711022, (12, 12) = .850077849442508503270095108095866473994329709, (12, 13) = .999999999999999999999999999999999999999999990, (12, 14) = 1.00000000000000000000000000000000000000001494, (12, 15) = 526.046005054204528169704406776278260629227147, (13, 1) = 0, (13, 2) = -.888607277416217966051928947403779522572804242, (13, 3) = .106822611437208274601612056689973427508887756, (13, 4) = -.227628951666705815052303897780904267397418654, (13, 5) = .383602784885339918445575993340862111408067307, (13, 6) = 0, (13, 7) = 0, (13, 8) = 0, (13, 9) = 0, (13, 10) = 0, (13, 11) = 0, (13, 12) = 0, (13, 13) = 0, (13, 14) = 0, (13, 15) = 0, (14, 1) = 7, (14, 2) = -1.37465842397864539997343521056744950913464373, (14, 3) = -.4720070715*I, (14, 4) = 1.04887251334709968989772260444378754238846281*I, (14, 5) = .658208509656740520048240372814155977066034431, (14, 6) = -139.935858043713569770172241394940432701557933, (14, 7) = 1009.16689416507143999697715965318783801532828, (14, 8) = -35.05063705*I, (14, 9) = -1.081758215*I, (14, 10) = .805172606177376737844957657938233921696306905, (14, 11) = -1.28822588438750284892199202326992770781607054, (14, 12) = .370982506039653923963789326359229665746676298*I, (14, 13) = 1.00000000000000000000000000000000000000004448, (14, 14) = 1.00000000000000000000000000000000000002308483, (14, 15) = 1018.21968036744599747318369866423941656487034, (15, 1) = 0, (15, 2) = -1.37465842397864539997343521056744950913464373, (15, 3) = .472007071498869469711464480852290076392886818*I, (15, 4) = -1.048872513*I, (15, 5) = .658208509656740520048240372814155977066034431, (15, 6) = 0, (15, 7) = 0, (15, 8) = 0, (15, 9) = 0, (15, 10) = 0, (15, 11) = 0, (15, 12) = 0, (15, 13) = 0, (15, 14) = 0, (15, 15) = 0, (16, 1) = 8, (16, 2) = .516501806300516366332207827845271720295699875, (16, 3) = .157087667438024041386330713987768482051008262*I, (16, 4) = .113781789011852812312696505223578179747798329*I, (16, 5) = .877979905726868500805204485093148911811362591, (16, 6) = -45.5583959992909648360043286735679679113587631, (16, 7) = -49.2104104577498887775211368820566392860712299, (16, 8) = 893.506783720169698656724304667952267191687315*I, (16, 9) = -.866146675707479268632063873487527071333386044, (16, 10) = -0.3920154867e-1*I, (16, 11) = .141165764599481508540163197537118257205129796*I, (16, 12) = .520820958366521078324036803446408915170112964, (16, 13) = .999999999999999999999999999999999999997268842, (16, 14) = .999999999999999999999999999999999999974976375, (16, 15) = 890.986610791943203054869284606448158021303178*I, (17, 1) = 0, (17, 2) = .516501806300516366332207827845271720295699875, (17, 3) = -.1570876674*I, (17, 4) = -.1137817890*I, (17, 5) = .877979905726868500805204485093148911811362591, (17, 6) = 0, (17, 7) = 0, (17, 8) = 0, (17, 9) = 0, (17, 10) = 0, (17, 11) = 0, (17, 12) = 0, (17, 13) = 0, (17, 14) = 0, (17, 15) = 0})

Ans := Matrix(17, 15, {(1, 1) = `-`, (1, 2) = u0, (1, 3) = u1, (1, 4) = u2, (1, 5) = u3, (1, 6) = P*x, (1, 7) = Py, (1, 8) = Pz, (1, 9) = g0, (1, 10) = g1, (1, 11) = g2, (1, 12) = g3, (1, 13) = u^2, (1, 14) = g^2, (1, 15) = P, (2, 1) = 1, (2, 2) = -.516501806300516366332207827845271720295699875, (2, 3) = .157087667438024041386330713987768482051008262*I, (2, 4) = .113781789011852812312696505223578179747798329*I, (2, 5) = -.877979905726868500805204485093148911811362591, (2, 6) = -45.5583959992909648360043286735679679113587631, (2, 7) = -49.2104104577498887775211368820566392860712299, (2, 8) = -893.5067837*I, (2, 9) = -.866146675707479268632063873487527071333386044, (2, 10) = 0.392015486681650570173437868256055772345022977e-1*I, (2, 11) = -.1411657646*I, (2, 12) = .520820958366521078324036803446408915170112964, (2, 13) = .999999999999999999999999999999999999997268842, (2, 14) = .999999999999999999999999999999999999974976375, (2, 15) = 890.986610791943203054869284606448158021303178*I, (3, 1) = 0, (3, 2) = -.516501806300516366332207827845271720295699875, (3, 3) = -.1570876674*I, (3, 4) = -.1137817890*I, (3, 5) = -.877979905726868500805204485093148911811362591, (3, 6) = 0, (3, 7) = 0, (3, 8) = 0, (3, 9) = 0, (3, 10) = 0, (3, 11) = 0, (3, 12) = 0, (3, 13) = 0, (3, 14) = 0, (3, 15) = 0, (4, 1) = 2, (4, 2) = 1.37465842397864539997343521056744950913464373, (4, 3) = -.4720070715*I, (4, 4) = 1.04887251334709968989772260444378754238846281*I, (4, 5) = -.658208509656740520048240372814155977066034431, (4, 6) = -139.935858043713569770172241394940432701557933, (4, 7) = 1009.16689416507143999697715965318783801532828, (4, 8) = 35.050637050173061427545252165933711014164793*I, (4, 9) = -1.081758215*I, (4, 10) = -.805172606177376737844957657938233921696306905, (4, 11) = 1.28822588438750284892199202326992770781607054, (4, 12) = .370982506039653923963789326359229665746676298*I, (4, 13) = 1.00000000000000000000000000000000000000004448, (4, 14) = 1.00000000000000000000000000000000000002308483, (4, 15) = 1018.21968036744599747318369866423941656487034, (5, 1) = 0, (5, 2) = 1.37465842397864539997343521056744950913464373, (5, 3) = .472007071498869469711464480852290076392886818*I, (5, 4) = -1.048872513*I, (5, 5) = -.658208509656740520048240372814155977066034431, (5, 6) = 0, (5, 7) = 0, (5, 8) = 0, (5, 9) = 0, (5, 10) = 0, (5, 11) = 0, (5, 12) = 0, (5, 13) = 0, (5, 14) = 0, (5, 15) = 0, (6, 1) = 3, (6, 2) = .888607277416217966051928947403779522572804242, (6, 3) = -.106822611437208274601612056689973427508887756, (6, 4) = .227628951666705815052303897780904267397418654, (6, 5) = -.383602784885339918445575993340862111408067307, (6, 6) = -33.2619224164850716022540679651061384838837392, (6, 7) = -70.5221377558306752001316338827006032187340768, (6, 8) = 520.235208378859672763343647578296600919428272, (6, 9) = .403127155352863813666160452061241985268802920, (6, 10) = -.229875128453580499649930605383626391667210087, (6, 11) = -.249025243344440313757976839460134436215711022, (6, 12) = .850077849442508503270095108095866473994329709, (6, 13) = .999999999999999999999999999999999999999999990, (6, 14) = 1.00000000000000000000000000000000000000001494, (6, 15) = 526.046005054204528169704406776278260629227147, (7, 1) = 0, (7, 2) = .888607277416217966051928947403779522572804242, (7, 3) = .106822611437208274601612056689973427508887756, (7, 4) = -.227628951666705815052303897780904267397418654, (7, 5) = -.383602784885339918445575993340862111408067307, (7, 6) = 0, (7, 7) = 0, (7, 8) = 0, (7, 9) = 0, (7, 10) = 0, (7, 11) = 0, (7, 12) = 0, (7, 13) = 0, (7, 14) = 0, (7, 15) = 0, (8, 1) = 4, (8, 2) = .771395089635626888037058585282289072153672569, (8, 3) = -.251315638632409886572894533969222074089643996, (8, 4) = .494467079738422222368894560870844350373447897, (8, 5) = -.311917252680552965184041884461266972741091408, (8, 6) = -35.3773974809076144493333628813387306219066392, (8, 7) = -261.955262605587133808935304231369552994540307, (8, 8) = 267.817639506339708440220037786669249266668237, (8, 9) = .542590138401669145144489319765760630956089296, (8, 10) = -.207306657051038538831939399741694104211987188, (8, 11) = -.745192226522038608473536679495983480516139685, (8, 12) = .327579665398674149197429570862493923635921752, (8, 13) = 1.00000000000000000000000000000000000000000004, (8, 14) = 1.00000000000000000000000000000000000000000070, (8, 15) = 376.295638946336949362327994692547262453058894, (9, 1) = 0, (9, 2) = .771395089635626888037058585282289072153672569, (9, 3) = .251315638632409886572894533969222074089643996, (9, 4) = -.494467079738422222368894560870844350373447897, (9, 5) = -.311917252680552965184041884461266972741091408, (9, 6) = 0, (9, 7) = 0, (9, 8) = 0, (9, 9) = 0, (9, 10) = 0, (9, 11) = 0, (9, 12) = 0, (9, 13) = 0, (9, 14) = 0, (9, 15) = 0, (10, 1) = 5, (10, 2) = -.771395089635626888037058585282289072153672569, (10, 3) = -.251315638632409886572894533969222074089643996, (10, 4) = .494467079738422222368894560870844350373447897, (10, 5) = .311917252680552965184041884461266972741091408, (10, 6) = -35.3773974809076144493333628813387306219066392, (10, 7) = -261.955262605587133808935304231369552994540307, (10, 8) = -267.817639506339708440220037786669249266668237, (10, 9) = .542590138401669145144489319765760630956089296, (10, 10) = .207306657051038538831939399741694104211987188, (10, 11) = .745192226522038608473536679495983480516139685, (10, 12) = .327579665398674149197429570862493923635921752, (10, 13) = 1.00000000000000000000000000000000000000000004, (10, 14) = 1.00000000000000000000000000000000000000000070, (10, 15) = 376.295638946336949362327994692547262453058894, (11, 1) = 0, (11, 2) = -.771395089635626888037058585282289072153672569, (11, 3) = .251315638632409886572894533969222074089643996, (11, 4) = -.494467079738422222368894560870844350373447897, (11, 5) = .311917252680552965184041884461266972741091408, (11, 6) = 0, (11, 7) = 0, (11, 8) = 0, (11, 9) = 0, (11, 10) = 0, (11, 11) = 0, (11, 12) = 0, (11, 13) = 0, (11, 14) = 0, (11, 15) = 0, (12, 1) = 6, (12, 2) = -.888607277416217966051928947403779522572804242, (12, 3) = -.106822611437208274601612056689973427508887756, (12, 4) = .227628951666705815052303897780904267397418654, (12, 5) = .383602784885339918445575993340862111408067307, (12, 6) = -33.2619224164850716022540679651061384838837392, (12, 7) = -70.5221377558306752001316338827006032187340768, (12, 8) = -520.235208378859672763343647578296600919428272, (12, 9) = .403127155352863813666160452061241985268802920, (12, 10) = .229875128453580499649930605383626391667210087, (12, 11) = .249025243344440313757976839460134436215711022, (12, 12) = .850077849442508503270095108095866473994329709, (12, 13) = .999999999999999999999999999999999999999999990, (12, 14) = 1.00000000000000000000000000000000000000001494, (12, 15) = 526.046005054204528169704406776278260629227147, (13, 1) = 0, (13, 2) = -.888607277416217966051928947403779522572804242, (13, 3) = .106822611437208274601612056689973427508887756, (13, 4) = -.227628951666705815052303897780904267397418654, (13, 5) = .383602784885339918445575993340862111408067307, (13, 6) = 0, (13, 7) = 0, (13, 8) = 0, (13, 9) = 0, (13, 10) = 0, (13, 11) = 0, (13, 12) = 0, (13, 13) = 0, (13, 14) = 0, (13, 15) = 0, (14, 1) = 7, (14, 2) = -1.37465842397864539997343521056744950913464373, (14, 3) = -.4720070715*I, (14, 4) = 1.04887251334709968989772260444378754238846281*I, (14, 5) = .658208509656740520048240372814155977066034431, (14, 6) = -139.935858043713569770172241394940432701557933, (14, 7) = 1009.16689416507143999697715965318783801532828, (14, 8) = -35.05063705*I, (14, 9) = -1.081758215*I, (14, 10) = .805172606177376737844957657938233921696306905, (14, 11) = -1.28822588438750284892199202326992770781607054, (14, 12) = .370982506039653923963789326359229665746676298*I, (14, 13) = 1.00000000000000000000000000000000000000004448, (14, 14) = 1.00000000000000000000000000000000000002308483, (14, 15) = 1018.21968036744599747318369866423941656487034, (15, 1) = 0, (15, 2) = -1.37465842397864539997343521056744950913464373, (15, 3) = .472007071498869469711464480852290076392886818*I, (15, 4) = -1.048872513*I, (15, 5) = .658208509656740520048240372814155977066034431, (15, 6) = 0, (15, 7) = 0, (15, 8) = 0, (15, 9) = 0, (15, 10) = 0, (15, 11) = 0, (15, 12) = 0, (15, 13) = 0, (15, 14) = 0, (15, 15) = 0, (16, 1) = 8, (16, 2) = .516501806300516366332207827845271720295699875, (16, 3) = .157087667438024041386330713987768482051008262*I, (16, 4) = .113781789011852812312696505223578179747798329*I, (16, 5) = .877979905726868500805204485093148911811362591, (16, 6) = -45.5583959992909648360043286735679679113587631, (16, 7) = -49.2104104577498887775211368820566392860712299, (16, 8) = 893.506783720169698656724304667952267191687315*I, (16, 9) = -.866146675707479268632063873487527071333386044, (16, 10) = -0.3920154867e-1*I, (16, 11) = .141165764599481508540163197537118257205129796*I, (16, 12) = .520820958366521078324036803446408915170112964, (16, 13) = .999999999999999999999999999999999999997268842, (16, 14) = .999999999999999999999999999999999999974976375, (16, 15) = 890.986610791943203054869284606448158021303178*I, (17, 1) = 0, (17, 2) = .516501806300516366332207827845271720295699875, (17, 3) = -.1570876674*I, (17, 4) = -.1137817890*I, (17, 5) = .877979905726868500805204485093148911811362591, (17, 6) = 0, (17, 7) = 0, (17, 8) = 0, (17, 9) = 0, (17, 10) = 0, (17, 11) = 0, (17, 12) = 0, (17, 13) = 0, (17, 14) = 0, (17, 15) = 0})

(4)

``

(5)

"seq( if 'has'(Ans(n,1..15) ,Im<>0) then DeleteRow (Ans(n) )end if,n=2..17)"

Error, invalid argument sequence

"seq( if 'has'(Ans(n,1..15) ,Im<>0) then DeleteRow (Ans(n) )end if,n=2..17)"

 

Ans

Matrix(17, 15, {(1, 1) = `-`, (1, 2) = u0, (1, 3) = u1, (1, 4) = u2, (1, 5) = u3, (1, 6) = P*x, (1, 7) = Py, (1, 8) = Pz, (1, 9) = g0, (1, 10) = g1, (1, 11) = g2, (1, 12) = g3, (1, 13) = u^2, (1, 14) = g^2, (1, 15) = P, (2, 1) = 1, (2, 2) = -.516501806300516366332207827845271720295699875, (2, 3) = .157087667438024041386330713987768482051008262*I, (2, 4) = .113781789011852812312696505223578179747798329*I, (2, 5) = -.877979905726868500805204485093148911811362591, (2, 6) = -45.5583959992909648360043286735679679113587631, (2, 7) = -49.2104104577498887775211368820566392860712299, (2, 8) = -893.5067837*I, (2, 9) = -.866146675707479268632063873487527071333386044, (2, 10) = 0.392015486681650570173437868256055772345022977e-1*I, (2, 11) = -.1411657646*I, (2, 12) = .520820958366521078324036803446408915170112964, (2, 13) = .999999999999999999999999999999999999997268842, (2, 14) = .999999999999999999999999999999999999974976375, (2, 15) = 890.986610791943203054869284606448158021303178*I, (3, 1) = 0, (3, 2) = -.516501806300516366332207827845271720295699875, (3, 3) = -.1570876674*I, (3, 4) = -.1137817890*I, (3, 5) = -.877979905726868500805204485093148911811362591, (3, 6) = 0, (3, 7) = 0, (3, 8) = 0, (3, 9) = 0, (3, 10) = 0, (3, 11) = 0, (3, 12) = 0, (3, 13) = 0, (3, 14) = 0, (3, 15) = 0, (4, 1) = 2, (4, 2) = 1.37465842397864539997343521056744950913464373, (4, 3) = -.4720070715*I, (4, 4) = 1.04887251334709968989772260444378754238846281*I, (4, 5) = -.658208509656740520048240372814155977066034431, (4, 6) = -139.935858043713569770172241394940432701557933, (4, 7) = 1009.16689416507143999697715965318783801532828, (4, 8) = 35.050637050173061427545252165933711014164793*I, (4, 9) = -1.081758215*I, (4, 10) = -.805172606177376737844957657938233921696306905, (4, 11) = 1.28822588438750284892199202326992770781607054, (4, 12) = .370982506039653923963789326359229665746676298*I, (4, 13) = 1.00000000000000000000000000000000000000004448, (4, 14) = 1.00000000000000000000000000000000000002308483, (4, 15) = 1018.21968036744599747318369866423941656487034, (5, 1) = 0, (5, 2) = 1.37465842397864539997343521056744950913464373, (5, 3) = .472007071498869469711464480852290076392886818*I, (5, 4) = -1.048872513*I, (5, 5) = -.658208509656740520048240372814155977066034431, (5, 6) = 0, (5, 7) = 0, (5, 8) = 0, (5, 9) = 0, (5, 10) = 0, (5, 11) = 0, (5, 12) = 0, (5, 13) = 0, (5, 14) = 0, (5, 15) = 0, (6, 1) = 3, (6, 2) = .888607277416217966051928947403779522572804242, (6, 3) = -.106822611437208274601612056689973427508887756, (6, 4) = .227628951666705815052303897780904267397418654, (6, 5) = -.383602784885339918445575993340862111408067307, (6, 6) = -33.2619224164850716022540679651061384838837392, (6, 7) = -70.5221377558306752001316338827006032187340768, (6, 8) = 520.235208378859672763343647578296600919428272, (6, 9) = .403127155352863813666160452061241985268802920, (6, 10) = -.229875128453580499649930605383626391667210087, (6, 11) = -.249025243344440313757976839460134436215711022, (6, 12) = .850077849442508503270095108095866473994329709, (6, 13) = .999999999999999999999999999999999999999999990, (6, 14) = 1.00000000000000000000000000000000000000001494, (6, 15) = 526.046005054204528169704406776278260629227147, (7, 1) = 0, (7, 2) = .888607277416217966051928947403779522572804242, (7, 3) = .106822611437208274601612056689973427508887756, (7, 4) = -.227628951666705815052303897780904267397418654, (7, 5) = -.383602784885339918445575993340862111408067307, (7, 6) = 0, (7, 7) = 0, (7, 8) = 0, (7, 9) = 0, (7, 10) = 0, (7, 11) = 0, (7, 12) = 0, (7, 13) = 0, (7, 14) = 0, (7, 15) = 0, (8, 1) = 4, (8, 2) = .771395089635626888037058585282289072153672569, (8, 3) = -.251315638632409886572894533969222074089643996, (8, 4) = .494467079738422222368894560870844350373447897, (8, 5) = -.311917252680552965184041884461266972741091408, (8, 6) = -35.3773974809076144493333628813387306219066392, (8, 7) = -261.955262605587133808935304231369552994540307, (8, 8) = 267.817639506339708440220037786669249266668237, (8, 9) = .542590138401669145144489319765760630956089296, (8, 10) = -.207306657051038538831939399741694104211987188, (8, 11) = -.745192226522038608473536679495983480516139685, (8, 12) = .327579665398674149197429570862493923635921752, (8, 13) = 1.00000000000000000000000000000000000000000004, (8, 14) = 1.00000000000000000000000000000000000000000070, (8, 15) = 376.295638946336949362327994692547262453058894, (9, 1) = 0, (9, 2) = .771395089635626888037058585282289072153672569, (9, 3) = .251315638632409886572894533969222074089643996, (9, 4) = -.494467079738422222368894560870844350373447897, (9, 5) = -.311917252680552965184041884461266972741091408, (9, 6) = 0, (9, 7) = 0, (9, 8) = 0, (9, 9) = 0, (9, 10) = 0, (9, 11) = 0, (9, 12) = 0, (9, 13) = 0, (9, 14) = 0, (9, 15) = 0, (10, 1) = 5, (10, 2) = -.771395089635626888037058585282289072153672569, (10, 3) = -.251315638632409886572894533969222074089643996, (10, 4) = .494467079738422222368894560870844350373447897, (10, 5) = .311917252680552965184041884461266972741091408, (10, 6) = -35.3773974809076144493333628813387306219066392, (10, 7) = -261.955262605587133808935304231369552994540307, (10, 8) = -267.817639506339708440220037786669249266668237, (10, 9) = .542590138401669145144489319765760630956089296, (10, 10) = .207306657051038538831939399741694104211987188, (10, 11) = .745192226522038608473536679495983480516139685, (10, 12) = .327579665398674149197429570862493923635921752, (10, 13) = 1.00000000000000000000000000000000000000000004, (10, 14) = 1.00000000000000000000000000000000000000000070, (10, 15) = 376.295638946336949362327994692547262453058894, (11, 1) = 0, (11, 2) = -.771395089635626888037058585282289072153672569, (11, 3) = .251315638632409886572894533969222074089643996, (11, 4) = -.494467079738422222368894560870844350373447897, (11, 5) = .311917252680552965184041884461266972741091408, (11, 6) = 0, (11, 7) = 0, (11, 8) = 0, (11, 9) = 0, (11, 10) = 0, (11, 11) = 0, (11, 12) = 0, (11, 13) = 0, (11, 14) = 0, (11, 15) = 0, (12, 1) = 6, (12, 2) = -.888607277416217966051928947403779522572804242, (12, 3) = -.106822611437208274601612056689973427508887756, (12, 4) = .227628951666705815052303897780904267397418654, (12, 5) = .383602784885339918445575993340862111408067307, (12, 6) = -33.2619224164850716022540679651061384838837392, (12, 7) = -70.5221377558306752001316338827006032187340768, (12, 8) = -520.235208378859672763343647578296600919428272, (12, 9) = .403127155352863813666160452061241985268802920, (12, 10) = .229875128453580499649930605383626391667210087, (12, 11) = .249025243344440313757976839460134436215711022, (12, 12) = .850077849442508503270095108095866473994329709, (12, 13) = .999999999999999999999999999999999999999999990, (12, 14) = 1.00000000000000000000000000000000000000001494, (12, 15) = 526.046005054204528169704406776278260629227147, (13, 1) = 0, (13, 2) = -.888607277416217966051928947403779522572804242, (13, 3) = .106822611437208274601612056689973427508887756, (13, 4) = -.227628951666705815052303897780904267397418654, (13, 5) = .383602784885339918445575993340862111408067307, (13, 6) = 0, (13, 7) = 0, (13, 8) = 0, (13, 9) = 0, (13, 10) = 0, (13, 11) = 0, (13, 12) = 0, (13, 13) = 0, (13, 14) = 0, (13, 15) = 0, (14, 1) = 7, (14, 2) = -1.37465842397864539997343521056744950913464373, (14, 3) = -.4720070715*I, (14, 4) = 1.04887251334709968989772260444378754238846281*I, (14, 5) = .658208509656740520048240372814155977066034431, (14, 6) = -139.935858043713569770172241394940432701557933, (14, 7) = 1009.16689416507143999697715965318783801532828, (14, 8) = -35.05063705*I, (14, 9) = -1.081758215*I, (14, 10) = .805172606177376737844957657938233921696306905, (14, 11) = -1.28822588438750284892199202326992770781607054, (14, 12) = .370982506039653923963789326359229665746676298*I, (14, 13) = 1.00000000000000000000000000000000000000004448, (14, 14) = 1.00000000000000000000000000000000000002308483, (14, 15) = 1018.21968036744599747318369866423941656487034, (15, 1) = 0, (15, 2) = -1.37465842397864539997343521056744950913464373, (15, 3) = .472007071498869469711464480852290076392886818*I, (15, 4) = -1.048872513*I, (15, 5) = .658208509656740520048240372814155977066034431, (15, 6) = 0, (15, 7) = 0, (15, 8) = 0, (15, 9) = 0, (15, 10) = 0, (15, 11) = 0, (15, 12) = 0, (15, 13) = 0, (15, 14) = 0, (15, 15) = 0, (16, 1) = 8, (16, 2) = .516501806300516366332207827845271720295699875, (16, 3) = .157087667438024041386330713987768482051008262*I, (16, 4) = .113781789011852812312696505223578179747798329*I, (16, 5) = .877979905726868500805204485093148911811362591, (16, 6) = -45.5583959992909648360043286735679679113587631, (16, 7) = -49.2104104577498887775211368820566392860712299, (16, 8) = 893.506783720169698656724304667952267191687315*I, (16, 9) = -.866146675707479268632063873487527071333386044, (16, 10) = -0.3920154867e-1*I, (16, 11) = .141165764599481508540163197537118257205129796*I, (16, 12) = .520820958366521078324036803446408915170112964, (16, 13) = .999999999999999999999999999999999999997268842, (16, 14) = .999999999999999999999999999999999999974976375, (16, 15) = 890.986610791943203054869284606448158021303178*I, (17, 1) = 0, (17, 2) = .516501806300516366332207827845271720295699875, (17, 3) = -.1570876674*I, (17, 4) = -.1137817890*I, (17, 5) = .877979905726868500805204485093148911811362591, (17, 6) = 0, (17, 7) = 0, (17, 8) = 0, (17, 9) = 0, (17, 10) = 0, (17, 11) = 0, (17, 12) = 0, (17, 13) = 0, (17, 14) = 0, (17, 15) = 0})

(6)

``

``

 

Download matrix_imaginery_elements.mw

I have the following command.

with(StringTools);
message := `Kajian ini mempunyai tiga objektif pertama seperti yang ditunjukkan dalam bahagian 1.11. Objektif tersebut harus`;

m := convert(message, bytes);

block := map(convert, m, binary);
block := map2(nprintf, "%08d", block);
block := map(proc (t) options operator, arrow; [seq(parse(convert(t, string)[i]), i = 1 .. length(convert(t, string)))] end proc, block);

block := [[0, 1, 0, 0, 1, 0, 1, 1], [0, 1, 1, 0, 0, 0, 0, 1], [0, 1, 1, 0, 1, 0, 1, 0], [0, 1, 1, 0, 1, 0, 0, 1], ........]

with(Bits);
for i to l do
for j from 3 to 7 do
block[i][j] := 1-block[i][j];  //used to flip bit in between 3rd to 7th bit in a block
end do;
c_block[i] := block[i];
end do;
c_block1 := [seq(c_block[i], i = 1 .. l)];

Error, assigning to a long list, please use Arrays

May i know how to solve this problem? I need to change some bit in a list but receive error when there is more than 100 elements in a list. Thank you.

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