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lcz

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6 years, 130 days
changsha, China
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These are questions asked by lcz

Why did Maple miss the multiplication s...

lcz 994 Maple 2020
multiplication syntax
June 22 2020
2 3

Theoretically, if the multiplication sign  is missed Maple needs to give reminders or warnings.But the following is not the case, why？I am surprised its output. 

x:=1
                             x := 1
x(2+1)# Actually, I want to enter x*(2+1)

                               1
x(sin(y))# Actually, I want to enter x*(sin(y))
                               1

value is not effective for activating ...

lcz 994 Maple 2020
June 19 2020
3 5

I read  help document of :

with(Physics[Vectors]):
(%Nabla)(f(x,y,z))
value(%)

 

But if I want to use Composition function , is it not useful? why? how to do?

(%Nabla@@4)(f(x,y,z));
value(%)

we know that:

(Nabla@@4)(f(x,y,z))

 

how to explain the output of the functi...

lcz 994 Maple 2020
graphtheory autocorrelation group
June 17 2020
1 1

 I want to find AutomorphismGroup  of star S4 (ie, K1,3).

with(GraphTheory):
with(GroupTheory):
with(SpecialGraphs):
S4:=CompleteGraph(1,3);
G1 := AutomorphismGroup(S4); # out is GroupTheory:-PermutationGroup({module() ... end module,module() ... end module},degree=4)

 

 

the S_4 has six automorphisms: (1, 2, 3), (1, 3, 2), (2, 1, 3), (2, 3, 1), (3, 1, 2,), (3, 2, 1):

GraphAutomorphismStar

For the output of maple ,I cannot understand.

Maybe I don’t understand the group enough. May somebody explain in detail,  Thanks!

How to prove one function is linear tran...

lcz 994 Maple 2020
June 14 2020
1 0

 Today I read the  Problem 5.21 from book Maple and Mathematica, A Problem Solving Approach for Mathematics:

The book uses following codes:

with(LinearAlgebra): n:=9; v:=Vector(n); T:=v->add(v[i]*x^(i-1),i=1..n); P:=Vector(n,symbol=p); Q:=Vector(n,symbol=q); Z1:=T(a*P+b*Q); Z2:=a*T(P)+b*T(Q);
expand(T(a*P+b*Q)-(a*T(P)+b*T(Q)));
evalb(expand(Z1)=expand(Z2));

But I think  these codes just verify rather than prove(n is always specific number). This example is not difficult to prove by hand. but I'd like to know Maple how to prove it. It seems not easy.

 

 

 

 

 

 

 

 

 

 

 

Bug of  ChromaticNumber?...

lcz 994 Maple 2020
graphtheory
May 14 2020
1 5

I'd like to find chromatic number of some graphs. But I find a strange thing of function ChromaticNumber. 

with(GraphTheory):
g1:=Graph(4):
DrawGraph(g1);
ChromaticNumber(g1)

It is Ok!

But when I use following codes, an error will be issued.

with(GraphTheory):
graphsof4 := [NonIsomorphicGraphs(4, output = graphs, outputform = graph)]:
DrawGraph(graphsof4[1]);
ChromaticNumber(graphsof4[1]);
 

 

 

 

 

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