Also, it could be done using MTM:-sum, which, actually, calls ArrayTools:-AddAlongDimension, but it is shorter to type,

MTM:-sum(test,2)[1];

                     T[1, 1] + T[1, 2] + T[1, 3]

Alec

Also, it could be done using MTM:-sum, which, actually, calls ArrayTools:-AddAlongDimension, but it is shorter to type,

MTM:-sum(test,2)[1];

                     T[1, 1] + T[1, 2] + T[1, 3]

Alec

No, not all of my posts got deleted, just some of them. They got deleted by moderators - the regular users had originally the ability to delete the thread that they had started, together with all other people comments in it, but it had been fixed several years ago, I think.

That, generally, is one of the reasons why I (historically) got disappointed with Maple in general and its management in particular. I don't think that I can go into details here without risking this post being deleted as well, but I might do that in some other place - either on Windows Live (where comments are allowed, but I have some control over them), or on mapleadvisor site (where I have comments disabled at the moment, not whishing checking it every day and delete spam.)

Alec

It is interesting that the original procedure, slightly modified, works even without using the permutations, 

Does that mean that Thomas Richard won't provide Maple help anymore in Germany? Or you hired him?

Alec

it should be either discont=true or simply discont instead of discont=false - otherwise the vertical asymptote is plotted red instead of green. For the dashed line style, option linestyle=dashdot can be used in the implicitplot.

I would use more simple commands for plotting - something like

f:=(x^2-4*x+5)/(x-2):
a:=Student:-Calculus1:-Asymptotes(f,x);

                       a := [y = x - 2, x = 2]

i:=x=-5..5,y=-5..5:
plots:-display(plot(f,i,discont),
   plots:-implicitplot(a,i,linestyle=dashdot));

Alec

it should be either discont=true or simply discont instead of discont=false - otherwise the vertical asymptote is plotted red instead of green. For the dashed line style, option linestyle=dashdot can be used in the implicitplot.

I would use more simple commands for plotting - something like

f:=(x^2-4*x+5)/(x-2):
a:=Student:-Calculus1:-Asymptotes(f,x);

                       a := [y = x - 2, x = 2]

i:=x=-5..5,y=-5..5:
plots:-display(plot(f,i,discont),
   plots:-implicitplot(a,i,linestyle=dashdot));

Alec

Alejandro,

Whatever was the purpose of your remarks, they should be at least stated in more polite form - something like "In the languages in my country and my region, the America is a continent and not a country" and "Your meaning is clear, but translated literally to my language, the usage would be wrong."

The way you phrased it, especially considering that you did that in my blog and not in a forum, is also rather rude.

Being a multinational community and using English language, means using the English language standards, in which America primarily means a country and not a continent, which is rather clear stated in such multinational project as wikipedia in the articles that I cited and other related places.

Alec

I agree with Jacques. If you want to use a social networking, why not to use it more fully, as it is implemented on Facebook and MySpace, for instance, with Friends feature, chat, allowing to display a part of your profile only to friends, and discuss some selected topics only with friends, or, maybe, even only with a selected group of friends? It was suggested earlier in the Mapleprimes suggestions forum, which has a series of other useful suggestions as well.

Alec

Alejandro,

Don't you think that is rather rude to tell people living in other countries how they should call their country? In our language (American English) we call it America. If it is called different in some other languages, has nothing to do with that.

It is even worse that if somebody, say, tell a person living in England that they use a wrong wrong "lift" for an elevator, because it is called an elevator in their countries. In this case it is not a lift - it is the country's name.

If I see a bumper sticker saying "Proud to be American", I'm sure that the person saying that he or she is proud to be a citizen of the United States of America and not living on the American continent.

If I see label "Made in America", I expect the product to be made in the United States of America and not in Honduras or Canada.

If somebody is talking about American financial market, it means the financial market in the USA and not a store in Costa Rica exchanging currencies.

If you are not sure about correct usage of this or another word in our language, and automatically assume that it is the same as in the languages used in your country or a region, then it is wrong. Reread the wikipedia articles again and post your complaints on the discussion page there if you wish. I don't see the reason putting them in my blog dedicated to completely different topic.

Alec

It is usual and widely used (not only here, but in many other countries) shortcut for the United States of America. When people speak about America as a continent, the word "continent" is usually added, or word Americas is used.

The wikipedia article about United States starts with

• The United States of America (commonly referred to as the United States, the U.S., the USA, or America)

The Americas article in wikipedia says:

• America may be ambiguous in English, as it is more commonly used to refer to the United States of America

You may agree with that, or not, and even think that it is wrong for some reason, but it is a standard usage.

Such shortcuts of a multi-word country name to one word exist in many other cases, not only for the USA. In particular, Russian Federation (and even Soviet Union in past) is usually called Russia.

I don't see what could be possibly wrong with that.

Alec

In America (meaning the USA), there are 3 types of educational institutions - private, public, and "for profit" (like Kaplan), or "independent" (which usually means serving some specific group of people). The quality of education in private schools is significantly better than in public, and the quality of education in public schools is significantly better than in "for profit" or "independent" schools.

The difference is mostly not in the tuition size (which is also important, however), but in the selection process. Private schools are highly selective, they accept only the best students. Public schools, such as state universities, are not only less selective, but their duty is to provide education for every person living in the state, who would like to have one. "For profit" schools don't have selection at all - they accept everybody paying money to get a degree. Same for "independent" schools - they accept everybody from the specific group of population that they serve.

Independently of that, after getting a degree, people from "for profit" or "independent" schools have less problems with finding a job than people from public schools, and people with a degree from a public school have less problems with finding a job than people graduating from private schools.

On the other hand - the jobs that they get are different ones. People from "for profit" schools often have a job already - they just need a degree allowing them to do it. People from "independent" schools apply for jobs with low salaries for which people graduating from public or private schools don't even apply. Similarly, the average salary of graduates from public schools is less (sometimes significantly) than the average salary of people graduating from private schools.

Alec

Yes, and also CharacteristicPolynomial can be used,

simplify(LinearAlgebra:-CharacteristicPolynomial(A,x));

                        2
                       x  - 2 cos(theta) x + 1

simplify(LinearAlgebra:-CharacteristicPolynomial(B,x));

                        2
                       x  - 2 cos(theta) x + 1

B is normal because it is diagonal, and A is normal because it is unitary,

LinearAlgebra:-IsUnitary(A) assuming real;

                                 true

B is also unitary, by the way

LinearAlgebra:-IsUnitary(B) assuming real;

                                 true

It seems strange that Maple is missing IsNormal command, because it is something that is useful and is easy to check (even just by definition.)

Alec

Yes, and also CharacteristicPolynomial can be used,

simplify(LinearAlgebra:-CharacteristicPolynomial(A,x));

                        2
                       x  - 2 cos(theta) x + 1

simplify(LinearAlgebra:-CharacteristicPolynomial(B,x));

                        2
                       x  - 2 cos(theta) x + 1

B is normal because it is diagonal, and A is normal because it is unitary,

LinearAlgebra:-IsUnitary(A) assuming real;

                                 true

B is also unitary, by the way

LinearAlgebra:-IsUnitary(B) assuming real;

                                 true

It seems strange that Maple is missing IsNormal command, because it is something that is useful and is easy to check (even just by definition.)

Alec