cubic equation's root transformation
flag
Messages 1 - 10 of 273 - Collapse all
/groups/adfetch?adid=UUqz5xIAAAAAqclVq24smixdcYBZlC3Axyxpo7bMRVgpn9ZMKisPfQ
cubic equation's root transformation  
The group you are posting to is a Usenet group. Messages posted to this group will make your email address visible to anyone on the Internet.
Your reply message has not been sent.
Your post was successful
 
From:
To:
Cc:
Followup To:
Add Cc | Add Followup-to | Edit Subject
Subject:
Validation:
For verification purposes please type the characters you see in the picture below or the numbers you hear by clicking the accessibility icon. Listen and type the numbers you hear
 
1.  Shaul Rabinovich  
View profile  
 More options Jan 1 2004, 3:32 am
Newsgroups: comp.soft-sys.math.maple
From: sav...@eng.tau.ac.il (Shaul Rabinovich)
Date: 1 Jan 2004 00:32:24 -0800
Local: Thurs, Jan 1 2004 3:32 am
Subject: Re: cubic equation's root transformation
"Edwin Clark" <ecl...@math.usf.edu> wrote in message <news:r%JIb.162230$%h4.13617@twister.tampabay.rr.com>...
> The two expression are not equal. For example, let p = 1 and q = 0 then the
> first is 1 and the second is (-1)^(1/3) which Maple considers as
> (1+sqrt(3)*I)/2. If you used surd(-1,3) instead of (-1)^(1/3) you get -1
> which is still different from 1.

Of course, you are right - I droped the sign while copying.  And, of
course, (-1)^(1/3)=-1.

> Or, did you know that and just want to make the transformation anyhow? In
> that case the only thing I can think of now is:

>  > A:=-p/(-q+(q^2+p^3)^(1/2))^(1/3):
> > denom(A):
> > op([1,1],%)-op([1,2],%):
> > %^(1/3);

>                                2    3 1/2 (1/3)
>                        (-q - (q  + p )   )

Great!  Thank you very much and Happy New Year!

Shaul


    Forward  
You must Sign in before you can post messages.
To post a message you must first join this group.
Please update your nickname on the subscription settings page before posting.
You do not have the permission required to post.
I am still trying to get into the spirit of Maple  
1.  Axel Vogt  
View profile  
 More options Jan 1 2004, 5:28 am
Newsgroups: comp.soft-sys.math.maple
From: Axel Vogt <nom...@axelvogt.de>
Date: Thu, 01 Jan 2004 11:30:36 +0100
Local: Thurs, Jan 1 2004 5:30 am
Subject: Re: I am still trying to get into the spirit of Maple

Hm, i am also at an age where it's easier to use social
skills :-) At least i do not need Math or Maple for my job.
I see what you mean and for me the system often is too mighty.
May be you find systematic help in 2 lectures by Roger Kraft:
"Maple For Math Majors" and "Programming in Maple",
http://ems.calumet.purdue.edu/mcss/kraftrl/mfmm/ and
http://www.mapleapps.com/powertools/programming/Programming.shtml

Axel
---
remove the no to email me


    Forward  
You must Sign in before you can post messages.
To post a message you must first join this group.
Please update your nickname on the subscription settings page before posting.
You do not have the permission required to post.
2.  Carl Devore  
View profile  
 More options Jan 1 2004, 11:20 am
Newsgroups: comp.soft-sys.math.maple
From: Carl Devore <dev...@math.udel.edu>
Date: Thu, 1 Jan 2004 11:13:51 -0500
Local: Thurs, Jan 1 2004 11:13 am
Subject: Re: I am still trying to get into the spirit of Maple

On Wed, 31 Dec 2003, Repeating Rifle wrote:
> Maple is still driving me crazy. I don't know where in the manuals to find
> this kind of help. The program help does not tell me what to do with the ..
> and things like that.

Try reading the _Learning Guide_.  In particular, that covers the asssume
and assuming commands.

I'd recommend quickly reading all the manuals  *** even if you can't
understand them ***  yet.  Do the same with as many on the help pages as
you can.  Then reread everything quickly every few months.  A few more
things will make sense on each reading.  Eventually it will all "click"  
together.  That is how I learn any computer package.


    Forward  
You must Sign in before you can post messages.
To post a message you must first join this group.
Please update your nickname on the subscription settings page before posting.
You do not have the permission required to post.
3.  Repeating Rifle  
View profile  
 More options Jan 1 2004, 2:03 pm
Newsgroups: comp.soft-sys.math.maple
From: Repeating Rifle <Salmon...@sbcglobal.net>
Date: Thu, 01 Jan 2004 19:02:35 GMT
Local: Thurs, Jan 1 2004 2:02 pm
Subject: Re: I am still trying to get into the spirit of Maple
in article Pine.LNX.4.44.0401011107230.1089-100...@ariel.math.udel.edu, Carl
Devore at dev...@math.udel.edu wrote on 1/1/04 8:13 AM:

> On Wed, 31 Dec 2003, Repeating Rifle wrote:
>> Maple is still driving me crazy. I don't know where in the manuals to find
>> this kind of help. The program help does not tell me what to do with the ..
>> and things like that.

> Try reading the _Learning Guide_.  In particular, that covers the asssume
> and assuming commands.

> I'd recommend quickly reading all the manuals  *** even if you can't
> understand them ***  yet.  Do the same with as many on the help pages as
> you can.  Then reread everything quickly every few months.  A few more
> things will make sense on each reading.  Eventually it will all "click"
> together.  That is how I learn any computer package.

I have been using the learning guide. While it is essential, it certainly is
not complete.

I guess what I really would like is a *method book* such is used for
learning music and computer programming in my early days. You are given a
few elements to understand. Then you solve simple programs. Then a few more
elements used to solve a few more complicated problems. That way you build
up your capability to do real things without having to swallow chunks that
get stuck in you throat.

That is how I learned Pascal and Dartmouth BASIC before that. That is the
way I worked on IBM plugboard computers and tab machines. That was how I
programmed analog computers. A little piece at a time. That certainly was
the way to learn programming on calculators such as the HP-67.

Bill


    Forward  
You must Sign in before you can post messages.
To post a message you must first join this group.
Please update your nickname on the subscription settings page before posting.
You do not have the permission required to post.
4.  Carl Devore  
View profile  
 More options Jan 1 2004, 12:10 pm
Newsgroups: comp.soft-sys.math.maple
From: Carl Devore <dev...@math.udel.edu>
Date: Thu, 1 Jan 2004 12:04:52 -0500
Local: Thurs, Jan 1 2004 12:04 pm
Subject: Re: I am still trying to get into the spirit of Maple

On Wed, 31 Dec 2003, Repeating Rifle wrote:
> I guess the problem is that without going through a comprehesnive tutorial,
> finding out that the Maple "assume" should be used seems to be a pretty hit
> or miss affair.

I consider the "assume" command fundamental, but I guess that Maplesoft
does not because I can't find it in the prepackaged tutorials.  When I
teach Maple to freshman, I include assume in the third lesson.  I think
they should add it to the ?examples,BasicHowTo

    Forward  
You must Sign in before you can post messages.
To post a message you must first join this group.
Please update your nickname on the subscription settings page before posting.
You do not have the permission required to post.
5.  Repeating Rifle  
View profile  
 More options Jan 1 2004, 2:09 pm
Newsgroups: comp.soft-sys.math.maple
From: Repeating Rifle <Salmon...@sbcglobal.net>
Date: Thu, 01 Jan 2004 19:08:57 GMT
Local: Thurs, Jan 1 2004 2:08 pm
Subject: Re: I am still trying to get into the spirit of Maple
in article Pine.LNX.4.44.0401011114290.1089-100...@ariel.math.udel.edu, Carl
Devore at dev...@math.udel.edu wrote on 1/1/04 9:04 AM:

> I consider the "assume" command fundamental, but I guess that Maplesoft
> does not because I can't find it in the prepackaged tutorials.  When I
> teach Maple to freshman, I include assume in the third lesson.  I think
> they should add it to the ?examples,BasicHowTo

I found that out because of help received via this newsgroup. If I look over
the *Learning Guide*, The first listing of assume is on p69 almost as an
aside. It does not show up in the index again until p157.

One thing that would help in such books is an indcation of where the
particular commands find use. Sorting by means of importance would also
help.

Bill


    Forward  
You must Sign in before you can post messages.
To post a message you must first join this group.
Please update your nickname on the subscription settings page before posting.
You do not have the permission required to post.
How do they do that?  
1.  Carl Devore  
View profile  
 More options Jan 1 2004, 6:40 am
Newsgroups: comp.soft-sys.math.maple, sci.math.symbolic
From: Carl Devore <dev...@math.udel.edu>
Date: Thu, 1 Jan 2004 06:31:04 -0500
Local: Thurs, Jan 1 2004 6:31 am
Subject: Re: How do they do that?
On 31 Dec 2003, steve_H wrote:

> "Mikito Harakiri" <mikharak...@iahu.com> wrote in message <news:HFIIb.6$Mf4.86@news.oracle.com>...
> > > simplify((sqrt(5)+2)^(1/3)-(sqrt(5)-2)^(1/3));
> >                                   1
>           exp( (1/3)*ln( sqrt(x)+2 ) )
> > a:=series( (1/3)*exp(ln(sqrt(x)+2)),x);
> and not 1 . may be I made a mistake somewhere.

Look at the different placement of the 1/3 in the two lines above.

    Forward  
You must Sign in before you can post messages.
To post a message you must first join this group.
Please update your nickname on the subscription settings page before posting.
You do not have the permission required to post.
maple bug? e^(a*ln(b)) is not the same as b^a ?  
1.  steve_H  
View profile  
 More options Jan 1 2004, 5:43 pm
Newsgroups: comp.soft-sys.math.maple
From: nma...@hotmail.com (steve_H)
Date: 1 Jan 2004 14:43:01 -0800
Local: Thurs, Jan 1 2004 5:43 pm
Subject: maple bug? e^(a*ln(b)) is not the same as b^a ?
maple 9.03, on XP :

Maple says that e^(a*ln(b)) is not the same as b^a
but when I replace a by (1/3) it says yes.

is this a bug?

>restart;
> is(exp( a*ln(b)) = b^a);

                             false

>is(exp((1/3)*ln(b)) = b^(1/3));

                              true

tried to tell it to assume a>0, but this did not help:

>assume(a>0);
>is(exp( a*ln(b)) = b^a);

                             false

    Forward  
You must Sign in before you can post messages.
To post a message you must first join this group.
Please update your nickname on the subscription settings page before posting.
You do not have the permission required to post.
2.  Caesar Garcia  
View profile  
 More options Jan 2 2004, 11:15 am
Newsgroups: comp.soft-sys.math.maple
From: caesar_garcia1...@yahoo.com (Caesar Garcia)
Date: 2 Jan 2004 08:15:16 -0800
Local: Fri, Jan 2 2004 11:15 am
Subject: Re: maple bug? e^(a*ln(b)) is not the same as b^a ?
Try this:

>testeq((exp(a*ln(b))=(b^a)));

                                 true


    Forward  
You must Sign in before you can post messages.
To post a message you must first join this group.
Please update your nickname on the subscription settings page before posting.
You do not have the permission required to post.
3.  Robert Israel  
View profile  
 More options Jan 3 2004, 10:27 pm
Newsgroups: comp.soft-sys.math.maple
From: isr...@math.ubc.ca (Robert Israel)
Date: 4 Jan 2004 03:27:35 GMT
Local: Sat, Jan 3 2004 10:27 pm
Subject: Re: maple bug? e^(a*ln(b)) is not the same as b^a ?
In article <342c651a.0401020815.57ed2...@posting.google.com>,

Caesar Garcia <caesar_garcia1...@yahoo.com> wrote:
>Try this:

>>testeq((exp(a*ln(b))=(b^a)));

>                                 true

But testeq is not at all reliable with symbolic exponents.
See for example my article of 12 December 2002 on the subject
"Re: why does testeq( x = (x^3)^(1/3) ) FAIL ?"

Robert Israel                                isr...@math.ubc.ca
Department of Mathematics        http://www.math.ubc.ca/~israel
University of British Columbia            
Vancouver, BC, Canada V6T 1Z2


    Forward  
You must Sign in before you can post messages.
To post a message you must first join this group.
Please update your nickname on the subscription settings page before posting.
You do not have the permission required to post.

Create a group - Google Groups - Google Home - Terms of Service - Privacy Policy
©2010 Google