From: slawek on
This question is really stupid.

We have got an integral (where xa,xb,c etc. are constants; I use a
pseudo-Mathematica notation for the clarity)

I = Integrate[Exp[-c x] f[x], {x, xa, xb}]

we want to obtain the form

I = g * Integrate[Exp[-t] F[t], {t, ta, tb}]

Obviously,

t == c x
dt == c dx

ta == c xa
tb == c xb

g == 1/c
F[t] == f[x]


Maybe I miss something? Well, all variables are real.



From: Gerry on
On Jul 17, 3:38 am, "slawek" <sla...(a)host.pl> wrote:
> This question is really stupid.
>
> We have got an integral (where xa,xb,c etc. are constants; I use a
> pseudo-Mathematica notation for the clarity)
>
> I = Integrate[Exp[-c x] f[x], {x, xa, xb}]
>
> we want to obtain the form
>
> I = g * Integrate[Exp[-t] F[t], {t, ta, tb}]
>
> Obviously,
>
>   t == c x
> dt == c dx
>
> ta == c xa
> tb == c xb
>
> g == 1/c
> F[t] == f[x]
>
> Maybe I miss something? Well, all variables are real.

Your question is not so much stupid as unclear.
What are you actually asking?
--
GM
From: slawek on

Uzytkownik "Gerry" <gerry(a)math.mq.edu.au> napisal w wiadomosci grup
dyskusyjnych:f01cf568-1a43-49fe-9f76-a82a7080a04e(a)b4g2000pra.googlegroups.com...
> On Jul 17, 3:38 am, "slawek" <sla...(a)host.pl> wrote:
>> This question is really stupid.
>>
>> We have got an integral (where xa,xb,c etc. are constants; I use a
>> pseudo-Mathematica notation for the clarity)
>>
>> I = Integrate[Exp[-c x] f[x], {x, xa, xb}]
>>
>> we want to obtain the form
>>
>> I = g * Integrate[Exp[-t] F[t], {t, ta, tb}]
>>
>> Obviously,
>>
>> t == c x
>> dt == c dx
>>
>> ta == c xa
>> tb == c xb
>>
>> g == 1/c
>> F[t] == f[x]
>>
>> Maybe I miss something? Well, all variables are real.
>
> Your question is not so much stupid as unclear.
> What are you actually asking?

Where are errors in these calculations?

From: Gerry on
On Jul 17, 9:03 am, "slawek" <sla...(a)host.pl> wrote:
> Uzytkownik "Gerry" <ge...(a)math.mq.edu.au> napisal w wiadomosci grup
> dyskusyjnych:f01cf568-1a43-49fe-9f76-a82a7080a...(a)b4g2000pra.googlegroups..com...
>
>
>
>
>
> > On Jul 17, 3:38 am, "slawek" <sla...(a)host.pl> wrote:
> >> This question is really stupid.
>
> >> We have got an integral (where xa,xb,c etc. are constants; I use a
> >> pseudo-Mathematica notation for the clarity)
>
> >> I = Integrate[Exp[-c x] f[x], {x, xa, xb}]
>
> >> we want to obtain the form
>
> >> I = g * Integrate[Exp[-t] F[t], {t, ta, tb}]
>
> >> Obviously,
>
> >>   t == c x
> >> dt == c dx
>
> >> ta == c xa
> >> tb == c xb
>
> >> g == 1/c
> >> F[t] == f[x]
>
> >> Maybe I miss something? Well, all variables are real.
>
> > Your question is not so much stupid as unclear.
> > What are you actually asking?
>
> Where are errors in these calculations?

Do you have some reason to think that there is an error?
--
GM
From: slawek on

Uzytkownik "Gerry" <gerry(a)math.mq.edu.au> napisal w wiadomosci grup
dyskusyjnych:309d7fe3-c38e-4a8e-98a5-13638f320b27(a)k8g2000prh.googlegroups.com...
> Do you have some reason to think that there is an error?
> --
> GM

I was on a meeting last week. The participants of the meeting were three
professors (VIP/EU-grants/etc.) and two doctors (Ph.D. in science) All
currently teaching on universities.

All five claimed that it was wrong calculation. They did not even want to
know the rest of results.

In my oppinion it was an "Emperor's New Clothes" syndrome. Because "Big
Boss" missed a very very obvious approach to a problem, he imagine himself
that must be an error somethere. "Lesser Bosses" just simple repeated the
statement of the bigger one. Doctors was educated always agree with
professors...

It was amazing to see these people.