euler's identity  Hewlett Packard
This is a discussion on euler's identity  Hewlett Packard ; Hello,
Is there a way to convert a bunch of efunctions into sin or cos?
TSIMP doesn't seem to do it.
Thanks,
Christoph...

euler's identity
Hello,
Is there a way to convert a bunch of efunctions into sin or cos?
TSIMP doesn't seem to do it.
Thanks,
Christoph

Re: euler's identity
In article
<01531d2f35c34dd1941152adde06a31a@l42g2000hsc.googlegroups.com>,
Christoph Koehler wrote:
> Hello,
>
> Is there a way to convert a bunch of efunctions into sin or cos?
> TSIMP doesn't seem to do it.
>
> Thanks,
>
> Christoph
If you mean converting expressions like
'EXP(i*X)' to
'COS(X) + i*SIN(X)'
Try the following program:
\<< 103 SF @ sets complex mode
{'EXP(i*&X)' 'COS(&X)+i*SIN(&X)'}
\^MATCH @ where \^ represents the ASCII 114 uparrow character
DROP
\>>
Note that the '&X' expressions in the second line allow replacement of
an arbitrary expression.
The uparrowMATCH command will replace anything matching 'EXP(i*&X)'
by 'COS(&X)+i*SIN(&X)', even inside more complicated expressions.
And it returns a 1 if any replacement was made or 0 if none was masd
(hence the DROP command).
There is a similar command with a down arrow instead of an up arrow.
The up arrow command works from inside out on the expression on level 1,
and the down arrow command from the outside in.
Using these arrowed MATCH commands, on can set up about any conversions
one wants as programs, or even in a library, and have them perpetually
available.

Re: euler's identity
[RightShift] [TRIG] [NXT] SINCO

"Virgil" wrote in message
news:Virgil0ABBE9.22430721102008@news.usenetmonster.com...
> In article
> <01531d2f35c34dd1941152adde06a31a@l42g2000hsc.googlegroups.com>,
> Christoph Koehler wrote:
>
>> Hello,
>>
>> Is there a way to convert a bunch of efunctions into sin or cos?
>> TSIMP doesn't seem to do it.
>>
>> Thanks,
>>
>> Christoph
>
> If you mean converting expressions like
> 'EXP(i*X)' to
> 'COS(X) + i*SIN(X)'
>
> Try the following program:
>
> \<< 103 SF @ sets complex mode
> {'EXP(i*&X)' 'COS(&X)+i*SIN(&X)'}
> \^MATCH @ where \^ represents the ASCII 114 uparrow character
> DROP
> \>>
> Note that the '&X' expressions in the second line allow replacement of
> an arbitrary expression.
>
> The uparrowMATCH command will replace anything matching 'EXP(i*&X)'
> by 'COS(&X)+i*SIN(&X)', even inside more complicated expressions.
> And it returns a 1 if any replacement was made or 0 if none was masd
> (hence the DROP command).
>
> There is a similar command with a down arrow instead of an up arrow.
>
> The up arrow command works from inside out on the expression on level 1,
> and the down arrow command from the outside in.
>
> Using these arrowed MATCH commands, on can set up about any conversions
> one wants as programs, or even in a library, and have them perpetually
> available.

Re: euler's identity
On Wed, 22 Oct 2008 13:23:47 +0300, "VeliPekka Nousiainen"
wrote:
>[RightShift] [TRIG] [NXT] SINCO
>
In what manual and where is this described?
A.L.

Re: euler's identity
You don't even need any manuals  the calc's HELP will tell you this!
Happy exploring the calculator  it surely takes some time with so many
functions
"A.L." wrote in message
news:5i0uf4dsm0q6g0ie36d0lmmvrol8s4kt0d@4ax.com...
> On Wed, 22 Oct 2008 13:23:47 +0300, "VeliPekka Nousiainen"
> wrote:
>
>>[RightShift] [TRIG] [NXT] SINCO
>>
>
> In what manual and where is this described?
>
> A.L.

Re: euler's identity
On Wed, 22 Oct 2008 05:37:23 0500, some perpetual "sourpuss" wrote:
> In what manual and where is this described?
SINCOS is seen in the TRIG menu on page "56" of the HP50G User Manual,
is described in detail on page "467" of the HP50G "AUR,"
and of course in builtin CAS HELP.
Although there is a total of 1724 fully indexed and searchable
PDF pages of manuals for the HP50G, explaining absolutely everything
(how many of which have you read?),
the answers to all possible questions that could ever be proposed
are not included, nor are any spoons nor feeding tubes supplied
for forcefeeding all knowledge and allknowingness into any student's head.
I believe it's much the same situation
with even the most advanced mathematics software for computers.
Now that computers (or is it iPhones) are taking the place
of calculators, do they now enable students to know everything
without having to do anything?
[ ]

Re: euler's identity
On Oct 22, 11:53*am, "John H Meyers" wrote:
> On Wed, 22 Oct 2008 05:37:23 0500, some perpetual "sourpuss" wrote:
> > In what manual and where is this described?
>
> SINCOS is seen in the TRIG menu on page "56" of the HP50G User Manual,
> is described in detail on page "467" of the HP50G "AUR,"
> and of course in builtin CAS HELP.
>
> Although there is a total of 1724 fully indexed and searchable
> PDF pages of manuals for the HP50G, explaining absolutely everything
> (how many of which have you read?),
> the answers to all possible questions that could ever be proposed
> are not included, nor are any spoons nor feeding tubes supplied
> for forcefeeding all knowledge and allknowingness into any student's head.
>
> I believe it's much the same situation
> with even the most advanced mathematics software for computers.
>
> Now that computers (or is it iPhones) are taking the place
> of calculators, do they now enable students to know everything
> without having to do anything?
>
> [ ]
Thanks guys! I know this stuff without the calc, but it's easier and
faster this way
Christoph