* bug#64077: 30.0.50; Wrong definition of gamma function in calc.texi [PATCH]
@ 2023-06-15 4:25 Vladimir Nikishkin
2023-06-15 7:41 ` Eli Zaretskii
0 siblings, 1 reply; 6+ messages in thread
From: Vladimir Nikishkin @ 2023-06-15 4:25 UTC (permalink / raw)
To: 64077
No Emacs code is affected, but the Gamma Function is defined by a
convergent integral, not a divergent one.
Patch below:
--- doc/misc/calc.texi
@@ -18614,7 +18614,7 @@ Advanced Math Functions
factorial function: @samp{gamma(n+1) = fact(n)}. For general complex
arguments the gamma function can be defined by the following definite
integral:
-@texline @math{\Gamma(a) = \int_0^\infty t^{a-1} e^t dt}.
+@texline @math{\Gamma(a) = \int_0^\infty t^{a-1} e^{-t} dt}.
@infoline @expr{gamma(a) = integ(t^(a-1) exp(t), t, 0, inf)}.
(The actual implementation uses far more efficient computational methods.)
--
Your sincerely,
Vladimir Nikishkin (MiEr, lockywolf)
(Laptop)
^ permalink raw reply [flat|nested] 6+ messages in thread* bug#64077: 30.0.50; Wrong definition of gamma function in calc.texi [PATCH]
2023-06-15 4:25 bug#64077: 30.0.50; Wrong definition of gamma function in calc.texi [PATCH] Vladimir Nikishkin
@ 2023-06-15 7:41 ` Eli Zaretskii
2023-06-15 7:54 ` Andreas Schwab
0 siblings, 1 reply; 6+ messages in thread
From: Eli Zaretskii @ 2023-06-15 7:41 UTC (permalink / raw)
To: Vladimir Nikishkin; +Cc: 64077-done
> From: Vladimir Nikishkin <lockywolf@gmail.com>
> Date: Thu, 15 Jun 2023 12:25:04 +0800
>
> No Emacs code is affected, but the Gamma Function is defined by a
> convergent integral, not a divergent one.
>
> Patch below:
>
> --- doc/misc/calc.texi
> @@ -18614,7 +18614,7 @@ Advanced Math Functions
> factorial function: @samp{gamma(n+1) = fact(n)}. For general complex
> arguments the gamma function can be defined by the following definite
> integral:
> -@texline @math{\Gamma(a) = \int_0^\infty t^{a-1} e^t dt}.
> +@texline @math{\Gamma(a) = \int_0^\infty t^{a-1} e^{-t} dt}.
> @infoline @expr{gamma(a) = integ(t^(a-1) exp(t), t, 0, inf)}.
> (The actual implementation uses far more efficient computational methods.)
Thanks, fixed. (But the corresponding @infoline needed to be fixed as
well, right? So I did that. And switched to using @sup there, to
produce a nicer HTML output.)
Closing.
^ permalink raw reply [flat|nested] 6+ messages in thread* bug#64077: 30.0.50; Wrong definition of gamma function in calc.texi [PATCH]
2023-06-15 7:41 ` Eli Zaretskii
@ 2023-06-15 7:54 ` Andreas Schwab
2023-06-15 8:01 ` Eli Zaretskii
0 siblings, 1 reply; 6+ messages in thread
From: Andreas Schwab @ 2023-06-15 7:54 UTC (permalink / raw)
To: 64077; +Cc: eliz, lockywolf
On Jun 15 2023, Eli Zaretskii wrote:
>> From: Vladimir Nikishkin <lockywolf@gmail.com>
>> Date: Thu, 15 Jun 2023 12:25:04 +0800
>>
>> No Emacs code is affected, but the Gamma Function is defined by a
>> convergent integral, not a divergent one.
>>
>> Patch below:
>>
>> --- doc/misc/calc.texi
>> @@ -18614,7 +18614,7 @@ Advanced Math Functions
>> factorial function: @samp{gamma(n+1) = fact(n)}. For general complex
>> arguments the gamma function can be defined by the following definite
>> integral:
>> -@texline @math{\Gamma(a) = \int_0^\infty t^{a-1} e^t dt}.
>> +@texline @math{\Gamma(a) = \int_0^\infty t^{a-1} e^{-t} dt}.
>> @infoline @expr{gamma(a) = integ(t^(a-1) exp(t), t, 0, inf)}.
>> (The actual implementation uses far more efficient computational methods.)
>
> Thanks, fixed. (But the corresponding @infoline needed to be fixed as
> well, right? So I did that. And switched to using @sup there, to
> produce a nicer HTML output.)
Using @sup{..} is wrong here, though. The @infoline line is using calc
algebraic syntax.
--
Andreas Schwab, SUSE Labs, schwab@suse.de
GPG Key fingerprint = 0196 BAD8 1CE9 1970 F4BE 1748 E4D4 88E3 0EEA B9D7
"And now for something completely different."
^ permalink raw reply [flat|nested] 6+ messages in thread* bug#64077: 30.0.50; Wrong definition of gamma function in calc.texi [PATCH]
2023-06-15 7:54 ` Andreas Schwab
@ 2023-06-15 8:01 ` Eli Zaretskii
2023-06-15 8:16 ` Andreas Schwab
0 siblings, 1 reply; 6+ messages in thread
From: Eli Zaretskii @ 2023-06-15 8:01 UTC (permalink / raw)
To: Andreas Schwab; +Cc: lockywolf, 64077
> From: Andreas Schwab <schwab@suse.de>
> Cc: eliz@gnu.org, lockywolf@gmail.com
> Date: Thu, 15 Jun 2023 09:54:26 +0200
>
> On Jun 15 2023, Eli Zaretskii wrote:
>
> > Thanks, fixed. (But the corresponding @infoline needed to be fixed as
> > well, right? So I did that. And switched to using @sup there, to
> > produce a nicer HTML output.)
>
> Using @sup{..} is wrong here, though. The @infoline line is using calc
> algebraic syntax.
I don't see how that follows. Those look like function definitions to
me, and they are not inside @kbd (which would indicate something the
user should type into Calc).
So I don't think @sup is wrong there.
^ permalink raw reply [flat|nested] 6+ messages in thread* bug#64077: 30.0.50; Wrong definition of gamma function in calc.texi [PATCH]
2023-06-15 8:01 ` Eli Zaretskii
@ 2023-06-15 8:16 ` Andreas Schwab
2023-06-15 8:39 ` Eli Zaretskii
0 siblings, 1 reply; 6+ messages in thread
From: Andreas Schwab @ 2023-06-15 8:16 UTC (permalink / raw)
To: Eli Zaretskii; +Cc: lockywolf, 64077
On Jun 15 2023, Eli Zaretskii wrote:
> I don't see how that follows. Those look like function definitions to
> me, and they are not inside @kbd (which would indicate something the
> user should type into Calc).
Exactly, in algrebraic notion. This is a TeX-like notation that uses
the literal characters ^ and _.
> So I don't think @sup is wrong there.
exp is a function, not a variable.
--
Andreas Schwab, SUSE Labs, schwab@suse.de
GPG Key fingerprint = 0196 BAD8 1CE9 1970 F4BE 1748 E4D4 88E3 0EEA B9D7
"And now for something completely different."
^ permalink raw reply [flat|nested] 6+ messages in thread
end of thread, other threads:[~2023-06-15 8:39 UTC | newest]
Thread overview: 6+ messages (download: mbox.gz / follow: Atom feed)
-- links below jump to the message on this page --
2023-06-15 4:25 bug#64077: 30.0.50; Wrong definition of gamma function in calc.texi [PATCH] Vladimir Nikishkin
2023-06-15 7:41 ` Eli Zaretskii
2023-06-15 7:54 ` Andreas Schwab
2023-06-15 8:01 ` Eli Zaretskii
2023-06-15 8:16 ` Andreas Schwab
2023-06-15 8:39 ` Eli Zaretskii
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