Original Usenet thread from alt.ascii-art, started 20 Aug 2001.
mathematical expressions
alt.ascii-art
· 12 messages · 20 Aug 2001 - 24 Aug 2001
Hi everybody,
I am looking for ascii art representations of mathematical expressions.
I have heard of some math programs like maple having an export to
ascii-art, but I do not have this program at hand.
The most I am interested in symbols like the integral symbol for
example. Is there a web site with a complete set of such symbols in
ascii?
Thanks,
Markus
PS: Here is what I have already found:
2 -------------
--- pi 3 * pi / 9 2
\ --- = -------- = / --- * pi
/ n 2 \/ 4
---
n=1
k k
___ ___
\ / k \ i k - i \ / k \ k k
(n + a) ^ k = > | | n a <= > | | n a
/__ \ i / /__ \ i /
i = 0 i = 0
k
___
k \ / k \ k k k
= (n a) > | | = n c a = O(n )
/___ \ i /
i = 0
n
___
\ n - k k
(x - y) * ) x y
/___
k = 0
----------
/ 1 + x
v
--------
3/ 1 + x
v
_
_/ f(x) dx > 0.
oo 2
--- 1 __
\ --- = ||
/ 2 ---
--- n 6
n=1
oo
/ 1
| - dx = log(x) + C
/ x
1
1
lim ---
n->oo n
_
12 + 144 + 20 + 3 \/4 2
--------------------- + 5*11 = 9
7
--(Once apon a time, in alt.ascii-art,)-- --(Markus Gebhard said it like only they can.)-- > Hi everybody, > > I am looking for ascii art representations of mathematical expressions. > I have heard of some math programs like maple having an export to > ascii-art, but I do not have this program at hand. > The most I am interested in symbols like the integral symbol for > example. Is there a web site with a complete set of such symbols in > ascii? > > Thanks, > Markus > While we are at it does anyone know of a program that dose ascii art molecules? Nothing this fancie is needed: _.-"""-._ _.-"""-._ / (#\ \_/ (#\ \ : \#) |NNn. \#) : \ /N(#\N\ / "-.___.-nNNN\#)N|_.-" \NNNNNNNNN/ "*NNNNN*" " H H `O' I am thinking that if i can find one with a good modulare build that I can use it to make a realy fun ascii art screen saver. -- --(tty...@faux.local|04:45|/home/faux)-- cat .sig GUI's are for slackers. Get ibpconf.sh 6.1 on freshmeat.net It's a damn poor mind that can only think of one way to spell a word. - Andrew Jackson
On Mon, 20 Aug 2001 12:00:19 GMT Fau...@yahoo.comERCIAL (Faux_Pseudo) wrote: [snip] > > I am thinking that if i can find one with a good modulare build that I > can use it to make a realy fun ascii art screen saver. > [snip] I can't find a Linux console screensaver which is not vga but really text mode. Which programs are there or which are you using? -- ,----------------------------. ___________________ ` _ ' | Christian Mertes aka mudd1 | ... |c_m...@bigfoot.de|- (_) - ... `---------------------------(_ ( oo) |___________________| ' ` (. .) ----------------------------ooO--(_)--Ooo-------| |--------------ooO--(_)--Ooo-
See if you can calculate the following...
.-----------------------------------------------------------
/ .------------------------------------------------
/ / .-------------------------------------
/ / / .--------------------------
/ / / / .---------------
/ 7 + 1 / 17 + 4 / 31 + 9 / 49 + 16 / 71 + 25 /~~~...
v v v v v v
_
_| |___ =================================================
_| _| _|_ Bill Taylor W.T...@math.canterbury.ac.nz
|___|_ | _|___ =================================================
|_| |_ _| Text tiles make very poor textiles.
|___| | =================================================
W F C T |_|
Bill Taylor wrote: > > See if you can calculate the following... > > .----------------------------------------------------------- > / .------------------------------------------------ > / / .------------------------------------- > / / / .-------------------------- > / / / / .--------------- > / 7 + 1 / 17 + 4 / 31 + 9 / 49 + 16 / 71 + 25 /~~~... > v v v v v v At first sight I would say the result is: __ V14 Looking again I convert your series into this recursion: 2 _______ a = c + n * / a + 1 n n V n with c = c + 4*n + 2; c = 1 n n-1 0 ____ And you are looking for / a V 1 And now looking again at what I have written makes me very sad and so I better go having some breakfast. Well, here is the coffee: ( ( ) ) ) _(,..(....(__ _.-'' ) ) ) '-.. ' ( ( `. '. ..::::::::):::.... , '.-.::::::::::::::::::,`'/ \ '`--........---' / | /''--. '. / ,| \ / _,' _.--''\ ' ,-.._ ,-' . \ ,,' '-. ,' . \ ' . ` | . `.________.' . | \ . . _' '-._ . . . _.- '--...___ ___,.,-'' '''''''''' Markus
--(Once apon a time, in alt.ascii-art,)-- --(Christian Mertes said it like only they can.)-- > On Mon, 20 Aug 2001 12:00:19 GMT > Fau...@yahoo.comERCIAL (Faux_Pseudo) wrote: > [snip] >> >> I am thinking that if i can find one with a good modulare build that I >> can use it to make a realy fun ascii art screen saver. >> > [snip] > > I can't find a Linux console screensaver which is not vga but really text mode. > Which programs are there or which are you using? Right now I dont use any. Thats why I am thinking of makeing one. There is one called csd or ConsoleSaver on freshmeat.net but it is not a screen saver in the sence that it is a damon that starts when SDTIN is not active for a period of time. In fact it is in version 0.01pre and has been that way for over a year. I would emagin that one would not be hard to build. find out what criteria "console blanking" uses to cut the display and rewrite as a seperet damon to launch a saver instead. aalib could be used to handle the actual graphics. /me pictures a naked dancing lady screensaver in ascii vision. > > -- > ,----------------------------. ___________________ ` _ ' > | Christian Mertes aka mudd1 | ... |c_m...@bigfoot.de|- (_) - ... > `---------------------------(_ ( oo) |___________________| ' ` (. .) > ----------------------------ooO--(_)--Ooo-------| |--------------ooO--(_)--Ooo- -- --(tty...@faux.local|04:45|/home/faux)-- cat .sig GUI's are for slackers. Get ibpconf.sh 6.1 on freshmeat.net It's a damn poor mind that can only think of one way to spell a word. - Andrew Jackson
Hmmm... that coffee looks good! Must knock off and have some.
But anyway; Markus Gebhard <ukg...@rz.uni-karlsruhe.de> writes:
|> Looking again I convert your series into this recursion...
Yep, you can do that, but a hit and miss method might also work.
Hmmm... maybe that one *was* a bit too hard.
OK then, try this simpler one...
.-----------------------------------------------------------
/ .------------------------------------------------
/ / .-------------------------------------
/ / / .--------------------------
/ / / / .---------------
/ 1 + 1 / 1 + 2 / 1 + 3 / 1 + 4 / 1 + 5 /~~~...
v v v v v v
A chocolate candy goes to whoever gets the right answer first!
__________________
/ ________________ \
/ / \ \
/ / \ \
/ / ============ \ \
/ / Bill Taylor \ \
/ / ============ \ \
/ / \ \
/ / (fan of 7-a-side rugby!) \ \
/ / \ \
/ / W.T...@math.canterbury.ac.nz \ \
: : ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ : :
\ \ , / /
: : /| : :
\ \ / | / /
: : / | : :
\ \ ______| ._|____ / /
: : | | | | : :
\ \ | __| !___ | / /
: : | / |/ / | : :
\ \ |__/ ' /____| / /
: : /_______/| : :
`.`. | ! ,','
`.`. | / ,','
`.`. | / ,','
`.`. |/ ,','
`.`. ' ,','
`.`.,','
`.,'
On 21 Aug 2001 10:37:16 GMT, Bill Taylor <mat...@math.canterbury.ac.nz> wrote: > OK then, try this simpler one... > > .----------------------------------------------------------- > / .------------------------------------------------ > / / .------------------------------------- > / / / .-------------------------- > / / / / .--------------- > / 1 + 1 / 1 + 2 / 1 + 3 / 1 + 4 / 1 + 5 /~~~... > v v v v v v Is that ----------------------^ 3 * square root(1+...) or cube root(1+...) ? -- Harry Mason ("hjm200.ecs@soton@ac@uk" =~ tr/@./.@/)
|> > .-----------------------------------------------------------
|> > / .------------------------------------------------
|> > / / .-------------------------------------
|> > / / / .--------------------------
|> > / / / / .---------------
|> > / 1 + 1 / 1 + 2 / 1 + 3 / 1 + 4 / 1 + 5 /~~~...
|> > v v v v v v
|>
|> Is that ----------------------^ 3 * square root(1+...) or cube root(1+...) ?
Ambiguous indeed.
Yes, they are all square roots. Multiplied in front by "n".
Happy solving. (It's not all that hard, BTW...)
===============================================================================
__ __ _________________ ||
/\ \ / \ / _______________/\|| D A T U M
\ \ \ / /\ \ / / ______ ______\/|| A R E N A
\ \ \ / /\ \ \ / /_/__ \ \ \ || T O N I C
\ \ \ / / \ \ \ / _____/\ \ \ \ || E M O T E
\ \ \ / / \ \ \ / /\____\/ \ \ \ || D A R E D
\ \ \/ / \ \ \/ / / \ \ \ ||
\ \__/ \ \__/ / \ \ \ ||==============================
\/_/ \/__\/ \_\/ ||W.T...@math.canterbury.ac.nz
===============================================================================
On Tue, 21 Aug 2001 08:23:24 GMT Fau...@yahoo.comERCIAL (Faux_Pseudo) wrote: > --(Once apon a time, in alt.ascii-art,)-- > --(Christian Mertes said it like only they can.)-- > > On Mon, 20 Aug 2001 12:00:19 GMT > > Fau...@yahoo.comERCIAL (Faux_Pseudo) wrote: > > [snip] > >> > >> I am thinking that if i can find one with a good modulare build that I > >> can use it to make a realy fun ascii art screen saver. > >> > > [snip] > > > > I can't find a Linux console screensaver which is not vga but really text mode. > > Which programs are there or which are you using? > > Right now I dont use any. Thats why I am thinking of makeing one. > > There is one called csd or ConsoleSaver on freshmeat.net but it is not > a screen saver in the sence that it is a damon that starts when SDTIN > is not active for a period of time. In fact it is in version 0.01pre > and has been that way for over a year. > > I would emagin that one would not be hard to build. > > find out what criteria "console blanking" uses to cut the display and > rewrite as a seperet damon to launch a saver instead. > aalib could be used to handle the actual graphics. > Yeah, cool things could be done there. Even mess-dos had some cool screensavers. It's an incredible lack in the linux program repertoire. Imagine, I found two VGA screensavers for the console but there's no text only saver around?? Well, ok there's an aa version of the vgalib but I think the two vgalibs can't be in use at the same time so I didn't install it. > /me pictures a naked dancing lady screensaver in ascii vision. > :-) -- ,----------------------------. ___________________ /"\ ASCII RIBBON | Christian Mertes aka mudd1 | ... |c_m...@bigfoot.de| \ / CAMPAIGN `---------------------------(_ ( ��) |___________________| X AGAINST HTML ----------------------------ooO--(_)--Ooo-------| |--------- / \IN MAIL AND NEWS
mat...@math.canterbury.ac.nz (Bill Taylor) wrote: >|> > .----------------------------------------------------------- >|> > / .------------------------------------------------ >|> > / / .------------------------------------- >|> > / / / .-------------------------- >|> > / / / / .--------------- >|> > / 1 + 1 / 1 + 2 / 1 + 3 / 1 + 4 / 1 + 5 /~~~... >|> > v v v v v v >|> >|> Is that ----------------------^ 3 * square root(1+...) or cube root(1+...) ? > >Ambiguous indeed. > >Yes, they are all square roots. Multiplied in front by "n". > >Happy solving. (It's not all that hard, BTW...) i would say gur erfhyg vf rknpgyl gjb. (ROT13) it is simple to determine this by a small program (i have tried it in Q(uick)Basic). Calculate the value while ~~~... in the above expression is zero and while it is e.g 1e+20 and when the result is nearly the same, it is ok. going up to sqrt(26) is enough. For the prog, see my sig (which is too long...) ob-Ascii (it's my first): ____________ |.----------.| ||12345678. || |`----------'| | _ | | % V CE ON | |[] [] [] [] | |M+ M- MR MC | |[] [] [] [] | | 7 8 9 : | |[] [] [] [] | | 4 5 6 * | |[] [] [] [] | | 1 2 3 - | |[] [] [] [] | | 0 , +/- + | |[] [] [] [] | |____________| Michael -- DIM i AS INTEGER, x AS SINGLE, y AS SINGLE, ky AS STRING FOR i = 1 TO 50 x = 0 y = 1E+30 FOR j = i TO 1 STEP -1 x = SQR(x) * j + 1 NEXT FOR j = i TO 1 STEP -1 y = SQR(y) * j + 1 NEXT PRINT i, SQR(x), SQR(y) DO ky = INKEY$ IF ky = CHR$(27) THEN END LOOP UNTIL ky <> "" NEXT
Michael Schierl <sch...@gmx.de> writes:
|> >|> > .-----------------------------------------------------------
|> >|> > / .------------------------------------------------
|> >|> > / / .-------------------------------------
|> >|> > / / / .--------------------------
|> >|> > / / / / .---------------
|> >|> > / 1 + 1 / 1 + 2 / 1 + 3 / 1 + 4 / 1 + 5 /~~~...
|> >|> > v v v v v v
|> >|>
|> >|>
|> > they are all square roots.
|> i would say gur erfhyg vf rknpgyl gjb. (ROT13)
You are correct! Here is your chocolate candy...
____
___ .' /:::. ___
\ "-. / (:::-'\ .-" /
> -=.\/:\__\/__ \/.=- <
> -='/\::::/\:::\/\'=- <
/__.-' \::' )::/ '-.__\
'.__/::'
|> it is simple to determine this by a small program
Yes, you can do that; though some of us might say that's a little bit cheating.
Of course, once one guesses the answer, it's not too hard to prove,
(say using induction).
The fascinating thing about these infinitely nested square roots is how
incredibly rapidly the numbers inside can increase, yet still have the
whole thing converge. Much more than infinite series and products and things.
The numbers can be as high as c^(2^n) or so. Very unusual in math.
Also interesting is that the "2" there cannot be increased,
though the constant "c" can be anything. Weird huh!?
-----------------------------------------------------------------------------
Bill Taylor W.T...@math.canterbury.ac.nz
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And Abraham looked upon the Lord and said:
"We are your chosen people, and you want us to cut off the tips of our WHAT?!"
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