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Weregoose
Authentic INTJ
Super Elite (Last Title)
Joined: 25 Nov 2004
Posts: 3976
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 Posted: 27 Feb 2008 09:29:16 pm Post subject: |
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While on the subject of matrices... We all know (or, most of us know) that adding reals to matrices doesn't go over so well (e.g., [A]+2 results in ERR:DATA TYPE). Here is a solution that doesn't need any extra variables and works for all matrix elements that have an absolute value of greater than 1/2:
[A]:Ans+Nabs(round(fPart(Ans-E‾9Ans),0
(where N is the number to be added to all of the qualifying elements). Use this procedure if you don't have any elements in the matrix that lie within the range -.5 ≤ aij ≤ .5, or if you don't care at all about this limitation. If an element doesn't meet the criteria, then its value doesn't change.
Last edited by Guest on 25 Jul 2010 05:07:15 am; edited 1 time in total |
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DarkerLine
ceci n'est pas une |
Super Elite (Last Title)
Joined: 04 Nov 2003
Posts: 8328
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| Posted: 27 Feb 2008 09:52:52 pm Post subject: |
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If angle( actually worked correctly for matrices, there would be an easier way... Then again, it probably wasn't ever supposed to work for matrices at all.
Last edited by Guest on 25 Jul 2010 05:08:03 am; edited 1 time in total |
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TheStorm
Calc Guru
Joined: 17 Apr 2007
Posts: 1233
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| Posted: 28 Feb 2008 08:49:25 am Post subject: |
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| angel(???? what does that do with matrices? I've never heard any thong about that. |
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DarkerLine
ceci n'est pas une |
Super Elite (Last Title)
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Posts: 8328
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| Posted: 28 Feb 2008 09:18:29 am Post subject: |
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angle( @ TI|BD
Basically, angle([A] will return a matrix of the same size, but with all its entries 0. There is no real reason to use it, since 0[A] does the same thing. This is also not the correct behavior of angle(, since it should return 0 only for positive numbers, and Pi for negative numbers. |
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Weregoose
Authentic INTJ
Super Elite (Last Title)
Joined: 25 Nov 2004
Posts: 3976
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| Posted: 09 Jun 2008 03:20:12 pm Post subject: |
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I hate .01.
It can't be optimized using [font="verdana"]E‾2.
It can using % (somewhat), but we already know that. Problem is, acquiring it is more difficult, and it makes a program incompatible with TIOS 1.14 and below.
Why not...
sub(2
_____________.02
sub([font="times new roman"]π
_____.0314159265
sub(3+[font="times new roman"]i
________.03+.01[font="times new roman"]i
sub({4,5,6
___{.04 .05 .06}
Versions 1.15 and 2.21 have support for this, as I'm sure do the ones in the middle. I haven't tested further on the sides.
Thanks to TylerMcL for asking questions which led to this discovery.
Last edited by Guest on 25 Jul 2010 05:10:29 am; edited 1 time in total |
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DarkerLine
ceci n'est pas une |
Super Elite (Last Title)
Joined: 04 Nov 2003
Posts: 8328
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| Posted: 09 Jun 2008 04:26:22 pm Post subject: |
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...the heck?
Also, it doesn't seem to work on 1.12.
Last edited by Guest on 09 Jun 2008 04:27:28 pm; edited 1 time in total |
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bfr
Member
Joined: 13 Feb 2006
Posts: 108
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| Posted: 09 Jun 2008 04:49:04 pm Post subject: |
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That's pretty awesome. 8)
Haha, I have {sub(x),sub(x^2 in my Y1 variable right now...that "mathematical" expression looks so messed up. The things the TI-OS allows.... :biggrin:
EDIT: Although it's still pretty cool, I don't think using sub(1 instead of .01 saves any space.
Last edited by Guest on 09 Jun 2008 06:00:29 pm; edited 1 time in total |
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magicdanw
pcGuru()
Calc Guru
Joined: 14 Feb 2007
Posts: 1110
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| Posted: 09 Jun 2008 06:14:46 pm Post subject: |
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| Just curious, I was only aware of sub being able to be used to get substrings. Is there any logical reason (or guess) why it should behave this way, or is it simply a mystery? |
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elfprince13
Retired
Super Elite (Last Title)
Joined: 11 Apr 2005
Posts: 3500
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| Posted: 10 Jun 2008 06:48:30 pm Post subject: |
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woah, wtferskates?
and is sub( a 1 or 2 byte token?
also, HOW was this discovered?
Last edited by Guest on 10 Jun 2008 06:49:45 pm; edited 1 time in total |
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Weregoose
Authentic INTJ
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| Posted: 10 Jun 2008 06:52:56 pm Post subject: |
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elfprince13 wrote: woah, wtferskates?
and is sub( a 1 or 2 byte token? Two.
elfprince13 wrote: also, HOW was this discovered? Chance.
Last edited by Guest on 10 Jun 2008 06:53:03 pm; edited 1 time in total |
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simplethinker
snjwffl
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Joined: 25 Jul 2006
Posts: 700
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| Posted: 10 Jun 2008 07:24:53 pm Post subject: |
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| Is there any clue as to WHY this works? |
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luby
I want to go back to Philmont!!
Calc Guru
Joined: 23 Apr 2006
Posts: 1477
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| Posted: 10 Jun 2008 09:13:38 pm Post subject: |
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| My guess is that they overloaded the feature because they could. |
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Weregoose
Authentic INTJ
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| Posted: 10 Oct 2008 04:24:00 am Post subject: |
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Storing a string to an equation variable such as Y1 or u will not update Ans. This allows the creation of comments that won't affect program flow.
Last edited by Guest on 25 Jul 2010 05:11:44 am; edited 1 time in total |
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luby
I want to go back to Philmont!!
Calc Guru
Joined: 23 Apr 2006
Posts: 1477
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| Posted: 10 Oct 2008 09:20:16 pm Post subject: |
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| Really? That's handy. |
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DarkerLine
ceci n'est pas une |
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Joined: 04 Nov 2003
Posts: 8328
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| Posted: 10 Oct 2008 09:48:58 pm Post subject: |
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But "COMMENT→u doesn't really save space over If 0:COMMENT...
Last edited by Guest on 25 Jul 2010 05:12:10 am; edited 1 time in total |
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Harrierfalcon
The Raptor of Calcs
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Posts: 2535
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| Posted: 10 Oct 2008 10:27:24 pm Post subject: |
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DarkerLine wrote: But "COMMENT→u doesn't really save space over If 0:COMMENT...
[post="127791"]<{POST_SNAPBACK}>[/post] It takes up more space by storing it into a variable you'd probably want to delete at some later point in time.
Last edited by Guest on 25 Jul 2010 05:12:30 am; edited 1 time in total |
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Weregoose
Authentic INTJ
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Joined: 25 Nov 2004
Posts: 3976
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| Posted: 10 Oct 2008 10:52:43 pm Post subject: |
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Okay, so that was an on-the-spot, made-up scenario that could conceivably come of that feature. Here's another trick:
u(nMin) can take on either a real number or a one-or-two–dimension list to the effect that it will let you augment( with it even if just a single number has been stored. Plus, it's a system variable, so it doesn't take any additional space in memory (aside from using it as a 2-byte token).
Last edited by Guest on 25 Jul 2010 05:13:04 am; edited 1 time in total |
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DarkerLine
ceci n'est pas une |
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Joined: 04 Nov 2003
Posts: 8328
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| Posted: 10 Oct 2008 11:11:08 pm Post subject: |
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Okay, this one's technically documented (probably) but it's cool:
You can evaluate u, v, and w at a range of values to create a list of results: u(1,10) will be the list {u(1),u(2), ...,u(10)}. If you add a third argument, it will be used as a step value: u(1,10,3) will be the list {u(1),u(4),u(7),u(10)}.
Also, evaluating one of these variables at a specific point will set n to be the next value: u(5) will set n to 6. This applies for the range syntax as well.
Last edited by Guest on 25 Jul 2010 05:05:47 am; edited 1 time in total |
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Snipes17
Advanced Newbie
Joined: 07 May 2008
Posts: 62
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| Posted: 10 Oct 2008 11:49:56 pm Post subject: |
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| Aren't system variables faster to access as well? |
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darkstone knight
Advanced Member
Joined: 07 Sep 2008
Posts: 438
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| Posted: 11 Oct 2008 04:45:04 am Post subject: |
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no, when the calucator "sees" the token for u, it recalls the string at that point (in theory..) meaning its slower
finance vars ARE faster thougth... just big...... |
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TI-Basic => TI-BASIC
