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• Number Formatting Proposals for Tapatalk BBCode
And I feel I am already mastering signed cadexal. Great!  Wanna cookie?  Lol   No six weeks program of learning new digits, memorizing their negations, blah, blah, blah. Well, it should be *all the more* obvious to you then, that if you just took a couple of week and learned the 12-entry "negation"...
Posted in Numerals
SenaryThe12th
1 minute ago
• Number Formatting Proposals for Tapatalk BBCode
To quote Monty Python ... "My head hurts ...' Are you sure, Sen, you can't make it more complicated? I can use dozenals with reverse notation - they are very handy for exhibiting patterns, such s 1/7, (base ten 0.143 and reverse), and I used to try calculations with them (as described by Halcro Joh...
Posted in Numerals
SenaryThe12th
3 minutes ago
• Number Formatting Proposals for Tapatalk BBCode
Oh, just wonderful. Show us your signed double-dozenal multiplication table, then. It's going to contain 300 A =210 C =CC O unique facts you'd have to learn. When the whole point to an _actual_ signed representation is that you'd only need to know the _dozenal_ multiplication table, which only cont...
Posted in Numerals
SenaryThe12th
48 minutes ago
• Number Formatting Proposals for Tapatalk BBCode
Oh come on. Why can't a $$\overline{5}$$ or a 5 (especially the latter) just count as a single character ligatured from a minus and a five?  It can't count as one symbol, because its two symbols.   Remember when you pilloried my digit recycling as the "Winston Smith" treatment? Well now, we've gone...
Posted in Numerals
SenaryThe12th
4:02 PM - Today
• Number Formatting Proposals for Tapatalk BBCode
All numbers dozenal . Is the extra trouble writing and using 1 55 etc. worth the advantages? Well, no matter how you do it, pretty much half of your signed numbers are going to take an extra digit.   In terms of numbers of symbols, that's actually a wash though--remember, you don't need to use a un...
Posted in Numerals
SenaryThe12th
10:10 AM - Today
• Subitizing/Visualizing large numbers using Signed Bases
I'm glad we had these threads. They've opened up new ideas, including a way of making double-size bases approachable. I mean truly intuitive, like falling off a log. That's fantastic, and wicked cool. 😎 Yes! This, this this, 1000x this (in any base you choose).   We'll all have different ways into ...
Posted in General
SenaryThe12th
3:39 PM - Yesterday
• Subitizing/Visualizing large numbers using Signed Bases
The equivalence of a positional number to a polynomial of powers of the base is fundamental, but your "wacked" notation, and this sometimes-ordinal interpretation arbiter has found for you, utterly violates that. Conversely, true signed-digit arithmetic doesn't violate it, it extends it to allow ne...
Posted in General
SenaryThe12th
12:43 PM - Yesterday
• Subitizing/Visualizing large numbers using Signed Bases
If 17 is leaving something out, wouldn't 1(-5) *also* be leaving something out?   *Yes*. That is *precisely* my point. *Neither* are adequate to convey the sense of *both*. Well, I'm still kind of trying to catch my breath.  I didn't see that coming at all.    I mean the statement is correct (as in...
Posted in General
SenaryThe12th
4:00 AM - Yesterday
• Subitizing/Visualizing large numbers using Signed Bases
How about when you are going the other way?  E.g. you multiply 2 and 4 and get 8.  Then you want to phrase it in signed decimal.  Do you really go directly from the 2 and 4 straight to the 1 and -2?    Without considering that 2 is the complement of 8? Yes, that's exactly what I try to do: 2 * 4 ou...
Posted in General
SenaryThe12th
3:40 AM - Yesterday
• Subitizing/Visualizing large numbers using Signed Bases
I don't see him using those annotations anywhere. Not even as a blanket default. I'm more than happy to conform with any forum standards.   I'm very new to this forum, and I haven't seen any post which summarizes them and endorses them as a norm.  In fact, I kind of took your recent proposal as evi...
Posted in General
SenaryThe12th
6:03 PM - Oct 16, 2018
• Number Formatting Proposals for Tapatalk BBCode
Actually, when I work in non-decimal bases, I try to avoid thinking about the decimal table as much as possible, and instead try to learn the tables like a native user of such a base hypothetically would. That's a good point, and indeed a useful exercise.   This is partly because I like experimenti...
Posted in Numerals
SenaryThe12th
4:45 PM - Oct 16, 2018
• Subitizing/Visualizing large numbers using Signed Bases
NOTE:  No matter *what* notation you are using, when you are dealing with a signed base, you have to keep both the value of the digit and its complement in your head. I don't do that, and it works just fine. ^_^ Indeed, when I look at 2̅ in signed decimal (say), the positive digit I am most likely ...
Posted in General
SenaryThe12th
4:04 PM - Oct 16, 2018
• Subitizing/Visualizing large numbers using Signed Bases
I think a better way of phrasing it would be "when you see the digit 4, you should get two values popping into your head:  4 and whatever the complement of 4 is in your current base".   Some might choose to visualize that, and find it useful while computing and reasoning. Some might not, and might ...
Posted in General
SenaryThe12th
3:19 PM - Oct 16, 2018
• Number Formatting Proposals for Tapatalk BBCode
I agree with Oschkar on this one. To me, the answer to the question of "how do you arrive quickly at the right result for 1.0 / 15̅" is "you don't, just as you don't arrive quickly at the right result for 1.0 / 15". We're in a signed base, so 15̅ is a two-digit number, and you don't learn its table...
Posted in Numerals
SenaryThe12th
2:30 PM - Oct 16, 2018
• Number Formatting Proposals for Tapatalk BBCode
I don’t think people would learn their 7 times table in a signed dozenal world; it would just be treated as another two-digit divisor that you have to estimate and adjust for.  This is correct.  If I were *only* interested in using 1 base, and that base was signed dozenal,  I'd never bother learni...
Posted in Numerals
SenaryThe12th
2:03 PM - Oct 16, 2018
• Number Formatting Proposals for Tapatalk BBCode
That's your opinion. Its my *experience*.  I tried it both ways; my way worked better for me.  YMMV.
Posted in Numerals
SenaryThe12th
1:44 PM - Oct 16, 2018
• Subitizing/Visualizing large numbers using Signed Bases
The trouble with this, is that you are speaking in such abstractions, in such generalizations, that this little homily could mean almost anything.  It wasn't like a page from Euclid's Elements, but you didn't seem to have any trouble understanding it.  You got exactly what I was talking about immed...
Posted in General
SenaryThe12th
12:55 PM - Oct 16, 2018
• Number Formatting Proposals for Tapatalk BBCode
If I look at long division for 7 into 1.0 (dec or doz), I have no trouble, because I know the 7 times table. How do you arrive quickly at the right result for 1 5  into 1.0 (doz) and similar cases, given the necessity of the closest multiplication in absolute value? In a base like dozenal, which ha...
Posted in Numerals
SenaryThe12th
12:47 AM - Oct 16, 2018
• Number Formatting Proposals for Tapatalk BBCode
Negating a number can be a pain--especially in the unbalanced signed digit notations which I prefer.  Negating a number couldn't be easier: just give it a minus sign. Whether that's a little line on the left or a little line over or a little line through middle, that's all there is to it. If the nu...
Posted in Numerals
SenaryThe12th
12:24 AM - Oct 16, 2018
• Signed double-dozenal / tetravigesimal
You know, arbiteroftruth, it strikes me that this idea works just as well on small bases as it does on large.   For example, we could visualize a 2-digit senary number as a mermaid who is every day practices her laps on a pool which is divided into a 3x3 grid.   She starts at the lower left (grid 1,...
SenaryThe12th
8:12 PM - Oct 15, 2018
• Signed double-dozenal / tetravigesimal
For reptends, I like Sen's suggestion of using a second radix point to mark the start of the pattern, but I'm not convinced about using a closing radix point to mark an oscillating sign. That seems like it could clash too easily with punctuation outside the numeral, but I guess if the number is goi...
SenaryThe12th
5:39 PM - Oct 15, 2018
• Number Formatting Proposals for Tapatalk BBCode
All interesting, thanks. Is there a reason why you take the extra step in the long divisions of creating a negation to add instead of just subtracting the multiplication directly? To avoid subtraction, only?  Yeah, to echo what DS said, one of the advantages of a signed digit representation is that...
Posted in Numerals
SenaryThe12th
1:46 PM - Oct 15, 2018
• Signed double-dozenal / tetravigesimal
The plus-minus symbol (±) is just my suggestion to represent "oscillate between repetend and its negative". If anyone has a better idea for that, I'm open. https://cdn.jsdelivr.net/emojione/assets/svg/1f642.svg How about expressing a repeating digit past the radix point by repeating the radix point...
SenaryThe12th
11:19 AM - Oct 15, 2018
• Number Formatting Proposals for Tapatalk BBCode
Kodegadulo: 4) Use [ font=Courier ] instead of [ code ] for ASCII art. Advantages: Seamless with the rest of the message. No stupid scrolling code box. God, thank you for this Kodo.  I really hate that scrolling code box.    I'm going to go back and re-edit my posts to do it this way.   Not now, bu...
Posted in Numerals
SenaryThe12th
2:30 PM - Oct 13, 2018