Earlier quoted context omitted.
>In fact, any lossless compression algorithm has the property that the output is (on average) at least as long as the input I don't think this is true. If it was, lossless compression would be useless in a lot of applications. It's pretty easy to come up with a counter example. E.g. (simple huffman code off the top of my head, not optimal) symbol -> code "00" -> "0" "01" -> "10" "10" -> "110" "11" -> "111" If "00" wi…
https://en.wikipedia.org/wiki/No_free_lunch_theorem
A bootable CD image with a retro game in a single tweet
101–110 of 150 posts
Re: A bootable CD image with a retro game in a single tweet
#102This reminds me a bit of the science of nanoinformatics as described in one of the Expanse novellas (The Vital Abyss): " A thought experiment from my first course in the program: Take a bar of metal and put a single notch in it. The two lengths thus defined have a relationship that can be expressed as the ratio between them. In theory, therefore, any rational number can be expressed with a single mark on a bar of met…
> Or the machine language expression of the most advanced expert systems, though by then the notch might be small enough that Planck’s constant got in the way. With Planck's length being roughly 10^-35m, I'd say you'd hit the limit trying to store more than 15 bytes.
How are you calculating a value of simply 15 bytes? The proposal is that the mathematical value of the ratio of the lengths of rod and the notch will deliver a value on the number line, which in effect can be of any desired length. You actually could find a number that can represent the complete contemporary knowledge of Humanity.
The limitations mentioned in the above comment relate to the fact that to know you'd arrived at the number designed into the Notch and the Rod, you'd have to have agreed to beforehand the tolerance limits on measurement of this 'device' so that the uncertainty in measurement can be ignored and the ratio derived.
To maybe get the right number you would have to expand your possible number of ratios (at a certain measurement sensitivity you would have a certain number of lengths you could use, and thus certain number of ratios would be available to you) and to get just the right number to describe your whole "machine language expression of the most advanced expert systems" you would have to delve into tolerances of the Plank length.
Or adjust the size of your rod length and notch, make them bigger, to get that sweet number with a 'poorer' level of sensitivity.
.. Or find a number with enough usable number sequences to serve the purpose and program in the numbers surrounding gibberish as markers/jump points to the next sequence of usable numbers. I suppose you could find enough usable sequences in the full expression of pi (as it's rational expression is without end) to write a program that can decode the full linux kernel out of it.
Re: A bootable CD image with a retro game in a single tweet
#103Earlier quoted context omitted.
The same has been said about Pi (3.14). If you can compute, store and search enough the digits of Pi, you can reference anything by just providing the 'start' and 'finish' locations. Unfortunately, with enough digits of Pi, the 'start' and 'finish' numbers can get quite long themselves.
http://www.angio.net/pi/ My 11 digit phone number occurs around the 115 millionth digit, a grand saving of two digits.
Wow, isn’t there a really low probability of finding your phone number in the first 200m digits of pi? (0.09995% in first 100m) I’m tempted to start throwing a dictionary of phone numbers through this pi lookup to find your number, call you, and verify, I think you could quickly narrow in on your phone number given the information above.
Re: A bootable CD image with a retro game in a single tweet
#104This reminds me a bit of the science of nanoinformatics as described in one of the Expanse novellas (The Vital Abyss): " A thought experiment from my first course in the program: Take a bar of metal and put a single notch in it. The two lengths thus defined have a relationship that can be expressed as the ratio between them. In theory, therefore, any rational number can be expressed with a single mark on a bar of met…
The late mathematics popularizer Martin Gardner wrote about this concept in the 1970s (I think his example involved reducing the Encyclopedia Britannica to a notch), although I don't know if the idea was unique to him or if he was popularizing an earlier idea.
Re: A bootable CD image with a retro game in a single tweet
#105This is the second time this week I've seen someone note that ISO standards are expensive - are they copyrighted or something? Why doesn't someone just publish them online for free?
I bought the ISO 14000 Standard Document (Environmental Management) for $170 earlier this year, so it is not expensive for a company. Not sure how the "technical documents" ala ISO 9660 differs in price.
The certification on the other hand is a bit more costly though. My estimation of the certification cost for a ~20 people company if you do it as frugally as possible ended up at $18000 for the first year investment, and $6200 recurring the following years.
Re: A bootable CD image with a retro game in a single tweet
#106Earlier quoted context omitted.
I said effectively. > TRON's trail is static, Snakes body is dynamic. And that difference only exists to support the single player vs multiplayer dynamic. If Snake left a Tron tail then it would be a very short, unfun experience. If Tron didn't leave a permanent trail then matches would last too long.
> And that difference only exists to support the single player vs multiplayer dynamic Maybe the single player vs multiplayer difference only exists to support the different tail mechanics.
In the middle ground, NIBBLES.BAS was snake and had a competitive 2 player mode plus a selection of levels/arenas.
Re: A bootable CD image with a retro game in a single tweet
#107Earlier quoted context omitted.
http://www.angio.net/pi/ My 11 digit phone number occurs around the 115 millionth digit, a grand saving of two digits.
Wow, isn’t there a really low probability of finding your phone number in the first 200m digits of pi? (0.09995% in first 100m) I’m tempted to start throwing a dictionary of phone numbers through this pi lookup to find your number, call you, and verify, I think you could quickly narrow in on your phone number given the information above.
I think you'll have trouble. Assuming the first digit of the phone number is somewhere between 114.5 million and 115.5 million, you have 1 million potential 11 digit numbers to check.
There are 10^11 sequences with 11 digits. The number of people in the USA is 3×10^8, and we can assume there is roughly 1 number per person (some people don't have a phone number and some people have more than one, but it turns out that the exact approximation won't matter unless we're a few of orders of magnitude off). So about 0.3% of 11 digit sequences are valid phone numbers.
So there are approximately 0.3% × 1000000 = 3000 people with phone numbers around the 115 millionth digit of pi. You have no way of knowing which one of those people is sjcsjc.
Re: A bootable CD image with a retro game in a single tweet
#108Earlier quoted context omitted.
I'm reminded of the RSA in Perl "weapon" t-shirt :) https://upload.wikimedia.org/wikipedia/commons/9/96/Munition...
Man that shirt is awesome... But man I would never wear that shirt as that looks like the crown jewel of any neckbeards collection
It sounds like you've been trained to hate something that you actually love. That's kind of sad. Couldn't you just wear the awesome shirt while avoiding the negative aspects of neckbeards?
Re: A bootable CD image with a retro game in a single tweet
#109Earlier quoted context omitted.
> Or the machine language expression of the most advanced expert systems, though by then the notch might be small enough that Planck’s constant got in the way. With Planck's length being roughly 10^-35m, I'd say you'd hit the limit trying to store more than 15 bytes.
How are you calculating a value of simply 15 bytes? The proposal is that the mathematical value of the ratio of the lengths of rod and the notch will deliver a value on the number line, which in effect can be of any desired length. You actually could find a number that can represent the complete contemporary knowledge of Humanity. The limitations mentioned in the above comment relate to the fact that to know you'd ar…
Assuming the length of the rod is 1m, and you have a resolution of one plank length, there are 10e35 possible ratios you can express (because that's the number of possible locations of the notch). that's about 2^113, which is a number which fits in 15 bytes of information. As discussed below, if you also allow for the bar to be the size of the observable universe, this doesn't increase by much. A notch or ratio is linear, information and combinatorics grows a lot lot faster than that.
Re: A bootable CD image with a retro game in a single tweet
#110Earlier quoted context omitted.
I'm reminded of the RSA in Perl "weapon" t-shirt :) https://upload.wikimedia.org/wikipedia/commons/9/96/Munition...
Man that shirt is awesome... But man I would never wear that shirt as that looks like the crown jewel of any neckbeards collection
So who's going to wear that bad boy through a US border? For full effect add a btc address, a tor logo, anonymous mask and take no electronic devices.