Why aren't plane takeoffs balloon-assisted?
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Mobile Email from a Cingular Wireless Customer http://www.cingular.com
Why aren't plane takeoffs balloon-assisted?
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Mobile Email from a Cingular Wireless Customer http://www.cingular.com
How should a company store private information about its customers, to lessen the danger of accidentally disclosing it, as AT&T has?
Perhaps the company should always store each customer's data encrypted so that only the customer knows the key. A company data breach reveals very little, though one must guard against phishing attacks attempting to lure the customer into revealing the key of the breached data.
Perhaps personal information should be stored only on each customer's personal server. If done correctly, an attacker steals only one identity for breaking one server, and it induces care on the customers' part to guard their information.
These are just seeds of ideas, unpractical as yet. Perhaps with a large mess of crypto and other engineering and financial innovations, they may become workable.
The collapse of a ceiling tile in the Big Dig brings to light that humanity may possess the technology and resources to complete huge projects, yet cannot because of the final human link to use the technology correctly, and manage its finances and workers. We know how to apply epoxy to a bolt to anchor it into concrete, but we failed. It makes the successful construction of the pyramids 5000 years ago even more impressive. How did Cheops manage an army of probably uneducated not very motivated slaves to build a perfect pyramid with internal rooms and such?
Humanity faces many huge future projects: travel to and colonization of oceans, the moon, planets, and stars, other infrastructural, environmental, and big science projects. Can we do them?
Yes, with robots and softbots. Semi-intelligent autonomous agents constantly buzzing around to monitor finances, attend meetings, watch construction. Speech recognition, vision, etc. to make sure the epoxy is being applied correctly.
An oracle in computer science is a purely theoretical device, a "magical black box", which can perform some computation, usually known to be impossible or difficult with computers. It is "purely theoretical" because they are generally only used in proofs and analyses, in order to make the proof simpler or analysis easier.
Oracles find their way into computability/decidability analysis, complexity analysis, cryptography, and artificial intelligence.
In computability/decidability analysis, oracles are typically called upon to perform a computation known to be impossible. For example, suppose one had a magical black box, an oracle, that could solve the halting problem. (Elementary computer science shows that the halting problem is impossible to solve with any kind of normal computer, no matter how fast or big it is.) But suppose one did. The argument goes "then what?" It turns out among the many problems that a normal computer cannot solve, some of these problems can be solved with access to the oracle, whereas others still cannot be solved even with this oracle. This pure thought experiment involving an unrealizable object partitions the space of impossible problems into two distinct sets, which we may perhaps label "Easier than the Halting Problem" and "Harder than the Halting Problem". Thus, there is a hidden structure among abstract computability problems that is revealed by an argument involving an oracle. Some people find this interesting.
Assuming an oracle surprisingly does not break the world. That is, although the argument or proof begins with a statement known to be false, it still achieves a useful result. On the other hand, if we began the proof with a different statement known to be false, "False equals True", the world breaks. Nothing interesting can be derived from such a statement.
As an aside: Does this Turing Machine accept all strings? Is the language of this Turing Machine empty? These problems may be harder than halting (one can check). Is one harder than the other?
An oracle in computability/decidability analysis most resembles the popular conception of an oracle: someone who has a special connection to God and can know things that no normal human can possibly know. But human history is fraught with struggles over who is or was really an oracle, but in computer science, an oracle is always purely theoretical: it does not really exist, we don't expect it to exist, and we aren't trying to make one. It is just a method for analyzing and exploring computer science theory.
Complexity theory in computer science deals with how long (how much computation) it will take for a computer to solve a problem. (Sometimes it deals with how much memory it will take, as well.) Oracles in complexity theory are often called upon to perform not-impossible computation, but perform it at impossible speed, often constant time. For example, sorting by comparison has been proven to take at least O(n log n) time (actually not big-O but big-Theta to be precise). However, suppose we had an oracle that could sort in constant time, no matter the number of items to sort: highly unrealistic, of course. "Then what?" so the argument goes. It turns out you can sometimes prove that, even with some oracle, a computation will take some amount of time, thus one can conclude that here in real world, where no impossibly-fast oracle exists, the computation must take at least that amount of time. Such a result is often useful, in a depressing way: give up now.
I have often read that there exist oracles that make P=NP (obviously one that can solve 3SAT in polynomial time will do it), and there exist oracles if they were to exist, make P not equal to NP. The latter case confuses me. Cannot one simply choose not to use the oracle and achieve the same answer that P!=NP?
In cryptography, one most often hears of a "random oracle". This oracle is simply a perfect cryptographic hash function. It is usually expected to run in constant or linear time in the length of the input. A hash function takes input, a "message", of arbitrary length and returns a hash, or a "digest", typically a fixed-size bit-string. A good cryptographic hash function has the properties that it is very difficult to produce two different messages that have the same hash, and given a hash, it is difficult to produce a message that has that hash. It also ought to have other desirable properties, as captured by the idealized random oracle.
One can imagine a random oracle as an entity with infinite memory living inside a black box which does the following. Upon receiving a message, it first checks its memory to see if it has seen this message before. If it has, it returns, i.e., outputs, the same hash as it did last time. If not, it flips a coin the appropriate number of time for the width of the hash, and outputs that hash, and then remembers it for the future if it ever sees the message again.
I wrote up above that in decideability analysis, one isn't trying to construct an oracle, but in cryptography, people are trying to construct random oracles, i.e, hash functions. Whereas it's known that you will never have a hash function that will perform as well as the God-in-a-box described above, functions (algorithms) such as SHA-512 in the SHA-2 family and Whirlpool are thought to approximate it fairly well, and are quickly computable, and most importantly do not require infinite memory, in fact, they require no persistent memory at all between successive calls. (I say "are thought" as some people think hash functions still have a long way to get better.)
In artificial intelligence, surprisingly the oracle exists. Artificial intelligence deals with trying to get a computer to solve a problem that humans can do easily, for example handwriting recognition. An oracle is therefore just a normal human who can do the task that the computer is trying and perhaps failing to do. Computers have a hard time with reading hand-written text and generally do poorer than humans. Oracles are not so often used in arguments in artificial intelligence. However, an proof or an analysis might go something like this. Our algorithm for handwriting recognition has such-and-such accuracy. However, if it given access to an oracle who will give the right answer to just such-and-such small number of the cases, the algorithm's accuracy increases dramatically.
The "oracle" in question is a human being who can read the handwriting, or even ultimately the person who originally wrote it, so knows what it actually says. However, the word "oracle" still has the same usage as in other fields of computer science: the oracle is an external entity (outside the algorithm or computer) which is consulted to give the right answer to a problem.
It is flattering to think that in artificial intelligence, just we regular humans are oracles. In a computer's eyes, we are gods and messiahs. Or perhaps artificial intelligence researchers like to think of themselves as such for their computers.
We first had some code like this:
(: test3 :fun (IO :unit)() (:do (:= input getContents) (:= db (cascade-substitutions 1 (:rpipe input lines (map words) (map create-line)))) (:= db (cascade-substitutions 2 db)) (:= db (cascade-substitutions 3 db)) (return :nothing) ))
or in Haskell:
test3 = (do{ input<-getContents; db<-(cascade_substitutions 1 ((map create_line)((map words)(lines(input))))); db<-(cascade_substitutions 2 db); db<-(cascade_substitutions 3 db); (return ()); });
cascade-substitutions
runs in the IO
monad and produces output, as well as updates the db
.
However, cut-and-paste growing the code results in the compiler (ghc 6.4) quickly running out of memory after about 1000 repetitions of the cascade-substitutions
line.
After manually rewriting the do
-notation we get
(>>= (>>= (>>= (>>= getContents (:lambda f1 ((input)) (cascade-substitutions 1 (create-many-lines input)))) (:lambda f2 ((db)) (cascade-substitutions 2 db))) (:lambda f3 ((db)) (cascade-substitutions 3 db))) (:lambda finish ((_)) (return :nothing)))
or in Haskell:
((>>=) ((>>=) ((>>=) ((>>=) getContents (\ (input) -> (cascade_substitutions 1 (create_many_lines input)))) (\ (db) -> (cascade_substitutions 2 db))) (\ (db) -> (cascade_substitutions 3 db))) (\ (_) -> (return ())))
We note that >>=
is left-associative. We can put the inner loop in a list.
(:mlist (:lambda f2 ((db)) (cascade-substitutions 2 db)) (:lambda f3 ((db)) (cascade-substitutions 3 db)))
We can then generate that list with an map that generates a list of lambda functions, and (foldl >>=)
them.
(>>=(foldl >>= (>>= getContents (:lambda f1 ((input)) (cascade-substitutions 1 (create-many-lines input)))) (map (:lambda create-f ((n)) (:lambda f ((db)) (cascade-substitutions n db))) (enumFromTo 2 10000)) ) (:lambda finish ((_)) (return :nothing)))
or in Haskell:
((>>=) (foldl (>>=) ((>>=) getContents (\ (input) -> (cascade_substitutions 1 (create_many_lines input)))) (map (\ (n) -> (\ (db) -> (cascade_substitutions n db))) (enumFromTo 2 10000))) ((_) -> (return ())))
On one hand, I'm surprised there isn't already a "foldl bind", however this has a problem: If (enumFromTo 2 10000)
is replaced with (enumFrom 2)
, i.e., the infinite list [2..]
, then the program runs out of memory during execution before producing any output. Let's try foldM
.
(: test5 :fun (IO :unit) () (:do (:= input getContents) (:= _ (foldM (flip cascade-substitutions) (create-many-lines input) (enumFrom 1 ))) (return :nothing) ))
or in Haskell:
test5 = (do{ input<-getContents; _<-(foldM (flip cascade_substitutions) (create_many_lines input) (enumFrom 1)); (return ()); })
This one runs well without running out of memory. foldM
is the answer.
Additional keywords: sequence, state, foldr, sequence_
It would be nice if the acceleration factor of autoscroll (sensitivity) could be customized. bug 350355
function accelerate . . . var speed = 12;
consider a reality tv show based on contestants or teams of contestants trying to fool each other with deceptive writing.
Balanced binary, where x=Sum_i {-1,0,1}*2^i, is an interesting way of representing integers. A given number may have more than one representation: the one with the least bits set can be found by search with memoization.
a large table of primes may be stored in consecutive half-bytes (nybbles) by storing half the gap size less unity between them. If the half-gap-minus-one exceeds 15, jump to the largest multiple of three in between as a stepping stone, encode it, and continue. When decoding the table, we can test divisibility by 3 to see if it is real prime or a stepping stone.
Placebo, dark energy, and cosmic rays are truly interesting problems. I'd add sonoluminescence in there.
Consider a cue ball, an object ball, and a hole lined up perfectly. Let the cue ball be an arbitrary fixed distance from the hole. Where in between the cue and hole should the object ball be for the most difficult shot? If the object ball is just on the edge of the hole, the shot is easy: any contact with the ball will knock it in (amount of error is the angular width of the object ball). If the object ball is frozen against the cue ball, but lined up, again the shot is easy (almost 180 degrees of error). There must be some point in the middle where the shot is most difficult.
For a single object ball and a cue ball in hand which must be shot out of the kitchen, what is the surface of difficulty throughout the possible positions of the object ball?
For all possible positions of the object ball, where in the kitchen is the optimal placement for the easiest shot?
The "Great Gate of Kiev" referred to in Mussorgsky's "Pictures at an Exhibition" refer to a gate that was never actually built.
GoogleBML/K is my first attempt at a bookmarklet. It will be default open each Google web search result in a new window. You can force firefox to open new windows in a new tab in its preferences / options for better results.
This is based on Squarefree's bookmarklets (open all links) (also see the FAQ) and GoogleTabs which didn't work so well with google's new redirecter.
Torbutton, IEView lite, forecastfox++, delicious bookmarklet, stop/reload, greasemonkey.
firefox has this bug that forecastfox causes weird word-wrap behavior when the screen is narrowed beyond the width of the forecasts in the status bar.
Feeling computationally bored. The natural logarithm of 2 in binary is:
. 1 0 1 1 0 0 0 1 0 1 1 1 0 0 1 0 0 0 0 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 0 1 0 0 0 1 1 1 0 0 1 1 1 1 0 1 1 1 1 0 0 1 1 0 1 0 1 0 1 1 1 1 0 0 1 0 0 1 1 1 1 0 0 0 1 1 1 0 1 1 0 0 1 1 1 0 0 1 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 1 0 1 1 1 1 0 1 1 0 1 0 1 0 1 1 1 1 0 1 0 0 0 0 0 0 1 1 1 1 0 0 1 1 0 1 0 0 0 0 1 1 0 0 1 0 0 1 1 0 0 1 1 1 0 0 1 0 1 0 0 1 1 0 0 0 1 0 1 1 0 1 1 0 0 0 1 0 1 1 0 1 1 0 0 0 1 0 1 0 0 0 0 0 1 1 0 1 0 0 0 1 0 1 1 1 0 1 0 1 1 0 1 1 1 0 0 0 1 0 1 1 1 0 1 0 1 0 1 0 1 1 1 1 1 0 1 0 0 0 1 0 1 0 1 1 1 1 1 0 0 1 1 1 1 0 1 1 1 0 0 0 0 1 1 1 0 1 1 0 0 0 1 0 0 0 0 0 0 1 1 0 1 1 0 1 1 1 1 0 1 0 1 1 1 0 1 0 1 1 0 0 1 0 0 1 1 0 0 0 0 1 0 1 0 1 0 1 1 0 0 1 0 1 0 1 0 1 0 1 0 0 1 0 1 1 1 1 1 0 1 1 0 1 0 0 1 0 1 0 1 1 1 1 1 0 1 0 0 0 0 1 1 0 1 1 0 0 0 1 0 0 0 0 1 1 1 0 1 1 0 1 0 0 1 0 1 1 1 0 1 0 1 0 1 1 1 0 0 0 1 1 0 1 0 1 1 1 0 0 0 0 0 1 0 0 1 1 1 0 0 0 0 0 1 0 0 0 0 1 0 1 0 0 0 1 0 0 0 0 1 0 0 1 1 1 0 1 0 1 0 1 1 1 0 0 1 1 1 0 1 1 0 0 1 0 1 0 0 1 0 0 0 1 0 0 0 1 0 1 1 0 1 0 0 1 1 0 1 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