According to p. 45 of Russel & Norvig's AI book,
a look up table for the game of chess (i.e. if you mapped every achievable permutation of chess pieces on a board) you would have 10^150 entries. Unfortunately, there are only 10^80 atoms in the observable universe. Even with excellent heuristics, I think these numbers show that a computer that capable of playing perfect chess will not be built in the foreseeable future.
Natural Numbers--
If a number is not an integer, it would be perpetually multiplied by three and thus would not follow the 4,2,1 pattern. Previous posts have established that if the number is an integer 0) tested do conform to this is property.
If you would like to prove this property, you will obviously need the principle of mathematical induction. You would start with the base case of saying that the property holds for 1, the first number in the series, or P(1) holds. This is easy--
1 => 1*3 + 1 = 4 => 4/2 = 2 => 2/2 = 1 =>...
So, we essentially have to show that each number resolves to 1. We incidentally have proved by construction that 1 will infinitely cycle. Next, we assume that the property holds for P(n). We want to show that the property will hold for P(n+1). This is the tricky part. I would start the proof by saying
If P(n) is odd, the next number in the sequence will be 3n + 1. By definition, this number will resolve to 1. If P(n) is even, n/2 will also resolve to 1. Each of these numbers are added into the set A. Continue extrapolating numbers from these two values and add them to A.
Similarly, if P(n+1) is odd, the next number in the sequence will be 3n + 4, if it's even, it will be (n + 1)/2. Both of these numbers will resolve to 1. Each of these numbers are added into to the set B. Continue extrapolating numbers from these two values and added them to B.
When we find a common element in A and B, we will have proven the hypothesis.
AN ANONYMOUS RAAEDR WRIETS FORBS HAS AN ARTICL3 ABOUT TEH COME BAK OF PSION IN TEH HIGH END PDA MARKET!!!11 PSIONS OS SYMBIAN TAHT USED 2 POWER THEYRE PDA (AS DA REVO FOR AXMPLE OR DA S3REIS 3 OR DA S3REIS 5) HAS B3N MOSTLY USED IN C3L PHON3S LAETLY LIEK TEH NOKIA 36501!!!11!1 WTF LOL ACORDNG 2 FORBSS ARTICL3 DA NU PSION LAP2P/PDA TEH NATBOK PRO WIL NOT B POWARED BY SYMBIAN OS BUT BY MICROSOFT C3N3T!1!11 PROS2AELX POINTS OUT A ZDNET REVEIW OF DA D3VIEC WHICH IS SMALAR THAN UR USUAL NOT3BOK PC BUT LARGER THAN A RAGULAR PDA11!1111! LOL TEH PRODUCT W3B SIET CONTANES SPECIFICATIONS IN PDF FORMAT1!1!111! OMG WTF LOL ITS AN INT3L XSCAEL PXA25 40MHZ 128MB SDRM AND 32MB FLASH SVGA (80X60) DEVIEC SUPORTNG COMPACTFLASH AND SECURE DIGITAL (USUAL FOR PDAS) AS WEL AS PCMCIA (USUAL FOR LAP2PS) AND NOTES TAHT DESPIET DA OS DA SPACS LIST TEH PRESENC3 OF JEM-C3 JAVA VIRTUAL MACHIEN111!1!
This process is really just a technical achievement. It was built by having existing devices function in parallel to produce more bandwidth on all edges. I highly doubt that anyone thought this was impossible beforehand. While this is an interesting hack, don't make the mistake that this is a significant contribution to human knowledge.
What about the Object class? Having everything (with the exception of native datatypes that can be wrapped into classes) be a descendant of a superclass is a far more elegant solution than using c++'s hackish and syntactically awkward template feature.
Outside of the price of the operating system, Microsoft (or Apple or any other company that develops os's) does not collect part of the revenue the product from the product. This is inherent in the definition of a sharecropper-- "A tenant farmer who gives a share of the crops raised to the landlord in lieu of rent."
how do you like that Axim compared to something like a Palm m515
While the m515 is cheaper, I think the Axim is ultimately a better deal. First, the PocketPC's handwriting recognition is much better than the Palm's. Second, the Axim's screen is brighter and clearer than the Palms. Most importantly, you can hook up a CF card to the Axim allowing you to use 802.11b-- an essential feature for college students. The CF card is much easier to carry around than a Palm WiFi expansion-- the whole Axim package, CF Card included, will fit in your pocket, the Palm won't. Additionally, the Axim comes with 64MB of RAM, the Palm only comes w/ 16. At last check the Axim was $293 and the m515 was $299.
I know that palms are able to backup everything on the PC's hard drive, can your Axim do this?
My advice is to bring a desktop and a high end PDA to school. Desktops are cheaper, faster, more reliable, and harder to steal than notebooks. With the money you save buying a desktop, get a 17" flat panel monitor (so you can type code and view documentation simultaneously) and a high-end PDA with Wi-Fi capability (I use an Axim and a Wi-Fi cf card.) When not in use, you can carry around the PDA in your pocket, ensuring that it will always be on your person and not in an easy to steal location (e.g. sitting unattended in the library.) Use the PDA for the odd occasion when you need to type something up for a class or take notes for someone else. Also, use it to IM people in between class and surf the web while you do your laundry.
Here is a link or something from the ExtremeTech article (http://www.extremetech.com/article2/0,3973,555530,00.asp): Almost Spartan compared to the others, it installs with many features intentionally disabled to avoid potential security holes. Its highly focused development team is constantly tweaking, critiquing, and auditing every line of the code, and their commitment to excellence shows in the operating system's track record-- only one security hole that would allow an intruder to break in from the Internet has been discovered in the past 6 years. While the other BSDs have begun to catch up with OpenBSD's security practices, none of them can claim anywhere near as impressive a track record.
Please excuse my ignorance, but why would I choose FreeBSD over OpenBSD? OpenBSD is more stable and secure. Why take the extreme step of using a *BSD distro if you're not goning to with the most secure one. If you value ease of use, why not go with some advanced flavor of Linux or even *GASP* the latest version of Win2K Server.
Another thought: Do you think Bob Dylan is even remotely aware of Linux?
A couple years ago, someone asked Dylan if he used the internet, the response was:
"I'm afraid of the internet. I'm afraid somebody...some pervert's gonna lure me somewhere"
Given this response as well as other anti-technological statements, I doubt that he has any interest in high technology, let alone operating system politics. It is a shame about Chronicles, BTW.
You're confusing art with craft. Craft is the creation of something that is useful (e.g. a house or a pot) and has artistic qualities. Art is necessarily utilitarian.
create a new breed of intellectually and physically superior people
Once this becomes safe, why not use it to give your children every advantage possible. This would be analogous to not allowing your children to go to an Ivy League school because you think it would give them an unfair advantage, or moving to a lower class neighborhood because you think the public schools in your district are too good!
'Consumers will be able to make permanent copies of songs and transfer them to recordable CDs, portable music players and their computer hard drives'
We already can-- it's called an analouge loop-back. Unless analouge sound cards are suddenly outlawed I don't see you ever won't be able to make copies of music on your computer.
Apparently the reasearchers are starting by making a robot to clean your clock.
Apparently the "reasearchers" also have a spell checker.
Researchers would focus on legalizing cock fights and making robots to clean my house.
I think clone wars is the perfect name for a cartoon series that is based on a series of five movies.
According to p. 45 of Russel & Norvig's AI book, a look up table for the game of chess (i.e. if you mapped every achievable permutation of chess pieces on a board) you would have 10^150 entries. Unfortunately, there are only 10^80 atoms in the observable universe. Even with excellent heuristics, I think these numbers show that a computer that capable of playing perfect chess will not be built in the foreseeable future.
numbers tested so far eventually hit this loop
...
Natural Numbers-- If a number is not an integer, it would be perpetually multiplied by three and thus would not follow the 4,2,1 pattern. Previous posts have established that if the number is an integer 0) tested do conform to this is property.
If you would like to prove this property, you will obviously need the principle of mathematical induction. You would start with the base case of saying that the property holds for 1, the first number in the series, or P(1) holds. This is easy--
1 => 1*3 + 1 = 4 => 4/2 = 2 => 2/2 = 1 =>
So, we essentially have to show that each number resolves to 1. We incidentally have proved by construction that 1 will infinitely cycle. Next, we assume that the property holds for P(n). We want to show that the property will hold for P(n+1). This is the tricky part. I would start the proof by saying
If P(n) is odd, the next number in the sequence will be 3n + 1. By definition, this number will resolve to 1. If P(n) is even, n/2 will also resolve to 1. Each of these numbers are added into the set A. Continue extrapolating numbers from these two values and add them to A.
Similarly, if P(n+1) is odd, the next number in the sequence will be 3n + 4, if it's even, it will be (n + 1)/2. Both of these numbers will resolve to 1. Each of these numbers are added into to the set B. Continue extrapolating numbers from these two values and added them to B.
When we find a common element in A and B, we will have proven the hypothesis.
Will soon appear under an LED on the new Thinkpad's keyboard.
This is odd... I think the thousands place in the 102,000 number is somehow related to the fact that it returns 2 results in stead of 1. Try it here http://www.google.com/search?hl=en&ie=UTF-8&oe=UTF -8&q=candle+and+truck&btnG=Google+Search.
AN ANONYMOUS RAAEDR WRIETS FORBS HAS AN ARTICL3 ABOUT TEH COME BAK OF PSION IN TEH HIGH END PDA MARKET!!!11 PSIONS OS SYMBIAN TAHT USED 2 POWER THEYRE PDA (AS DA REVO FOR AXMPLE OR DA S3REIS 3 OR DA S3REIS 5) HAS B3N MOSTLY USED IN C3L PHON3S LAETLY LIEK TEH NOKIA 36501!!!11!1 WTF LOL ACORDNG 2 FORBSS ARTICL3 DA NU PSION LAP2P/PDA TEH NATBOK PRO WIL NOT B POWARED BY SYMBIAN OS BUT BY MICROSOFT C3N3T!1!11 PROS2AELX POINTS OUT A ZDNET REVEIW OF DA D3VIEC WHICH IS SMALAR THAN UR USUAL NOT3BOK PC BUT LARGER THAN A RAGULAR PDA11!1111! LOL TEH PRODUCT W3B SIET CONTANES SPECIFICATIONS IN PDF FORMAT1!1!111! OMG WTF LOL ITS AN INT3L XSCAEL PXA25 40MHZ 128MB SDRM AND 32MB FLASH SVGA (80X60) DEVIEC SUPORTNG COMPACTFLASH AND SECURE DIGITAL (USUAL FOR PDAS) AS WEL AS PCMCIA (USUAL FOR LAP2PS) AND NOTES TAHT DESPIET DA OS DA SPACS LIST TEH PRESENC3 OF JEM-C3 JAVA VIRTUAL MACHIEN111!1!
t or.html
http://ssshotaru.homestead.com/files/aolertransla
This process is really just a technical achievement. It was built by having existing devices function in parallel to produce more bandwidth on all edges. I highly doubt that anyone thought this was impossible beforehand. While this is an interesting hack, don't make the mistake that this is a significant contribution to human knowledge.
KKK promised to redesign updated turbos, but it failed to come through with the goods.
I smell a new Microsoft conspiracy...
So much for the innocence of "French Connection, United Kindom"
Any other questions?
What about the Object class? Having everything (with the exception of native datatypes that can be wrapped into classes) be a descendant of a superclass is a far more elegant solution than using c++'s hackish and syntactically awkward template feature.
Outside of the price of the operating system, Microsoft (or Apple or any other company that develops os's) does not collect part of the revenue the product from the product. This is inherent in the definition of a sharecropper-- "A tenant farmer who gives a share of the crops raised to the landlord in lieu of rent."
how do you like that Axim compared to something like a Palm m515
While the m515 is cheaper, I think the Axim is ultimately a better deal. First, the PocketPC's handwriting recognition is much better than the Palm's. Second, the Axim's screen is brighter and clearer than the Palms. Most importantly, you can hook up a CF card to the Axim allowing you to use 802.11b-- an essential feature for college students. The CF card is much easier to carry around than a Palm WiFi expansion-- the whole Axim package, CF Card included, will fit in your pocket, the Palm won't. Additionally, the Axim comes with 64MB of RAM, the Palm only comes w/ 16. At last check the Axim was $293 and the m515 was $299.
I know that palms are able to backup everything on the PC's hard drive, can your Axim do this?
Yes... but only if you are running Windows.
My advice is to bring a desktop and a high end PDA to school. Desktops are cheaper, faster, more reliable, and harder to steal than notebooks. With the money you save buying a desktop, get a 17" flat panel monitor (so you can type code and view documentation simultaneously) and a high-end PDA with Wi-Fi capability (I use an Axim and a Wi-Fi cf card.) When not in use, you can carry around the PDA in your pocket, ensuring that it will always be on your person and not in an easy to steal location (e.g. sitting unattended in the library.) Use the PDA for the odd occasion when you need to type something up for a class or take notes for someone else. Also, use it to IM people in between class and surf the web while you do your laundry.
It sounds much worse if you reverse the characters making it a # f.
Almost Spartan compared to the others, it installs with many features intentionally disabled to avoid potential security holes. Its highly focused development team is constantly tweaking, critiquing, and auditing every line of the code, and their commitment to excellence shows in the operating system's track record-- only one security hole that would allow an intruder to break in from the Internet has been discovered in the past 6 years. While the other BSDs have begun to catch up with OpenBSD's security practices, none of them can claim anywhere near as impressive a track record.
Please excuse my ignorance, but why would I choose FreeBSD over OpenBSD? OpenBSD is more stable and secure. Why take the extreme step of using a *BSD distro if you're not goning to with the most secure one. If you value ease of use, why not go with some advanced flavor of Linux or even *GASP* the latest version of Win2K Server.
Another thought: Do you think Bob Dylan is even remotely aware of Linux?
A couple years ago, someone asked Dylan if he used the internet, the response was:
"I'm afraid of the internet. I'm afraid somebody...some pervert's gonna lure me somewhere"
Given this response as well as other anti-technological statements, I doubt that he has any interest in high technology, let alone operating system politics. It is a shame about Chronicles, BTW.
Here are the lyrics to Bob Dylan's Positively 4th Street-- the song the title borrowed from.
You're confusing art with craft. Craft is the creation of something that is useful (e.g. a house or a pot) and has artistic qualities. Art is necessarily utilitarian.
create a new breed of intellectually and physically superior people
Once this becomes safe, why not use it to give your children every advantage possible. This would be analogous to not allowing your children to go to an Ivy League school because you think it would give them an unfair advantage, or moving to a lower class neighborhood because you think the public schools in your district are too good!
'Consumers will be able to make permanent copies of songs and transfer them to recordable CDs, portable music players and their computer hard drives'
We already can-- it's called an analouge loop-back. Unless analouge sound cards are suddenly outlawed I don't see you ever won't be able to make copies of music on your computer.
keep the Linux Gamers satisfied with what is commercially available
Come on! No Linux gamer with his stuffed penguin would say that it is possible for him to be satisfied with what is commercially available for Linux.
KARMA WHORE!