wizjany

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RulesRules FAQFAQ SearchSearch MemberlistMemberlist UsergroupsUsergroups Staff ListStaff List Chat ProfileProfile You have no new messagesYou have no new messages Log out [ wizjany ]Log out [ wizjany ] Report Bad Ad Ctrl+v game Reply to topic Forum.Tip.It Index -> Forum Games View previous topic :: View next topic Author Message flodder450 Unicorn Horn Joined: 24 Jun 2007 Posts: 228 Location: The Netherlands RSN: Flodder450 Clan: Hell-knights PostPosted: Sun Dec 30, 2007 3:44 am Post subject: Ctrl+v game Reply with quote Report post easy enough you copy something an the you paste it in your post! i kick off this game: phsyceddelic colors _________________ Back to top View user's profile Send private message death_grip Chicken Feather Joined: 27 Dec 2007 Posts: 11 PostPosted: Sun Dec 30, 2007 5:01 am Post subject: Reply with quote Report post The Fundamental Theorem of Algebra As remarked before, in the 16th century Cardano noted that the sum of the three solutions to a cubic equation x3 + bx2 + cx + d = 0 is ÃÆââââ¬Å¡Ã¬Ã¢ââ¬Ãâb, the negation of the coefficient of x2. By the 17th century the theory of equations had developed so far as to allow Girard (1595-1632) to state a principle of algebra, what we call now "the fundamental theorem of algebra". His formulation, which he didn't prove, also gives a general relation between the n solutions to an nth degree equation and its n coefficients. An nth degree equation can be written in modern notation as xn + a1xnÃÆââââ¬Å¡Ã¬Ã¢ââ¬Ãâ1 + ... + anÃÆââââ¬Å¡Ã¬Ã¢ââ¬Ãâ2x2 + anÃÆââââ¬Å¡Ã¬Ã¢ââ¬Ãâ1x + an = 0 where the coefficients a1, ..., anÃÆââââ¬Å¡Ã¬Ã¢ââ¬Ãâ2, anÃÆââââ¬Å¡Ã¬Ã¢ââ¬Ãâ1, and an are all constants. Girard said that an nth degree equation admits of n solutions, if you allow all roots and count roots with multiplicity. So, for example, the equation x2 + 1 = 0 has the two solutions ÃÆâÃâ¹Ã¢â¬Â Ãâ¦Ã¡ÃÆââââ¬Å¡Ã¬Ã¢ââ¬Ãâ1 and ÃÆââââ¬Å¡Ã¬Ã¢ââ¬ÃâÃÆâÃâ¹Ã¢â¬Â Ãâ¦Ã¡ÃÆââââ¬Å¡Ã¬Ã¢ââ¬Ãâ1, and the equation x2 ÃÆââââ¬Å¡Ã¬Ã¢ââ¬Ãâ 2x + 1 = 0 has the two solutions 1 and 1. Girard wasn't particularly clear what form his solutions were to have, just that there be n of them: x1, x2, ..., xnÃÆââââ¬Å¡Ã¬Ã¢ââ¬Ãâ1, and xn. Girard gave the relation between the n roots x1, x2, ..., xn, and xn and the n coefficients a1, ..., anÃÆââââ¬Å¡Ã¬Ã¢ââ¬Ãâ2, anÃÆââââ¬Å¡Ã¬Ã¢ââ¬Ãâ1, and an that extends Cardano's remark. First, the sum of the roots x1 + x2 + ..., + xn is ÃÆââââ¬Å¡Ã¬Ã¢ââ¬Ãâa1, the negation of the coefficient of xnÃÆââââ¬Å¡Ã¬Ã¢ââ¬Ãâ1 (Cardano's remark). Next, the sum of all products of pairs of solutions is a2. Next, the sum of all products of triples of solutions is ÃÆââââ¬Å¡Ã¬Ã¢ââ¬Ãâa3. And so on until the product of all n solutions is either an (when n is even) or ÃÆââââ¬Å¡Ã¬Ã¢ââ¬Ãâan (when n is odd). Here's an example. The 4th degree equation x4 ÃÆââââ¬Å¡Ã¬Ã¢ââ¬Ãâ 6x3 + 3x2 + 26x ÃÆââââ¬Å¡Ã¬Ã¢ââ¬Ãâ 24 = 0 has the four solutions ÃÆââââ¬Å¡Ã¬Ã¢ââ¬Ãâ2, 1, 3, and 4. The sum of the solutions equals 6, that is ÃÆââââ¬Å¡Ã¬Ã¢ââ¬Ãâ2 + 1 + 3 + 4 = 6. The sum of all products of pairs (six of them) is (ÃÆââââ¬Å¡Ã¬Ã¢ââ¬Ãâ2)(1) + (ÃÆââââ¬Å¡Ã¬Ã¢ââ¬Ãâ2)(3) + (ÃÆââââ¬Å¡Ã¬Ã¢ââ¬Ãâ2)(4) + (1)(3) + (1)(4) + (3)(4) which is 3. The sum of all products of triples (four of them) is (ÃÆââââ¬Å¡Ã¬Ã¢ââ¬Ãâ2)(1)(3) + (ÃÆââââ¬Å¡Ã¬Ã¢ââ¬Ãâ2)(1)(4) + (ÃÆââââ¬Å¡Ã¬Ã¢ââ¬Ãâ2)(3)(4) + (1)(3)(4) which is 26. And the product of all four solutions is ÃÆââââ¬Å¡Ã¬Ã¢ââ¬Ãâ24. Descartes (1596ÃÆââââ¬Å¡Ã¬Ã¢ââ¬Ãâ1650) also studied this relation between solutions and coefficients, and showed more explicitly why the relationship holds. Descartes called negative solutions "false" and treated other solutions (that is, complex numbers) "imaginary". Over the remainder of the 17th century, negative numbers rose in status to be fullÃÆââââ¬Å¡Ã¬Ã¢ââ¬Ãâfledged numbers. But complex numbers remained in limbo through most of the 18th century. They weren't considered to be real numbers, but they were useful in the theory of equations. It wasn't even clear what form the solutions to equations might take. Certainly complex numbers of the form a + bÃÆâÃâ¹Ã¢â¬Â Ãâ¦Ã¡ÃÆââââ¬Å¡Ã¬Ã¢ââ¬Ãâ1 were sufficient to solve quadratic equations, but it wasn't clear they were enough to solve cubic and higher-degree equations. Also, the part of the Fundamental Theorem of Algebra which stated there actually are n solutions of an nth degree equation was yet to be proved, pending, of course, some description of the possible forms that the solutions might take. Next section: The number i Cool _________________ [Admin Edit: Bad picture removed] Back to top View user's profile Send private message wizjany Goblin Armour Joined: 29 Nov 2006 Posts: 87 Location: lost RSN: Wizjany PostPosted: Sun Dec 30, 2007 12:50 pm Post subject: Reply with quote Edit/Delete this post Report post In mathematics, an imaginary number (or purely imaginary number) is a complex number whose squared value is a real number not greater than zero. The imaginary unit, denoted by i, or j, is an example of an imaginary number. If y is a real number, then iÃÆââââ¬Å¡Ã¬Ãâây is also an imaginary number, because: Imaginary numbers were defined in 1572 by Rafael Bombelli. At the time, such numbers were thought not to exist, much as zero and the negative numbers were regarded by some as fictitious or useless. Many other mathematicians were slow to believe in imaginary numbers at first, including Descartes who wrote about them in his La GÃÆÃâÃâéomÃÆÃâÃâétrie, where the term was meant to be derogatory.[1] Although Descartes originally used the term imaginary number to mean what is currently meant by the term complex number, the term imaginary number today usually means a complex number with a real part equal to 0, that is, a number of the form iÃÆââââ¬Å¡Ã¬Ãâây. Zero (0) is the only number that is both real and imaginary. i is an imaginary number Laughing _________________ ^ Link to Cosmic woodcutting shop ^ Click here or here or here once a day. And click here and here once a day. Back to top View user's profile Send private message cowman_133 Unicorn Horn Joined: 28 May 2007 Posts: 162 Location: Saskatchewan RuneScape World: 115 RSN: Cowman_133 Clan: RuneScape Police Dep PostPosted: Sun Dec 30, 2007 1:43 pm Post subject: Reply with quote Report post Gren Maju665 _________________ Back to top View user's profile Send private message Visit poster's website AIM Address Yahoo Messenger MSN Messenger ICQ Number Sworddude198 Ice Giant Melter Joined: 09 May 2006 Posts: 3,789 Location: Scotland RSN: Quit for AE PostPosted: Sun Dec 30, 2007 1:45 pm Post subject: Reply with quote Report post Gren Maju665 Hehe I'm so witty. You said anything. _________________ Click Sig Picture My Forum| Back to top View user's profile Send private message cowman_133 Unicorn Horn Joined: 28 May 2007 Posts: 162 Location: Saskatchewan RuneScape World: 115 RSN: Cowman_133 Clan: RuneScape Police Dep PostPosted: Sun Dec 30, 2007 1:51 pm Post subject: Reply with quote Report post Duke Dreamer Shows Duke Dreamer is a one-of-a-kind character who has delighted and astounded audiences including the President of Singapore and is featured in an upcoming Rogers Wireless TV commercial. When you experience Duke's show it will include: chainsaw and egg juggling. midget in a cloud, ladder to the sky, comedy juggling (with or without fire) comedy kid inside a- lasso, comedic choreography, rope-walking, and "the human levitation". _________________ Back to top View user's profile Send private message Visit poster's website AIM Address Yahoo Messenger MSN Messenger ICQ Number No_99_Melee Bear Fur Joined: 30 Sep 2007 Posts: 318 Location: USA RSN: no 99 melee Clan: I HATE CLANS! PostPosted: Mon Dec 31, 2007 10:37 pm Post subject: Reply with quote Report post easy enough you copy something an the you paste it in your post! i kick off this game: phsyceddelic colors _________________ I don't own anything in my sig Sad Back to top View user's profile Send private message AIM Address Yahoo Messenger MSN Messenger dizzle229 Scorpion Pit Joined: 04 Sep 2007 Posts: 596 Location: Why do you want to know? Sicko. RSN: dizzle229 Clan: dizzle229 PostPosted: Mon Dec 31, 2007 11:12 pm Post subject: Reply with quote Report post What is it? The Thing?The Thing? rates an entry in Doug Kirby's New Roadside America (1992), and it once was featured in a Jane Pauley television special on NBC. For a one dollar fee, paid at the shop's cash register, one can enter a small outside courtyard leading to three prefab corrugated steel sheds. Inside are a variety of exhibits, including odd wood carvings of tortured souls (by "Ralph Gallagher, artist"), the "wooden fantasy" of painted driftwood (from an Alamogordo collector), framed lithographs, saddles, rifles, a covered wagon and several vintage automobiles. A sign by a 1937 Rolls-Royce makes the claim that it once belonged to Adolf Hitler. Winding corridors and exhibit halls eventually lead to The Thing?, a mummified mother-and-child tableau encased in a glass-covered coffin. The concept of the exhibit references the 1950 novelty song, "The Thing", recorded by Phil Harris, with the Charles R. Grean lyrics that keep the listener from learning the true nature of the Thing in the "great big wooden box a-floatin' in the bay." The narrative song ends with these verses: I wandered all around the town Until I chanced to meet A hobo who was lookin' for A handout on the street He said he'd take most any old thing He was a desperate man But when I showed him the... He turned around and ran Oh, when I showed him the... He turned around and ran I wandered on for many years A victim of my fate Until one day I came upon Saint Peter at the gate And when I tried to take it inside He told me where to go Get out of here with that... And take it down below Oh, get out of here with that... And take it down below The moral of this story is If you're out on the beach And you should see a great big box And it's within your reach Don't ever stop and open it up That's my advice to you 'Cause you'll never get rid of the... No matter what you do Oh, you'll never get rid of the... No matter what you do Also referenced is the 1951 science fiction film, The Thing from Another World, later remade by John Carpenter as The Thing (1982). In 1992, the alternative rock band The Men scored a hit with the song "Church of Logic, Sin and Love," which tells of two lost souls who searched for a purpose, saw the billboards and attempted to find the meaning of life at The Thing?, as noted in this excerpt from the lyrics: Two hours later they decided to stop at a diner, 'Cause they just loved the smell of eggs and coffee. I just had to smoke a cigarette and wear a hat... By the time that they set off again, The sun was starting to set; it made the sky look red like a nuclear ray... One of them said, "What do you want more than anything in this whole wide world? Do you want money? Do you want sex? Or do you want all that success?" I thought about that myself... Then they came upon The Thing? The Thing? ahead 60 miles, do not miss. Not for the squeamish or depressed, Not for the unbelievers truly obsessed, Something you just don't wanna miss. It's the kind of place where space explorers could have landed around 1963; When Kennedy was in Life magazine, And everything was aquamarine... Aquamarine. [edit] Origins This is the product of me randomly mashing buttons on wikipedia... _________________ Who are you and why are you reading my sig? cjmftw13 wrote: There is no such thing as original anymore. Back to top View user's profile Send private message pikachu54673 Unicorn Horn Joined: 21 Apr 2006 Posts: 244 Location: Ontario, Canada RSN: seetons PostPosted: Thu Jan 03, 2008 1:48 am Post subject: Reply with quote Report post *presses CTRL+V* Lol, i posted that a few min ago =p _________________ ^This amazing sig by 4be2jue, Thanks!^ Feel free to (randomly) HYT me in-game, I won't bite =) Back to top View user's profile Send private message Display posts from previous: Reply to topic Forum.Tip.It Index -> Forum Games All times are GMT - 5 Hours Page 1 of 1 Watch this topic for replies Jump to: Announcements, Rules and Security Warnings!RuneScape NewsGeneral Discussion-- QuestionnairesHelp & AdviceArchive of Wisdom-- Player-Made Guides: Skills, Mini Games & Quests-- Player-Made Guides: Monsters, Money-Making, Tips & OtherMarketplace-- Fletching/Construction/Hunter-- Armour/Clothing/Weapons-- Herblore/Farming-- Smithing/Crafting-- RuneCrafting/Prayer/Magic-- Cooking-- Bank Sales/Discontinued Items/Rares/Misc.Rants-- Debate ClubBlogScape (Ongoing Progress Reports and Goals Too!)-- Rate This! 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8/10 it's the thingy again...:)

Are ducks lots of fun when diamonds fall from heaven? Yes, but only when they taste nasty, like iPods' memory, but the

0/10

granted...she tortures you, not kills you even though she would never be so mean, right? or maybe.... I wish someone corrupts this wish...

Are ducks lots of fun when diamonds fall from heaven? Yes, but only when they taste nasty, like iPods' memory

granted, but it's half raw.... undercooked and overcooked...where have I heard that before... I wish for a wish...

Banned because I'm not...Andromedoids don't need to breathe to live noob...

I do... I hate you because you thinking(or knowing) that silver wits loves me is no good reason to hate me...

never! merchanting.....No really... ok..ranging...

forget what I said in the "this is why I hate you" thread...I love you because that's the point of this thread...

I hate you because you hate me...

let's make this big... Pro: my yews sell for more... Con: need I say more... People not quoting me to see that I wrote something... *cough silver wits cough*

>.

yea...me.....I have it...

you get a fist in your face inserts small font

no, the bull eats popcorn and then the elephant climbs into the refrigerator with the giraffe...

0/3812649875234 never mind remembering a name...never even seen it..

I send my fish to kill your dog and then I take the cheese...then my fish swims into the ocean....have fun finding it...

banned for being on this forum without my permission!

firetruck isn't working...it has a leak... EDIT:neither is the link.....

granted, but the mods delete you afterwards... I wish that silver wits didn't have to kill me >.>

whatever that is... TPUM plays on the forum games a lot..............

1/10...sorry, do I post here too much :)

none taken...and I'm not dying, I'm taking the gp from you as you don't notice...too late, I got it...