adm-in wrote:
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 I'm having a hard time proving this using induction. I've gotten as far as to find the triangle below. Let d1, d2, ..., dn, with n at least 2, be positive integers. Use mathematical induction to why, if d1+ d2+ ...+dn = 2n-2, then there must be a tree with n vertices whose degrees are exactly d1, d2, ..., dn. (Note that if you begin with the numbers d1, d2, ..., dn, then you can find such a tree.) Consider the triangle: 1 1 1 1 1 2 3 2 1 1 3 6 7 6 3 1 1 4 10 16 19 16 10 4 1 etc. ...

 does dark like risa or riku more? what volume will dn angel finish for the manga? should the anime keep going? wheres a website where i can dl dn angel manga from chapter 31 onwards? ...

 Let d1, d2, ..., dn, with n at least 2, be positive integers. Use mathematical induction to explain why, if d1+ d2+ ...+dn = 2n-2, then there must be a tree with n vertices whose degrees are exactly d1, d2, ..., dn. (Be careful with reading this statement. It is not the same as saying that any tree with vertex degrees d1, d2, ..., dn must satisfy d1+ d2+ ...+dn = 2n-2, although this is also true. Rather, it says that if you begin with the numbers d1, d2, ..., dn, then you can find such a tree.) Base Case: n = 2 Induction Hypothesis: Assume that the claim is true for some k d1 + d2 + ... + dk = 2k-2 Induction Step: To prove that the claim is true from k + 1. d1, d2, ... , dk, d(k+1) = 2(k+1)-2 I'm having trouble working out the math to show that when a tree has degrees d1, d2, ... , dk, d(k+1) that I have all that summed to equal 2(k+1)-2. **Conclusion I'm trying to prove is that there is a tree with n vertices whose degrees are d1, d2, etc.... ...

 I've just watched through DN Angel and now I'm emo cause I've got nothing to watch, and i find that way of anime to be great, first anime to actually make me laugh a little.. what other series are like it? =o ...

 I want to read dn angel's full manga version, where can I find one without downloading?? I want to read it online, do you know any website? ...

 I am now obsessed with this anime DN Angel...first off Dark is super hot (yeah yeah...I know...he's not real. He's a cartoon...but still) Secondly, where the hell do I find more episodes? I currently watch it on the Anime Network through Comcast On Demand...but they only show one or two eps a time and don't change to new ones for like three or four weeks. And I can't find any good websites for the show... ...

 Given the sequence [d?/dx? b^x], where b is a real number, find the limit of the sequence as n approaches infinity. ^_^ ...

 i cant find it on yahoo and on google. i found one but it was cover with a picture of daisuke. im a big fan of dn angel and i want the artist picture. i seen all the dn angel episode and got the manga's ...

 Where can I find a site that has all of the dn angel episodes in english? ...

 Is DN angel volume 12 out yet?------------ if yes..where can i download it---------- if no, when will it be out--------- ...

 so how many chapters does DN Manga have? ive read up to 39 but it kinda ends abruptly... is that the end of vol 11? or 10? or in the middle? thank you. ...

 where can u dl free dn angel manga? especially volume 9!! ...

 where can i find dn angel manga that i can download for free?i tried realitylapse and stoptazm(they both are excellent) and isohunt(that one is bad)wut is the end chapter anyways? stoptazmo.com** oh and which characters do u hate or like from dn angel or naruto or both.mine are riku,dark,daisuke(he is cute),wiz(with),and the grandpa and mother.for naruto i like naruto,shikamaru,kakashi,gaara,temari and konkorou.i really don't like risa(such a snob!).oh and read the manga it so much better than anime but not all times. oh and which characters do u hate or like from dn angel or naruto or both.mine are riku,dark,daisuke(he is cute),wiz(with),and the grandpa and mother.for naruto i like naruto,shikamaru,kakashi,gaara,temari and konkorou(he looks so cute without his hat and makeup).i really don't like risa(such a snob!).oh and read the manga it so much better than anime but not all times. and oh ya i have no clue how to use tokyopop it is very confusing ...

 Where can I download the DN angel episodes and no limewire and no youtube because i already tried limewire and there are no eps and youtube it's up to ep 15 so i already finished up to there and i want to keep seeing the seiries (i know it's spelled wrong) cause its AWESOME!!!!!!!!!! ...

 DN angel. Love. Romance. Rika, the grandma. ...

 i've watched dn angel and fruits baskets online but all they show is season 1 so i was just wondering if there was a season2 so i can start watching it. thank you! ...

 i recently changed my e-mail address from babyboybabyboyalex@yahoo.com to dn_arkin@yahoo.com and i'm not aqble to get at my mail. i'm tryingt to eliminate allof the garbage mail that i was getting. do i have to do anything except logon to my new e-mqail adedress? ...

 I really really really really hate Dark's english voice after watching the anime in Jap and saw the english trailer, his voice just suked ass, well thats me. What do u think? If dont know what DN Angel is, i suggest that you dont answer. Of course the jap version is better, its not edited, but at least they could have made Dark sound his age u know, and it should at least sound a little like the jap version. ...