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Can you show how to show G(4,4) exists, but G(4,3) does not? G(4,3) does exist, I think....1 + 4 + 4*3/3 or GROUP 1 is 1 person, GROUP 2 is 4 people, GROUP 3 is additional 4 people... If I'm doing something wrong, please correct...

Can people post solutions for questions without using LaTeX? Those of us with phones cannot see anything, and it's frustrating... Anyways, a non-algebraic counting method is as follows: This method shows the existence of a solution and (with no re-labelling) the construction shows the...

I think it is 100 also. I didn't use a graph/node method, I just counted, setting people up in groups and then reasoning for the need for new people, etc. but there is no way I am typing all of that up. suffice to say that Total = 1 + 22+ 21*22/6 = 100. I'm not sure though, and there must be a...

Hahaha...I would have thought something like this was from "Alice in Wonderland"... I can see the hookah-smoking caterpillar asking this question to Alice. Alice: "But what is the question?" Caterpillar: "That is the question." Alice: "I'm afraid I don't understand. What is the question?"...

Assuming the correct answer is one of the three possible answer (25%, 50%, 60%)....which are all equally probable at being the correct answer: If you choose an answer at random, you have prob. of 2/4 = 0.5 of choosing 25%, 1/4 of choosing 50%, 1/4 of choosing 60%. So the probability of...

Are you asking to prove this identity? If so, I think there may be a typo....the infinite series you have written down on the left hand side of that identity sums to 1/16...not 1/4 (you can check with MATLAB). The partial fraction sum you have written down sums to 4 times the fraction that...

Assuming you don't can break as many eggs as you want, you need to make a minimum of ceil(log_2_100) = 7 drops. But because you can only break 2...then you can get an exact floor height only for some cases.... For example, if the max height is 99...you break the egg dropped from the 50th...

I think you are supposing that the crows are landing one at a time on the wire. Even so, if a new crow lands between 2 old crows, it will choose the nearer old crow to crow at, and the other old crow will not be crowed at. The new crow need not necessarily land at the ends of the wire..... This...

Your solution seems to add to eight races---I do believe you can do it in seven. Assuming, of course, that you have no stopwatch to measure times and so you can only qualitatively see who is 1st, 2nd, 3rd, etc. in a five-horse race. Also assume no ties. (i) Organize into groups of five and...

yeah, you're right--it can also be followed by a question mark, exclamation point, etc etc. i should have said sentences written in present perfect (as in this case) are followed by a period--except simple sentences in present perfect but connatating commands, subjunctives, sarcsm, poetic...

Actually, I'd bet this is not from an actual SAT, but rather from an "SAT practice" book published outside the US. As others have told you, the answer is most probably A. I think they are just testing your knowledge of rudimentary grammar, and I don't believe the actual SAT tests grammar. "It...

yeah...but it didn't reach its dizzying height of glory until after the Revolution... you know better than me Cuba has such a great dance heritage of its own...why they sponsored ballet....

Over beers. :) Or Cuban ron if you have it :) edit: and don't forget the great social institution of the Cuban ballet! To celebrate the artistic beauty and high culture and good taste of the Revolution with the full blessing of Mother Soviet Union! The Cuban ballet even toured in Canada this...

For the most cited example, look up "Castrocare", especially the early development of Cuba's healthcare industry in the 1960s, in the decade following the Communist Revolution. (Not the sorry state to which it has sunk in the 21st century, 60 years after the Revolution and 20 years after the...

Allow me to explain exactly what I mean. Look up Misisones Bolivariones. http://es.wikipedia.org/wiki/Misiones_bolivarianas These were the much-celebrated programs to build up social infrastructure in Venezuela. The whole thing has turned into one big scam, one massive embezzlement scheme...

He claims to follow the Cuban model, but it is all pretense. Cuba built a lot of social infrastructure, schools, medical facilities, etc in the 60s, albeit with Soviet help. Chavez has done nothing to build any institution. His brand of Castroism is all rhetoric and he knows it. Only things he...

No no, he knows what he's doing. He can't have so much in gold reserves in the West in case Venezuelans go bezerk and turn on him Libya-style...then it'll all get frozen Gaddafi assets-style...then what? If Venezuela does go Libya, I hope the King of Spain gives an impassioned UN speech urging...

Has anyone here used an iron condor? Or experience knowing how it works?

I was trying to be facetious when saying what you described sounded like a poker game.... if it really is a lot like a poker game (at least the psychological side of it), that frightens me quite a bit actually....

I stand corrected about MIT...I was misinformed there :) This sounds more like a high-stakes poker game, with your ego on the line in front of friends....but to be honest, I haven't worked as a trader, so I wouldn't know....

no ad hominem attack was intended. apologies if anything was inferable...it was not intended. i'm just saying that you cannot generalize about student age distributions in programs generally based on Baruch's rather skewed age distribution, both in other NYC programs like Columbia...as well as...

By "NYC", did you mean anything besides Baruch? Do you know the profiles of students at Columbia's program? Or Princeton's program, or MIT's program for that matter?

This would appear to contradict the fact that a large fraction of MFE students are in their 30s....no, not posters in their sophomore year dreaming up get-rich-quick-now schemes....but committed, enrolled students.

This thread was getting depressing, thank God for your reassurance that they do exist! Call them rabbis, vicars, priests, imams, who cares :) As for stabbing in the back, to be fair--that's part of human nature with some people, and you find it everywhere regardless of industry, nationality...

I don't want to take this too much off topic from the OP's premise--but I am wondering about this too. I have noticed 2 things very prevalent in financial jobs--very very young people in, to put it bluntly, positions of authority, and a real culture of unnecessary rudeness, bullying, putting...

First of all, mcgruber, I didn't say this forum has "a huge anti-Columbia sentiment". To be fair, mcgruber--neither you, nor I, knows who everyone here is, and where they are students...so it may be irrational to surmise further. For example, how do you know I am not a Columbia student? Maybe if...

http://www.markjoshi.com/downloads/advice.pdf I would have thought that an MFE would be useful for several front office roles (as defined by Joshi), including Research quant roles.

Thank you Devdeep...I didn't know about that. I retract my claim earlier....CMU also posts salaries :)

Paul Mithouard, I am sorry for my post...it was uncalled for. Despite the appearances that this forum (Quantnet) is generally pro-Baruch and anti-Columbia...I am not cheering for one camp or the other. I am not associated with Quantnet either. My question was directed at DominicConnor, in light...

If you'd care to read the rest of the thread, you will see an emerging theme that raw placement numbers can mean nothing, and can be misleading. Dominic made the observation that salary may be a more accurate proxy to the nature of the job placement. I asked him to comment on Baruch's placement...

Very nice to have your perspective! Baruch's MFE clearly posts internship and employment statistics, including pay--which you mention as possibly a good proxy for the true nature of the job, over for example job titles and company names. Internship stats are here...

Excuse me Andy and co., but allow me to provide the musical accompaniment to this thread... http://www.youtube.com/watch?v=OsNr5mCeWYA You are a humble late 20s-year old....humble background, average intelligence, you worked hard in life so far, and you have achieved enough to have even your...

Sorry to interrupt...but that thing is not an equation, it's an expression...don't neglect the GRE verbal now ;)

i just find it weird that if we consider the case of a very long game, and randomly picking integers (instead of from a A234...10 deck), then the first game has an unbounded expected value since the harmonic series diverges, and the second game converges to that weird e-thing. i guess it's just...

How would the solution of this question change if the game ended when a winning card was not drawn? i.e. what is the expected winnings of pulling series of increasing cards of any length from 1 to 10?

sorry, not linear.

Actually, this ODE is a (linear discrete) delay differential equation: http://en.wikipedia.org/wiki/Delay_differential_equation and I presume it can be solved in terms of Lambert W functions (if I can only understand what they are) For our practical purposes though, we only need to evaluate...

If you're going to bet, bet properly! Besides...I am very seriously worried about Leroy. He won't be the first dissident to have "disappeared".... We should have a vigil for him next Tuesday on the 2-week anniversary of his disappearance? We can't let him "disappear" with his revealing review...

Andy, I saw the review, dated 05/05/2011. Do you know if the reviewer is a 2011 graduate of the program? Or an alum from a previous year? Also Please explain further.

I haven't seen this ODE approach before, but it is very cute! I first saw this problem exactly 1 year ago, and it defeated me. The answer is e But I am having trouble solving it using the ODE approach. I got this far: We condition the expected value of the sum on the first value obtained...

You're on! Can you paypal Andy the money, and he can pass it on to me?

Leroy_Williams, where have you gone? You cannot just leave, when so many of us have your attention. You must be clearer. You must tell us more. Please Leroy. The Greeks had a tale for this. They called him Laocoön, the Trojan Priest, who saw what was really going on. He saw the Wooden Horse...

I am very very confused now. The gospel on their website spake thus: "It is expected that no more than 55 full-time students and 20 part-time students will be admitted in the incoming Fall 2010 class." Columbia University - MA in Mathematics of Finance And what of the all-so-hallowed...

Columbia MAFN: billing Has anyone who accepted a Columbia MAFN offer received any financial or billing information? In other words, has anyone paid anything yet? When can admitted students expect to receive billing / payment instructions?

The conclusion reached (in my understanding) was this: A PhD is a classical degree. It was intended to train future faculty members, who could teach--this is still a requirement to get a PhD in some countries. Over the past few decades, people in industry have come to realize that there more...

Hi Joy Pathak, I am living in Toronto right now, and I attended this event yesterday. John Hull chaired a ~1.5 hour session with Davoudy, Avellaneda, Peter, and Chuang Yi. Marco had a Blackberry message within the first 15 minutes of the panel discussion, and got up and left the room for...

Hi, can someone in the know tell me--this year, is NYU sending admits by e-mail and rejects by regular mail (snailmail)? Does anyone know if all decisions have been made? thanks

what is GD? what is GD? ...................

Columbia's MAFN, like Columbia's IEOR and unlike NYU's program, has no mandatory internship between the 2nd and 3rd semesters, if I undertstand correctly. Does this mean most students find jobs to enter directly into in May, when the MAFN program is over? Can a current student in the Columbia...