Strategy Definition and 122 Threads

In many of my physics classes we have been using Taylor Expansions, and sometimes I get a bit confused. For example, I feel like different things are going on when one expands (1-x)^-2 vs. e^(-Ax^2), where I just have some constant in front of x^2 to help make my point. To keep things simple...

Hi everyone, I realize this is only loosely related to mathematics, but I didn't know where else to ask this question (if I post it in a finance forum I'll get 100 different answers from people who probably didn't really understand the question). I think mathematicians are the kind of people...

"ExtrapolatingOscillatory" integration strategy in Mathematica A question I can't work out from the "advanced numerical integration" documentation for Mathematica. In http://reference.wolfram.com/mathematica/tutorial/NIntegrateIntegrationStrategies.html it claims that Mathematica recognises...

You play against three automated players who’s dice and actions are independent from you. You start with six randomly rolled dice. Rules: -You MUST keep at least one die, but can keep as many as desired. -A (1) and (4) are qualifiers, without both qualifiers you cannot score. These do not...

This problem is not schoolwork, it is from "The Mathematics of Poker". I have three equations based off a 3x3 Rock, Paper, Scissors payout table where winning with scissors is given a +2 payout instead of +1. Homework Statement Find the solution to the system of equations Homework...

When you study math what % of the material do you try to understand before moving on? I suppose there are big differences between mathematicians and physicists. I would imagine that if you're a mm then you would probably want to understand more than 95% before moving onto the next chapter. As...

I hope this is the right forum to put this in. This is a strategy I am trying to fine tune for a book I am writing about the card game Pinochle. Here are the rules: Two player game - First player to 40 points wins. Game starts 0 points to 0 points. Players alternate turns. One...

Homework Statement There are three patchs in which an animal can forage. Patch 1: Risk of predation is 0. Probability of finding food is 0. Energy value is 0. Patch 2: Risk of predation is 0.004. Probability of finding food is 0.4 and energy gain is 3. patch 3: risk of predation is 0.02...

Hey guys, I'm in my university's analysis course right now and it is the final course I need before graduation. The problem is I don't have a ton of experience with writing proofs. I'm surviving so far but am relying too heavily on online workthroughs to the problems. We're using Analysis...

the 10 X 20 lattice game has the following rules: - two players alternate picking points (x,y) in the plane. the points must have integer coordinates(lattice points) and we must have 1 ≤ x ≤ 10 1 ≤ y ≤ 20 - first player must begin from (1,1). that is, player 1 can choose any point with one...

Homework Statement Consider the game of `double move tic-tac-toe' played by the usual rules of tic- tac-toe, except that each player makes two marks in succession before relinquishing his turn to the other player (you may know tic-tac-toe by the name `noughts and crosses'). Prove that there...

I'm halfway through the Selfish Gene, and was intrigued by his talk of strategies. Are there any good books that talk about this development in human behavior?

I'm having some trouble figuring out several different things. 1) How big an army can I make based on the amount of gold I have. 2) How much of each resource will I need to purchase to create said army. 3) How much of 1 resource would I need to buy given how much of the other I already have to...

I would highly recommend this to your attention. It can save you hours of frustration in solving problems. Note, however, that not every part necessarily applies to every problem. https://www.physicsforums.com/attachments/8688._xfImport As per the discussion below, it is incumbent upon me to...

I would highly recommend this to your attention. It can save you hours of frustration in solving problems. Note, however, that not every part necessarily applies to every problem. As per the discussion below, it is incumbent upon me to cite sources. This pdf was one I created from a...

Hi everyone. I would like to get some advice I guess in learning strategies for math. Here is my scenario.. I find that in the math classes I've taken so far in university (currently on my second intro calc semester) my typical math learning pattern goes like this...fall behind, do not...

This is a game with N players where each player secretly picks a number from 0 to 100. The winner is the player who picks the lowest unrepeated number. Which number would you pick? What would be your strategy?

What is the strategy to master computer science. My class is Fortran 90 based :D. I never really took a computer science class before and I'm sure its a bit different than preparing for mathematics.

I think that I have figured out a way to beat the game of roulette with simple probability and a very useful equality... The bet is either red, black, odd, even, low, or high. Each of these bets have a probability of 18/38 and the payout is double the bet. The strategy is to increase...

I've been contemplating a new 401k strategy since I pulled out a couple weeks ago. As I write this the DOW is down to just below 11000 again. Trying to call a bottom is dangerous but I find it hard to believe it's going down much lower than that. Luckily I sold out when it was around 12000 and...

Ok so on the roulette table the odds against winning on red or black are 1.111 to 1. This is about a 47% chance to win. Payout is 1 to 1. Say minimum bet is 1$ and bets are allowed in multiples of 1$. up to some limit. Suppose I want to win 1$ for every spin I play. I bet 1$, and I...

What is the general strategy in solving vector equations involving grad and the scalar product? In particular, I want to express \Lambda in terms from \mathbf U \cdot \nabla\Lambda = \Phi but it looks impossible, unless there is some vector identity I can use. Thanks in advance.

I think I did this right... \sum_{i=1}^{\infty} \frac{n}{e^{n^2}} I tried it with the root test to no avail. So I then tried it with the Ratio Test and I come to this expression... \lim_{n \to \infty} \frac{(n+1)}{e^{2n} e(n)} ...which is an indeterminate form (infinity over infinity)...

Homework Statement Two players A and B place in alternated way pens on the quadratic table. http://img37.imageshack.us/img37/3051/grazn.jpg (my table is not quite quadratic as it should be) The only condition is that the pens cannot come into a contact with one another. The player who can...

White House press Secretary Robert Gibbs is stepping down. http://www.washingtontimes.com/news/2011/jan/5/obama-lose-spokesman-gibbs-steps-down/ Does this signal the start of campaign 2012? Gibbs has been with the President since 2004...

You guys remember that old game show "Deal or No Deal"? You know, the one where a contestant goes for a $1,000,000 prize? Well, just for the reference, here's a little strategy I put together in case you ever find yourself playing "Deal or No Deal" with your friends: 1) For simplicity, we...

Hi All, I was wondering if anyone could give me a suggestion to solve this "With one die, suppose in a round, you earn the amount of dollars equal to the value of the upwards face of the die. (eg. you earn $6 if you roll a six.) Now also suppose after your first roll, you are given the...

Any poker player on this site? I like to play Poker and Blackjack during my spare time and I'm a big fan of Game theory. I used to think that keeping a "poker face" in a game of poker is a very important part of game strategy. "Poker face" is not just about the face but about your...

Dear all, I have a torque equation in polynomial form, that consists of RPM, LOAD and AFR from experiment data. I neeed to design a control strategy for my torque management control scheme. The example equation is as follows; torque = Load^3+ RPM^3+ AFR^3+ A*RPM*LOAD*AFR+ B*RPM*AFR +...

I was not sure where to post this. It didn't seem to fit in the homework/self-study category, and I believe it is thought-provoking enough to warrant posting in the general forums. I am sorry if I am wrong. In game theory, 2-person non-zero-sum games with 2n strategies can be graphically...

Hi, just had a discussion with a friend about this. Just some details, eBay auctions are some sort of "half-blind" auctions, where the highest bidder wins, but you do not enter your actual bid. The sale price is equal to the maximum the SECOND highest bidder bids, plus a little extra. You do...

I'm doing a HW problem that involved trying to find Fourier series. I know how to do it, but I'm really bothered by the fact that I have to do so much trigonometric integration by parts. my question is, is there any better way to solve the problem: <int,indef.,dt>{ sin(a*t)*cos(b*t) } or is...

http://arxiv1.library.cornell.edu/PS_cache/math/pdf/0102/0102031v10.pdf and http://arxiv1.library.cornell.edu/PS_cache/math/pdf/0102/0102031v1.pdf what do you think ? Author defines 2 operators D_{+} and D_{-} so they satisfy the properties D_{+} = D^{*}_{-} D_{-} = D^{*}_{+}...

Homework Statement I don't have a specific problem. I have an exam coming up. Our class was all about Mechanics. So I want to have a strategy to solve problems, that I can follow. Can someone help me? Topics include: Kinematic Problems (Motion in 1-3 Dimensions) Forces Conservation...

Hi, I'm interested in this question primarily in how it relates to what is usually called classic or frequentist statistics (p-values, etc). I'm fully aware of how stepwise and other automated techniques can negatively impact analyses and render inference based upon parameter estimates...

How do you guys handle your studying, do you study every subject everyday? Alternate Subjects on different days? Get all your work done for one subject one day a week? What do you think works best?

Homework Statement I(secx*cos2x/(sinx+secx),x) I(cos2x/(sinxcosx+1),x) I(cos2x/(sin2x/2+1),x) u=sin2x du/2=cos2xdx 1/2 I( 1/ (u/2+1) , x) I( 1/ (u+2) , x) ln|u+2|+C=ln|sin2x+2|+C also I((x^2-bx)sin2x,x) I(x^2sin2x,x)-bI(xsin2x,x) I(x^2sin2x,x): u=x^2 du= 2xdx dv=sin2x...

What do you think is the best statergy for destroying a 6 km wide asteroid which is heading towards the earth. Do you think it is possible to develop "clean fusion Nucs" which can be deployed from spacesations to intercept such a large asteroid also if a fusion bomb were to fall appart in...

In general, say: we have a surface: y^2/4 - x^2/3 - z^2 = 1 I know that this is a hyperboloid of 2 sheets, since the xz trace: x^2/3 + z^2 =-1 doesn't exist, But for the other traces: xy trace: y^2/4 - x^2/3 = 1 and yz trace: y^2/4 - z^2 = 1 Which are both hyperbolas - how do...

What is a strategy to integrate arctan (sqrt(x))? What about arcsin (sqrt(x))?

Lately I had been fascinated by the Obama election campaign. I am not talking about the fact that they had built up a sizable lead, but rather how they made it happened. The Obama campaign strategists are extremely good at setting the tone for the media and manipulate public perception, where...

Homework Statement \int\frac{\frac{1}{3}x+\frac{2}{3}}{x^{2}-x+1}Homework Equations This is the result of a partial fraction integration. I don't think a direct u-substitution will work or an integration by parts. The Attempt at a Solution I don't know which I should use! We learned so many...

[b]1. Prove or disprove that if a and b are rational numbers, then a^b is also rational?? PLEASE HELP...

here is an example for a typical question: there are three kings jan,luk,pikard each one of them has one crown a large or medium or small and each crown is one of gold,silver,copper the copper crown located closely to the right of a small crown. the golden crown is the large one and its...

I'm starting grad school in physics at UIUC this fall and I'm really agonizing over course selection. In particular I'm not sure whether to take Quantum Mechanics or Quantum Field Theory. I want to do Condensed Matter Theory, and learning QFT would probably make it easier to find someone to...

This is probably a stupid question, but I couldn't find it through searching on google. I understand that there is no single optimal strategy in poker, and the only way to maximize your expected value is to try to exploit patterns in your opponents play, but why are pot-odds not enough to be...

I was talking to a friend today who used to work at UPS. He told me the drivers have routes mapped out that exclude all left turns because you have to wait behind a light for them, whereas you can just go on a right turn. It saves UPS time, and money in fuel! Thats damn clever...

I am trying to find the maclaurin series for f(x) = (1 + x)^(-3) --> what is the best way of doing this--to make a table and look for a trend in f^(n)?

I saw an older topic for this, but the moves they posted on the topic didn't work on the version I play. Can anybody figure out how to beat this one. It says play chess against J-chess below the Five Steps to Victory. http://www.princeton.edu/~jedwards/cif/intro.html

I can't solve for y from: x = - K_{1}* y *\sqrt{K_{2}-y} where K(1) and K(2) are constants. I am pretty sure as a younger man I was taught how to do this but I can't remember the strategies I can/should use. Any thougths would be very appreciated.