Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ ¹ ² ³ °
 

You are not logged in. #9351 20130321 09:54:43
Re: Linear Interpolation FP1 FormulaMaybe everyone is just bored of talking to me. And adriana is too lazy to go through the maths emails so she is putting off replying to them, probably. #9352 20130321 09:58:42
Re: Linear Interpolation FP1 FormulaIs she generally lazy? In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #9353 20130321 10:02:31
Re: Linear Interpolation FP1 FormulaI'm not sure. She washed up all our dishes after we ate at her house, but another time I saw her just drop some food under the sofa (it was a bit of sweetcorn from her pizza) and she didn't bother to pick it up. That was pretty gross. A sign of laziness, maybe? #9354 20130321 10:06:28
Re: Linear Interpolation FP1 FormulaGirls are a lot sloppier in their habits then they let on. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #9355 20130321 18:41:10
Re: Linear Interpolation FP1 FormulaShe was sloppy, in that case. But I can't think of other encounters where she was. #9356 20130321 18:49:52
Re: Linear Interpolation FP1 FormulaSometimes they have closets full of junk. I mean from the floor to the ceiling just stuffed in there. Some of them just throw there clothes around. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #9357 20130321 18:51:59
Re: Linear Interpolation FP1 FormulaI don't know about that, but she does sometimes go to school in track bottoms or sometimes even pyjamas. #9358 20130321 18:53:56
Re: Linear Interpolation FP1 FormulaPajamas? How can you tell? In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #9359 20130321 18:58:50
Re: Linear Interpolation FP1 FormulaShe told me. Although most of the time she sleeps in the trackbottoms then goes to school wearing the same ones. She said she doesn't care... #9360 20130321 19:00:42
Re: Linear Interpolation FP1 FormulaSeems like she is on the carefree side. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #9361 20130321 19:04:48#9362 20130321 19:05:42
Re: Linear Interpolation FP1 FormulaYes, the modern gal is getting stranger and stranger. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #9363 20130321 19:11:05
Re: Linear Interpolation FP1 FormulaShe was nice to talk to though, even though she is strange. Made many of my otherwise boring days interesting. #9364 20130321 19:13:29
Re: Linear Interpolation FP1 FormulaShe might come back, who knows. In the meantime forget her. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #9365 20130321 19:16:59
Re: Linear Interpolation FP1 FormulaEasier said than done, I even think about F sometimes. #9366 20130321 19:20:20
Re: Linear Interpolation FP1 FormulaI heard she was abducted by aliens and whisked away to Reticulum 4. You might as well forget about her. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #9367 20130321 19:22:04
Re: Linear Interpolation FP1 FormulaI just need to move on to another girl who interests me, although there aren't any at the moment. #9368 20130321 19:28:31
Re: Linear Interpolation FP1 FormulaThen turn off the thinking about them. Find something else to occupy your thoughts until one shows up. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #9369 20130321 19:41:19
Re: Linear Interpolation FP1 FormulaMaths reminds me of F sometimes. I can do that though. #9370 20130321 19:44:44
Re: Linear Interpolation FP1 FormulaNot really, I always have had trouble with them too. We could try them together maybe solve a few. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #9371 20130321 19:51:18
Re: Linear Interpolation FP1 FormulaIs the residue of some function f(z) always the coefficient of 1/(z  a) in its Laurent series? A lot of the time I just end up finding the residue to be zero... #9372 20130321 22:23:39
Re: Linear Interpolation FP1 FormulaHi; coefficient of the Laurent series, so I would say yes. In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #9373 20130321 22:27:17
Re: Linear Interpolation FP1 FormulaAnd is it also true that if the residue is 0 then the contour evaluates to 0? #9374 20130321 22:33:07
Re: Linear Interpolation FP1 FormulaHi; In mathematics, you don't understand things. You just get used to them. I have the result, but I do not yet know how to get it. All physicists, and a good many quite respectable mathematicians are contemptuous about proof. #9375 20130321 22:48:22
Re: Linear Interpolation FP1 FormulaOkay... We know this evaluates to π, so we could maybe try using a contour to try and get the answer too. Considering instead where C is a simple closed curve  a semicircle in the upper half of the complex plane, from negative infinity to positive infinity, so it encloses the entire real integral, including one of the poles (z = i). However, I asked Wolfram for the series expansion of 1/(1 + z^2), and it's giving me a series expansion at z = i, and another at z = i. Since my contour encloses the pole at z = i, I'm interested in the residue of that series. But I don't know how they found that Laurent series... can you tell me how they found that series expansion that includes the negative power of (z  i)? 