Advertisement
JoelSjogren

Untitled

May 13th, 2016
230
0
Never
Not a member of Pastebin yet? Sign Up, it unlocks many cool features!
text 31.12 KB | None | 0 0
  1. 12:16 AM <laurus> joel135, my problem is, I don't see how a "proof by contradiction" is a proof of anything.
  2. 12:16 AM <opraaaa> I need to find out what values of x have a slope of 0
  3. 12:16 AM <Svitkona> values don't have slopes
  4. 12:16 AM <opraaaa> So when I plug in x, it will give me 0
  5. 12:16 AM <Svitkona> that's what i'm saying
  6. 12:17 AM <laurus> joel135, for example, in the third line, we get 0. So what? That tells us that q is 0.
  7. 12:17 AM ⇐ Trekka12 quit (~Trekka12@2-249-48-154-no2300.tbcn.telia.com) Ping timeout: 240 seconds
  8. 12:17 AM <minn> laurus: That isn't abnormal, because proofs by contradiction aren't constructive. You must trust the truth table until you've trained yourself to think in terms of classical logic!
  9. 12:17 AM <Svitkona> you can think of the derivative as the value of the slope at some point
  10. 12:17 AM <opraaaa> Svitkona, let me screenshot the question
  11. 12:17 AM <laurus> minn, what do you mean exactly?
  12. 12:17 AM <Svitkona> so you are trying to see when the derivative (ie. the slope) is 0
  13. 12:17 AM <Svitkona> which is exactly what i said
  14. 12:17 AM <opraaa__> https://usercontent.irccloud-cdn.com/file/LqYvRcYm/1462486660.JPG
  15.  
  16. 1462486660.JPG164.04KB • image/jpeg
  17. 12:17 AM <opraaaa> #9
  18. 12:17 AM <laurus> minn, I understand how the two statements are logically equivalent.
  19. 12:17 AM <laurus> minn, but I don't see how that tells you anything, or helps at all.
  20. 12:18 AM <laurus> It just seems pointless.
  21. 12:18 AM <Svitkona> that still doesn't change what i'm saying
  22. 12:18 AM <opraaaa> Svitkona, okay so the first thing I do is get the derivative
  23. 12:18 AM <opraaaa> Then simplify
  24. 12:18 AM <opraaaa> I have now simplified
  25. 12:18 AM <opraaaa> Now what
  26. 12:18 AM <laurus> And when I try to focus in on the rows where the premises are true in order to "establish the validity of the argument" I get nowhere.
  27. 12:18 AM <Svitkona> you need to find the values of x that will make the derivative 0
  28. 12:18 AM <opraaaa> Right how do I do that
  29. 12:18 AM <Svitkona> you set it to 0 and solve
  30. 12:18 AM → octothorpopus joined (~octothorp@caraway.whatbox.ca)
  31. 12:19 AM <opraaaa> Right so I set it to 0
  32. 12:19 AM <opraaaa> Now what
  33. 12:19 AM → zackscary joined ⇐ octothorpopus quit
  34. 12:19 AM <Svitkona> did you read what i said above about fractions?
  35. 12:19 AM <opraaaa> 0 = (2x(x-8))/(x-4)^2
  36. 12:19 AM <opraaaa> I don't understand it
  37. 12:19 AM <Svitkona> ok let me say it again
  38. 12:19 AM <joel135> laurus: One problem in practice is that proofs by contradiction are weak unless you know how to tell whether the things you are talking about are true or false. This kind of logic operates on values 0 and 1. To use it in practice (outside this word of logic) you need a way to convert your statements to 0 and 1. Proofs by contradiction do not provide a method
  39. 12:19 AM <joel135> for performing such conversions.
  40. 12:19 AM <Svitkona> and tell me which part of it you are having trouble with
  41. 12:19 AM <Polymorphism> I passed math!
  42. 12:19 AM <opraaaa> Alright
  43. 12:19 AM <Svitkona> if you have a fraction, the whole fraction will be 0 if: the numerator is 0 (and the denominator is not 0 at the same time)
  44. 12:19 AM <Polymorphism> can someone please link me the best explanation of the calculus for a beginner
  45. 12:20 AM <opraaaa> Svitkona, right
  46. 12:20 AM <minn> laurus: In classical logic, p v ~p holds for every proposition p. If p is false, then p holds by disjunctive syllogism. If p is true, then --p <-> p holds by disjunctive syllogism.
  47. 12:20 AM <opraaaa> Which is why we do things like rationalizing and stuff
  48. 12:20 AM <laurus> minn, right.
  49. 12:20 AM ⇐ TheBiebs quit (~dagenius@c-50-156-58-0.hsd1.ca.comcast.net)
  50. 12:20 AM <Svitkona> i don't see what rationalising has to do with it but whatever
  51. 12:20 AM <opraaaa> Sorry was just making a connection
  52. 12:20 AM <minn> laurus: The truth table is just a proof procedure that verifies that informal argument.
  53. 12:20 AM <Svitkona> opraaaa, so what's the numerator in your fraction?
  54. 12:20 AM <opraaaa> 2x(x-8)
  55. 12:20 AM <Svitkona> and what's the denominator?
  56. 12:21 AM <opraaaa> (x-4)^2
  57. 12:21 AM <Svitkona> can you solve 2x(x - 8) = 0?
  58. 12:21 AM <opraaaa> err
  59. 12:21 AM <opraaaa> x=0,8
  60. 12:21 AM <Svitkona> how did you get those answers?
  61. 12:21 AM <opraaaa> I divided 0 by 2x
  62. 12:21 AM <opraaaa> Then added 8
  63. 12:21 AM <opraaaa> OR
  64. 12:22 AM <laurus> joel135, well I do see that
  65. 12:22 AM <opraaaa> I divided 0 by x-8
  66. 12:22 AM <opraaaa> And then divided it by 2
  67. 12:22 AM <laurus> joel135, I still don't get how to use it even when we *do* know the values.
  68.  
  69. [...]
  70.  
  71. 12:30 AM <laurus> joel135, minn: Forget about "establish the validity of the argument;" that method doesn't work here.
  72. 12:31 AM <laurus> Instead, look at rows 1, 2, and 4, i.e. when the statement is true.
  73. 12:31 AM → chachasmooth joined (~chachasmo@unaffiliated/chachasmooth)
  74. 12:31 AM <laurus> Notice that the only time a statement with a false conclusion is true is when one or more of the premises is false.
  75. 12:31 AM <laurus> Now if we assume that p is absolutely true (since we chose it correctly), the only possibility is that "not q" is false. Therefore q is true.
  76. 12:32 AM <eliasf> opraaaa, what is it that you dont understand?
  77. 12:32 AM ⇐ zwisch__ quit (~zwisch@75-119-245-40.dsl.teksavvy.com) Quit: Leaving
  78. 12:32 AM <joel135> Sounds good.
  79. 12:32 AM <opraaaa> How do I solve for x
  80. 12:32 AM <laurus> joel135, minn: But, there's a big caveat to this. It only works if you are 100% sure you have landed on rows 1, 2, or 4 in the first place.
  81. 12:32 AM <monoprotic> opraaaa your last linei s factored wrong
  82. 12:32 AM <laurus> So it doesn't work like the normal "establish the validity of the argument" stuff.
  83. 12:33 AM <opraaaa> monoprotic, yeah I noticed that
  84. 12:33 AM <opraaaa> I fixed it now
  85. 12:33 AM <opraaaa> But what do I do next
  86. 12:33 AM <laurus> Therefore I conclude that this is a weak and error-prone way of doing things.
  87. 12:33 AM <monoprotic> opraaaa other than that, you're almost there. you can ignore the denominator when solving for 0
  88. 12:33 AM <monoprotic> opraaaa so solve 2x(x-8) = 0
  89. 12:33 AM <opraaaa> Just multiply it out right?
  90. 12:33 AM <Svitkona> only when the denominator is not 0.
  91. 12:33 AM <monoprotic> yes yes
  92. 12:33 AM <opraaaa> GOD SVIT PLS
  93. 12:33 AM <opraaaa> PLS
  94. 12:33 AM <monoprotic> s/hes right
  95. 12:33 AM <opraaaa> I DONT GET IT
  96. 12:33 AM <eliasf> 0/0 is undefined
  97. 12:33 AM <opraaaa> Of course!
  98. 12:33 AM → tnecniv joined (~textual@unaffiliated/jimihendrix)
  99. 12:33 AM <opraaaa> Then it's an unsolvable equation
  100. 12:33 AM <opraaaa> And x=0 doesn't exist
  101. 12:34 AM <laurus> It only works when you are 100% sure of every single premise except that one premise, *and* when you are 100% sure you have arrived at "false."
  102. 12:34 AM <joel135> laurus: Would you like to hear my way of doing things?
  103. 12:34 AM <eliasf> so you have to check that the denominator is not 0
  104. 12:34 AM <laurus> joel135, yes, please! :)
  105. 12:34 AM <eliasf> to make sure that its defined
  106. 12:34 AM ⇐ scinawa quit (~wtfisthis@host49-236-dynamic.24-79-r.retail.telecomitalia.it) Quit: Leaving
  107. 12:34 AM <monoprotic> opraaaa but here there is no x such that you get 0/0
  108. 12:34 AM <opraaaa> How would I do that
  109. 12:34 AM <joel135> Forget all you know.
  110. 12:34 AM <opraaaa> How could I make sure it doesn't equal 0
  111. 12:34 AM <eliasf> just substitute x
  112. 12:34 AM <eliasf> with a value
  113. 12:34 AM <eliasf> and check that its not 0
  114. 12:34 AM <joel135> Including the words "or", "contradiction", "induction", "equals".
  115. 12:34 AM <opraaaa> Any value?
  116. 12:35 AM <opraaaa> Like x=4 would make it 0
  117. 12:35 AM <eliasf> yes
  118. 12:35 AM <opraaaa> So there is an asimptote at 4?
  119. 12:35 AM <joel135> There is one fundamental way of representing statements: by stringing them together in a list. Stating a list is stating that everything in the list is true.
  120. 12:36 AM <opraaaa> Is that right?
  121. 12:36 AM <laurus> joel135, okay.
  122. 12:36 AM <eliasf> i dont know
  123. 12:36 AM <joel135> By the way, the word "not" must also be forgotten.
  124. 12:36 AM ⇐ emPi quit (~emPi@unaffiliated/empi) Ping timeout: 244 seconds
  125. 12:36 AM <laurus> Ok.
  126. 12:36 AM ↔ josefig nipped out
  127. 12:37 AM <eliasf> you just find the values for which 2x(x-8) is 0, and make sure that the denominator is not 0 for those values
  128. 12:37 AM <joel135> The next most important thing is the implication. To say a => b means that if we fantasize about a then we will discover b.
  129. 12:38 AM <laurus> joel135, okay.
  130. 12:38 AM → The_Nut, Kol and dj_pi joined ⇐ King_Hual, ystael and illustion quit ↔ Stringer nipped out
  131. 12:39 AM <joel135> At this stage, let's consider an example. There are no axioms. We want to prove that always (a => b), (b => c) => (a => c).
  132. 12:39 AM <eliasf> does that make sense opraaaa ?
  133. 12:39 AM <laurus> joel135, okay.
  134. 12:39 AM <opraaaa> Yeah :)
  135. 12:39 AM <opraaaa> Thanks!
  136. 12:39 AM <eliasf> no problem
  137. 12:39 AM <joel135> Do this by fantasizing about (a => b), (b => c), aiming to prove c.
  138. 12:39 AM → Destol joined (~Destol@dsl-173-206-4-4.tor.primus.ca)
  139. 12:39 AM <joel135> Sorry
  140. 12:39 AM <laurus> Okay
  141. 12:39 AM <joel135> aiming to prove (a => c).
  142. 12:40 AM <minn> joel135: But a => a for all propositions a, and I don't get everything I want :D
  143. 12:40 AM ⇐ Jackneill quit (~Jackneill@unaffiliated/jackneill) Remote host closed the connection
  144. 12:40 AM <joel135> minn: What do you mean?
  145. 12:40 AM <eliasf> a -> a is valid
  146. 12:41 AM ⇐ josefig quit (~josefig@unaffiliated/josefig) Remote host closed the connection
  147. 12:41 AM <minn> You said "[to] say a => b means that if we fantasize about a then we will discover b." It was a dumb joke, I apologize.
  148. 12:41 AM → josefig joined
  149. 12:41 AM <laurus> joel135, with you so far
  150. 12:41 AM <joel135> ok
  151. 12:41 AM ⇐ hawkfalc_ quit (~hawkfalco@pcp130020pcs.wireless.calpoly.edu) Quit: Textual IRC Client: www.textualapp.com
  152. 12:43 AM <joel135> So in this fantasy (a => b), (b => c) we want to prove (a => c). Do this by fantasizing about a.
  153. 12:43 AM ⇐ jdc1197 and rockyh quit
  154. 12:44 AM <joel135> Here's a rule of simplification, which will be generalized later: if a is true and a => b then a => b *means* b.
  155. 12:44 AM → dlock23 joined (~deadlock2@230.red-79-150-161.dynamicip.rima-tde.net)
  156. 12:44 AM <joel135> Sorry
  157. 12:44 AM <laurus> joel135, okay
  158. 12:44 AM <joel135> if a is true then a => b *means* b.
  159. 12:45 AM <laurus> Ok
  160. 12:45 AM <joel135> a. (a => b) i.e. b. (b => c) i.e. c.
  161. 12:45 AM → nollyyy joined (ada914a2@gateway/web/freenode/ip.173.169.20.162)
  162. 12:46 AM <laurus> Ok
  163. 12:46 AM <joel135> So c is true. Thus (a => c) in the fantasy (a => b), (b => c). Thus (a => b), (b => c) => (a => c).
  164. 12:46 AM <laurus> Alright
  165. 12:46 AM ⇐ HeN quit (uid3747@gateway/web/irccloud.com/x-qitmfifnjjkrabfi) Quit: Connection closed for inactivity
  166. 12:46 AM <nollyyy> I'm programming a simulation requiring trig and 0 degrees is upward and not to the the right like regular math. :/
  167. 12:46 AM <joel135> Now let me introduce the word "not". I will be as careful as I can.
  168. 12:46 AM <laurus> joel135, ok
  169. 12:46 AM <Polymorphism> the discrete pocket catheter, curved to fit in your pocket to go *anywhere*
  170. 12:46 AM <Polymorphism> sorry wrong window
  171. 12:47 AM <joel135> The key idea is that we must define what we mean by "not".
  172. 12:48 AM ⇐ sn6uv quit (~sn6uv@pptp-212-201-73-36.pptp.stw-bonn.de) Remote host closed the connection
  173. 12:48 AM <laurus> joel135, I think you'd better stop here actually :)
  174. 12:48 AM <laurus> I'm afraid I'm going to get re-confused again
  175. 12:49 AM <eliasf> dont be a pessimist
  176. 12:49 AM ⇐ Onemorenickname and zdorovo quit
  177. 12:49 AM <joel135> No, come on. It is good to consider new things. I'll continue.
  178. 12:49 AM <laurus> joel135, all right.
  179. 12:50 AM → Floenne joined ⇐ Cooleh quit
  180. 12:51 AM <joel135> When choosing meanings for "not" we need a criterion to guide us. This criterion is: If a, not a then we can prove anything.
  181. 12:52 AM ⇐ django_ quit (~jonathan@unaffiliated/django-/x-8345756) Quit: django_
  182. 12:52 AM <joel135> I choose to define not (a, b) as follows: a => not b.
  183. 12:52 AM <laurus> All right
  184. 12:52 AM → kawaiiru joined ↔ josefig and Floenne nipped out
  185. 12:53 AM <joel135> Is this reasonable? Well, fantasize about (a, b), a => not b.
  186. 12:53 AM <joel135> Then b, not b.
  187. 12:54 AM Vogone → Vgn|away
  188. 12:54 AM <joel135> If we have defined "not" according to the above criterion in all other places, then we can prove anything in this fantasy. Thus our definition is okay, according to the criterion.
  189. 12:54 AM ⇐ _mirko_ and neupuceni quit
  190. 12:55 AM <joel135> Maybe more precisely, if we have defined "not" according to the above criterion for b, then we can prove anything in this fantasy. Thus our definition is okay, according to the criterion.
  191. 12:55 AM → whaletechno joined (~whaletech@unaffiliated/whaletechno)
  192. 12:55 AM <laurus> Alright.
  193. 12:55 AM <joel135> There is a small problem about infinite recursion here. Shall we let that slide for now?
  194. 12:56 AM <laurus> Yes
  195. 12:56 AM <laurus> :P
  196. 12:56 AM <joel135> ok :)
  197. 12:56 AM <joel135> Note that at this point, we do not know that "not not a" always *means* a. We will get to that soon.
  198. 12:57 AM <joel135> But first, let's define not (a => b).
  199. 12:57 AM <laurus> Ok
  200. 12:57 AM <joel135> It shall mean a, not b.
  201. 12:58 AM ↔ josefig nipped out
  202. 12:58 AM <joel135> We now notice something: not not (a, b) means not (a => not b), which in turn means (a, not not b).
  203. 12:59 AM <laurus> Hm, right.
  204. 12:59 AM <joel135> (By the way that definition meets the criterion. Exercise.)
  205. 12:59 AM → subsignal joined (~subsignal@50.251.111.225)
  206. 12:59 AM <joel135> Someone show me that the definition of not (a => b) meets the criterion.
  207. 12:59 AM <laurus> Ok
  208. 1:00 AM → math675 joined ↔ JenElizabeth nipped out
  209. 1:00 AM <laurus> joel135, I'm listening to the continuation of your explanation
  210. 1:00 AM <joel135> Don't you want to complete the exercise first?
  211. 1:00 AM <math675> So if you solved an equation that solves the issue of fermat in one page or less in a proof who would you contact.
  212. 1:00 AM → nitrxgen joined (~nitrxgen@unaffiliated/nitrxgen)
  213. 1:00 AM <laurus> joel135, my brain is kind of exhausted from thinking about this issue for these past few hours
  214. 1:01 AM → SpaceAce joined (~SpaceAce@124-170-64-145.dyn.iinet.net.au)
  215. 1:01 AM <eliasf> math675, anyone who can tell you that you havent
  216. 1:01 AM <nollyyy> trying to move an object along angle "a". it's not going correctly: http://pastebin.com/FkfxAHZU
  217.  
  218. 1:01 AM ⇐ millerti quit (~millerti@cpe-66-24-91-119.stny.res.rr.com) Quit: My Mac has gone to sleep. ZZZzzz…
  219. 1:01 AM <eliasf> math675, just email someone at your closes university
  220. 1:02 AM <joel135> Does anyone else want to try the exercise? Otherwise I will continue.
  221. 1:02 AM <math675> ha my own department is snoozing. nobody believes you nobody believed einstein. but I do have it.
  222. 1:02 AM <eliasf> one page dude
  223. 1:02 AM <eliasf> its not a matter of belief
  224. 1:02 AM <math675> yes
  225. 1:02 AM <Svitkona> nollyyy, what's the point of condition in the if statement?
  226. 1:02 AM <math675> yes
  227. 1:02 AM <math675> I know
  228. 1:02 AM <eliasf> just get someone to check it
  229. 1:03 AM <math675> already did
  230. 1:03 AM → QwertyDL joined (48e6d7e6@gateway/web/freenode/ip.72.230.215.230)
  231. 1:03 AM <eliasf> well congratulations on the fields medal then
  232. 1:03 AM <nollyyy> Svitkona: to try to get it to move correctly on the y axis when less than 180.
  233. 1:03 AM <math675> in confidence with a professor of mathematics.
  234. 1:03 AM ⇐ empyreany quit (~empyreanx@172-97-230-196.cpe.distributel.net) Ping timeout: 244 seconds
  235. 1:03 AM <QwertyDL> What is the difference beteeen data/datum and a mathematical obkect in general?
  236. 1:03 AM <nollyyy> i think it might be helping a bit. been experimenting
  237. 1:03 AM <Svitkona> did you try without any if statements?
  238. 1:03 AM <eliasf> and this person didnt know who to contact? come on
  239. 1:04 AM <kadoban> math675: And what'd they say?
  240. 1:04 AM <math675> she respects my right
  241. 1:04 AM ⇐ nitrxgen_ quit (~nitrxgen@unaffiliated/nitrxgen) Ping timeout: 244 seconds
  242. 1:04 AM <QwertyDL> All datum are mathematical fundamrntally? If not, then what. In othet words
  243. 1:04 AM <math675> and she agrees most of the education system is tarnished here
  244. 1:04 AM <joel135> I'll continue. We noticed that not not (a, b) means (a, not not b). For now, I will use the symbol "=" to denote "means". Furthermore, notice that not not (a => b) = not (a, not b) = (a => not not b).
  245. 1:05 AM <kadoban> math675: She looked over your mathematical proof and said "I respect your right"? That … doesn't seem to make any sense.
  246. 1:05 AM <math675> I have multiple axioms
  247. 1:05 AM <nollyyy> Svitkona: yes. Ihave to do Math.blah(angle + changeInAngleApplied) though for some reason to work. even then you can see the x and y axis both moving it a bit odly
  248. 1:05 AM <QwertyDL> I indetstand now
  249. 1:05 AM <nollyyy> like when it
  250. 1:05 AM <Svitkona> what is changeInAngleApplied?
  251. 1:05 AM <QwertyDL> Hanks
  252. 1:06 AM ← QwertyDL left (48e6d7e6@gateway/web/freenode/ip.72.230.215.230)
  253. 1:06 AM <math675> and my final solution hinges on equality by being n=0 so yes.
  254. 1:06 AM → millerti joined (~millerti@cpe-66-24-91-119.stny.res.rr.com)
  255. 1:06 AM <math675> and if is not the system stops and resets
  256. 1:06 AM ⇐ millerti quit (~millerti@cpe-66-24-91-119.stny.res.rr.com) Client Quit
  257. 1:06 AM <nollyyy> I press A key to change angle by +45. adding it to it seems to make it work almost perfectly
  258. 1:06 AM <joel135> Let's now agree, after having defined "not" in two cases, that not not a should always be just a.
  259. 1:06 AM → nine_9 and millerti joined
  260. 1:07 AM <eliasf> math675, just show us your paper
  261. 1:07 AM <laurus> joel135, ok
  262. 1:07 AM <kadoban> math675: No, I mean the response you're saying she gave literally makes no sense. If I gave a proof of something to someone and their response was "I respect your right", I would ask them to rephrase it, because that literally makes no sense.
  263. 1:07 AM <Svitkona> nollyyy, so when you press A, it doesn't directly add to the angle ?
  264. 1:07 AM → Scourje joined ⇐ subli quit
  265. 1:08 AM <joel135> But look! not (a, not b) = (a => not not b) = (a => b).
  266. 1:08 AM ⇐ millerti quit (~millerti@cpe-66-24-91-119.stny.res.rr.com) Client Quit
  267. 1:08 AM <laurus> joel135, :)
  268. 1:08 AM ⇐ qasaur and nine quit
  269. 1:10 AM <nollyyy> Svitkona: pressing a does add to it. I realize I'm being unclear, here: http://pastebin.com/yzf4EFHM
  270.  
  271. 1:10 AM → jdc1197 joined ⇐ Raz- quit
  272. 1:10 AM <eliasf> math675, just share your proof
  273. 1:10 AM jdc1197 → Guest12624
  274. 1:11 AM <Svitkona> looks like you add 45 twice: once under if(Pressed(Keys.A)) and then another time after the if block
  275. 1:11 AM <joel135> This is means the word "implies" and the symbol "=>" are redundant. Although they have important meaning, the words themselves are now unnecessary. Keep that in mind. Everything boils down to lists "(a, b, c, ..., z)" and negations "not a".
  276. 1:11 AM <Svitkona> is that intended?
  277. 1:11 AM ⇐ Trixis quit (~Trixis@unaffiliated/trixis) Quit: Textual IRC Client: www.textualapp.com
  278. 1:11 AM <laurus> OK joel135
  279. 1:11 AM ⇐ kawaiiru quit (~Dragonair@unaffiliated/kawaiiru) Quit: kawaiiru
  280. 1:12 AM <joel135> I will use "-" to denote "not". I will now define the word "or".
  281. 1:12 AM <nollyyy> adding 45 under a key press is but when doing Math.cos(a) adding 45 seems to make it work. without it, it behaves a little odd.
  282. 1:12 AM <joel135> a or b means that given any c such that (a => c) and (b => c), we deduce c.
  283. 1:13 AM <nollyyy> Svitkona: I assume because 0 degrees is upwards
  284. 1:13 AM <Svitkona> does Math.cos(a) take input in degrees or radians?
  285. 1:13 AM → kawaiiru joined (~Dragonair@unaffiliated/kawaiiru)
  286. 1:13 AM <math675> thank you and it's one inch long and explains and unifies physics and the issue of gravity in a single theory.
  287. 1:13 AM → zdorovo joined (~ds@c-174-52-161-33.hsd1.ut.comcast.net)
  288. 1:13 AM <math675> =)
  289. 1:13 AM <eliasf> hahaha
  290. 1:13 AM <eliasf> lets see it then
  291. 1:13 AM <nollyyy> Svitkona: reading the specifications it says radians. uh oh
  292. 1:13 AM <joel135> In symbols, a or b = -(-(a, -c), -(b, -c), -c). Take some time to think about that.
  293. 1:13 AM <Svitkona> hm ok
  294. 1:14 AM <Svitkona> is there another function for degrees?
  295. 1:14 AM <laurus> joel135, ok
  296. 1:14 AM → feigned joined (~sonidovv@unaffiliated/son1dow)
  297. 1:14 AM <nollyyy> I think Math.cos(Math.ToDegrees(a)) would make it degrees
  298. 1:14 AM <math675> X=z aX+bX=CX or aX+c CX/d=e e/X=f f≥X X=y Anti Solution X>z=a if a=0 a=a continue
  299. 1:15 AM <Svitkona> try Math.cos(Math.ToRadians(a)) instead
  300. 1:15 AM ⇐ Senji quit (~Senji@79-100-79-231.ip.btc-net.bg) Ping timeout: 260 seconds
  301. 1:15 AM <Svitkona> assuming everything on your side is in degrees, and the function works in radians, that should work
  302. 1:15 AM <eliasf> math675, that makes no sense
  303. 1:16 AM <joel135> I love this way of writing things. -(-(a, -c), -(b, -c), -c). It is very uniform. You can read the symbol combination "-(" as "if". Later you then must read "-a)" as "then a".
  304. 1:16 AM <math675> I know because it basis is new identity of mathematics unification
  305. 1:16 AM ⇐ dlock23 quit (~deadlock2@230.red-79-150-161.dynamicip.rima-tde.net) Ping timeout: 252 seconds
  306. 1:16 AM <joel135> So "if if a then c and if b then c then c".
  307. 1:16 AM → empyreany joined (~empyreanx@192.40.88.15)
  308. 1:16 AM <joel135> Every word I just said corresponds to a symbol.
  309. 1:17 AM <nollyyy> Svitkona: it works! Only thing is the rendering shows it 45 degrees off but i can fix that.
  310. 1:17 AM <Svitkona> alright
  311. 1:17 AM <nollyyy> I'll start reading more on understanding radians
  312. 1:17 AM <nollyyy> thank you though
  313. 1:17 AM <Svitkona> they're just another unit of measurement for angles
  314. 1:17 AM → home_ joined (~home@unaffiliated/home)
  315. 1:18 AM <math675> so if x>z = dead
  316. 1:18 AM <Svitkona> they're a lot more "natural" than degrees
  317. 1:18 AM <laurus> joel135, it is helpful
  318. 1:18 AM <Svitkona> but yeah
  319. 1:18 AM <joel135> :D
  320. 1:18 AM <laurus> Thank you for explaining this
  321. 1:18 AM ⇐ Rovle quit (Rovle@vipnet3949.mobile.carnet.hr) Quit: Leaving
  322. 1:18 AM <eliasf> dead?
  323. 1:18 AM <nollyyy> they're just the number i get when I do opposite/hypothenuse etc?
  324. 1:18 AM <math675> yup\
  325. 1:18 AM <Svitkona> er not really
  326. 1:18 AM <laurus> I apreciate it!
  327. 1:18 AM <math675> breakdown of physical universe
  328. 1:18 AM <Svitkona> it's defined like this: a full turn is equal to 2pi radians
  329. 1:19 AM ⇐ tmg quit (~tmg@unaffiliated/tmg) Quit: leaving
  330. 1:19 AM <joel135> Next definition: A boolean statement x is such that x or not x.
  331. 1:19 AM <Svitkona> in degrees, one full turn is equal to 360 degrees
  332. 1:19 AM <laurus> joel135, I am going to have to leave soon unfortunately
  333. 1:19 AM ⇐ silver quit (~silver@93.85.38.238) Quit: rakede
  334. 1:19 AM <joel135> laurus: Ok, maybe we have covered enough.
  335. 1:20 AM <laurus> joel135, I thank you again
  336. 1:20 AM ⇐ zdorovo quit (~ds@c-174-52-161-33.hsd1.ut.comcast.net) Ping timeout: 260 seconds
  337. 1:20 AM <nollyyy> got it. also degrees are just a way of visualizing radians right?
  338. 1:20 AM <Svitkona> well it's really a bit like feet and metres
  339. 1:20 AM <Svitkona> they're both units for measuring distance
  340. 1:20 AM <Svitkona> and there are conversion factors between both of them
  341. 1:20 AM <Svitkona> and so on
  342. 1:20 AM <joel135> No problem :) Thank you for listening!
  343. 1:22 AM <laurus> Thanks for taking the time :) I wrote it down so I can refer to it later
  344. 1:22 AM → duggiefresh and struktured joined ⇐ math675 and uncletobai quit ↔ dj-pi popped in
  345. 1:24 AM <baxx> I'm not sure how to do problem 31 here https://www.docdroid.net/QJzhnPU/chrome-extension-mhjfbmdgcfjbbpaeojofohoefgiehjai-index-material.pdf.html
  346. 1:25 AM <baxx> How I've tried it is - using the combinations that are given before it and then drawing out a table (see here http://vpaste.net/CP7Fa ). So that I can have the following for pairs of values, and triples of values. So when sum up i have 22 ways... I'm not sure if this is right though, or if the reasoning is any use? It doesn't feel very general.
  347. 1:26 AM ⇐ laurus and dj_pi quit
  348. 1:26 AM <Kol> you might need to approach this recursively and come up with a recurrence relation to solve?
  349. 1:26 AM <Kol> ie find an operator, put parentheses around the two operands, repeat
  350. 1:26 AM → Heasummn_ joined (~Heasummn@c-73-51-87-243.hsd1.il.comcast.net)
  351. 1:26 AM <baxx> Kol: I'm not sure i follow :/
  352. 1:27 AM <baxx> oh right, i think i might do. hrm
  353. 1:27 AM <Kol> your idea of finding doubles and triplets doesn't scale
  354. 1:27 AM <Kol> i think
  355. 1:27 AM ⇐ duggiefresh quit (~duggiefre@64.119.141.126) Ping timeout: 276 seconds
  356. 1:27 AM <baxx> Kol: probably not, but is it sound for this case?
  357. 1:28 AM <Kol> unfortunately i don't have the confidence to have a say :p
  358. 1:28 AM ⇐ tnecniv quit (~textual@unaffiliated/jimihendrix) Quit: My Mac has gone to sleep. ZZZzzz…
  359. 1:28 AM <baxx> Kol: np, how would you actually do it then?
  360. 1:28 AM <Kol> well i'd probably build off my idea
  361. 1:28 AM <Kol> of choosing operations to group
  362. 1:28 AM → helpD joined (~helpD@92.0.255.0)
  363. 1:28 AM <Kol> systematically going through all of the choices
  364. 1:28 AM <baxx> well it's just multiplication
  365. 1:29 AM <Kol> sure, in this case the exercise might seem pointless
  366. 1:29 AM <Kol> but if you change any of those operators to things with higher/lower precedence, then the groupings are quite important
  367. 1:30 AM <baxx> yea but this problem is specified to multiplication
  368. 1:30 AM <minn> bazz: How many ways can you put parentheses around the individual factors. How many ways can you put parentheses around contiguous groups of two factors? Three factors? And so forth. Then apply the multiplication rule. I think this approach is correct.
  369. 1:30 AM → hays joined ⇐ josefig and Haakon__1 quit
  370. 1:30 AM <baxx> minn: i haven't put parens around the individual factors as they weren't used in the previous example like that
  371. 1:31 AM ⇐ Enthralled quit (~Enthralle@65.19.183.157) Ping timeout: 260 seconds
  372. 1:31 AM <baxx> minn: here if you didn't see : https://www.docdroid.net/QJzhnPU/chrome-extension-mhjfbmdgcfjbbpaeojofohoefgiehjai-index-material.pdf.html (i'm doing 31)
  373. 1:31 AM <minn> I assumed the example wasn't exhaustive, sorry.
  374. 1:32 AM ⇐ captainralf quit (~captainra@94.242.243.189) Ping timeout: 260 seconds
  375. 1:32 AM <baxx> minn: no worries, i really don't know what's best tbh. It seems to imply it's enough, maybe i'm being lazy tho idk
  376. 1:32 AM → captainralf, millerti, Enthralled and tau joined ⇐ fedorafan, hays_, helpD and blight quit
  377. 1:33 AM <minn> You can enumerate them by starting with (2 * 3 * 4 * 5) * 6 and 2 * (3 * 4 * 5 * 6), then considering 2 * 3 * 4 * 5 and 3 * 4 * 5 * 6, right?
  378. 1:34 AM <minn> I gues there is also (2 * 3) * (3 * 4 * 5) and so forth. But that is systematic.
  379. 1:34 AM <minn> So figure that out and then write a recurrence.
  380. 1:34 AM → fedorafan joined (~fedorafan@unaffiliated/fedorafan)
  381. 1:35 AM <Kol> baxx http://pastebin.com/BmHsV998 this is what i had in mind
  382.  
  383. 1:35 AM <baxx> i'm not sure what to figure - what do you mean i can enumerate them like that? I've written them out like that
  384. 1:35 AM <Kol> i think mine's a bottom-up approach whereas you guys are working on a top-down
  385. 1:35 AM <Kol> dunno which is more feasible/correct
  386. 1:36 AM <baxx> i have no idea, i'm only on page 13, ace.
  387. 1:38 AM → qeed, zwisch and dhex joined ⇐ struktured, mu5t, linelevel and sufferGirl quit
  388. 1:42 AM <dhex> hello all. How to do for this integral? http://i.imgur.com/yjhOBEJ.png
  389. 1:43 AM <baxx> this is a wrong approach http://vpaste.net/VuZkK
  390. 1:43 AM <dhex> baxx, ?
  391. 1:43 AM → unreal_ joined (~unreal@unaffiliated/unreal)
  392. 1:43 AM <baxx> dhex: not related to your problem
  393. 1:43 AM <dhex> k
  394. 1:43 AM <Svitkona> try integration by parts
  395. 1:43 AM <dhex> Anyone can help me please?
  396. 1:44 AM <baxx> dhex: svit just did
  397. 1:44 AM <dhex> he didn't
  398. 1:44 AM <baxx> k
  399. 1:44 AM <Svitkona> do you know what integration by parts is?
  400. 1:44 AM <dhex> baxx, something wrong?
  401. 1:44 AM <baxx> ?
  402. 1:44 AM <dhex> Svitkona, I don't know what it is.
  403. 1:45 AM <Svitkona> so why are you trying this integral?
  404. 1:45 AM <Svitkona> what techniques do you know?
  405. 1:45 AM <dhex> because i have exercise
  406. 1:45 AM <minn> baxx: If (*) is a binary operation, then the number of ways to parenthesize a1 * ... * an will be the sum of the number of ways to parenthesize each way of decomposing a1 * ... * an into two groups, e.g.: a1 * (a2 * ... * an), (a1 * a2) * (a3 * ... * an), and so forth. This should be a simple enough recurrence to write, but it's surprisingly difficult to solve.
  407. 1:45 AM <dhex> idk
  408. 1:45 AM → mu5t joined ⇐ Flynnn quit
  409. 1:45 AM <dhex> x/2 so 0.5x ... 1/x^2 is x^-2
  410. 1:45 AM ⇐ daFonseca quit (~daFonseca@p5DE63CFA.dip0.t-ipconnect.de)
  411. 1:45 AM <dhex> integral is only on the x
  412. 1:45 AM <baxx> dhex: get wolfram app on your phone and view the steps, or symbolab / cymath might be useful
  413. 1:46 AM ⇐ unreal quit (~unreal@unaffiliated/unreal) Ping timeout: 250 seconds
  414. 1:46 AM <Svitkona> yes but this isn't in the form x^a
  415. 1:46 AM <dhex> baxx, wolfram cost money
  416. 1:46 AM <Svitkona> this is log_2(x)
  417. 1:46 AM <dhex> this is not helping
  418. 1:46 AM <baxx> dhex: yeah like £2
  419. 1:46 AM <dhex> baxx, you are not helping
  420. 1:46 AM <baxx> dhex: symbo and cymath are free
  421. 1:46 AM <Svitkona> are you supposed to use integration tables, dhex ?
  422. 1:46 AM <baxx> dhex: get over yourself
  423. 1:47 AM <dhex> Svitkona, no
  424. 1:47 AM <Svitkona> integration by parts is your best option for this integral
  425. 1:47 AM <Svitkona> i don't even know if it can be done in any other way.
  426. 1:47 AM <dhex> :(
  427. 1:47 AM <Svitkona> if you want an exact result, that is
  428. 1:47 AM <dhex> I know integral of x is x^2/2
  429. 1:48 AM <minn> baxx: If T(n) denotes the number of ways to parenthesize a1 * ... * an, assuming (*) is a binary operation, it follows that T(b) = sum[i = 1 ... n -1] T(i) * T(n - i).
  430. 1:48 AM <dhex> idk about integrals on ln, and logs
  431. 1:48 AM <dhex> I know integrals of e^x
  432. 1:48 AM ⇐ cydrobolt quit (~cydrobolt@fedora/cydrobolt) Ping timeout: 260 seconds
  433. 1:49 AM <baxx> minn: thanks, just trying to work out the words there
  434. 1:49 AM ⇐ S3kun and fangs124 quit
  435. 1:49 AM <dhex> http://www.cymath.com/answer.php?q=integrate%20log2x
  436. 1:49 AM <dhex> omg baxx is trouble maker
  437. 1:49 AM <dhex> http://www.cymath.com/answer.php?q=integrate%207%2F3*log2x
  438. 1:50 AM ⇐ Floenne quit • Heasummn_ → Heasummn
  439. 1:51 AM <baxx> dhex: why bother posting that? i don't care if it worked, it's just a suggestion for future reference and such. Try symbolab and stop being a tool
  440. 1:51 AM ⇐ Heasummn quit (~Heasummn@c-73-51-87-243.hsd1.il.comcast.net) Quit: Bye
  441. 1:51 AM <dhex> Anyone can help me please?
  442. 1:51 AM <dhex> There is 900 people here
  443. 1:51 AM <Svitkona> i already told you how to solve your problem
  444. 1:51 AM <Svitkona> use integration by parts
  445. 1:52 AM → tarkus joined (hello@109.230.144.161)
  446. 1:52 AM <Svitkona> if all you're looking for is an approximation then use the trapezium rule or some other approximation method for integrals
  447. 1:52 AM ⇐ bildramer quit (~bildramer@p5DC8ADCC.dip0.t-ipconnect.de) Remote host closed the connection
  448. 1:52 AM <dhex> wtf what rule man
  449. 1:52 AM <dhex> stop kill me
  450. 1:52 AM → Kasadkad joined ⇐ Cppg quit
  451. 1:53 AM <Kol> lmao
  452. 1:53 AM → bildramer joined (~bildramer@p5DC8ADCC.dip0.t-ipconnect.de)
  453. 1:53 AM <Kol> "help me. but i won't undrestand anything you tell me"
  454. 1:53 AM <dhex> i am watching a video and it makes me harder
  455. 1:53 AM <baxx> Kol: they're on my ignore list now lol
  456. 1:53 AM <dhex> Kol, I do understand
  457. 1:53 AM <dhex> https://www.youtube.com/watch?v=dqaDSlYdRcs
  458. 1:53 AM <dhex> doesn't he suppose to write dx ?
  459. 1:53 AM → fangs124 and Guest82292 (was cydrobolt) joined ↔ n_blownapart nipped out
Advertisement
Add Comment
Please, Sign In to add comment
Advertisement