IRC log for #sporewiki on 20161120

00:06.07Cyrannianhttp://vignette4.wikia.nocookie.net/spore/images/d/d1/NeraidaCoreBattle.png/revision/latest?cb=20161119235647 - Take a look
00:14.48OluapPlayerThat's pretty good
00:24.07TechnobliteratorNice iamge :o
00:40.10XhoHachiman: THERE WILL BE A WAR
00:40.52Cyrannianhttp://vignette3.wikia.nocookie.net/spore/images/2/2c/NeraidaCoreBattle02.png/revision/latest?cb=20161120004040 - This turned out pretty good
00:43.30XhoCyrannian: "NOW LISTEN HERE YOU LITTLE SHIT"
00:46.48CyrannianI dun cropped it to take out the obnoxious mouth/bite graphic
01:04.06XhoHuh well I just noticed that bit about Andromedism
01:05.00XhoAnother thing the Kicath probably wouldn't like that much
01:05.40XhoEspecially since they appear to be the oldest power from the Milky Way
01:08.15MonetThe Kicath may be a possible exception
01:08.48MonetBuut they might lose points for the whole "emperors tend to get assassinated"
01:09.17XhoHm true
01:09.34XhoSeizure of power is sometimes considered more logical to them than not
01:09.48XhoAs absolute and as extreme as they are, they aren't always unified
01:10.28XhoSome believe in peace while others suggest that forcefully dissolving Xonexi's Golden Age is necessary
01:10.44XhoAs to why, well
01:11.06XhoThey believe peace and economic prosperity brings about stagnation
01:12.18XhoThe more aggressive Kicath don't believe in a permanent unity
01:13.33MonetDraconis - Stagnation only comes form peace when you expect it to persist by its own virtue.
01:13.41XhoWell that's the thing
01:13.49XhoThe Kicath don't believe in nor care about virtue
01:14.19XhoThe Gigaquadrant is a wheel and they'd prefer to do whatever it takes to move it
01:14.31XhoEven if it means a quadrillion and over death toll
01:14.51XhoOf course that's that conjecture and the Kicath aren't mobilising
01:15.06XhoBut that's the more extreme view of some of them
01:15.28XhoThe popular view currently is maintaining order
01:15.43XhoAlthough they don't buy into any of the sociopolitical values of the contemporary Gigaquadrant
01:17.33MonetDraconis - A wheel will not move unless you push it.
01:17.53XhoThrough death or life however is what the Kicath decide upon
01:20.17XhoI'd imagine by now the Draconis would know the mechanism of Kicathian politics
01:20.40XhoDespite the fact that the Kicath are among the Gigaquadrant's most advanced species their political structure is very basic
01:21.24XhoI suppose a race unconcerned with the consequences of their actions with other races wouldn't have a complex political structure
01:22.24XhoI imagine their Andromedan territories are all governed by a foreign populace in order to coexist naturally with Andromeda
01:22.38MonetProbably for the best
01:23.03XhoBorealis is a different story though, the Kicath's machine like nature works with Borealis' environment
01:23.12XhoTo a point
01:23.24MonetThough the idea that The kicath are advanced but politically unchanged may imply to them that Kicath society stagnated long ago
01:23.47XhoPerhaps
01:24.01XhoThen again Kicathian society is cosmopolitan despite the fact that the Kicath are there
01:24.24XhoIt's more likely foreign influences that make their society progressive rather than retrograde
01:26.06MonetDepends on how influential the non-Kicath are
01:26.23XhoThe Kicath more than likely allowed non-Kicath influence so they could acquire influence for themselves
01:26.36XhoIn a somewhat non-malicious manner
01:26.43XhoAlthough it depends on what point in history
01:27.07XhoSome points in history might be a comparatively diplomatic assimilation
01:27.14MonetDraconis - That's decent thinking though.
01:27.29XhoOther points would be total invasion and a vehemently malicious enslavement
01:28.51MonetAs much as the Draconis might honour the Kicath as another ancient race. Some might have reservations by seeing the Kicath as a stagnant power.
01:29.01XhoI wouldn't be totally surprised if the Kicath have the mental capacity to reciprocate quirks of other species in order to socialise
01:29.29MonetSo some ambassadors and praetors might argue the Kicath themselves are past their prime.
01:30.06XhoIt's possible
01:30.29XhoThe Kicath have little more to gain from societal order and peace
01:30.55XhoIt's probable that a morality shift is on the cards although this might cause more internal damage than not
01:31.13XhoThe logical decision is to maintain order, the logical decisionis also to cause war
01:31.35XhoKicathian society might implode from a political paradox
01:33.02XhoThe Draconis would have experienced this change before but the Kicath are Gigaquadrantic in power projection
01:33.34XhoWhat is essentially their device for societal evolution cannot happen because they've hit the peak of their power projection
01:34.53XhoThe only thing they could do past that point is to either       1) Assimilate more cultures either forcefully or peacefully            2) Stagnate and crumble
01:35.14MonetI recall France's primary contention was the Kicath were expecting unconditional respect despite having not really done much for decades.
01:35.33XhoThe Kicath demand respect because they're the Kicath
01:36.24XhoTheir thought process is that their existence is necessary and therefore demands respect
01:36.44MonetDraconis - Learn from us. No one cares unless you inspire them.
01:37.05XhoThing is, I don't know where the Kicath would turn to if they decided to start assimilating cultures
01:37.21XhoMirus is the most likely
01:38.12XhoUnfortunately the machine cannot move much further than this
01:38.12MonetThis might be where things get difficult.
01:38.35XhoThe ultimate flaw of being a machine descended from Krathazhrukhal is
01:38.37XhoYou're not Krath
01:38.42MonetIf the Kicath start assimilating in Mirus it might engage the Alcant iTriad against the Kicath.
01:38.51XhoThat is what will happen
01:39.12XhoThe only thing that they can target properly is the Dominion
01:39.35XhoThe Dominion is their final obstacle in terms of Gigaquadrantic order
01:40.05XhoPast that point there'd be no more societal evolution and they'd either ascend to post sapience or destroy themselves
01:40.24XhoAnd since the Dominion fundamentally cannot be removed, the latter is more likely
01:41.08XhoThe Kicath basically contain the mindest of a god although not the power of a god
01:42.08XhoSo ultimately I've designed the Kicath to inevitably crumble to oblivion
01:42.22XhoSuch is fate when the Xhodocto are origin of it
01:43.08XhoJudging by what we've said, that dissolution will start happening within the next century
01:44.44MonetCivilisations that don't adapt are doomed to collapse.
01:45.05XhoIndeed
01:45.09XhoThe Kicath cannot and will not see that
01:45.16XhoThey believe all societies should adapt to them
01:45.37Cyrannianhttp://spore.wikia.com/wiki/Fiction:Neraida_War#Battle_of_the_Neraida_Core - Take a look, the end of the Neraida War
01:46.35Xhoded bots
01:46.43MonetDraconis - This is why aliens struggle to respect you
01:47.32XhoThey're machines that have reached the crux of their computability
01:47.40CyrannianParticularly "The Virus" section, it made Oluap and I crai
01:48.15OluapPlayerOnly took 6 months
01:48.35Xho6 months is pretty quick all things considered
01:48.59XhoMonet: Judging by the fact I'll be much less active this time next year I will probably incite the Kicath to collapse in fiction
01:49.07XhoA grim end but an end nonetheless
01:49.11CyrannianAye, Dark Times took four years
01:51.07XhoMakes me wonder what the Kicath would have been like if the Vi'Navitum and Xi'Arazulha didn't genetically interfere
01:52.37OluapPlayerdemons
01:53.30MonetThere's a nalternate universe possibility.
01:53.42XhoMeh not really, I don't have the patience for it
01:54.21MonetFair enough
01:54.36XhoAs for post collapse, not sure what happens to the Kicath
01:55.20XhoThey are incredibly numerous although their society will likely fragment into numerous smaller powers and will probably continue to halve until their influence is eradicated
01:56.39XhoEither that or they rebound together and cause their society to re-progress by eliminating their weaker half
01:56.51XhoAs was with the Remnant against the Empire
01:58.50XhoAnd it will be either beneficial or detrimental to the rest of the Gigaquadrant depending on whether a peaceful or destructive Kicathian power would arise out of it
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01:59.50MonetHello
02:00.45XhoAnyway I need to go to sleep
02:01.00CyrannianAye, me too
02:01.08*** part/#sporewiki Cyrannian (uid97882@gateway/web/irccloud.com/x-hszfuivtsjkzqmds)
02:43.30Wormy_Wow I left IRC on all day
02:45.34Wormy_Imperios's Britain First link soiled my internet history :(
02:48.25The_Randomnessrip
02:50.02Wormy_Now Google and Facebook thinks I'm a fascist
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02:50.25MrRankings11Hi
02:50.55Wormy_The_Randomness: https://www.youtube.com/watch?v=kcGT4p2IFkw
02:52.03MrRankings11Hey Wormy, i Subsribed to your youtube account
02:53.50Wormy_Aww, WormulonDCP?
02:54.05The_RandomnessWormy_: lmao
02:54.14Wormy_I'm making a scientific vis channel when I get the time
02:55.11MrRankings11Yo Wormy, any tips for making a human character?
02:55.51Wormy_In Spore?  I never really had a goo go making one from scratch.  I based my human model on Xho's.
02:55.56Wormy_*good
02:56.21Wormy_The nose part included in the game is too big
02:57.03Wormy_So one thing I remember is that you can turn certain parts inside out (into the model) to represent a nose
02:57.26MrRankings11No i mean a character for the wiki
02:57.37Wormy_Right
02:58.12Wormy_Again, I don't really have any
03:05.10MrRankings11Wait didn't you riight most ofthe lore surrounding humanity in spore?
03:07.02MrRankings11Well on the spore wiki fiction u niverse
03:07.07MrRankings11*universe
03:08.37Wormy_A lot of the original lore I contrinuted to, yeah
03:09.02Wormy_But a couple of years ago, having humans became an established trend
03:10.08Wormy_bbl games
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12:44.00dino82_hi
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12:55.31Wormy_hi
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12:59.32dino82_hi
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13:20.45JepardiHi
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13:23.48Wormy_hi
13:23.56dino82_hi
13:24.35Monethi
13:25.08Wormy_In Fallout 4 last night I was very drunk and running away from a Mirelurk Queen, but was blacked by Raiders.  Instead of playing carefully I went into a massive frenzy and defeated them all, and this music started to play https://www.youtube.com/watch?v=tjYXmAvbZeM
13:25.15Wormy_*blocked
13:53.26dino82_lol
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14:24.50Groxkiller98Hai.
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14:26.17Quark8Hello.
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14:50.46GhelaeHello.
14:51.48Quark8Hello.
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14:57.57TreebeardHello
15:00.14Quark8Hi.
15:00.59GhelaeHello.
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15:20.33Groxkiller98Is most of chat today going to be hellos?
15:22.30MonetIt's quiet.
15:27.38*** join/#sporewiki Imperios (~Imperios@95.140.92.31)
15:27.47ImperiosHello
15:27.49GhelaeHello.
15:28.24ImperiosGhelae: Hi, I'm here to bug you again. Do you have any idea how to determine the density of the square of a random variable?
15:28.48ImperiosThe variable's distribution itself is normal BTW
15:28.54Imperiosnormal as in the probability theory normal
15:29.42GhelaeHmm. I'm not sure, but it shouldn't be complicated.
15:30.41ImperiosI would think I should somehow use  the normal formula for multiplying two random variables but doesn't that only work if said variables are independent from one another?
15:30.47ImperiosAnd in that case, they are, well, the same
15:32.47GhelaeSo... the density of the variable itself is given by a normal distribution. Is the mean zero?
15:33.22ImperiosI believe so
15:33.28ImperiosYeah it is
15:33.33ImperiosBecause e
15:34.53GhelaeSo would that mean that, if we call the variable X, for any value x then P(X^2 = x^2) = P(X = x) + P(X = -x)?
15:36.11Imperios...Hell, that makes sense
15:36.30GhelaeI'm thinking the density would be a simple modification of the normal distribution; for a start, it would only be the part with the positive domain.
15:37.26GhelaeYou wouldn't have to change the mean, because 0^2 = 0, but you might have to change the variance.
15:37.59ImperiosHmmm
15:38.47ImperiosSo P(X^2 = x) would be P(X = |x| ^ (1/2)) + P(X = -|x| ^ (1/2))
15:38.52ImperiosOr... something
15:39.21GhelaeYes. So if the normal distribution is a function of x, replace that with sqrt(x)? Then it's only defined (real) for positive x, too.
15:41.29Ghelaereminds himself what the formula for the normal distribution is
15:42.20GhelaeAh; it's a function of x^2 anyway. So replace that with x and only consider positive x.
15:42.34GhelaeAnd I think you'd change the variance too.
15:43.41GhelaeI don't know what to, though.
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15:45.37HachimanHi
15:47.13ImperiosHi
15:48.00Monethi
15:48.23ImperiosGhelae: About the "P(X^2 = x) would be P(X = |x| ^ (1/2)) + P(X = -|x| ^ (1/2))". Could I just treat the density of x^2 as a sum of the densities of these two?
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15:54.24CyrannianHi
15:56.21TreebeardHello
16:20.51GhelaeImperios: Come to think of it, you probably could, yes.
16:21.06Hachiman"The Flat Earth Society has members all around the globe!"
16:21.38GhelaeAlthough note that your left-hand side has P(X^2) whileyour right-hand side has P(X).
16:24.14Tek0516http://www.smbc-comics.com/comics/1479657757-20161120.png
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16:27.37ImperiosOh wait I just realised what I did wrong
16:28.03Tek0516Hey Charles_Murray
16:28.15ImperiosIt should not be a sum, but a... how do you call the opposite of a sum in English?
16:28.25ImperiosLike the result of substraction
16:29.33Charles_MurrayHey
16:30.13MonetRemainder?
16:30.18MonetHi
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16:34.45GhelaeImperios: Difference.
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16:37.24dino82_hi
16:38.57TreebeardHello
16:42.26dino82_hi
16:51.46ImperiosSo, if we were look at the equation of the cumulative distribution function as a chart, we would first have to cut the part that is more than sqrt X and leave only that which is less or equal, THEN cut from the remaining part the part which is less than - sqrt X, provided that X is >0
16:51.50Imperiosotherwise it'd be the opposite
16:53.01GhelaeYes.
16:53.48GhelaeAlthough if X<0 then sqrt(X) is presumably something you shouldn't be considering here.
16:56.13Imperiossqrt(|x|) I presume
17:12.23GhelaeYou're considering the distribution of what we originally called X^2, aren't you?
17:13.35ImperiosYeah
17:13.59ImperiosRight I am getting closer to the answer now, there's just one thing I wanted to make sure
17:14.08ImperiosI'm starting from the cumulative distibution function
17:16.31ImperiosSo... outside of squaring the variable, there's also a constant I need to multiply it by (Basically we are talking about a circle). I take that one would simply multiply the CDF by that constant?
17:16.38ImperiosJust making sure
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17:17.56GhelaeIt sounds like it. Is this constant because probability distributions are normalised so that the total cumulative probability is 1, but you're dealing with something that's similar but needs a different number?
17:17.58GhelaeHello.
17:19.16OluapPlayerhi
17:19.25ImperiosThat might as well be the worst conversation to bump into
17:33.18Cyrannianhi
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17:37.31The_RandomnessHello
17:38.47Monethello
17:41.50dino82_hi
17:49.26GhelaeHello.
17:57.25*** join/#sporewiki Xho (97e0b05c@gateway/web/freenode/ip.151.224.176.92)
17:58.30GhelaeHello.
17:59.08MonetEvening
17:59.51XhoHi
17:59.57XhoI had some ale earlier
17:59.59XhoIt was nice
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18:28.41ImperiosXho Hachiman: https://www.youtube.com/watch?v=y-2t-0-6soA So apparently the Zulu punished cowards by impaling them by the anus
18:41.16ImperiosGhelae: ...Hm. Do you know how to calculate a Gaussian integral, but not from infinity to infinity and from a finite value to a finite value?
19:00.47Monethttps://pbs.twimg.com/media/CxuO9ROVIAAkh5U.jpg history could have gone so much differently
19:01.04The_Randomnessolol
19:04.56MonetDidn't Luke also almost kill Ben after first turning it on?
19:15.30Charles_MurrayIf he had actually died in that scene, he would have been proven to be too dumb to live
19:16.26The_Randomnesslol
19:22.01dino82_May theLight be with you: http://spore.wikia.com/wiki/File:Janice_RossOrderLarge.png
19:39.57MonetHoly moly just checked EVE's numbers
19:40.19MonetThere's over 50,000 players online right now. That's a big spike
19:42.15MonetThis Alpha Clone idea has so far doubled the number of players normally online.
19:54.38Tek0516So much snow today. >.< Winter decided to greet Canada with a borderline blizzard.
19:56.09The_RandomnessTek0516: northern Minnesota got a bunch of snow iirc, so that's probably the same system
19:57.16Tek0516-15°C with the windchill right nowm
19:57.25Monetbrrr
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20:04.08Luxorevening
20:05.54GhelaeImperios: Isn't that just the cumulative probability function of the normal (i.e. Gaussian) distribution function?
20:06.05ImperiosOh wait yes
20:06.14ImperiosBrain fart
20:06.23The_RandomnessOh, I'm surprised I didn't think of that
20:06.33The_RandomnessIt's been a few too many months since I last did that
20:06.43ImperiosI love probability theory
20:06.58ImperiosI am literally the only person in my group who even tries to do the homework
20:07.02The_Randomnessolol
20:07.25ImperiosIt's getting stupid actually
20:07.45ImperiosIn math school I sucked at maths but was good with languages
20:08.24ImperiosNow I suck at languages but am sort of good-ish with maths
20:08.31MonetYou've found your calling.
20:08.46ImperiosI still hate maths
20:09.12ImperiosProgramming though, that works well for me
20:09.15MonetEveryone sucks at the beginning.
20:09.18The_Randomnessyeah
20:09.33ImperiosThen again
20:09.37MonetThe trick is to find a means to carry on.
20:09.38ImperiosMy French is getting better now I believe
20:10.40ImperiosIt's still so-so but kind of passable
20:13.35ImperiosGhelae: Holy shit, I just realised
20:14.04ImperiosSince the CMF of the function is basically F(something) minus F(minus something)
20:14.22ImperiosAnd the density of the standard normal function is symmetric https://upload.wikimedia.org/wikipedia/commons/1/1b/Normal_distribution_pdf.png
20:14.36Imperios...Wouldn't the density be zero?
20:15.48Imperios...Is that possible?
20:15.50ImperiosDoes that make sense?
20:17.41*** join/#sporewiki Groxkiller98 (52019bf3@gateway/web/freenode/ip.82.1.155.243)
20:26.34Groxkiller98Quiet here...
20:27.46MonetYou just joined
20:31.58dino82_:d
20:35.02Cyrannianhttp://spore.wikia.com/wiki/Fiction:Neraida_Gigamatrix - Made some big edits here to account for recent events, take a look
20:35.19CyrannianOluapPlayer: especially you
20:35.33OluapPlayerdunt tell me wut to do bubbo
20:35.41OluapPlayerI'll check it out
20:39.10OluapPlayerGood work. The Neraida were a fun fiction to use since their conception
20:39.13OluapPlayerThey had a good run
20:39.53Cyrannianrip you misunderstood wobots
20:42.01ImperiosCyrannian: Never thought I'd lament their demise
20:42.04OluapPlayermisunderstood destroyers of civilizations
20:43.14CyrannianOluap and I planned to have them survive in some way but decided against it at the end of the story, it felt like the natural way to end their run with a little exchange with the last Nagith
20:44.19ImperiosThere should be some robots running around shouldn't there?
20:44.37OluapPlayerYou planned it
20:44.51OluapPlayerI don't support reviving villains hur
20:45.25OluapPlayerAnd yes, as mentioned there are drones in Cyranai who have broken out of the hivemind
20:45.37OluapPlayerBut they're currently being hunted down by the Bisistar
20:46.11dino82_No more Grox in Cyrannus
20:46.16dino82_the Grox are a dying race...............
20:46.21dino82_threatened for extinction
20:46.33OluapPlayerThey weren't Grox to begin with
20:48.33dino82_yeah but still, they were a bit of Grox/Borg like
20:48.41dino82_less and less biomechanical being in the galaxy n ow
20:49.37OluapPlayerThey were, but they were not the same race as the Grox
20:51.44dino82_true
20:51.47dino82_poor Q-Grox
20:51.50dino82_they are in choas now
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20:55.26DrodoEmpireHi everyone\
20:55.27dino82_hi
20:55.33Groxkiller98What's the common galactic currency? We using Sporebucks?
20:55.35The_RandomnessHello
20:55.43DrodoEmpireThere is none
20:55.45Groxkiller98Hai.
20:55.50Groxkiller98Okay.
20:56.12DrodoEmpireI imagine some such as the French Franc would be commonly-accepted though
20:56.27DrodoEmpireThe Drodo Colonial Dollar in the Neutrality Zone of the Quadrants as well
20:56.52dino82_the Rambo recognise the coin as well though have theor own valuta as well
21:00.40ImperiosA variety
21:00.51ImperiosGroxkiller98: Where is your empire?
21:01.02Groxkiller98Andromeda.
21:01.12Imperiosdino82_: I am not sure if the term "valuta" exists in English, they just say "currency"
21:01.18ImperiosGroxkiller98: Andromedan Exchange Units
21:01.23DrodoEmpireYeah
21:01.24Groxkiller98kk.
21:01.47Groxkiller98Thanks.
21:02.04DrodoEmpireThere *was* at one point some mentions of the SporeBuck, but I think that it was either quietly retconned or eventually ceased to exist as a currency
21:02.13GhelaeImperios: Yes, you're misunderstanding the CMF there. If you were subtracting the density at -x from the density at x, you'd end up with zero, but that's not what you do for any situation I can think of.
21:02.31ImperiosRight, let me try to think this over
21:02.34DrodoEmpireMostly because, you know, there was no known central bank or institution to give it value :p
21:02.43DrodoEmpireNor do we know if its value was fixed to some commodity
21:02.47dino82_@Imperios: Whoops, we call that at home like that :D
21:02.55dino82_I think it is an old word in English but not sure
21:04.37DrodoEmpireThe currency of the mainland Drodo Empire is the Imperial Credit, in case you're wondering GroxKiller
21:05.05DrodoEmpireBut, perhaps ironically, its overshadowed in the places outside of the Milky Way by the DCD, which is the currency of its colonial territories
21:06.03Imperiosdino82_: Same here
21:07.18dino82_Oh!
21:08.42ImperiosGhelae: Okay, if one thinks about it, the density should be something like the double normal density of something
21:09.09ImperiosAs the CMF, being a substraction, changes on two sides
21:10.08GhelaeThe CMF is an integral, not just a subtraction of densities.
21:10.23ImperiosYeah that's what I am saying
21:10.42ImperiosAnd the density, being the derivative, is literally the "change" of the CMF
21:11.01GhelaeCDF*
21:11.16ImperiosOWait yes, confusion
21:11.17ImperiosCDF yes
21:11.31ImperiosWE just call it the distrubution function in Vodkaland
21:12.19GhelaeYes, the density in terms of the CDF is how much the CDF increases as the variable increases.
21:13.05ImperiosSo, as we found that the CDF is basically a substraction of two other CDFs of function opposite to each other, the change goes thusly: as the variable increases, the first CDF from which the second is substracted increases, while the second decreases
21:13.17ImperiosSo it ought to be something like "some CDF * 2"
21:13.23ImperiosBut I can't figure my head around the actual formula
21:13.43GhelaeThe CDF itself will always attain a maximum of 1.
21:14.30ImperiosOh wait, yes
21:20.08ImperiosGhelae: What I do not get is where the trail of thought breaks
21:20.23ImperiosDensity is derived from CDF
21:21.00ImperiosThe CDF is a difference between two other CDFs
21:21.13ImperiosA derivative of a difference is a difference of derivatives
21:21.37ImperiosSo the density should be the difference of other densities
21:21.45Imperios...So what here is WRONG
21:24.54Ghelae"The CDF is a difference between two other CDFs" - what you're really describing there is that the CDF is a definite integral of the density.
21:25.56GhelaeWhile the density is just as much the derivative of the indefinite integral.
21:26.24ImperiosNo, no, that is not what I mean
21:27.31ImperiosThe random variable is the area of a circle with the radius equal to another random variable
21:28.45GhelaeSo now I see why you wanted to find the density of the variable squared.
21:29.00ImperiosIts CDF, "X is less than Pi * x squared", is therefore a difference of two other CDFs derived from that variable
21:29.05ImperiosI think we found that out earlier
21:30.21GhelaeSure; its the CDF for the radius r being -x < r < x.
21:30.42ImperiosHachiman: https://www.youtube.com/watch?v=EtqioaOSx6I
21:30.43GhelaeSo if the CDF function is F, then it's F(x) - F(-x).
21:30.55ImperiosYeah that is it
21:31.53ImperiosThough the x here is in itself a tiny formula obviously
21:32.26ImperiosFor the area to be less or equal to x, the radius has to be sqrt(x/pi)
21:32.30ImperiosOr something
21:32.38Imperios|x|/pi
21:34.04ImperiosWell, as in, - this < r < this
21:34.07GhelaeFrom where you said "X is less than Pi * x squared" we're using x to mean a radius while X is the area. So X < pi*x^2 -> x > sqrt(X/pi).
21:34.09Imperios*<=
21:34.49GhelaeOr x < -sqrt(X/pi).
21:35.00Ghelae|x| > -sqrt(X/pi)
21:35.42GhelaeAnyway, we have the CDF for "X < pi*x^2" is the CDF for the radius F(x) - F(-x).
21:35.50GhelaeWhat next?
21:36.27ImperiosWait wait wait, before we go, you sure the radius has to be GREATER than the square root?
21:36.42ImperiosIt has to be less than the positive square root but greater than the negative one I think
21:36.46ImperiosWithin that "window"
21:37.56Ghelaex is the limiting value for the radius r = sqrt(X/pi).
21:38.16Ghelaethe maximum value*
21:38.51GhelaeSo we're saying that r is the radius so that X = pi*r^2, and we want this to be less than pi*x^2.
21:38.51ImperiosRight
21:39.27ImperiosSo we move to density
21:42.54GhelaeThe density f is the derivative of F such that f(r) is the derivative of F(r). But it seemed like you were saying f(pi*r^2) = f(x) - f(-x) for r < x.
21:45.20*** join/#sporewiki Ghel (56b08d0a@gateway/web/freenode/ip.86.176.141.10)
21:45.21*** mode/#sporewiki [+o Ghel] by ChanServ
21:45.22Ghel~seen Ghelae
21:45.25infobotghelae is currently on #cyrannus (6h 54m 43s) #sporewiki (6h 54m 43s). Has said a total of 42 messages. Is idling for 2m 31s, last said: 'The density f is the derivative of F such that f(r) is the derivative of F(r). But it seemed like you were saying f(pi*r^2) = f(x) - f(-x) for r < x.'.
21:45.56ImperiosGhel: The density of the random area
21:46.09ImperiosThe X
21:46.21GhelYes, with X = pi*r^2, r being the random radius.
21:47.19ImperiosAlright
21:47.25ImperiosYes, it makes sense
21:51.21ImperiosNOOOOOO
21:54.01ImperiosCome back Ghelaway
21:54.03ImperiosI NEED YOU
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21:57.55TheDinoHunterHello!
22:01.58MonetHello
22:07.36*** join/#sporewiki Quark8 (49c685a7@gateway/web/freenode/ip.73.198.133.167)
22:07.37dino82_bye bye
22:07.39Quark8Hello.
22:07.45*** part/#sporewiki dino82_ (d42988b2@gateway/web/freenode/ip.212.41.136.178)
22:07.58TheDinoHunterHello
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22:23.14MonetEbening
22:23.48GhelHello.
22:24.50Quark8Hi.
22:26.47ImperiosHiyas
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22:28.07DrodoEmpireBack
22:28.20GhelHello.
22:29.32ImperiosGhel: Right, so what about the density then?
22:29.40ImperiosSorry if I am being needy or something
22:29.43GhelImperios: If you want the density function of the area... let's call that g(X). Clearly, g(X) = f(x) + f(-x).
22:29.56ImperiosThat makes sense
22:30.04Ghelthinks if he was going to say something else
22:30.08ImperiosHow would one explain that though?
22:30.45Ghelf(r) + f(-r)*
22:31.34GhelThe explanation is that g(X) is the probability of obtaining X = pi*r^2, and this is a result of either obtaining a radius of either r or -r. Hence it is the probability of obtaining either r or -r, which is f(r) + f(-r).
22:32.15GhelYou may have to normalise it again, dividing it by two.
22:32.40GhelAlthough that doesn't seem to fit the rest of the explanation.
22:32.41ImperiosYou sure?
22:33.45GhelAh. f(r) as a density function includes both positive and negative values of r. So the division-by-two is going to come in there.
22:35.40GhelBut this is still a function of r, not a function of X.
22:36.37Ghelg(pi*r^2) = 1/2 (f(r) + f(-r)). So I would think g(X) = 1/2 (f(sqrt(A/pi)) + f(-sqrt(A/pi))).
22:36.45GhelX/pi*
22:37.36GhelOr in an easier-to-read notation, g(X) = 1/2 (f(r) + f(-r)) where r = sqrt(X/pi).
22:40.14GhelHmm. Except f(r) = f(-r). So what you've really got there is, quite simply, g(X) = f(sqrt(X/pi)).
22:40.22*** join/#sporewiki Wormy_ (5f937199@gateway/web/freenode/ip.95.147.113.153)
22:40.26GhelHello.
22:41.08ImperiosWormy_: We are drowning in probability theory now
22:41.22ImperiosI am not sure why noone in the IRC has complained or asked us to move to PMs
22:41.23Wormy_Hi
22:41.31ImperiosThey must secretly enjoy my suffering
22:41.49Wormy_I've been suffering but with relational databases
22:42.34Wormy_Also need to progream a tautology checker next week
22:42.41ImperiosI've drawn two pretty 1920s girls while working on this
22:42.53ImperiosThat's an accomplishment
22:43.33OluapPlayerdats not maths
22:43.53GhelSo I think we can cut out most of the intermediate reasoning.
22:44.01ImperiosIt's something I do to cool my brain off
22:44.13ImperiosMostly got inspired by Alyona's 1920s-ish bob cut
22:44.27GhelIn fact, it's probably better to think of the density for the normal distribution as being a function of r^2, not r, since (when the mean is zero) it's r^2 that appears in the expression.
22:44.33Imperios...So I basically drew a slightly skinnier Alyona
22:44.51ImperiosThat's what I am doing
22:44.52GhelSo just replace r^2 in the function with its equivalent, X/pi, to get the density function for X.
22:45.12MonetMy silence is from writing essays for most of today.
22:45.16Gheli.e. g(X) = f(sqrt(X/pi)). Far simpler than all of the text that I just wrote.
22:45.40ImperiosRight, remind me, we decided that X is the area, right?
22:45.59GhelYes.
22:46.35ImperiosYes, that correlates with my writings, so everything is okay thus far
22:47.18ImperiosThe density of the  area wouldn't just be ONE density of the radius, right?
22:47.25ImperiosIt's going to be two
22:49.05GhelWhy?
22:50.08GhelRemember, while the distribution of the radius is normal, the distribution of the area need not be. And we've accounted for that by having X instead of r^2 in the expression for the density function.
22:50.45Wormy_Impy:  I'm curious as to why you are studying probability in Linguistics
22:50.46ImperiosYeah makes sense
22:51.09Wormy_Where its applied, etc.
22:51.21ImperiosWormy_: One of the tasks of computation linguistics is authorship verification
22:52.08ImperiosOne would need to look at the statistics of vocabulary used in texts to determines their authorship, amongst other things
22:52.23Wormy_Ah, so it can compare the similarity of text between authors?  https://www.aclweb.org/anthology/R/R15/R15-1012.pdf
22:52.29Wormy_Right
22:52.32ImperiosApparently so
22:52.44Wormy_Basically, how Turnitin works
22:52.48ImperiosAccording to our attribution tutor, one of the MOST famous Russian poets might have been a fraud
22:53.10Wormy_This program that compares student work to check for plagiarism
22:53.54Wormy_Well, he's took it to the grave now, at least
22:55.11ImperiosAnd now we are going to dig up all the facts about him and the attribution of his texts might as well be the final nail in his coffin
22:55.49ImperiosThe poet in question is renowned in Russia as a proponent of civil liberties and defender of the people, as well as a master of romance poems
22:56.25ImperiosHOWEVER if one looks at his biography it turns out he actually had quite a lot of serfs and, on occasion, bought and sold them, often separating families as the result
22:56.30ImperiosAs well as losing them in bets
22:56.33Wormy_But would it have been fraudulent in his day?
22:56.51ImperiosBasically what is suggested is that he utilised the work of other poets that worked in his name
22:56.54ImperiosGhostwriters
22:57.08Imperios*who worked under
22:59.37ImperiosAlso, our tutor claimed that despite the fact that "his" works praised the Russian women, there are some letters that imply that he was in a homosexual relationship with a younger poet whom he apparently used for work
22:59.50ImperiosBut that might just be our tutor being creepy, he's like that
23:00.20MonetMAybe the man was bisexual
23:00.21ImperiosHe frequently laments the lack of women on his course and makes dick jokes occasionally
23:00.48Wormy_lol
23:00.58GhelI'm going to go now; bye!
23:01.01Wormy_bye
23:01.01ImperiosBye!
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23:12.45DrodoEmpireHi
23:13.45Liquid_InkHey
23:15.25ImperiosOkay the second one was easy
23:15.25ImperiosYay
23:30.39Wormy_hi
23:32.57OluapPlayerhttp://spore.wikia.com/wiki/Fiction:Time_Lords todays's ayy lmao goes to this
23:37.38HachimanFucking ripped straight from Doctor Who lmao
23:42.26DrodoEmpireOh dear lol
23:59.25Charles_Murray"All of time and space"

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