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[Mars]

I don't know if "help" questions are the spirit of this thread, but here goes.

In my Grade 12 math class there's a bonus question which asks me to find what the intersection of y= (1/3)^x, y = log(base 1/3)x, and y=x is. I tried doing 1/3^x = log(base1/3)x, but that seems like a dead end. I'm sure it's a pretty obvious solution, but I can not see it.

Any help would be appreciated!

 

[Mars]

Nothing? Even a nudge in the right direction would help

 

[MilesWebber]

Yup I noticed that song was not in the OST when I got it. you can get the song from Arcade Fires - "Funeral" (10 bucks on itunes), unless they remixed it for the flim.

The version in the movie (trailer) is not the same one that's on funeral. It's an unreleased acoustic version.

 

[FerranMG]

I don't know if "help" questions are the spirit of this thread, but here goes.

In my Grade 12 math class there's a bonus question which asks me to find what the intersection of y= (1/3)^x, y = log(base 1/3)x, and y=x is. I tried doing 1/3^x = log(base1/3)x, but that seems like a dead end. I'm sure it's a pretty obvious solution, but I can not see it.

Any help would be appreciated!

It's not an easy problem by any means if you want to find the analytical solution.

You have to find 3 intersection points (ie, y = (1/3)^x intersecting y = log(base 1/3)x, then y = log(base1/3)x intersecting y = x, and finally y = x intersecting y = (1/3)^x).

So what you'll have to do is to equal two expressions to find the value of x that solves the equation, and then find the corresponding y value. For example, find x such that (1/3)^x = x (the same with the other two)

Spoiler

I haven't found the answer myself, but seeing the graph it seems that the 3 graphs will intersect in the same point.
Check this graph (or this site to make the graph yourself!)

The problem is that solving (1/3)^x = x is not easy, you'll have to use the LogProduct function (or Lambert W function) to do so.
Check this wikipedia entry to see if it helps: http://en.wikipedia.org/wiki/Lambert_W_function


Sorry about the big pic, I'm at work and trying to answer in a hurry!

 

[OnPoint]

Is there an easy way to run DOS on XP?

 

[CTLance]

FerranMG, you have no clue how tempted I am to Avatar-quote you.

Is there an easy way to run DOS on XP?

dosbox. also works on pretty much everything else, including PPC Macs.

 

[Dmncnby2k9]

quick question
do all toll collectors have cars? if not how they get to work?

 

[GavinGT]

What is the function that describes the sequence {5, 1, 5, 1, 5, 1....}?

 

[Earthstrike]

What is the function that describes the sequence {5, 1, 5, 1, 5, 1....}?

4[(-0.5)^(x+1) + 0.5] + 1

 

[Fersis]

Is there a ban limit until perma ban ? Like 3 bans and you are permabanned?

Ive been banned twice (One for a Microsoft joke and another for posting a scan) so im kind of worried :/

 

[GavinGT]

4[(-0.5)^(x+1) + 0.5] + 1

Did you just think that up, or did you use a program? Thanks, btw.

EDIT: Err, that actually doesn't work....

 

[Rewrite]

Is there a ban limit until perma ban ? Like 3 bans and you are permabanned?

Ive been banned twice (One for a Microsoft joke and another for posting a scan) so im kind of worried :/

:lol Your old avatar. To answer your question, no. I think it depends on the severity of your post.

 

[FerranMG]

4[(-0.5)^(x+1) + 0.5] + 1

This is not right, (-0.5)^2 for example is 0.25 which you can easily see that breaks the pattern.

I'd have to ask if the function the OP wants is from the whole R to the set {5,1,5,1}, or from N, or Z or whatever.
But assuming it's from N (it's the easiest ), you could use 4*[((-1)^(n+1))*0.5 + 0.5] +1. Earthstrike was pretty close, but the fact that his function is from R to R adds another problem to the formula.

FerranMG, you have no clue how tempted I am to Avatar-quote you.

You like it too?

 

[Roude Leiw]

from where are these kind of avatars coming from? a lot of people are using them on gaf.

e.g.

,

....

 

[GavinGT]

This is not right, (-0.5)^2 for example is 0.25 which you can easily see that breaks the pattern.

I'd have to ask if the function the OP wants is from the whole R to the set {5,1,5,1}, or from N, or Z or whatever.
But assuming it's from N (it's the easiest ), you could use 4*[((-1)^(n+1))*0.5 + 0.5] +1. Earthstrike was pretty close, but the fact that his function is from R to R adds another problem to the formula.





You like it too?

Thanks a lot.

But how do you generate these? Just by thinking about it?

Also, I'm not sure what you mean with the R, N, Z stuff, so I'm assuming it's whatever's easiest.

 

[Kurtofan]

from where are these kind of avatars coming from? a lot of people are using them on gaf.

e.g.

,

....

That's from the Scribblenauts thread on the gaming side

 

[Ogni-XR21]

^ http://www.youtube.com/watch?v=uHdEbRDdMiI

Thanks! <3

 

[y2dvd]

My hype for Where the Wild Things Are and rewatching the trailers online has gotten Arcade Fire's "Wake Up" stuck in my head.

I'm curious about purchasing the album that has this song, but I was wondering just how the album is and what it's called?

It's easily worth picking up.

 

[FerranMG]

Thanks a lot.

But how do you generate these? Just by thinking about it?

Also, I'm not sure what you mean with the R, N, Z stuff, so I'm assuming it's whatever's easiest.

Well, you think what you want to achieve, and build something that gets you to it.
It's like writing: you know what you want to say, but you have to build a sentence with words to say it.

I always say that maths are like any other language: you have to know its grammar and its vocabulary. And then you just have to read a lot to see how other people write, what kind of sentences they use (for example, the trick of using (-1)^(n+1) is not something most of the people think about by themselves, but once you learn it is very useful).


BTW, the R, Z, N stuff are different sets of numbers.
N is the set of the natural numbers {1,2,3,4,5,...}
Z is the set of the integers {0,1,-1,2,-2,3,-3,...}
Q is the set of rational numbers, ie fractions of integers. {1/2, -1/2, 1/3, -1/3, 2/3, -2/3...}
R is the set of real numbers, ie rational numbers and irrational numbers. Irrational numbers are the ones that can't be written as a fraction of integers: Pi, e, square root of n...
C is the set of complex numbers, ie R and imaginary numbers: 1+2i, 3+7i...

I think I wrote too much already. :$

 

[Fersis]

:lol Your old avatar. To answer your question, no. I think it depends on the severity of your post.

Oh nice to hear that.

 

[Mars]

It's not an easy problem by any means if you want to find the analytical solution.

You have to find 3 intersection points (ie, y = (1/3)^x intersecting y = log(base 1/3)x, then y = log(base1/3)x intersecting y = x, and finally y = x intersecting y = (1/3)^x).

So what you'll have to do is to equal two expressions to find the value of x that solves the equation, and then find the corresponding y value. For example, find x such that (1/3)^x = x (the same with the other two)

Spoiler

I haven't found the answer myself, but seeing the graph it seems that the 3 graphs will intersect in the same point.
Check this graph (or this site to make the graph yourself!)

/picture

The problem is that solving (1/3)^x = x is not easy, you'll have to use the LogProduct function (or Lambert W function) to do so.
Check this wikipedia entry to see if it helps: http://en.wikipedia.org/wiki/Lambert_W_function


Sorry about the big pic, I'm at work and trying to answer in a hurry!

Spoiler

Thanks a lot, man! You really live up to your avatar.

 

[Earthstrike]

This is not right, (-0.5)^2 for example is 0.25 which you can easily see that breaks the pattern.

I'd have to ask if the function the OP wants is from the whole R to the set {5,1,5,1}, or from N, or Z or whatever.
But assuming it's from N (it's the easiest ), you could use 4*[((-1)^(n+1))*0.5 + 0.5] +1. Earthstrike was pretty close, but the fact that his function is from R to R adds another problem to the formula.





You like it too?

Shoot. Good point about the error in my function. I meant to do -1 like you did since of course it has the alternation between 1 and 0 for even and odd numbers. I just put the 0.5 in the wrong places.

 

[EYEL1NER]

Just wanted to ask these again for a new page...

Alright, I got another question guys...for the three months to go from Junior to Member, does it start from your join date or the date you got approved?

Also, is there anything special you have to do or does it just take a bit of time for the switch to happen? I am pretty sure I have hit three months since being approved and def three months since my join date. And I just got my 200th post. Sorry if it seems like I am being impatient, I just didn't know if the change-over was immediate.

EDIT: Also, I am leaving for the Philippines next week and was really wanting to create one of those "Hey, I'm going on vacation, guys!" threads where I could ask for people's experiences and some hot spots to hit up, that kind of of thing. There are two threads like that but they are from back in '06 it looks like. I shouldn't bump those instead of creating a thread?

 

[Kawaii]

I hope anyone can help me, I can't find the answer by Googling.

Is it possible in actionscript 3.0 to check if a certain string consists only of Letters (a-z,A-Z) and not of other characters (numbers and signs like ! / ? etc.)?

I want to have an if-statement,

if(consists only of letters)
executeSomeFunction;

I forgot my actionscript book at my room.

Thanks in advance!

 

[MIMIC]

My stupid question: would man have invented the airplane if birds (or flying creatures) didn't exist?

 

[Kurtofan]

My stupid question: would man have invented the airplane if birds (or flying creatures) didn't exist?

I guess no

 

[levious]

My stupid question: would man have invented the airplane if birds (or flying creatures) didn't exist?

why not? There aren't any animals with wheels, or that propel themselves into outer space. I would think weather curiosity would drive us to the sky even without flying animals.

Just wanted to ask these again for a new page...

unless the requirements have changed, you've already met them... you may have been permajuniored for some reason. You could PM a mod I guess.

 

[EatChildren]

Is it possible to create a listing on eBay, but set it to go live at another day and time? There's a few things I want to list but the times I want to list them I'm usually not around to do it.

 

[TacticalFox88]

What's the ideology/philosophy that says you only look at the world from an objective point of view and your subjective opinion doesn't matter only reality.

 

[Anasui Kishibe]

why do I still see completely naked men with socks on in porn? Is wearing socks during teh love really that cool? It just looks incredibly retarded to me

 

[Neverender]

What's the ideology/philosophy that says you only look at the world from an objective point of view and your subjective opinion doesn't matter only reality.

Objectivism?

 

[Tarazet]

why do I still see completely naked men with socks on in porn? Is wearing socks during teh love really that cool? It just looks incredibly retarded to me

I don't actually know, but I imagine it's because the feet are more sensitive than other parts of the body to cold, the sensation of which slows bloodflow and would interrupt the circulation to, you know.

 

[anovice]

What's the ideology/philosophy that says you only look at the world from an objective point of view and your subjective opinion doesn't matter only reality.

Could be Philosophical Realism or Objective Idealism.

Anyone remember what video this comes from?

 

[GK86]

Good wine? Stonehedge's Chardonnay, 2005.

 

[gumshoe]

Why do ghetto people keep the stickers on their hats? It pisses me off.

 

[GavinGT]

I've been having problems watching videos on giantbomb.com and other sites. After watching for about 20 minutes, the video will randomly stop. It just goes straight to the "video over; watch again?" screen. I'll have to restart Firefox and stream the video all over just to pick up watching it. Anyone know how to solve?

Why do ghetto people keep the stickers on their hats? It pisses me off.

So they can return them when they're done with them?

 

[Lost Fragment]

Is GAF randomly freezing anybody else's browser for like 5 seconds before fully loading a page?

 

[Jet Grind Radio!]

I didn't want to start a thread for this, but what's a good site that does avatar rotation? I don't want to mess with the code myself.

 

[Willeth]

Why do ghetto people keep the stickers on their hats? It pisses me off.

I've heard it's to show off that you can afford a new hat and that it's not a handmedown. They keep them meticulously clean to maintain the illusion.

 

[Striker]

I've heard it's to show off that you can afford a new hat and that it's not a handmedown. They keep them meticulously clean to maintain the illusion.

Why do people tilt and slide their cap to the sides?

 

[NinjaFridge]

How can i run Zork on Windows 7 Professional, 64-bit?

 

[CTLance]

How can i run Zork on Windows 7 Professional, 64-bit?

This is only AFAIK:

Any run-of-the-mill Z-Machine VM should do. E.g.: Frotz.

Have you tried it already, or are you just curious?

 

[Slizz]

Anyway to get rid of the watermark on Windows 7? I tried a patch but it hadn't been tested on a build over 7100. I am on 7600 anyone been able to get rid of it?

 

[CTLance]

Watermark?

 

[EYEL1NER]

unless the requirements have changed, you've already met them... you may have been permajuniored for some reason. You could PM a mod I guess.

Thanks, mang. I don't know, it says specifically in the FAQs not to PM anyone about member status ever though, so I don't know. I guess I will just wait it out and see if there is ever a change.

For my next question, since I can't create a topic: Does anyone have any suggestions for things to do in the Philippines?
I am going to see my fiancee for three weeks on Tuesday and want to have some things to do. Never been before. I will be staying in Imus, Cavite with my girl and her family the whole time, but I would like to find some tall skyscraper hotel in Manila to stay at for a couple nights with her, one with a view of the city at night. I kind of want to go to Boracay, but I am not sure of the cost for plane tickets up there. So if anyone ITT has been, what's up?

 

[Slizz]

Watermark?

In the bottom right hand corner it looks something like this:

Windows 7
Build 7600
This version is an evaluation copy

 

[Anasui Kishibe]

I don't actually know, but I imagine it's because the feet are more sensitive than other parts of the body to cold, the sensation of which slows bloodflow and would interrupt the circulation to, you know.

you know what man? That's a damn good answer

 

[NetMapel]

1) Do identical twins have identical fingerprints !?

2) How come soccer fan seemed a lot more crazy than fans of other sport ? I mean, really, they are really crazy and excited !

 

[Tntnnbltn]

Science GAF: Is there a scientific term for dead extant plant material? i.e. "[Noun] undergoes selective preservation and diagenesis upon sedimentary deposition..."


Edit: Whoo.

In biology, detritus is non-living particulate organic material (as opposed to dissolved organic material). It typically includes the bodies or fragments of dead organisms as well as fecal material.

 

[Nolimit_SS]

1) Do identical twins have identical fingerprints !?

2) How come soccer fan seemed a lot more crazy than fans of other sport ? I mean, really, they are really crazy and excited !

1) No.

2) Well they are more passionate about sport, team and players I guess. I'm one of them and I do go crazy when my team scores/wins/etc