Search found 156 matches

by Farabor
Tue Mar 12, 2013 1:43 am UTC
Forum: Mathematics
Topic: Direction to study for Lambert W function?
Replies: 8
Views: 3854

Re: Direction to study for Lambert W function?

I followed those steps. Mostly it's the actual W function itself I don't really grok. I mean, I read the definition, but....
What field of mathematics does it originate from?
by Farabor
Tue Mar 12, 2013 12:03 am UTC
Forum: Mathematics
Topic: Direction to study for Lambert W function?
Replies: 8
Views: 3854

Direction to study for Lambert W function?

So, I've been annoyed by the 2^x=x^2 problem for a long time. Today I found in a book (Mathematical Constants), that this problem has been solved, and the non trivial solution can be described pretty simply using the Lambert W function. I've seen the definition of it, the thing is....I don't really ...
by Farabor
Fri Mar 01, 2013 3:03 pm UTC
Forum: Mathematics
Topic: Discontinituous increasing function?
Replies: 20
Views: 3845

Re: Discontinituous increasing function?

Thanks, I didn't think so either, but that was by pure intuition...wanted a little better concrete grasp. Now hopefully when I enter grad school, I'll have a better feel for real numbers and counting :).
by Farabor
Fri Mar 01, 2013 7:33 am UTC
Forum: Mathematics
Topic: Discontinituous increasing function?
Replies: 20
Views: 3845

Discontinituous increasing function?

So, a random question occurred to me while studying for a modern analysis exam....posed it to my professor, and he was unsure. (This isn't homework, just me being idly curious!). Is it possible to have a function that is defined and increasing on an interval (Closed or open, not sure if it'd matter)...
by Farabor
Wed Feb 27, 2013 5:41 am UTC
Forum: Individual XKCD Comic Threads
Topic: 1179: "ISO 8601"
Replies: 379
Views: 98726

Re: 1179: "ISO 8601"

Quick, someone post the xkcd about "There's too many standards, we need a universal standard!" Standard++ result. I would, but I don't do html or research :).
by Farabor
Fri Feb 22, 2013 3:10 pm UTC
Forum: Mathematics
Topic: Homework help: Mathematical problem solving-number theory
Replies: 8
Views: 1625

Re: Homework help: Mathematical problem solving-number theo

Thanks everyone, I have a solution! For those who are interested, I"ll put it behind a spoiler of my own :) Letting x=z, I get z^n+y^n=z^(n+1), y^n=z^n(z-1), y=z*(z-1)^(1/n). This means I need z to be one higher than a perfect power of a, so constructively, I let...
by Farabor
Thu Feb 21, 2013 6:28 am UTC
Forum: Mathematics
Topic: Homework help: Mathematical problem solving-number theory
Replies: 8
Views: 1625

Re: Homework help: Mathematical problem solving-number theo

Yeah, I saw that trivial solution at n=1. I think your hint did it. Does this work? Let x=z, so we have z^n+y^n=z^(n+1), or y^n=z^(n+1)-z^n, or y^n=z^n(z-1), take the nth root of both sides and we get y=z*(z-1)^(1/n). So it works for any numbers y and z where z-1 is a perfect power of N and y is z*(...
by Farabor
Thu Feb 21, 2013 6:06 am UTC
Forum: Mathematics
Topic: Homework help: Mathematical problem solving-number theory
Replies: 8
Views: 1625

Homework help: Mathematical problem solving-number theory

Well, for the first time in a long while I've actually had trouble with my math homework. This is for a 4000 level mathematical problem solving class, we're in the number theory chapter....but really only the basics of number theory in order to get practice solving problems. I've got 3 problems I&qu...
by Farabor
Sun Jul 01, 2012 4:27 am UTC
Forum: Individual XKCD Comic Threads
Topic: 1075: "Warning"
Replies: 112
Views: 30005

Re: 1075: "Warning"

This was my dad's approach to drivers ed: "Me letting you drive is like me handing you a gun". It's certainly true, but not much for establishing confidence. I was told almost the exact same thing about puberty. Accidents with guns cause death. Accidents with puberty cause life. Remember,...
by Farabor
Fri Jun 29, 2012 5:25 am UTC
Forum: Individual XKCD Comic Threads
Topic: 1075: "Warning"
Replies: 112
Views: 30005

Re: 1075: "Warning"

Alt: Also possibly several miles beyond that.


I think its more like a handful, don't you?
by Farabor
Wed Jun 20, 2012 7:34 am UTC
Forum: Individual XKCD Comic Threads
Topic: 1071: "Exoplanets"
Replies: 176
Views: 49844

Re: 1071: "Exoplanets"

It's okay, according to the alt text, we're still safely halfway away from the Matryoshka limit.
by Farabor
Tue Dec 06, 2011 6:54 pm UTC
Forum: Individual XKCD Comic Threads
Topic: 0986: "Drinking Fountains"
Replies: 115
Views: 25116

Re: 0986: "Drinking Fountains"

Y'know, this comic just reminded me of how little I truly grok DHMO.

(Sheesh, this far into a water XKCD thread, and neither term came up? For shame!)
by Farabor
Fri Sep 02, 2011 8:56 am UTC
Forum: Individual XKCD Comic Threads
Topic: 0946: “Family Decals”
Replies: 195
Views: 85910

Re: 0946: “Family Decals”

This reminds me of the recent Daily Show bit where they handle the horrible STD known as "children", that sap your time, energy, money, etc.....
by Farabor
Wed Aug 17, 2011 7:39 am UTC
Forum: Individual XKCD Comic Threads
Topic: 0939: "Arrow"
Replies: 87
Views: 22835

Re: 0939: "Arrow"

So, I've often heard of the second law of thermodynamics implying that the arrow of time cannot be reversed....

Does this mean that that in a universe ruled by boomerang analogies would be anti-entropic? Could this be an answer to the Final Question?
by Farabor
Mon Aug 01, 2011 9:21 am UTC
Forum: Individual XKCD Comic Threads
Topic: 0932: "CIA"
Replies: 79
Views: 65375

Re: 0932: "CIA"

The potential to post misinformation on the official site of a government agency is less dangerous than the ability to post misinformation on a webcomic site (even an awesome one)? It's even easier to post misinformation on Wikipedia and the world has yet to end (as far as I can tell). That's an od...
by Farabor
Thu Jul 28, 2011 7:39 am UTC
Forum: Individual XKCD Comic Threads
Topic: 0930: "Days of the Week"
Replies: 126
Views: 28688

Re: 0930: "Days of the Week"

As a non visual math geek, this comic was torture for me. I already have a problem with polar graphs, and the tiny text and colors and density...yeah. On the plus side, the nice person who made it into a legend and solid line format allowed me to get a bit of understanding from it! So yeah.....Love ...
by Farabor
Fri Jul 22, 2011 8:08 am UTC
Forum: Individual XKCD Comic Threads
Topic: 0928: "Mimic Octopus"
Replies: 166
Views: 47586

Re: 0928: Mimic Octopus

As a new convert, I must interject into this discussion with this radical extremist rant.

Down with pi! Long live Tau!

I now return you to your regularly scheduled forum discussion.
by Farabor
Thu Jul 21, 2011 3:11 am UTC
Forum: Mathematics
Topic: order of points on a triangle
Replies: 3
Views: 1006

order of points on a triangle

So, while I'm currently taking a "Modern Geometry" class, this isn't a question for the class, it instead arose from my curiosity (And unfortunately my "professor" is useless for answering interesting questions). Fortunately, there's this forum! So, start with a triangle ABC. Dra...
by Farabor
Wed Jul 20, 2011 5:06 am UTC
Forum: Individual XKCD Comic Threads
Topic: 0927: "Standards"
Replies: 157
Views: 34730

Re: 0927: "Standards"

Coffee wrote:"This ball isn't as good as the one they had last year."
"What did they have last year?"
"Standards."


Ahh, you magnificant bastich.....now I miss Firefly again!
by Farabor
Wed Jul 13, 2011 4:20 pm UTC
Forum: Individual XKCD Comic Threads
Topic: 0923: "Strunk and White"
Replies: 94
Views: 25009

Re: 0923: "Strunk and White"

Thanks Jordan! Will play with, though I suspect my fandoms are so tiny that it's not going to work too well for me... I'm afraid you've fallen foul of the canned response brigade. Fanfic's been mentioned? Point out how it's all crap, repeatedly. After all, enough of it's crap that it's almost impos...
by Farabor
Wed Jul 13, 2011 4:00 am UTC
Forum: Individual XKCD Comic Threads
Topic: 0923: "Strunk and White"
Replies: 94
Views: 25009

Re: 0923: "Strunk and White"

On another stylistic question about the comic...

When addressing a letter to "Internet", is "Dear" really the most appropriate salutation? Discuss!
by Farabor
Mon Jul 11, 2011 12:45 pm UTC
Forum: Mathematics
Topic: How do you explain 1/infinity != 0?
Replies: 17
Views: 7426

Re: How do you explain 1/infinity != 0?

Which reminds me of "the shortest math joke ever": "Let epsilon be less than 0...."
by Farabor
Mon Jul 11, 2011 12:34 pm UTC
Forum: Individual XKCD Comic Threads
Topic: 0923: "Strunk and White"
Replies: 94
Views: 25009

Re: 0923: "Strunk and White"

So....are these the bastiches who demonized the use of the passive voice?

The many students who have suffered this injustice suffered from this atrocity!
by Farabor
Wed Jul 06, 2011 11:12 am UTC
Forum: Mathematics
Topic: Mental Digit Memory
Replies: 12
Views: 2310

Re: Mental Digit Memory

I recently did a report on the history of math in India, and they had several really good methods of doing exactly what you're suggesting, in sanskrit. Sanskrit is more suited to it than English, but here's a basic way of doing it with English: Assign 2 digits to each consonant, with one consonant (...
by Farabor
Sat Jun 18, 2011 9:38 pm UTC
Forum: Individual XKCD Comic Threads
Topic: 0913: "Core"
Replies: 95
Views: 20930

Re: 0913: "Core"

Hughes wrote:
fuzzycuzzy wrote:Hello, I'm a music major, and I study that (pointing to your soul)

Yes. Yay. Music majors unite!


You xkcd-reading music majors had BETTER have read Godel, Escher, Bach!

(Although, in reality, every XKCD reader should read GEB)

((Strike that, everyone should read GEB)).
by Farabor
Fri Jun 10, 2011 4:27 am UTC
Forum: Individual XKCD Comic Threads
Topic: 0910: "Permanence"
Replies: 121
Views: 33086

Re: 0910: "Permanence"

This reminds me of when I named my computer. I really should have consulted someone who knew Latin. I named it Machina Ex Deus, which, from what I understand, is just Deus Ex Machina with different emphasis. Anyone know how to say "the Machine from God"? I probably should have just called...
by Farabor
Thu Jun 02, 2011 2:32 am UTC
Forum: Computer Science
Topic: Countereintuitive google results
Replies: 5
Views: 3900

Re: Countereintuitive google results

It's worth keeping in mind that if the number Google is giving you is over about a thousand, then it's probably meaningless ... Alright, did some more searching to mostly answer my own question: this story( And the links into deeper stories) explain the well known phenomenon. http://searchenginelan...
by Farabor
Thu Jun 02, 2011 1:57 am UTC
Forum: Computer Science
Topic: Countereintuitive google results
Replies: 5
Views: 3900

Re: Countereintuitive google results

It's worth keeping in mind that if the number Google is giving you is over about a thousand, then it's probably meaningless ... That very clearly explains my results.....now, I checked out the API tool that he mentions in that blog, but it doesn't suit my needs. Anyone know of a simple webpage or A...
by Farabor
Wed Jun 01, 2011 11:12 pm UTC
Forum: Computer Science
Topic: Countereintuitive google results
Replies: 5
Views: 3900

Re: Countereintuitive google results

Interesting theory, been playing around with numbers based on that. I'm not sure on my algebra/ratios here, but I'm _pretty_ sure it leads to the implication that XKCD is at least 1/3rd of the entire internet (Depending on the order of division). Here's my math: My results for the terms indicated a ...
by Farabor
Wed Jun 01, 2011 10:14 pm UTC
Forum: Computer Science
Topic: Countereintuitive google results
Replies: 5
Views: 3900

Countereintuitive google results

First, short version of problem: Adding -xkcd to google searches triples results, wtf?? -------------------------------------------------------------------------------------------------------- Inside this part will be the explanation of what led me to this problem and exactly what results I found be...
by Farabor
Wed May 04, 2011 6:52 am UTC
Forum: Individual XKCD Comic Threads
Topic: 0894: "Progeny"
Replies: 97
Views: 18427

Re: 0893: Progeny

Not to be pedantic, but a human can easily compute said digit of pi also, at least if we're talking in hexadecimal or binary. Not sure if anyone's come up with a simple formula for base 10 yet (But a simple google search for "calculate digits of pi" will show plenty of simple ways to compu...
by Farabor
Mon Apr 25, 2011 5:15 am UTC
Forum: Individual XKCD Comic Threads
Topic: 0890: "Etymology"
Replies: 170
Views: 29427

Re: 0890: Etymology

You may be missing the point here... Sure, there may be falcon-equivalents in the Star Wars Galaxy that the ship is named for....but how likely is LUKE to know what one is? I mean, he comes from a freaking desert planet! I certainly don't know the names of all the weird species that are on my own fr...
by Farabor
Thu Apr 07, 2011 4:21 am UTC
Forum: Mathematics
Topic: Theorem being undecidable question
Replies: 8
Views: 1261

Re: Theorem being undecidable question

Hmm...even more interesting. Are there any books on the "popular math" level (like "popular science" books to explain science concepts to the non scientists) on logical systems that don't include modus ponuns? My math background pretty much only goes up to the basics of discrete ...
by Farabor
Thu Apr 07, 2011 3:22 am UTC
Forum: Mathematics
Topic: Theorem being undecidable question
Replies: 8
Views: 1261

Re: Theorem being undecidable question

Interesting....thanks Yakk, that exactly answers my question. Now to hope I can eventually get to be a real mathematician.

(Currently back in college in 33 to get my math education 6-12 degree and teach high school math, but I hope to return to my true love of abstract math in the future)
by Farabor
Thu Apr 07, 2011 12:11 am UTC
Forum: Mathematics
Topic: Theorem being undecidable question
Replies: 8
Views: 1261

Re: Theorem being undecidable question

Let me clarify my question...I was presenting the ZFC+CH and ZFC-CH as an example of the concept, I wasn't actually asking about those particular questions. Restating it without those references to make it clear just what I'm asking about: Given a consistent formal system X and a statement Y written...
by Farabor
Wed Apr 06, 2011 9:53 am UTC
Forum: Mathematics
Topic: Theorem being undecidable question
Replies: 8
Views: 1261

Theorem being undecidable question

I've got a background in abstract algebra, but I went many years without it...now I"m back in college and reading some popular math texts. Anyhow, I recently encountered in a math book that said that in standard set theory with the axiom of choice included (ZFC), the Continuum Hypothesis (CH) (...

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