Derivatives are also defined in terms of limits. A formal treatment of differentials is probably a bit much to try to explain if he's in intro calc.
For real-world calculations, sure, at some point rounding to zero makes sense. But it is always rounding, and in a formal mathematical treatment, it always introduces error (provided we're working with finite numbers of zeroes). It's actually perfectly valid to use infinities in calculation of areas - in fact, there are geometric objects with finite volume and infinite surface area - see Gabriel's Horn.Well, what you say is true. Perhaps, as you said, I worded something wrong. Which I guess when discussing infinities and things like that, wording is very important to properly express what you were trying to say. I think I probably did mean length and not value.
As for the second part, once you have the infinite amount of zero's in front of your decimal value, for calculations that aren't really meant to take into consideration infinities and such (like calculating volume, or length, or area etc.) wouldn't the value be zero. I understand that it gets infinitely smaller because you can always just add another zero, then add another one, then another one, and so on, but for calculations would you represent it as zero?
I'm off to class, will be back later to fight more righteous battles for mathematical rigor.
Dontrike/Shadow Priest/Black Cell Faction Friend Code - 5172-0967-3866
Dontrike/Shadow Priest/Black Cell Faction Friend Code - 5172-0967-3866
Okay, incredibly hard to type on a phone post is a go!
The show, although it has a feminine theme, is not actually a "show for girls.". Most of the jokes are actually pretty ententertaining, and the characters are fairly believable, you can almost relate to each one of them. I would compare this show to Adventure Time, or Spongebob in terms of entertainment. If you are still curious, give the show a chance, watch a few episodes:
G'night, I'm off... feeling down again for some reason...
Maybe it'll contain some sort of hints as to future plans? It's a frickin' interview with BRONIES, who knows what kind of crazy shizz can happen? They could send some assassins to threaten him to give out exact details of every episode for the entire show's life if they so wanted.
FC: 4441-9848-5442 (If you want any gen 1-6 starter, PM me or ask on steam)
you know the feeling when you bash a family member, like your mum or dad. then you come home and they do something awesome for you? or really nice and sweet, then you feel like the biggest, must ungrateful pick on this earth but they don't know it? i had that. Well, almost. i had a dream about it, about me mum been evil (she's the best mum ever) and it hasn't really left my mind, lingering at the back throughout the day. So when she did this for me i felt like a dick because i has started to think them thoughts as true. =(
but they're gone now, and i hugged my mam <3
http://www.youtube.com/watch?v=eOrNd...eature=feedlik Looks so epic ... so fucking epic
Stolen ... from elyssia .... mad elyssia?
Dontrike/Shadow Priest/Black Cell Faction Friend Code - 5172-0967-3866
right right, that discussion about how we can relate to ponies that I sort of missed but feel obligated to contribute to now.
Rainbow Dash: I can relate to her because I personally hate losing. She is a competitive pony to say the least and I see that aspect of her in myself. She also has this certain bluntness that I can respect.
Rarity: As for fashion, I cannot relate. But as for being an artist I can. Not in the sense of drawing or sculpting something, but in the sense that I am a musician. Obviously the two things aren't completely related, but they share some similarities. And I also just like her character.
Pinkie Pie: She is insane. In a good way though. And I think that somewhere in me there is a little insanity that pops out every now and again, though it tends not to be the bad kind. Oddly enough, I am a very introverted person and would probably not like Pinkie Pie if I were to meet her. I tend not to like loud talkative people.
Fluttershy: Her name says why I can relate to her. I am shy. Very, very shy. So I could immediately relate to how she acted and how she was portrayed. When she finally reached her limit and went nuts on the dragon, I could see myself doing something very similar if I was provoked enough.
Twilight Sparkle: Enjoys a good book, I can relate. Though she may enjoy too many books for my taste. She is quite studious, which is something that I envy, since I am not. I can also relate to the way she was thrust into ponyville and told to make friends. I have moved 7 times in less than 18 years, so I have had to readjust my life constantly. I knew what it felt like to be the new person in town.
Apple Jack: I actually don't really like Apple Jack that much. Could be because she is based off of southern culture, and I try to distance myself from southern culture, idk. Though I can relate to her stubbornness. None of you have ever been in an argument in which I was determined not to lose, but to say the least, I am adamant in my positions. Other then that, I don't see a whole lot in her.
so yah, ponies are awesome.