Calculus? If it weren't for calculus, people might have spent extra time looking for a better-than (n log n) general purpose sorting algorithm solely because it wasn't easy to show that (log (n!)) grows equally as (n log n) grows. And that is absurdly trivial using calculus.
Calculus? What if you need to make an application that keeps track of chess-style ratings? You'll have a much better understanding of what you're doing if you've learned calculus.
I'm reminded of kids in algebra I, asking "How are we going to use this?"
If you couldn't tolerate the math, you were in the wrong major anyway.
Well, you know, it might not be sexism. How many famous female composers for piano do you know of? I've been playing the piano for 13 years, and I can't think of a single female composer whose songs I have played, either.
It doesn't sound like bragging; it sounds like a random factoid to me. Who would brag about having never taken a pill?
The Video Game Pianist has never:
Played Chopsticks on the piano, or Hot Cross Buns
Learned Beethoven's Fur Elise
Taken a pill
Got a headache
Smoked a cigarette
Tasted alcohol
Drank coffee
Broken a bone
Driven a car
Bought anything with cash over $25
Torn a muscle
Turned on a radio to listen to music
Watched the Superbowl
Got in a fist-fight
Played a song composed by a female
Gone to Six Flags Magic Mountain
Got a sunburn
But what is this "intuition" of which you speak? Intuition might be a fancy term for describing what happens when humans recognize patterns based off of past experiences. Unless you have something you can point to and say "THIS is intuition, and computer programs can't exhibit it for this reason," I don't see any reason why they could not.
This thread tends to confuse provability with true, a distinction that Godel clarified.......The continuum hypothesis is that the power set of the integers is equal to the number of points on a line.
You seem to be the one creating the confusion. The continuum hypothesis states that there exist no sets whose cardinality is between that of the integers and that of the real numbers. Both the continuum hypothesis and its negative have been shown to be consistent with the other axioms of mathematics.
It is easy to prove that the power set of the integers and the real numbers have the same cardinality. Easy to understand the proof, anyway.
The only company I can think of that is in existence today that was in existence 200 years ago is the Hudson Bay Company, and right now I believe it's struggling and may not last even another decade.
Come on, it's the basic Pigeonhole Principle. Computers Science students should have learned this in Discrete Mathematics. If you didn't, it says this: If you've got 10 holes and 11 pigeons in them, then one hole has two pigeons.
It probably works for the HP48GII as well, considering that the 48GII is like the 49G+ and is not really part of the 48 series. But correct me if I'm wrong.
Well, considering that the well-adapted are the ones that get to reproduce, the average result of reproduction will be that better offspring occur. And given a long enough time, that offspring might be pretty darn advanced. It certainly wouldn't go the opposite direction. Since the direction of modification goes only up, you'd probably eventually get a bunch of creatures that are insanely-well adapted to their environment. They'd do this in different ways: by being fast, by being strong, by being hard to see, by seeing very well, by flying... Once creatures start existing, barring catastrophe, how could the process go any other way?
Now, evolution into an intelligent species such as humans might be unlikely, but these billions of species reproducing for billions of years even managed to produce the works of Shakespeare!
And while evolving into humans sounds unlikely, think about this comment heard in a car:
Andy: "Whoa! Look at that license plate!"
Bill: "What? Why?"
Andy: "The sequence of letters is SZL-2855! The probability of it being that exact combination of letters an numbers is like, one in 175760000!"
But then again, the Universe may have been created thirty minutes ago. Evolution just explains what happened before then.
Of all the possible materials on the Earth, one of them is useful and you consider that evidence of God? There are zillions of useful chemicals out there, such as silicon, plastics and steel. From a cosmic variables perspective, it didn't have to be that way. But they're VERY convenient for tool-using civilizations. Perhaps even TOO convenient for a random lucky break.
Only 4000-5000 years old, glass is a recent invention, like steel, after all.
Well, the green plants are green because they reflect the green light and absorb the bluer and redder shades. Which by the above standpoint would be considered inefficient use. (But I am sure there are other good reasons for chlorophyll being the chemical of choice.)
Slashdot Mirror
Calculus? If it weren't for calculus, people might have spent extra time looking for a better-than (n log n) general purpose sorting algorithm solely because it wasn't easy to show that (log (n!)) grows equally as (n log n) grows. And that is absurdly trivial using calculus.
Calculus? What if you need to make an application that keeps track of chess-style ratings? You'll have a much better understanding of what you're doing if you've learned calculus.
I'm reminded of kids in algebra I, asking "How are we going to use this?"
If you couldn't tolerate the math, you were in the wrong major anyway.
Yeah, but the people in Microsoft's logo are dramatically obese.
Well, you know, it might not be sexism. How many famous female composers for piano do you know of? I've been playing the piano for 13 years, and I can't think of a single female composer whose songs I have played, either.
It doesn't sound like bragging; it sounds like a random factoid to me. Who would brag about having never taken a pill?
From the site:
The Video Game Pianist has never:
Played Chopsticks on the piano, or Hot Cross Buns
Learned Beethoven's Fur Elise
Taken a pill
Got a headache
Smoked a cigarette
Tasted alcohol
Drank coffee
Broken a bone
Driven a car
Bought anything with cash over $25
Torn a muscle
Turned on a radio to listen to music
Watched the Superbowl
Got in a fist-fight
Played a song composed by a female
Gone to Six Flags Magic Mountain
Got a sunburn
I see uniqueness being used as a word. Therefore, 'uniqueness' is a word.
No, I'll flame you for the repost.
The repost is pointless, since the badly formatted version gets already read first.
... "gifted" sounds moronic to my ears.
You've never heard the word "regifted"? Shame on you, non-Seinfeld watcher!
If you don't like adding new words to a language, speak latin.
But what is this "intuition" of which you speak? Intuition might be a fancy term for describing what happens when humans recognize patterns based off of past experiences. Unless you have something you can point to and say "THIS is intuition, and computer programs can't exhibit it for this reason," I don't see any reason why they could not.
This thread tends to confuse provability with true, a distinction that Godel clarified.... ...The continuum hypothesis is that the power set of the integers is equal to the number of points on a line.
You seem to be the one creating the confusion. The continuum hypothesis states that there exist no sets whose cardinality is between that of the integers and that of the real numbers. Both the continuum hypothesis and its negative have been shown to be consistent with the other axioms of mathematics.
It is easy to prove that the power set of the integers and the real numbers have the same cardinality. Easy to understand the proof, anyway.
But on something the size of the PSP, the columns are narrow either way.
Well how would you abbreviate the word mathematics?
The only company I can think of that is in existence today that was in existence 200 years ago is the Hudson Bay Company, and right now I believe it's struggling and may not last even another decade.
How about Zildjian? Started in 1623.
3.5" floppy.
Come on, it's the basic Pigeonhole Principle. Computers Science students should have learned this in Discrete Mathematics. If you didn't, it says this: If you've got 10 holes and 11 pigeons in them, then one hole has two pigeons.
To be precise, one hole has at least two pigeons.
Burning coal releases radioactivity? That's news to me.
I didn't know that "English" was defined to mean a set of proscribed spelling and punctuation rules.
It's discrimination, and it's perfectly ethical.
It probably works for the HP48GII as well, considering that the 48GII is like the 49G+ and is not really part of the 48 series. But correct me if I'm wrong.
Well, considering that the well-adapted are the ones that get to reproduce, the average result of reproduction will be that better offspring occur. And given a long enough time, that offspring might be pretty darn advanced. It certainly wouldn't go the opposite direction. Since the direction of modification goes only up, you'd probably eventually get a bunch of creatures that are insanely-well adapted to their environment. They'd do this in different ways: by being fast, by being strong, by being hard to see, by seeing very well, by flying... Once creatures start existing, barring catastrophe, how could the process go any other way?
Now, evolution into an intelligent species such as humans might be unlikely, but these billions of species reproducing for billions of years even managed to produce the works of Shakespeare!
And while evolving into humans sounds unlikely, think about this comment heard in a car:
Andy: "Whoa! Look at that license plate!"
Bill: "What? Why?"
Andy: "The sequence of letters is SZL-2855! The probability of it being that exact combination of letters an numbers is like, one in 175760000!"
But then again, the Universe may have been created thirty minutes ago. Evolution just explains what happened before then.
It isn't theft. Neither is printing a copy of Ender's Game.
It's called copyright violation.
I thought that "TextWrangler is a stripped-down version of the popular BBEdit text editor," made it obvious.
The killer evidence, to me, is that the direction of blur shown in the field stars is aligned with the motion of the wobbly contrail of the meteor.
This is because the earth rotates, and is an effect seen regularly in long-exposure photographs of the stars.
Of all the possible materials on the Earth, one of them is useful and you consider that evidence of God? There are zillions of useful chemicals out there, such as silicon, plastics and steel. From a cosmic variables perspective, it didn't have to be that way. But they're VERY convenient for tool-using civilizations. Perhaps even TOO convenient for a random lucky break.
Only 4000-5000 years old, glass is a recent invention, like steel, after all.
Oh yes. Because if your job does not give you power, your job and life worthless.
Well, the green plants are green because they reflect the green light and absorb the bluer and redder shades. Which by the above standpoint would be considered inefficient use. (But I am sure there are other good reasons for chlorophyll being the chemical of choice.)