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Applying math to real world problems... 
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#19
Jan613, 12:47 PM

P: 159




#20
Jan613, 01:41 PM

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Or more specifically Odyssey, by Magnavox. My oldest brother bought one. Mastered it in 12 seconds. Boop! ....... Boop! ....... Boop! And as for times tables, did you not see my comment on how I was an ubernerd? I sat down, during the summer, after I was told that there was more than one number base, and wrote out the multiplication tables, for all bases between 2 and 16. This was long before computers were available, and a bit of a while before I would realize that knowing binary and recognizing hexadecimal would become important tools in dealing with these demon machines, with which I. hmmm... Computers are awesome. When I got my last job, I discovered that the oldsters were using computers as if they were typewriters with TV screens. ie., They had not a clue of the inherent power of microprocessors and well written software. I went on to write several pieces of software for that job. I'm pretty sure it eliminated at least 3 positions over the years. As I've said before; "I somehow feel responsible for a bit of the unemployment problem." Or something like that.  ps. I was a genius. Mostly due to long hours of mind pleasing mental massage. It was the only thing to do as a child during our long cold rainy PNW months. Now I just sit and surf in a LayZBoy recliner, and burp once in awhile. So no, I am not a patent clerk. 


#21
Jan613, 04:46 PM

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uperkurk: you're being trolled so hard :P Notice the best humor 2012 PF award.



#22
Jan613, 05:03 PM

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"trolled so hard"? google google google Strawman! 


#23
Jan613, 07:47 PM

P: 273




#24
Jan613, 09:03 PM

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From wiki: In Internet slang, a troll (pron.: /ˈtroʊl/, /ˈtrɒl/) is someone who posts inflammatory,[1] extraneous, or offtopic messages in an online community, such as a forum, chat room, or blog, with the primary intent of provoking readers into an emotional response[2] or of otherwise disrupting normal ontopic discussion Trolls can use deception however. It is one of several tools. 


#25
Jan613, 09:08 PM

P: 273

Not drawing any conclusions or anything... ^{you undercover troll!}



#27
Jan713, 07:16 AM

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:( the worst thing about talking to people about a topic you have no clue about is you have no idea when you're being trolled :(



#28
Jan713, 01:22 PM

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2) If the laws of motion were true, they should apply to celestial objects, as well as everyday objects. 2) Using observations already made by astronomers, Newton could see if his equations matched real observations. In other words, by plugging observation #1 into his equations, did the results of his equation match observation #2. In other words, he predicted nothing (at least originally). 3) And, actually, a tape measure would have come in handy. While Newton (and Keppler) could tell you Jupiter has to be x times further from the Sun than the Earth, he had no way of telling you what either of distances (Earth's or Jupiter's) were in kilometers. (This is why "astronomical unit" is historically such a popular unit of measure.) And perhaps a great deal of his success was as much a result of DesCartes as Galileo and Keppler. It's no coincidence that two separate men 'invented' calculus within 10 years of each other shortly after DesCarte's Cartesian coordinates, etc, created the need to calculate the 'slope' of a curved graph. 


#29
Jan713, 01:38 PM

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This according to John Gribbin. On Topic. It is easy to observe changes in motion. That is why Newton developed Differential calculus, to analyze the changes in motion of the planets. To create a mathematical model you start by expressing the problem in terms of differentials, once you have a differential equation for your system you can then solve it to arrive at simple time dependent equations of motion. 


#30
Jan713, 02:20 PM

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And he did it at 26, just because of boredom during sequestration from the plague rampant in the cities. And to piss off Leibniz.
I find myself doing most calculus in physics on my graph lined notebook. Only use the computer to do tough graphs and watch Lenny do incredible physics whilst munching chocolate chip cookies. My hero. 


#31
Jan813, 03:46 PM

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As to your spinning penny, I have no interest in solving the problem, as I see little "real world" use of the answer. (How long will it take a 300 kg generator to spin down with a coefficient of friction x, radius y, length z, once motive power is removed with no load? My answer: Who cares) You might go to the physics or homework section and request guidance on how to solve the problem. Off the top of my head, you will need to know the following: Mass of the penny Initial angular velocity (Some basic knowledge of Rotational Dynamics: Halliday & Resnick, 2nd Edition, Revised Printing, 1986, page 198) From here you would measure the amount of time it takes for the penny to stop spinning. This would yield, mathematically, a deceleration rate. From that, I believe you could determine the coefficient of kinetic friction between the penny and your surface. Then, with some mathematical knowledge of physics, you could extrapolate an equation which relates time, angular velocity, mass, etc. Actually, I wouldn't solve the problem for you even if I found it to be a useful bit of knowledge. It's not allowed here. 


#32
Jan813, 05:14 PM

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If you spin a class ring, why does it almost always to seem wind up spinning with the jewel part on top? (And there is an obvious answer why the jewel part has to wind up either directely on top or directly on the bottom, but only a slightly satisfying answer why it has to wind up on top.) 


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