You must have read it differently to me. He didn't say the dog solved the calculus, he did say it solved the optimisation problem. Here is a bit more informationto help you.
I concur. This book started my road to "Mathematics recovery".
I had scraped though HS with enough maths to get to do a BSc. Unfortunately, that weakness precluded me from doing well in the subjects I wanted to do. Now, over 2 decades later, I am doing a second attempt at a BSc (part-time) and am doing 3rd year maths. If someone told me five years ago I would be fronting up at a PDE course. I would have not thought it possible.
I am not saying that the book fixied me though
I still have the problem, like you, of enjoying the reading more than the doing. Start doing problems. If you can't figure it out, do problems that that problem is based on. Work your way back to real number axioms if you have to.
I also took a bridging course that reviewed HS level calculus and trigonometry and that was invaluable in setting my mathematics on a firmer foundation.
Keith Devlin addresses your concerns. His recent book "Math Instinct" looks at the conundrum of mathematics being easier in practice than in theory.
I haven't read it but I have read his "Math Gene" book looking at innate abilities for mathematics.
TRUE FACTS FROM THE MATH INSTINCT
When a dog runs along a beach and then jumps into the water to retrieve a ball thrown diagonally into a lake, it instinctively solves a problem that humans need calculus to solve.
Lobsters have a built-in positioning system that is the equal of the hugely expensive and mathematically rich high-tech Global Positioning System (GPS) human travelers use today.
Within a couple of days of being born, human babies know the numbers 1, 2, 3, and can distinguish between a correct addition or subtraction such as 1 + 2 = 3 and an incorrect one such as 3 - 1 = 1.
My understanding is that the sulphur compunds have a relatively low residence time as shown by the fact that by taking away the inefficent Soviet coal stations, dimming diminished in the mid to late 90s. This means that the sulphate drops into the lower atmosphere, combines with water and precipitates as acid rain.
Students at my University rarely visit the stacks these days. There are plenty of computers and a whole slew of online journals. When relating this story, I would tell people there is still a need to access the Transactions of the Royal Society. When I took my son on a tour of one of the libraries, I went straight to the Transactions and showed him a paper from the 18th century,
Don't forget DG/UX. Had some neat features like fine-grained locking and the Online File System where you could grow and shrink / and/usr without going to single user mode.
Not just workstations but the Origin Super Computers as well. Now CXFS as a server is supported on the Altix (Itanum 2/Linux) there is no real need to sell them to the general customers.
Wait, I can feel a movie coming on. A Distant Mind.A young russian boy, devoted to his mother, idles his time by the glow of the hearth pursuing mathematical interests. Later, He falls in love with a woman who rejects him. He withdraws and spends the rest of his life solving Poincarres conjecture. Starring Ben Stiller as the mathematical genius, Glenn Close as his devoted mother and Naomi Watts as the unattainable object of his desires.
My physics SA PEB matriculation exam (1976) had, on reflection, a Fermi Problem. In fact all the past papers I did had one in them. The question I answered was a bit like "Estimate the total energy expended by waves on a beach". It was fun making a list of assumptions and coming up with an answer, including a method of measuring it.
As an aside, I surprised my teachers by matriculating that year. My mid-year tests were peppered with 'F's reflecting a lack of effort.
They played on that reliability and released the iBook G3 700MHz lemon which was the first and last Mac I will buy. I have a P133 that is still running as my main box (on it's side with the cover off as the fan is b0rken and I'm too lazy to fix it).
We were googling at work and someone noticed the logo and said "they've done google in the style of Picasso". I said "No it is in the style of Miro". A bunch of people now know a bit more about this artist.
I personally love his works and nearly 30 years ago I adopted his style for a number of oil paintings I did. I also seriously considered buying a Miro print from a gallery in Adelaide. I am glad I passed that one up as I found out later the woman running the gallery would lift the prints from art books! My wife binned my paintings soon after my marriage:( I'm not bitter though, they probably were crap and I'm still married.
Hmm. I didn't mention my OS, however I did mention I have no mouse. That might suggest what sort of OS I am not running, which it seems Eve-Online needs.
Reward player for achieving steps towards the goal
Provide a metaverse for social interaction with other players
The amount of technology required to do this depends on the interactive needs of the player.
Personally, my gaming has very low CPU requirements. There is no need to stick on the upgrade treadmill. I have a P133 with no mouse that runs Angband OK. My online gaming experience is satified at 3k.org.
Australians don't say "crikey!" (much - unless we're toying with the Seppos;-); we don't drink Fosters (unfortunately, Australia's best-selling beer is VB, which is even worse...); and we don't all ride around in kangaroos (we have wallabies, which are smaller and easier to park...)
On reflection, there is another generator of lunar soil - meteor impacts. Without seeing the paper, I assume particles tested by Trevor Ireland were non-meteoric and non-lunar.
I like your idea of drilling a core. Sounds like a worthwhile exercise to me. I'm not sure it will answer your question though.
Solar fluctuations should closely match earth orbital eccentricity (100,000 year cycles). Any other cycling might show the flux changes you are looking for. Resolution of the timing may be difficult if the deposition rate is too low though. When you think that the total thickness of dust on the moon is measured in centimetres accumulated over ~ 4.5bn years, I think the resolution needed for this question would be too coarse.
That being said, there is a 1000-year cycle signal seen in fine resolution earth records that you could hypothesise as being solar output pulses. I don't know off the top of my head what to look for on earth or the moon to correlate them with a solar (flare) flux cycle. I am not convinced that solar output variability is significant, but it may be a destabiliser in confluence when other climate forcing components peaked.
What was the CO2 atmospheric concentration in the Mesozoic? Perhaps you's understand why it was a greenhouse age. What is the average atmospheric CO2 concentration over the last 25million years? Perhaps you will understand why we live in an icehouse age? What is the current atmoshperic CO2 concentration? How does it differ from the max and min range of icehouse concentrations? What is the residence time of CH4 in the atmosphere? What does it oxidise to? Answer these questions and ponder the consequences.
a) it assumes that the only agent of change on the lunar surface over 4 billion years is the sun,
So how is soil formed on earth? Do you think there are similar processes on the moon?
b) it's one small size sample size picked up by one astronaut that can't possibly represent the whole moon.
If you assume there is one method of creating soil on the moon, them any sample will give a good enough result. Economics limits the sample size. How much does 300 nanograms (or whatever they used, I couldn't find an article) of moon dust cost? Other people are free to repeat the experiment an add to the statistical sample.
Scinetists often re-examine new material in light of new theories, or new developments in analytical techniques which Trevor Ireland happens tp work on. BTW, Ross Taylor of the ANU was invloved in early moon sample analysis.
Slashdot Mirror
You must have read it differently to me. He didn't say the dog solved the calculus, he did say it solved the optimisation problem. Here is a bit more informationto help you.
I concur. This book started my road to "Mathematics recovery".
I had scraped though HS with enough maths to get to do a BSc. Unfortunately, that weakness precluded me from doing well in the subjects I wanted to do. Now, over 2 decades later, I am doing a second attempt at a BSc (part-time) and am doing 3rd year maths. If someone told me five years ago I would be fronting up at a PDE course. I would have not thought it possible.
I am not saying that the book fixied me though
I still have the problem, like you, of enjoying the reading more than the doing. Start doing problems. If you can't figure it out, do problems that that problem is based on. Work your way back to real number axioms if you have to.
I also took a bridging course that reviewed HS level calculus and trigonometry and that was invaluable in setting my mathematics on a firmer foundation.
Keith Devlin addresses your concerns. His recent book "Math Instinct" looks at the conundrum of mathematics being easier in practice than in theory.
I haven't read it but I have read his "Math Gene" book looking at innate abilities for mathematics.
My understanding is that the sulphur compunds have a relatively low residence time as shown by the fact that by taking away the inefficent Soviet coal stations, dimming diminished in the mid to late 90s. This means that the sulphate drops into the lower atmosphere, combines with water and precipitates as acid rain.
Brilliant
Students at my University rarely visit the stacks these days. There are plenty of computers and a whole slew of online journals. When relating this story, I would tell people there is still a need to access the Transactions of the Royal Society. When I took my son on a tour of one of the libraries, I went straight to the Transactions and showed him a paper from the 18th century,
Well, I was impressed.
And Data General
Don't forget DG/UX. Had some neat features like fine-grained locking and the Online File System where you could grow and shrink / and /usr without going to single user mode.
Not just workstations but the Origin Super Computers as well. Now CXFS as a server is supported on the Altix (Itanum 2/Linux) there is no real need to sell them to the general customers.
Wait, I can feel a movie coming on. A Distant Mind .A young russian boy, devoted to his mother, idles his time by the glow of the hearth pursuing mathematical interests. Later, He falls in love with a woman who rejects him. He withdraws and spends the rest of his life solving Poincarres conjecture. Starring Ben Stiller as the mathematical genius, Glenn Close as his devoted mother and Naomi Watts as the unattainable object of his desires.
A nugget of logic within an illfounded thread of pure speculation. Well done sir. Didnt seem to have any effect on the threads direction though :(
My physics SA PEB matriculation exam (1976) had, on reflection, a Fermi Problem. In fact all the past papers I did had one in them. The question I answered was a bit like "Estimate the total energy expended by waves on a beach". It was fun making a list of assumptions and coming up with an answer, including a method of measuring it.
As an aside, I surprised my teachers by matriculating that year. My mid-year tests were peppered with 'F's reflecting a lack of effort.
My mirth-counter is screaming for one as well.
They played on that reliability and released the iBook G3 700MHz lemon which was the first and last Mac I will buy. I have a P133 that is still running as my main box (on it's side with the cover off as the fan is b0rken and I'm too lazy to fix it).
I immediately thought Arthur had been whisked away!
I personally love his works and nearly 30 years ago I adopted his style for a number of oil paintings I did. I also seriously considered buying a Miro print from a gallery in Adelaide. I am glad I passed that one up as I found out later the woman running the gallery would lift the prints from art books! My wife binned my paintings soon after my marriage :( I'm not bitter though, they probably were crap and I'm still married.
The target may be changed at any time by pointing it at a new target and shouting 'emerge /bin/target!'
Are you suggesting this weapon was first forged in the Dales of Gentoo?
And what would a bunch of archaeologists know about dinosaurs?
Thanks
Hmm. I didn't mention my OS, however I did mention I have no mouse. That might suggest what sort of OS I am not running, which it seems Eve-Online needs.
The amount of technology required to do this depends on the interactive needs of the player.
Personally, my gaming has very low CPU requirements. There is no need to stick on the upgrade treadmill. I have a P133 with no mouse that runs Angband OK. My online gaming experience is satified at 3k.org.
Australians don't say "crikey!" (much - unless we're toying with the Seppos ;-); we don't drink Fosters (unfortunately, Australia's best-selling beer is VB, which is even worse...); and we don't all ride around in kangaroos (we have wallabies, which are smaller and easier to park...)
We do say "crikey" when referring to Crikey for political and business gossip and doing Steve Irwin impersonations when we are overseasOn reflection, there is another generator of lunar soil - meteor impacts. Without seeing the paper, I assume particles tested by Trevor Ireland were non-meteoric and non-lunar.
I like your idea of drilling a core. Sounds like a worthwhile exercise to me. I'm not sure it will answer your question though.
Solar fluctuations should closely match earth orbital eccentricity (100,000 year cycles). Any other cycling might show the flux changes you are looking for. Resolution of the timing may be difficult if the deposition rate is too low though. When you think that the total thickness of dust on the moon is measured in centimetres accumulated over ~ 4.5bn years, I think the resolution needed for this question would be too coarse.
That being said, there is a 1000-year cycle signal seen in fine resolution earth records that you could hypothesise as being solar output pulses. I don't know off the top of my head what to look for on earth or the moon to correlate them with a solar (flare) flux cycle. I am not convinced that solar output variability is significant, but it may be a destabiliser in confluence when other climate forcing components peaked.
What was the CO2 atmospheric concentration in the Mesozoic? Perhaps you's understand why it was a greenhouse age. What is the average atmospheric CO2 concentration over the last 25million years? Perhaps you will understand why we live in an icehouse age? What is the current atmoshperic CO2 concentration? How does it differ from the max and min range of icehouse concentrations? What is the residence time of CH4 in the atmosphere? What does it oxidise to? Answer these questions and ponder the consequences.
a) it assumes that the only agent of change on the lunar surface over 4 billion years is the sun, So how is soil formed on earth? Do you think there are similar processes on the moon? b) it's one small size sample size picked up by one astronaut that can't possibly represent the whole moon. If you assume there is one method of creating soil on the moon, them any sample will give a good enough result. Economics limits the sample size. How much does 300 nanograms (or whatever they used, I couldn't find an article) of moon dust cost? Other people are free to repeat the experiment an add to the statistical sample.
Scinetists often re-examine new material in light of new theories, or new developments in analytical techniques which Trevor Ireland happens tp work on. BTW, Ross Taylor of the ANU was invloved in early moon sample analysis.