Math
in [Science]
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A message on this day (Yes, I will post this every year) In 1789, the French showed that ordinary people could make a difference in throwing off an increasingly oppressive, dishonest, unresponsive government. What they did ranks as the most successful democratic revolution of all time; for their achievements have never been reversed.... 17 Jul 2010 17:24
Eureka Re: setting up a Math Induction template Re: Proof of the Infinitude of Perfect Numbers #678 Correcting Math Sorry about that unfinished post, I hit a wrong key which stopped me from completing the post so I shut the computer down and restarted it. I usually find that talking something to death achieves my goal. Okay, so I supposed in Math Induction that p_N was true, and so (2x3x5x7x. . .xp_N) was of the ... 14 Jul 2010 22:01
eureka Re: setting up a Math Induction template Re: Proof of the Infinitude of Perfect Numbers #677 Correcting Math Archimedes Plutonium wrote: Archimedes Plutonium wrote: Alright, I am in no sort of rush. The proof of the Infinitude of Perfect Numbers has been waiting since Pythagoras of 3,000 years old, so what is 3 weeks more. When a new technique is found in mathematics that clears out a ... 14 Jul 2010 22:00
setting up a Math Induction template Re: Proof of the Infinitude of Perfect Numbers #676 Correcting Math Archimedes Plutonium wrote: Alright, I am in no sort of rush. The proof of the Infinitude of Perfect Numbers has been waiting since Pythagoras of 3,000 years old, so what is 3 weeks more. When a new technique is found in mathematics that clears out a problem-- infinitude of Twin Primes and P... 14 Jul 2010 22:00
JSH: They lie a lot I used to get upset but now I find it just to be an odd lesson in human group dynamics when some poster or posters say something really mathematically wrong and other posters try to post support for them, when I jump on it. (I like jumping with both feet and hitting as hard as I can when I get in the mood.) I... 15 Jul 2010 22:00
If Economics is one of the "Soft Sciences" how can it be trusted determine so much in society? It is customary to divide sciences into two categories, hard and soft sciences - examples of hard sciences are physics and astronomy, while ecology and psychology are often classified as soft sciences. One group of sciences is also distinguished by strict and rigorous scientific standards, and close attention to ... 18 Jul 2010 23:30
An Elementary Proof of Fermat's 'Last Theorem' An Elementary Proof of Fermat's 'Last Theorem' by A. N. Emus The equation x^n + y^n = z^n {1} has no solution in positive integers x, y, z, n if n > 2. Proof: By symmetry we can suppose x < y. Clearly, y < z. Rewrite {1} as x^m(x^2) + y^m(y^2) = z^m(z^2), ... 16 Jul 2010 00:10
Zugswang in my proof of No Odd Perfect Numbers #675 Correcting Math Zugswang is easily seen in the picture proof of Pythagorean theorem where no words are needed to make the proof but only a picture of 3 squares resting on the sides of a right triangle, and with the other attending pictures. But my proof that No Odd Perfect Number exists is another Zugswang proof. It forces wi... 14 Jul 2010 16:32
Rotation of f(x) = k/x Given f(x) = k/x where k and x > 0 Rotating the function by pi/4 (i.e. 45 degrees) can be done by multiplying (x, f(x)) with a transformation matrix to give (x*, f*(x)). After the transformation, y* is still > 0, but x* can be any value. Is there a way to convert this to a "regular" function? E.g. suppose g() ... 14 Jul 2010 18:45 |