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The limit of 1/x as x --> 0 is infinity. When you talk about 1/0 directly there is at times a difficulty connecting it with the general numerical system. If you wish to be sloppy, you can say it is infinity without noting limits. However, it is usually defined in terms of limits. a suggestion, -XReturn to Top
For Math, Science And Ethics Activists: Organize K-12 Students And Others For The Common Good. ------------------------------------------------------------ What 7 Straight Lines In Plane Are Most Important And Why? "the ones that hold the plane together so you don't crash and die" ~justinReturn to Top
alfonso@frontiernet.net (Alfonso) wrote: >Do you know any orthodox Jews, Matt? Excuse me! It may have escaped your notice, but Matt *is* a Jew! [I cannot say for certain if he is Orthodox himself, but he certainly does not strike me as liberal theologically, so it is possible thst he himself is Othodox]. The peace of God be with you. Stanley FriesenReturn to Top
Morphesius@usa.net (Morphesius) wrote: > Hawking said that black holes might be observed since there >are occasions when two particles, any one particle and its >corresponding antiparticle, spontaneously come into being near a black >hole. That "spontaneously coming into being" bit sounds like creation >if I ever heard it. It may sound like it, but it isn't, at least not in any sense that Fundamentalist Christian would want to admit to. This is, in fact, a consequence of Heisenberg's Uncertainty Principle. Anything an pop into existance and disappear again as long as it doesn't "show up" in the overall book-keeping the Universe does. Formation of particle-antiparticle pairs is how this spontaneous formation takes place. Now, if one of these virtual (non-real but extant) particles happens to pass the event horizon of a black hole it cannot recombine with its virtual anti-particle any longer. This prevent the counterpart from disappearing in time, so it must become fully real and detectable, Since the Universe insists the energy (and certain other properties) remain constant above the Heisenberg threshhold, this equires that the black hole lose mass and energy equal to the mass-energy of the newly promoted real particle. Ergo, black holes evaporate. The peace of God be with you. Stanley FriesenReturn to Top
In article <32ca938f.4435083@news> , wf3h@enter.net writes: >>A study was done in 1960 to determine the amount of 'cosmic dust' making >>its way onto earth. >>So at the time that Scientific Creationism was printed, the data had >>already been around for years, showing that the moon dust argument was >>invalid. >>Any book which puts this forward as an argument is simply shoddily >>researched. All the other young-earth arguments I have seen have been >>equally invalid. > >yes, well put....unfortunately, creationists are quite effective at >lying so this info will have little effect on them..they will simply >make up something else. As many creationists are fond of pointing out, you can't demonstrate lying unless you can demonstrate a clear intention to deceive. That's what they say. In Exodus, God says something like "thou shalt not bear false witness", and then completely forgets to put in the part about motivation or intention to deceive. Nor does God say it's ok to unknowingly retransmit the lies of others. In this particular case, it seems likely that MARK A CLARK is not aware that he is repeating lies. He is a typically undereducated and overly credulous American college student (?) who innocently believes what he reads, especially if it confirms his already extant notions about the nature of things. However, the tracts and screeds that MARK A CLARK has been reading were written by men (are there any female creationist authors?) with a clear intention of deceiving. They were counting on the fact that MARK A CLARK is undereducated and overly credulous. They were counting on MARK A CLARK being ignorant enough about the phenomena in question that their ridiculous suppositions would seem to make some kind of sense. It appears that they were correct. MARK, you have been lied to. Your trust in your elders has been crudely taken advantage of. YOU have been played like some kind of an ignorance fiddle, to which lies are uttered in the hopes they'll be played again. Does it upset you at all when people you trust take advantage of you like this? It would sure bother me.Return to Top
In articleReturn to Top, Brian J Flanagan writes: > > >On 31 Dec 1996, Operator wrote: > >> >> What you kids seem to forget is that a tiny bit of usenet >> is reserved for real science. It is such a tiny bit it really >> shouldn't bother anyone and people like John put in a lot >> of time to keep that little corner a bit tidy. You have >> 99% of usenet to play, so please leave those few people who >> want to discuss science their little bit of space. >> It is no injustice. It is simply: children not allowed. >> > >BJ: Now, that's snooty! Moreover, you can readily see that, while the >speaker is largely unconscious of his snootiness, to the extent that he is >aware of it, he is quite unashamed of it - an intellectual failure >compounded by an ethical lapse. So it is arrogant to point out that a tiny part of usenet is rightly reserved for real science discussions ? Or... Do you guys really take yourself serious ????? *shock* :-) >He has thereby made himself an appropriate >target for this very kind of abuse, for he declares himself a villain of >the prissy, dweebish little toad variety. He presents you with an >opportunity to execute the classic comic reversal, whereby the high are >brought low and ensnared in a web of their own dark designs. Lotsa words but I don't get it... out of ammunition ? ;-) kisses and a Happy New Year, Patrick.
In theory one could talk about rounding, but significant figures should also be taken into account. When you are saying that you have measured a value: .999999999999999999999 you are saying that you have been able to measure with a precision of better than +/- .0000000000000000000005. Since you included the ..., you can use limits of the reimann sum to show that it is one. The statement of the number of digits past the decimal point can also, however, be used to say how precise your measurements are. A measurement of 1.0000 is saying you know the value is probably between 1.00005 and .99995, whereas a measurement of 1 is probably between 1.5 and .5 (with 95%, 99%, or whatever confidence level). When you consider the ..., you can use the Maclaurin's formula, Taylors series, or infinite series, or the like, to prove that it will add up to 1. -XReturn to Top
In article <32C9D644.2ECD@pop.erols.com>, cwthomas@pop.erols.com says... > >Hi; >Thanks for reading this. Does anyone know if its possible to view or >create holograms with noncoherent light??? > C. W., holograms are made using coherent light; it's important to capture the phase relationships since this is key to the effect. Look in the literature for "white light" holograms. These are holograms which can be viewed using normal light. I have one of a stack of dimes that I made back in my optics class up in my bedroom. --Best regards, --MikeReturn to Top
Lorentz invariance as applied to Bohm's implicate order is similar to Plato's Ideas(forms) applied to the Hilbert Space. Each Hilbert Space by definition is finite. Still, there may be an infinite number of Hilbert Spaces. In higher implicate order manifolds, the beables and pilot-waves must interact and are not necessarily bounded by the speed of light. One conclusion of the EPR non-local effect is that, indeed, configuration codes and momentum trajectories are communicated *instantaneously*. Hence, the birth of the instanton. If the instanton is bounded by non-local bosonic fields, each thought in the human brain can be traced back to an infinite series which *converges* in a Cauchy integral. When treating matters of thought waves, one must quickly dispel the notion that nothing travels faster than light. After all, real unity is the intersection of Hilbert Spaces. If we let a Hilbert Space (H) be bounded by the speed of light (c) then (G), the gravitational constant and Omega, (Big Bang Singularity) become equivalent. So then: Square root of Omega x HcG^2/g^-ij=N summation B over +infinity and -infinity where B is the sum total of beables in the Hilbert Space and N is instanton automorphism. Craig ClarkReturn to Top
Im Artikel <32cded24.24331616@news.netspace.net.au>, rvanspaa@netspace.net.au (Robin van Spaandonk) schreibt: >Ray, > >Would you entertain the possibility that the Solar oscillations are >resonating with the planetary motion, due to tidal forces, rather than >being the cause of the planetary distribution? > Excellent question IMHO. But: for a given set of four planets: would one find a certain 'resonance' for every random distribution? And if the distribution is not random: why isn't it? Someone mentioned 'Bode's law'. As my maths are really bad, could someone put in words, what the theory says and why it 'explains' the given distribution? Cheerio The most dangerous untruths are truths slightly deformed. Lichtenberg, Sudelbuecher __________________________________ Lorenz Borsche Per the FCA: this eMail adress is not to be added to any commercial mailing list. Uncalled for eMail maybe treated as public.Return to Top
Im ArtikelReturn to Top, meron@cars3.uchicago.edu schreibt: >The NIH is the National Institute of Health in the states, >the center for most medical research activity. In >recent years there were quite a few scandals having >to do with fraud in research either performed at or >sponsored by the NIH. Thanks for clearing up who's who :-) >Namely, they think that the purpose of research is >to prove that your theory is right, not to find out whether >your theory is right (which is what it should be). This little >difference is dangerous. Could all easily be avoided by using a Popperian approach: try to *disprove* your hypothesis (and that's still in the range of our present discussion: the fundamental asymmetry between something and it's negation). Cheerio The most dangerous untruths are truths slightly deformed. Lichtenberg, Sudelbuecher __________________________________ Lorenz Borsche Per the FCA: this eMail adress is not to be added to any commercial mailing list. Uncalled for eMail maybe treated as public.
Im ArtikelReturn to Top, meron@cars3.uchicago.edu schreibt: >>Hey, have you ever heard of 'propaganda'? I think, >>this is one of the great tricks: to prove your own >>position, negate a reversed (and clearly false) >>position - whooopy, your position comes TRUE! > >"But Brutus and Casius say so. And they're honorable men" Reminds me of a Berlinian derivation of one famous German saying to make it fit in the 'dark ages' some sixty years ago: The original saying is: "Luegen haben kurze Beine" (Lies do have short legs, meaning they won't go far). Now the 'Secretary of Propaganda' (Official title!) Joseph Goebbles was known to limp because of a gumpy leg. Thus the Berlinian with their sharp sense of humour said (very quietly whispering this only into good friends ears): "The lie has a short leg". Public wisdom, for which you could go to jail... dark ages, as I said.... The most dangerous untruths are truths slightly deformed. Lichtenberg, Sudelbuecher __________________________________ Lorenz Borsche Per the FCA: this eMail adress is not to be added to any commercial mailing list. Uncalled for eMail maybe treated as public.
Im Artikel <32c6da5b.3660544@news.nn.iconz.co.nz>, ericf@central.co.nz (Eric Flesch) schreibt: >Jonathan Scott gave a pretty good summary as follows: [Quoting JS] Note that the 100% correlation on its own does not require any magic. This is compatible with the deterministic idea that photons "really" have a specific direction given by an internal "hidden variable". The real magic occurs in the mixed states, where the polarizers are neither parallel nor perpendicular to one another. If you assume that the results at one end are not affected by the polarizer angle at the other end, you get an impossible situation. If A(0), A(22.5) and A(45) are the possible result sets (lists of H or V results) from measuring matched photons from the same experiment at detector A, at angles 0, 22.5 and 45 degrees from a reference direction, and similarly for B at the opposite end of the same experiment, then you have the following predictions of quantum mechanics: 1. A(0) is 100% the same as B(0) (correlation 1) 2. A(22.5) is 85% the same as B(0) (correlation 0.707) 3. A(22.5) is 85% the same as B(45) (correlation 0.707) 4. A(0) is 50% the same as B(45) (correlation 0). This means that B(0) is 15% different from A(22.5) from 2. B(45) is 15% different from A(22.5) from 3. so B(0) is not more than 30% different from B(45). but B(0) is identical to A(0) from 1. so B(0) is 50% different from B(45) from 4. which is impossible if it is not more than 30% different. So far, the experiments show that the quantum mechanics predictions work, and Bell's theorem says that it is impossible to find a local deterministic explanation for this. [End quote JS] Thanks, Eric, to briefly quoting what brings it to the point. Now I do have a question or two, and a suggestion how to explain the inequality (boy oh boy, I must be nuts ;-) The question: Do we measure in fact the 50% for the 45 degrees setting and the 85% for the 22.5 setting? If this is so (as I guess), my suggestion is: We are not allowed to simply add two 22.5 set results (thus giving 30% miss) and say this is unequal to the 45 set result (50%). Because: it is NOT the same pairs we are measuring. Actually each 85% result contains pairs, which would not show up, when we could exactly reproduce the pair production, but would have set both polarizers with an offset of 22.5. To illustrate this effect see the sinus curves below: ======================================= o # o # o # o # o * # o * x * o # $ # o * # o x o # * # * # * # * # * * ======================================== Both the o-curve and the *-curve cross the #-curve at the points marked 'x', which give a high value (e.g. 85%), but the crossing point of 'o' with '*' (marked '$') is remarkably lower (e.g. 50%) and obviously lower than two times the difference between peak level (100%) and the 'x'-points. If this is all stupid, don't flame me (and don't tell me to read the faq - I did), just tell me we're I'm wrong. Thanks. Cheerio The most dangerous untruths are truths slightly deformed. Lichtenberg, Sudelbuecher __________________________________ Lorenz Borsche Per the FCA: this eMail adress is not to be added to any commercial mailing list. Uncalled for eMail maybe treated as public.Return to Top
In article <5a8d9u$78s@newsman.murdoch.edu.au>, jnorthct@central.murdoch.edu.au (J Northcote) wrote: [I recently read David Bohm & David Peat's (1987) book, "Science, Order [and Creativity," which argues that science should be a creative [enterprise without constraints on free cognitive play. I was [wondering what people's views are on this issue. Are there dangers in [an 'anything goes' approach to theoretical formulation? I am also [interested to know where the authors might have obtained the following [quote by Ernest Rutherford, who is said to have replied when asked [about the new development in quantum theory: [ ["There is only one thing to say about physics: the theorists are on [the hind legs and it's up to us to get them down again." [ [What exactly did Ernest Rutherford mean by this metaphor? [ [ [ He meant that experiments are as important as math.Return to Top
lbsys@aol.com wrote: > Someone mentioned 'Bode's law'. As my maths are really bad, could someone > put in words, what the theory says and why it 'explains' the given > distribution? Bode's law as originally proposed (see Physics of the Earth, Stacey, 1992), was a simple progression that matched the distribution of planetary radiuses (sic). It doesn't explain anything, but many have tried to explain *it*, in terms of physical interactions that might result in a regular spacing. This is like the situation in chemistry where regularities in the spectral lines were eventually explained by quantum mechanics. Bodes law was of the form (a + b * 2^n) where n is 1,2,3,...(Earth is 3). My post about Bode's law was that it is improved if you just assume that the *periods* of the planets double each planet, with *two* asteroid belts. -- D. mentock@mindspring.com http://www.mindspring.com/~mentock/index.htmReturn to Top
Anonymous wrote: > > snelson@hawaii.edu wrote: > > s> I am a tree-hugging, crystal-rubbing, New-Age flake. > s> I'm also a bonafide Ph.D., a scientist. > > Obviously not a physicist! > > s> I suggest you pick up a few books on crystals (scientific or > s> otherwise) and thumb through 'em. > > s> Can you say "piezoelectric crytals"? > s> Can you say "diflexion crystals"? > > Sure, no problem. > > s> You see, it is a scientific, documented Fact that crystals can > s> transform one type of energy into another. > > Spectacularly, but within narrow limits. > > s> They can store energy....ALL TYPES of energy. > > Nonsense. > > s> In other words, they > s> can be PROGRAMMED like your little Dell. > > s> Crytals are special and I'll rub 'em if it feels good, hoss. > > OK, "Doctor," now explain to us "scientifically" how the piezoelectric > effect of random, low-grade geological crystal specimens selected for > their cosmetic appearance can be "programmed" by finger rubbing to > produce specific disease cures, advanced "spiritual powers" or > communication with a putatively deceased maiden aunt. May I add my 2 sents? sense? What's that poem that speaks of uncounted worlds in every grain of sand? Or something like that. My 'Galaxy Model' for the atom indicates that the next great Age will be the 'Age of Crystals'. You can access it and my gravity theory at http://www.petcom.com/~john but basically it says that the smallest complete unit IS the atom, and the smallest unit of the atom is another atom. Galaxies are atoms and vice-versa. Atoms are complex spinning discs containing life and intelligence and galaxies are spherical over time; their spinning discs revolving like a coin spinning on the table. Crystals are atoms whose discs are revolving in tandem- sharing their energies somehow. Imagine millions of Milky Ways connected in a lattice like a diamond. Would their be any more potential? Orrrr... do WE have the potential to imagine more than our own 'stellar' accomplishments? Do you?Return to Top
In reading the 5 replies(Jan 1, '97) to this earnest question, no one really gave this person a true answer, but merely gave interpretations of their learned reasoning. What light is, cannot come from a lesson, rather from a lifetime of contemplation on the "subject". In my 6o years of this contemplation, and the absobtion of many interpretations, it is my conclusion, "LIGHT" is a subject of an higher dimension, which does not travel, rather emerges, as an opportunist, when given the chance to emerge. Humankind does not possess the mechanism(s) to see beyond this transposition, so we use all sorts of reasoning to explain its function, without ever really giving answer, such as the finality of 2+2=4. Light, being of this greater dimension, does not tally with our slow archaic mathematics or reasoning. We have to seek the reality of light by use of a mathematics of that higher dimension in which light itself resides, and not by use of our simple, uncomplicated, 3-dimensional system with illusionary vectors added to satisfy our lack of higher reasoning. This higher mathematics begins with the newly formed dual-coodinate systems at body center of the cube in 4-space. If one draws a cube, then drags an image of that cube from the original to "d" in an adjacent area, yet hold connection lines from the nodes of the original to the likewise nodes of the image, you then have a cube in the 4th-dimension. If you build a "model" of this figure from wooden coffee stirrers, you will see at body center of this figure, the two, opposite to each other, dual 4-space simplices. It are these incongruently inversed dual systems that is the doorway of a mathematics in the necessary higher dimensions, where light becomes not a wave or a partical, but a form of matter, just as is the sound of gravity is a form of matter, in these higher dimensions. Then, the question, "What is light?" becomes an answerable approach along proper reasoning, rather than the robotized reasoning from a gaggle of students funneled thru the same educational system, possessing the same answers as all those before and after, yet, no one really giving an answer to a very simple question. Now that you have the math, the answer should be as simple as 2+2=4. If it is not, then, you are in the wrong class. Rossi d'Providence RJRossi@aol.com Jan 1, 1997Return to Top
In article <32CA9B39.6B5B@efgh.net> AnonymousReturn to Topwrites: > Quantum mechanics utterly breaks down, when it tries to predict the > number of vortices that are observed, when I try to stir coffee in my > coffee cup with my finger. > > -X Then use a spoon!
In article <32CA97DE.2351@efgh.net> AnonymousReturn to Topwrites: > What Medium does light require? > > space-time > > -X
In article <01bbf7f4$38e78b00$e20786c2@default>, "hans"Return to Topwrote: >Hello i'am very interested in the following. >I destilate alcohol at my home but i don't know if alcoholvapour is heavier >than air, this i want to know for explosion or fire safety. Yes, alcohol vapor is heavier than air. However, the extent to which it will readily collect like say a gasoline vapor depends on what alcohol you are dealing with. What I am getting at is methanol vapors will be lighter than ethanol vapors. For example, methanol has about the same molecular weight as air being somewhat less than O2 but more than N2. So, it will not have the same tendancy to collect as say gasoline vapors. In any case, there is a real fire hazard with any of these vapors. You need to be very careful. -- "Against stupidity, the Gods themselves contend in vain."
I just heard Fritjof Capra on KQED Forum. While I think he is doing good things with his Eco-Literacy Program on the physics level he has been writing the same book over and over for the past 20 years - and making lot's of money doing it! :-) Specifically as my http://www.hia.com/hia/pcr/qmbeynd.html shows, Bohm has done the physics of wholistic systems theory much better than any one. Specifically, while ultimately monism from quantum Hilbert space may be primary, as a practical matter the mind-matter dualism in the Bohm pilot-wave/hidden-variable theory works very well. With the addition of back-action one sees in detail the nonlinear creative nonlocal interconnectivity that Capra talks about in vague ways. The advantage of Bohm's way is the spin-off in practical technology.Return to Top
Excuse my nineteen-sixties Newtonian physics. It will become obvious from my terminology that I am not a physicist, but I read this newsgroup regularly and with avid interest, and I know from lurking here that you are pretty good at deciphering amateurish input. I would like to know why this flying saucer won’t fly. Many of you have seen drawings of it. I have seen it published in books for many years, and I know that if the authors had the slightest inkling that it would work they would be selling flying saucers, not books. So my problem is not that it won’t fly, but understanding *why* it won’t fly. I suspect an understandable answer lies in relativity physics, which I am just learning about. The saucer consists of a frame upon which is mounted a flat disc which is affixed so that it can rotate in a horizontal plane. Upon the disc are mounted several (let’s use three, for balance) flywheels with their shafts parallel both to the face of the disc and a radius. The flywheels are equidistant apart (the angles formed by their shafts are equal and the shafts are of equal length). The flywheels are powered by a motor of some sort, and another motor is connected to the frame so that it can rotate the disc, and yes, there must be some method of countering the helicopter effect, perhaps with a smaller identical saucer setup mounted perpendicular to the plane of the main saucer. So that’s the device. Now here’s what I know about flywheels. If I have a gyroscope on my desk and I hold it vertically and start the flywheel spinning, then if I get the flywheel spinning fast enough I can release my hold on the gyroscope and it won’t fall over. Though it appears to me that it is standing still, it’s not really, as I will soon find out when the flywheel slows down enough. As its rate of spin decreases, the free end of the shaft of the flywheel begins to rotate in an ever-increasing spiral until the gyroscope falls over. This spiral rotation began as soon as I let the free end of the shaft go, although the spiral movement was imperceptible until the flywheel slowed enough. The rotation is a spiral only because the flywheel is slowing down, and if I had a motor-powered flywheel I could make the free end of the gyroscope rotate in a circle by keeping the rate of spin of the flywheel constant. If I have a rotating flywheel with one end of its shaft fixed at a point and I cause a force to act against the free end of the shaft in a direction perpendicular to the centerline of the shaft, then the free end of the shaft will move at a 90-degree angle from the direction of the force and in the direction of the rotation of the leading edge of the flywheel. I understand this and I can visualize why it does so. I have never found a name for this force, but the phenomenon it causes is called precession, so, until flamed, I’ll call it the precessional force. This precessional force is what causes the rotation of the free end of the shaft of the gyroscope on my desk, and that rotation is called precession. I know that the precessional force is strongest when the length of the shaft from the center of the flywheel to the fixed point is equal to the radius if the flywheel, and weakens proportionately as this part of shaft lengthens or shortens. This has a bearing on the design of the flying saucer. Now that I know about precession, I know that the gyroscope wasn’t standing still after all, and the spiral (or circle) is not smooth. What occurs is that, as soon as I let go of the gyroscope, gravity exerts a force on the flywheel, and since it is never perfectly perpendicular, it tries to fall over, meaning that the free end of the shaft moves in a direction perpendicular to the centerline of the shaft. But then the precessional force causes it to move in a 90 degree direction, and then gravity pulls at it again, etc. So the rotation spiral is not a smooth curve but an infinite series of pull-react events that just appear to be smooth. As the rate of rotation of the flywheel decreases, the reaction weakens, and the gravitational pull, which is constant, gradually increases the size of the spiral. I think I understand this correctly. Now, if I hold the spinning gyroscope horizontally in my hand by one end and move it horizontally in the correct direction, the precessional force will cause the free end of the gyroscope to move in an upward direction, and the precessional force is so strong that it overpowers my efforts to prevent it from doing so. In fact, if I have a powered gyroscope, the force is strong enough to move the weight (mass?) of the entire system in an upward direction with what might be enough force to lift not only that system, but if I had several hands and could hold several large gyroscopes, there might be enough force to also lift me as well. Bingo! It is this strong upward force that *should* power the flying saucer in an upward direction. Now, can you explain why the flying saucer, rotating in the correct direction and with its flywheels spinning at a sufficient rate, will not lift itself against the earth’s gravity? Also, if the answer has something to do with gravity itself, then can you also explain why it wouldn’t propel a system in gravity-free space? This thing is easy to visualize, and hard to verbalize, and I hope I have been successful in explaining it to you. I hope this is worth your time, and I am looking forward to, and appreciate, your response. Ramone rrmerritt@worldnet.att.netReturn to Top
On Wed 1/1/97 12:54 GMT Lee Kent Hempfling wrote:Return to Top> A person who is confident in their knowledge tends to need to rant and > rave when others won't listen. Hello, Lee: Your statement affirms only one of many possible responses a confident person may exhibit in the given situation. -- Alan When you have a quiet moment, seek egolessness and remember that the human body and nervous system are merely the organic user interfaces that interpret holonomic materiality for a unique transcendental entity that emerges reciprocally within the pre-existing vital energy of uncreated absolute pure being.
In articleReturn to Topjpb@iris8.msi.com (Jan Bielawski) writes: > In article <141421356237310@einsteinium.universe> Carl Friedrich Socrates Einsteinium writes: > < In article <32BEC8B2.794BDF32@clipper.ens.fr> > < David A. Madore writes: > < > < > example, is one allowed to ask the question of whether Finite Integers > < > satisfy Fermat's Last Theorem? > < > < This is as ridiculous as asking how many angels can stand on > < a pin head, or how many letters will fit in a cubic centimeter. > > Why is it ridiculous? Tell us, does the number ...00001 exist? > What about ...0002 ? If you can conceive such numbers (I have no > doubt that you can) then there CAN'T be anything "ridiculous" about > asking whether such numbers satisfy a^n + b^n = c^n . > -- > Jan Bielawski > Molecular Simulations, Inc. )\._.,--....,'``. | http://www.msi.com > San Diego, CA Say Jan, I used to live in Coronado and could use some (free) pictures for my website autobio, of that Naval station situated across from Hotel Del, a little ways down south of Del where I went to SWOS school. I would love a picture of the waters from that Natl Monunment there? Cabrillo? Also a picture of the Naval Base where all the ships are docked. If possible, send to Archimedes Plutonium, c/o Dartmouth College, Hanover NH 03755 and it will get to me. Good to see that you Jan are not one tracked, like a RR but instead can lift yourself up from off the track and go another direction, as per, Democritus Uranium and cubic cm. The question put to you was -- is -- is Quantum Physics a redefining of Newtonian Physics. In another thread Einstein Dysprosium in Vietmath will be another article and I hope to seek out the help of Colin Douthwaite in possible ascii art of this. This is just the start and where it will end is a collection of Physics to Math Analogies showing that Naturals = P-adics
In article <5aedhv$po1@dartvax.dartmouth.edu> Archimedes.Plutonium@dartmouth.edu (Archimedes Plutonium) writes: > In another thread Einstein Dysprosium in Vietmath will be another > article and I hope to seek out the help of Colin Douthwaite in possible > ascii art of this. --- quoting from THE MECHANICAL UNIVERSE --- There are two possibilities. One of them is this. The loop is held stationary, not moving, and I take the magnet and I move the magnet into the loop. That causes the current to flow. Now that case the charges in the loop were not themselves in motion, so it can't have been the magnetic field of the bar magnet that made them move but since they did move There therefore was an electric field and so we conclude that a changing magnetic field, moving the bar magnet, created an electric field. And that of course was Faraday's great discovery of Electromagnetic Induction in the 19th century. And that is one explanation of that experiment. Now there is another completely different, independent explanation and that goes this way. Suppose instead I hold the bar magnet stationary and I move the loop. Now of course exactly the same thing happens. But in this case we have no moving magnet, no changing magnetic field , but instead, the charges in the loop are moving because I am moving the whole loop. They have the velocity v and this velocity crossed into the magnetic field of the bar magnet gives us a force which causes the current to flow and that also describes perfectly well the experiment that we just saw. So those two different phenomenon that is to say this, loop stationary and magnet moving and this, magnet stationary and loop moving are actually two completely distinct independent phenomenon that have completely different explanations. When Albert Einstein saw that he said look guys, you just got to be kidding any yoyo can see that those two things are the same thing . So it was this simple little experiment that was really the starting point of the theory of relativity, not the Michelson Morley experiment. Not some exotic experiment to detect the motion of the Earth through the ether. But this simple little phenomenon that of course everybody knew about, but which disturbed nobody else , except , Albert Einstein. And what disturbed Einstein was not that we had difficulty explaining this phenomenon this equation explains them perfectly in every case. What disturbed Albert Einstein was the lack of inner perfection of the theory and what he did in response was to produce a theory the Special Theory of Relativity which had just that kind of inner perfection. --- end quoting from THE MECHANICAL UNIVERSE --- The inner perfection How many people can see that the Successor Axiom of the Peano Axiom System is the same identical Series as the Series of the definition of what a P-adic, (an Infinite Integer) is. So far, I am the only and the first human to see that these two are identical. What does this mean? It means that Naturals are the P-adics and that the old Finite Integers were a imprecise and foggy unclear concept. Physics has inner perfection, and math does also, but of course math has inner perfection for all of mathematics is but a minor subset of physics. Math is physics only where the experimentation is usually just pen and paper. And no math theorem (theorems are fancy words for physics experiment using just pen and paper). No math theorem is as important as any physics experiment. Let me say that another way. All physics experiments are more important than any math theorem (experiment) because all physics experiments usually draw more than pen and paper and imagination into the experiment itself, and in the case of the above physics experiment they draw from the world magnets and loops and electrical devices. Would Colin Douthwaite or someone please draw a ascii picture of the professor moving a bar magnet through loop and then loop through bar magnet. Sincere thanksReturn to Top
Ramone (Ramone@worldnet.att.net) wrote: [snip the first part for now] : Now here's what I know about flywheels. If I have a gyroscope on my : desk and I hold it vertically and start the flywheel spinning, then if : I get the flywheel spinning fast enough I can release my hold on the : gyroscope and it won't fall over. Though it appears to me that it is : standing still, it's not really, as I will soon find out when the : flywheel slows down enough. As its rate of spin decreases, the free : end of the shaft of the flywheel begins to rotate in an : ever-increasing spiral until the gyroscope falls over. I think a few more experiments with good toy gyroscopes will answer some of your questions better than words from Usenet. : This spiral : rotation began as soon as I let the free end of the shaft go, although : the spiral movement was imperceptible until the flywheel slowed : enough. The rotation is a spiral only because the flywheel is slowing : down, and if I had a motor-powered flywheel I could make the free end : of the gyroscope rotate in a circle by keeping the rate of spin of the : flywheel constant. No, the spiral is the precession that occurs when gravity is exerting a force, and the precession results, when the axis was vertical, gravity was acting on both ends equally. First try having the axis of the gyroscope horizontal with the ball end in a depression on the end of a vertical rod. In this position, you must let the gyroscope precess, and the horizontal axis will stay horizontal. All this means is that in order for the unsupported end not to fall, the precession transfers the acceleration of gravity on the free end to the rotation. Then you can have the gyro spinning with the axis vertically, and hit the top or bottom sideways with a hammer, the axis will stay vertical even though the gyro is knocked sideways. I think Edmund Scientific has gyros, if you need their address, please let me know. But there is no way a gyro can do what you want, at least I don't think so, because my opinion of how gravity works prevents any kind of antigravity, sorry. Kenneth Edmund Fischer - Inventor of Stealth Shapes - U.S. Pat. 5,488,372 Who's Who of American Inventors Fourth Edition 1996-1997 Divergent Matter GUT of Gravitation http://www.iglou.com/members/kfischerReturn to Top
In article <59u8vk$e6f@dartvax.dartmouth.edu> Archimedes.Plutonium@dartmouth.edu (Archimedes Plutonium) writes: > So tell me David, is ....0002 the one and only one adic (take any > adic) which solves this encoding---- (2+2)^1/2 = (2X2)^1/2 = 2 ??? Is there a p-adic analogous to the Real 2.00... ? Every p-adic represented as ...002, say the 3-adic or the 5-adic or the 19-adic are all different. But is there a special and unique p-adic number which is analogous to the Real 2.00... and which satisfies (2+2)^1/2 = (2X2)^1/2 = 2 And , ((N+N)^1/N) = ((NxN)^1/N) = N reduces to (N+N) = (NxN) = N^N = M, provided if proper p-adic definition of exponential and logarithmic Anyone know that geometrical picture results when one takes only p-adics, no n-adics, just p-adics and keeps the digits fixed and then makes a geometrical explanation of these numbers. For example take the p-adic number of ....0002 in 3-adics, then 5-adics, then 7-adics ad infinitum. Keeping the _2_ fixed and varying the adic. What is the geometrical result?Return to Top
In article <59u8vk$e6f@dartvax.dartmouth.edu> Archimedes.Plutonium@dartmouth.edu (Archimedes Plutonium) writes: > >> (2+2)^1/2 = (2X2)^1/2 = 2 > > I know that, but tell me is ...0002 the only adic with that encoding. > The encoding > ((N+N)^1/N) = ((NxN)^1/N) = N is ...00002 the only adic with that > encoding? > > Back in 1993, I _learned_ that ...00002 was not the only adic of the > encoding > > k N = N^k as evinced here: > > >>FLT; however, you may be interested to know that other solutions > >>are possible if you allow those left-infinite decimal strings that > >>we discussed earlier. When k=4, there is a unique nonzero solution > >>to N+N+N+N = N*N*N*N = M. Here is the answer, worked out to 60 > >> > >> N = . . .8217568575974462578891103859665245689398767183 > >> 82655349981184 > >> M = . . .2870274303897850315564415438660982757595068735 > >> 30621399924736 ((N+N)^1/N) = ((NxN)^1/N) = N of course that has a unique solution in Reals/Complex of 2.000... (2+2)^1/2 = (2X2)^1/2 = 2 And , ((N+N)^1/N) = ((NxN)^1/N) = N reduces to (N+N) = (NxN) = N^N = M Is there a p-adic, forget all composite adics. which satisfies (N+N) = (NxN) = N^N = M and where there is not a unique solution? If the answer is that there exists no unique p-adic then the Riemann Hypothesis is False. The proof of Riemann Hypothesis as a true theorem depends on 2.00... being the unique solution to (N+N) = (NxN) = N^N = M. If there are no p-adic unique solution means that RH was false all along. The Euler formula is a multiplication and use of prime integers. IN the P-adics there are an infinitude of primes , and for 2-adics it is 2, for 3-adics it is 3 and 5-adics it is 5 and so on ad infinitum. I posed this question to David Madore before start of the holidays, and I pose it again. Can you adequately define exponential and logarithm in p-adics? What solutions exist for (N+N) = (NxN) = N^N = M in p-adics?Return to Top
In article <5acngd$eqv@juliana.sprynet.com>, 745532603@compuserve.com (Michael Ramsey) wrote: >In article <32c35915.32294712@ksts.seed.net.tw>, savainl@pacificnet.net >says... >> [snip] >>The much simpler explanation concerning the so-called "average >>distribution of matter in the universe" (really just a fancy name for >>distant stars) escapes them since it is filtered out by their >>preconceptions. The motion of distant stars is almost undetectable >>and thus they can be considered to be at absolute rest for all >>practical purposes. > >They are not at rest (hint: universal expansion). But even granted ... You don't know that they are not at rest. Self-assurance on the part of theorists notwithstanding, universal expansion is far from being proven, IMO. But that's another story. >>This immediately does away with the utterly >>nonsensical Machian notion of a causal link between distant matter and >>the bucket of spinning water. > >You lost me here. Why would "fixed stars" replacing the "average distribution >of matter in the universe" do away Mach's principle? I never intended to imply that Mach's principle is rendered invalid by the substitution you mentioned. I meant to say that all one needs to do to explain the curved surface of water in a spinning bucket is to postulate the existence of an absolute "frame." As simple as that. Postulates are not the exclusive domain of the exclusive relativists. If most relativists are willing to stand on their heads and do a neutron dance rather than postulate the obvious, that's their business. I am not constrained by such self-imposed shackles. It makes eminent sense to me that if absolute motion exists (I don't happen to agree with exclusive relativists that absolute motion is at odds with the principles of relativity), the motion of distant stars is so imperceptible from our vantage point as to render their frame of reference indiscernible from a postulated absolute frame. So, given a postulate of "absolutivity", it is not surprising, to me at least, that "fixed stars" seem to have a connection with inertia. The connection is indirect and is just one more evidence in favor of absolute motion. Best regards, Louis SavainReturn to Top
In article <5aalj3$ejj@topcat.uk.gdscorp.com>, steveg@uk.gdscorp.com (Steve Gilham) wrote: >savainl@pacificnet.net wrote: >> Velocity in time is not nonsense? If you mean motion along the time >> dimension, this would be bordering on the preposterous. > >I'm moving along the time axis at about 1 second per second. How >about you? Pure nonsense. Sorry. Best regards, Louis Savain "O judgment! thou art fled to brutish beasts, And men have lost their reason." W.S.Return to Top
In article <32C9407F.39E9@cdc.com>, Dave MonroeReturn to Topwrote: >Steve Gilham wrote: >> >> I'm moving along the time axis at about 1 second per second. How >> about you? >> > >It all depends on what I'm doing. Sometimes a second is gone all >too quickly, other times it seems to drag on . . . It does not depend on anything. There is no motion along the time axis for the simple reason that the time axis does not exist and the time axis does not exist because it is a entirely circular concept. It should be used only in an abstract fashion for the convenience of visualization. Sorry if the spacetime physicists forget to mention that obvious fact in their books. The glaring circularity of motion along the time axis notwithstanding, an awful lot of people cannot seem to grasp it. Could it be that the teachers themselves didn't see fit to mention it because they themselves never saw it. Such a waste of minds! Wake up folks! Best regards, Louis Savain "O judgment! thou art fled to brutish beasts, And men have lost their reason." W.S.
In article <32CA9D09.4667@efgh.net>, AnonymousReturn to Topwrote: >The limit of 1/x as x --> 0 is infinity. > > >-X If x is real and approaches zero through positive numbers, then the limit is +infinity; however, if it approaches zero through negative numbers, then the limit is -infinity. Herb -- Herbert I Brown hibrown@math.albany.edu (518) 442-4640 Math Dept, The Univ at Albany, Albany, NY 12222 ----------------------------------------------------------
Im Artikel <32CAB5B0.78FD@mindspring.com>, Richard MentockReturn to Topschreibt: >Bode's law as originally proposed (see Physics of the Earth, Stacey, >1992), was a simple progression that matched the distribution of >planetary radiuses (sic). It doesn't explain anything, but many >have tried to explain *it*, in terms of physical interactions that >might result in a regular spacing. This is like the situation in >chemistry where regularities in the spectral lines were eventually >explained by quantum mechanics. > >Bodes law was of the form (a + b * 2^n) where n is 1,2,3,...(Earth >is 3). > >My post about Bode's law was that it is improved if you just >assume that the *periods* of the planets double each planet, with >*two* asteroid belts. Thanks very much, quick and precise, and even I understood it this time ;-). So there is a regular pattern just as Ray suggests. And as it happens, it would match what any string instrument player learns, wouldn't it? Usually one should think, that *if a law is found, lots of people should be interested in an explanation behind it. Well, in case of Newtons 'action at a distance' it took some years, and there's people claiming, that Einsteins explanation is not the real one. Hmm. Anyone else confused but me :-) Cheerio The most dangerous untruths are truths slightly deformed. Lichtenberg, Sudelbuecher __________________________________ Lorenz Borsche Per the FCA: this eMail adress is not to be added to any commercial mailing list. Uncalled for eMail maybe treated as public.
Im Artikel <32ccc0e8.8298262@netnews.worldnet.att.net>, Ramone@worldnet.att.net (Ramone) schreibt: > >If I have a rotating flywheel with one end of its shaft fixed at a >point and I cause a force to act against the free end of the shaft in >a direction perpendicular to the centerline of the shaft, then the >free end of the shaft will move at a 90-degree angle from the >direction of the force and in the direction of the rotation of the >leading edge of the flywheel. I understand this and I can visualize >why it does so. In the above paragraph your answer is hidden: ... its shaft fixed at a point .... Where is the point, the flying saucer is fixed to? All the rotation given can only prevent the saucer from topping over (thats why bullets are made to turn around the path-of-flight axis), but nothing can prevent it from just falling down. Any movement, a gyroscope will evade to make, is an angular one (except in direction of its own axis, no prevention there), but towards a straight one in either of its 3 axis a gyro behaves just like any other lump of matter. Cheerio The most dangerous untruths are truths slightly deformed. Lichtenberg, Sudelbuecher __________________________________ Lorenz Borsche Per the FCA: this eMail adress is not to be added to any commercial mailing list. Uncalled for eMail maybe treated as public.Return to Top
In article <19970101151400.KAA11186@ladder01.news.aol.com>, jmfbah@aol.com (JMFBAH) writes: >In articleReturn to Top, >meron@cars3.uchicago.edu wrote: > , > ><>So how do you get to a definition of foe? It certainly is a good first ><>pass to use the NOT(friend) construct to begin to simplify the foe ><>definition. > > < > >With the above definition of foe, I agree. But this definition of foe has >the constraint of events in the past (experience). Nothing has been >defined in terms of events that may happen in the future (prediction). >Therefore, isn't the NOT(friend) = foe construct valid for all time t as a >first pass? It depends. You always have to weight the risk of false positives versus false negatives. By ignoring the possibility that somebody may be a foe, until evidence is provided, you expose yourself to danger. By considering as a foe somebody who isn't, you may eventually turn him into a foe. So circumstances are important. Suppose you live in a very violent and agressive society, where there is a significant chance that any stranger may be dangerous. In such situation it'll be prudent to consider any NOT(friend) to be a foe until proven otherwise. On the other hand, in a very peaceful society the opposite approach may be better. So, you really cannot escape getting past experience into consideration, though now it is a more generalized past experience. > >[P.S. There is a method to my madness, but, if you wish to stop, just let >me know.] > Its OK, we're all mad here. Mati Meron | "When you argue with a fool, meron@cars.uchicago.edu | chances are he is doing just the same"
In article <19970101183200.NAA16378@ladder01.news.aol.com>, lbsys@aol.com writes: >Im ArtikelReturn to Top, meron@cars3.uchicago.edu >schreibt: > >>>Hey, have you ever heard of 'propaganda'? I think, >>>this is one of the great tricks: to prove your own >>>position, negate a reversed (and clearly false) >>>position - whooopy, your position comes TRUE! >> >>"But Brutus and Casius say so. And they're honorable men" > >Reminds me of a Berlinian derivation of one famous German saying to make >it fit in the 'dark ages' some sixty years ago: > >The original saying is: "Luegen haben kurze Beine" (Lies do have short >legs, meaning they won't go far). Now the 'Secretary of Propaganda' >(Official title!) Joseph Goebbles was known to limp because of a gumpy >leg. Thus the Berlinian with their sharp sense of humour said (very >quietly whispering this only into good friends ears): "The lie has a short >leg". Public wisdom, for which you could go to jail... dark ages, as I >said.... > I gather you had to make really sure that the person you whispered to was indeed a friend. Yep, dark ages indeed, and it wasn't that far back. Mati Meron | "When you argue with a fool, meron@cars.uchicago.edu | chances are he is doing just the same"
In article <19970101153500.KAA11730@ladder01.news.aol.com>, jmfbah@aol.com (JMFBAH) writes: >In articleReturn to Top, > meron@cars3.uchicago.edu wrote: > , > ><>In the case of radio waves, some enterprising ><>person had to manufacture the equipment, produce test results, and ><>document _both_ the equipment and data. Replication would, therefore, ><>take longer (since the equipment had to be manufactured) and >verification ><>of the data would also involve verification of the function of the ><>equipment. > > >Given our parallel conversation about the NOT(friend) = foe... >If I understand how funding a research project works, stuff is getting >expensive these days, requiring lots of money. Very much so. >Getting money requires time and effort, which is finite. Indeed. >So getting money takes away an amount of time/effort from the research. More than you can imagine. Lots of people are so busy getting money that they've no time whatsoever left for research. >To maximize research time/money, only the projects that are "acceptable" >to a bureaucracy are funded. This is disconcerting. "Disconcerting" is an understatement. "Potentially disastrous" is more like it. >I propose that bureaucrats also take Mr. Green's course (a smiling >emoticon here). Couldn't agree more. But, how to make it happen? Mati Meron | "When you argue with a fool, meron@cars.uchicago.edu | chances are he is doing just the same"
In article <19970101183200.NAA16368@ladder01.news.aol.com>, lbsys@aol.com writes: >Im ArtikelReturn to Top, meron@cars3.uchicago.edu >schreibt: >>The NIH is the National Institute of Health in the states, >>the center for most medical research activity. In >>recent years there were quite a few scandals having >>to do with fraud in research either performed at or >>sponsored by the NIH. > >Thanks for clearing up who's who :-) > >>Namely, they think that the purpose of research is >>to prove that your theory is right, not to find out whether >>your theory is right (which is what it should be). This little >>difference is dangerous. > >Could all easily be avoided by using a Popperian approach: try to >*disprove* your hypothesis (and that's still in the range of our present >discussion: the fundamental asymmetry between something and it's >negation). > Yep. But, in an environment where the primary function of a researcher is to secure funding (see the parallel track of this discussion, with JMFBAH), disproving you hypothesis is considered bad politics, as it tends to displease the bureaocrats. Mati Meron | "When you argue with a fool, meron@cars.uchicago.edu | chances are he is doing just the same"
In article <5aeect$hij@dartvax.dartmouth.edu> Archimedes.Plutonium@dartmouth.edu (Archimedes Plutonium) writes: > How many people can see that the Successor Axiom of the Peano Axiom > System > > is the same identical Series > > as the Series of the definition of what a P-adic, (an Infinite Integer) > is. Let us define a p-adic, p is prime and there are an infinitude of primes. These primes come from the Real+i+j system in 1.00..., 2.00..., 3.00..., 4.00..., ad infinitum of 2.0..., 3.0...,5.00... ad infinitum. P-adic is a Series defined as such (where the radix point and the finite portion is finite since p-adic is prime) ......... (a_2)p^2 + (a_1)p^1 + (a_0)p^0 + (a_-1)p^-1 + ... + (a_-r)p^-r where a_i element {0,1,..,p-1} For example ....231.4 in 5-adics is ....... 2x5^2 + 3x5^1 + 1x5^0 + 4x5^-1 YOU CAN REPRESENT EVERY P-ADIC AS A SERIES ..........+ 5^3 + 5^2 + 5 + 1 Peano Successor Axiom is a Series of adding 1 endlessly Peano Successor Axiom ....... + 1 + 1 + 1 + 1 + 1 + 1 Both the definition of a p-adic and the Successor Axiom are identicalReturn to Top
John SeftonReturn to Topchimes in with more nonsense: >Anonymous wrote: >> >> snelson@hawaii.edu wrote: >May I add my 2 sents? sense? Cents, dimbulb. Or, in your case, scents, since you're stinking up the newsgroup with your drivel. >My 'Galaxy Model' for the atom indicates that the next great Age will be >the 'Age of Crystals'. You can access it and my gravity theory at >http://www.petcom.com/~john but basically it says that the smallest >complete unit IS the atom, and the smallest unit of the atom is another How interesting! You're only a half-century or so behind the curve, JohnBoy. >atom. Galaxies are atoms and vice-versa. Atoms are complex spinning >discs containing life and intelligence and galaxies are spherical over >time; their spinning discs revolving like a coin spinning on the table. >Crystals are atoms whose discs are revolving in tandem- sharing their >energies somehow. Imagine millions of Milky Ways connected in a lattice >like a diamond. Would their be any more potential? Orrrr... do WE have Yeah, right. Where do all these maroons come from, anyway? -- glenq@cyberhighway.net "GLEN QUARNSTROM" for all my Bell-Basher Fans.