Vampyr Posted April 11, 2013 Report Share Posted April 11, 2013 Poor old Sir Isaac Newton, misled by some foreigners! Well, I was not talking about mathematicians, and was also describing a course of events that I have seen in my lifetime -- which does not overlap Newton's! Quote Link to comment Share on other sites More sharing options...
gwnn Posted April 11, 2013 Author Report Share Posted April 11, 2013 Well, I was not talking about mathematicians, and was also describing a course of events that I have seen in my lifetime -- which does not overlap Newton's!I thought you were describing something that had never occurred until recently and I found some native English-speakers who have done it and not just recently. A quick Google books search has revealed results from each decade in the past five, as well as each century since Newton. So it has been around for at least five hundred years, most likely without interruption. Of course you can say that by 'adopt' you just meant that a certain number of people use it, fair enough (I cannot prove you right or wrong on that), but do we have to blame it on the non-native speakers? Quote Link to comment Share on other sites More sharing options...
kenberg Posted April 11, 2013 Report Share Posted April 11, 2013 Agree with Ken that realtors are some of the most deliberately deceitful businesspeople out there, right up with car salesmen and carnival barkers.The house we bought a few years back advertised passive solar heating. As near as I can tell, this means that it has windows. 2 Quote Link to comment Share on other sites More sharing options...
barmar Posted April 12, 2013 Report Share Posted April 12, 2013 Percentages were invented (perhaps as far back as Ancient Rome, per Wikipedia) because they're easier to work with than fractions, especially for businesses, which have an economic interest in efficiency. They became standard in textbooks starting in the Middle Ages.It doesn't say that Rome used percentages, it says that it was common to use fractions whose denominators were 100. It's not clear how they make business more efficient -- when you do the calculations, you have to convert into decimals or fractions. They just change the way some numbers are presented in text -- you say "12% annual interest" instead of "interest is 0.012 x principle". My related pet peeve: real estate tax rates in Massachusetts are specified per $1,000. Why not per 100, so they can just use percentages? I wonder if some anti-tax lobby had them do this, since it makes the taxes look larger if they have to say $13.61 instead of 1.361%. Quote Link to comment Share on other sites More sharing options...
gwnn Posted April 13, 2013 Author Report Share Posted April 13, 2013 I hate different brackets for the same function, i.e. {5+6*[5-4/(5+2)]} or something. [] should be reserved for the arguments of functionals (ok and another bunch of stuff of course) and {} should be reserved for sets (and another bunch of stuff of course). Using them like this is just confusing. You can draw bigger round brackets if you like. And yes I know that it's kind of standard and probably Isaac Newton also used them that way. Quote Link to comment Share on other sites More sharing options...
kenberg Posted April 13, 2013 Report Share Posted April 13, 2013 I hate different brackets for the same function, i.e. {5+6*[5-4/(5+2)]} or something. [] should be reserved for the arguments of functionals (ok and another bunch of stuff of course) and {} should be reserved for sets (and another bunch of stuff of course). Using them like this is just confusing. You can draw bigger round brackets if you like. And yes I know that it's kind of standard and probably Isaac Newton also used them that way. When I took algebra in 1952 we were given a priority list: w[v+x(y+z)] was right, w(v+x[y+z]) was wrong. After [ ] came { }. I associate this with Movietone newsreels at the theater and Patti Page singing How Much Is That Doggie in the Window. Quote Link to comment Share on other sites More sharing options...
gwnn Posted April 13, 2013 Author Report Share Posted April 13, 2013 That's also what I learned in the 90's but then my Computer Science teacher made me realise how strange a convention it is :) Quote Link to comment Share on other sites More sharing options...
GreenMan Posted April 13, 2013 Report Share Posted April 13, 2013 It doesn't say that Rome used percentages, it says that it was common to use fractions whose denominators were 100. It's not clear how they make business more efficient -- when you do the calculations, you have to convert into decimals or fractions. They just change the way some numbers are presented in text -- you say "12% annual interest" instead of "interest is 0.012 x principle". If you were using fractions, as you were suggesting earlier, the last would be "interest is 3/25 of principal" which requires more calculations (one each for the numerator and denominator) than starting with decimal numbers. And if the interest rate had more significant figures you could end up with fractions with 5 or more digits in either field. I don't think "fear of fractions" explains any reluctance to work with them on that scale. Quote Link to comment Share on other sites More sharing options...
kenberg Posted April 14, 2013 Report Share Posted April 14, 2013 My related pet peeve: real estate tax rates in Massachusetts are specified per $1,000. Why not per 100, so they can just use percentages? I wonder if some anti-tax lobby had them do this, since it makes the taxes look larger if they have to say $13.61 instead of 1.361%. Just as a guess, I would say that it is because prices are often phrased in terms of thousands. If the tax is $13.61 per thousand and the property is valued at three hundred thousand dollars, presumably just about everyone understands that the tax is calculated by multiplying $13.61 by three hundred. For some reason there are a lot of people who have a mental collapse when percentages are mentioned, even some who in other respects appear to be quite capable. If you tell them the tax is 1.361% of the valuation they will have to call someone in for a translation. I don't understand why this happens, but I have seen it and I bet you have seen it. I think I mentioned a while back that at the Y I was in an exercise and weight loss program, and we got weekly reports of our weight loss as a percentage of our initial weight. A man was given the task of calculating these numbers, I would bet because it was thought to be too difficult for women. I don't know if it was too difficult for the women but it definitely was too difficult for him. 2 Quote Link to comment Share on other sites More sharing options...
Mbodell Posted April 14, 2013 Report Share Posted April 14, 2013 I hate different brackets for the same function, i.e. {5+6*[5-4/(5+2)]} or something. [] should be reserved for the arguments of functionals (ok and another bunch of stuff of course) and {} should be reserved for sets (and another bunch of stuff of course). Using them like this is just confusing. You can draw bigger round brackets if you like. And yes I know that it's kind of standard and probably Isaac Newton also used them that way. Wow, I've literally never heard of that before in any math notation. Having coded a bit in lisp I'm completely fine with lots of nested (). Quote Link to comment Share on other sites More sharing options...
Mbodell Posted April 14, 2013 Report Share Posted April 14, 2013 My related pet peeve: real estate tax rates in Massachusetts are specified per $1,000. Why not per 100, so they can just use percentages? I wonder if some anti-tax lobby had them do this, since it makes the taxes look larger if they have to say $13.61 instead of 1.361%.Just as a guess, I would say that it is because prices are often phrased in terms of thousands. If the tax is $13.61 per thousand and the property is valued at three hundred thousand dollars, presumably just about everyone understands that the tax is calculated by multiplying $13.61 by three hundred. For some reason there are a lot of people who have a mental collapse when percentages are mentioned, even some who in other respects appear to be quite capable. If you tell them the tax is 1.361% of the valuation they will have to call someone in for a translation. I think it is because a mil (1000th of a dollar) is the smallest amount of currency. It was actually called out as such in the 1786 Continental Congress and is still commonly in use for some utilities, property tax, gasoline, and the cash value of coupons. See Wikipedia article on Mill currency. Quote Link to comment Share on other sites More sharing options...
barmar Posted April 15, 2013 Report Share Posted April 15, 2013 Wow, I've literally never heard of that before in any math notation. Having coded a bit in lisp I'm completely fine with lots of nested ().Good Lisp programmers use indentation to make the nesting more obvious, and use editors that assist in making the indentation match the parenthesis nesting level. But when formulas are written linearly, in a font that doesn't allow for increasing size of parentheses, using different types of brackets makes the nesting clearer. A number of Lisp implementations and dialects (e.g. Clojure) explicitly allow use of square brackets equivalently to parentheses. Quote Link to comment Share on other sites More sharing options...
kenberg Posted April 15, 2013 Report Share Posted April 15, 2013 In Mathematica, [ ], ( ) and { } have totally different uses. Some, my wife for example, object. I think it is terrific.. Quote Link to comment Share on other sites More sharing options...
gwnn Posted April 15, 2013 Author Report Share Posted April 15, 2013 I would get a divorce. :P 1 Quote Link to comment Share on other sites More sharing options...
y66 Posted April 15, 2013 Report Share Posted April 15, 2013 Divorce seems drastic but I understand it. Not making distinctions between [] () and {} is 1000x worse than saying tomahto instead of tomato. She probably doesn't like the Python programming language either. Quote Link to comment Share on other sites More sharing options...
kenberg Posted April 15, 2013 Report Share Posted April 15, 2013 Divorce seems drastic but I understand it. Not making distinctions between [] () and {} is 1000x worse than saying tomahto instead of tomato. She probably doesn't like the Python programming language either. I plan to learn Python. Right after I read Moby Dick. It's good to have long term plans. Quote Link to comment Share on other sites More sharing options...
gwnn Posted April 26, 2013 Author Report Share Posted April 26, 2013 Physicists whining if anyone dares to measure 'weight' in kilograms yet happy to measure energy in kelvins, nanometers, cm^-1, ... Quote Link to comment Share on other sites More sharing options...
mike777 Posted April 26, 2013 Report Share Posted April 26, 2013 Physicists whining if anyone dares to measure 'weight' in kilograms yet happy to measure energy in kelvins, nanometers, cm^-1, ... fwiw thought physicists all about measure...that was the main point. now you say no measure...contrast, compare Quote Link to comment Share on other sites More sharing options...
gwnn Posted April 26, 2013 Author Report Share Posted April 26, 2013 http://www.colby.edu/chemistry/PChem/Hartree.htmlhttp://www.highpressurescience.com/onlinetools/conversion.html And a few other sites like this... Yes physicists like to measure but would it be too much to ask to use settle on the units? OK I usually work in atomic units but that's just to make the Schrödinger equation easier to write. Quote Link to comment Share on other sites More sharing options...
kenberg Posted April 26, 2013 Report Share Posted April 26, 2013 Physicists whining if anyone dares to measure 'weight' in kilograms yet happy to measure energy in kelvins, nanometers, cm^-1, ... Being an American, I never measure my weight in kilograms so this will make them happy? Weight, weight, don't tell me. As for kelvin, it has been a while since I thought of such things. Looking it up on the Wikipedia led me to thermodynamic temperature, http://en.wikipedia.org/wiki/Thermodynamic_temperature, where we find: Temperature arises from the random submicroscopic vibrations of the particle constituents of matter. These motions comprise the kinetic energy in a substance. More specifically, the thermodynamic temperature of any bulk quantity of matter is the measure of the average kinetic energy of a certain kind of vibrational motion of its constituent particles called translational motions. find[/Quote] "arises from" falls short of "is defined as". Nor does the rest really clear it up. I wouldn't expect a fundamental unit to be a ratio, but it must be. If you have twice as much substance, you don't have twice as much temperature so I guess it is average kinetic energy per atom or per mole or per something. But it also sounds as if only certain types of energy, the vibrational motion, is to be counted. Surely there is a precise defintion somewhere, but I am not seeing it in the Wik reference. Quote Link to comment Share on other sites More sharing options...
Trinidad Posted April 26, 2013 Report Share Posted April 26, 2013 Physicists whining if anyone dares to measure 'weight' in kilograms yet happy to measure energy in kelvins, nanometers, cm^-1, ...In my work I measure energy in eV (electronvolt). Particle physicists measure mass in eV (E=mc2). I would say that most physicists don't care so much whether people in everyday life measure their weight in kilograms or Newtons. However, physicists do care that kids are taught the fundamental difference between mass and force. That works fine in the SI (metric) system. In the imperial (pound-foot-second) system this is problematic. The use of pounds as a unit of mass and a unit of force is confusing and that is plain ... well ... let's call it unfortunate. I can easily imagine that -through a slip of the tongue- when talking to a colleague I might express mass in eV, but in a completely different way from the particle physicists (and my conversion from mass to energy is not linear). Rik _____________________________________________________________________________________ For those who might be interested (if not stop reading right here):I work with an analysis technique called Low Energy Ion Scattering (LEIS). It is a technique for the chemical analysis of surfaces. In the analysis a light ion is aimed at the surface and collides with an atom at the surface of the sample (nothing nuclear or quantum physics, just two balls bouncing against each other). These collisions at an atomic level are just like collisions between macroscopic objects: If I throw a tennis ball against a bowling ball, the tennis ball bounces back. If I throw a bowling ball at a tennis ball, the bowling ball does not bounce back. And a tennis ball thrown at a bowling ball will come back faster than a tennis ball that is thrown at a soccer ball. How fast the tennis ball is coming back depends on the mass of the tennis ball, the energy (or velocity) of the tennisball when I threw it and the mass of the ball that it bounces of. So, by measuring the energy (or velocity) of the tennis ball as it comes back, I can tell the mass of the ball that it bounced against. In LEIS analysis, we know the mass of the ions that we are shooting at the surface and we know their energy (velocity). We then measure the energy they have after they have collided with the surface atom. If they come back with almost the same energy then they must have collided with a heavy atom (bowling ball). If they have lost a lot of energy they must have collided with a light atom (soccer ball). So, the ion's energy after the collision is a measure for the mass of the atom at the surface of the sample. In that way we can determine what elements are at the sample surface and how much there is of each element. For the freaks I will give the equation that relates the mass of the surface atoms to the energy of the ions after the collision (just to show that it is not linear): mat=mion*(Eion/Eo-2*sqrt(Eion/Eo)*cos(alpha)+1)/(1-Eion/Eo) In this equation:mat= mass of the atom at the surfacemion= mass of the ion used in the analysisEion= energy of the ion after the collisionEo= energy of the ion before the collisionalpha = the angle between the ingoing and outgoing trajectory of the ion. If the ion flies straight, the angle is 0 degrees. If the ion comes right back, this angle is 180 degrees. Our instrument measures the ions at an angle of 145 degrees. The standard analysis is performed by using He-ions (mass = 4 amu) with an energy of 3000 eV. Therefore, I could imagine that I would say to a colleague that Si (28 amu) has a mass of about 1700 eV whereas 16O has a mass of 1100 eV. Nonsense, of course, but my colleagues would understand what I meant. Quote Link to comment Share on other sites More sharing options...
gwnn Posted April 26, 2013 Author Report Share Posted April 26, 2013 Boltzmann's constant times the temperature gives you the average kinetic energy (times some constant depending on the degrees of freedom.. I think) of particles. k_B*T is a good measure of what kind of transitions a particle can spontaneously perform. E.g. if you want to make two things stick together you will want the bonding energy to be much larger than k_B*T. http://en.wikipedia.org/wiki/Boltzmann_constant On topic: I hate people with umbrellas in crowded places. They should get shot immediately. Once we were singing the National Anthem in some open space and in the middle of the first stanza three drops of rain fell down. Everyone rushed to open their stupid umbrellas, thereby ruining the solemnity of the moment and, almost as bad, poking several people in the eyes. Quote Link to comment Share on other sites More sharing options...
Trinidad Posted April 26, 2013 Report Share Posted April 26, 2013 On topic: I hate people with umbrellas in crowded places. They should get shot immediately. Once we were singing the National Anthem in some open space and in the middle of the first stanza three drops of rain fell down. Everyone rushed to open their stupid umbrellas, thereby ruining the solemnity of the moment and, almost as bad, poking several people in the eyes.Was that in The Netherlands? In my experience the Dutch hardly* use umbrella's. They tend to use rain coats/suits instead. Rik * Hardly is relative. It rains often in The Netherlands. :( Quote Link to comment Share on other sites More sharing options...
gwnn Posted April 26, 2013 Author Report Share Posted April 26, 2013 Sure Trinidad, but saying 'actually kilograms refer to mass and not weight' has always sounded elitist to me (apart from being wrong). Wouldn't it be better to start by saying 'in Physics, (...)'? Physicists do not get to define words (linguists also not). And this is even on top of the point that it is not even incorrect to talk about a force in terms of mass, space in terms of time, pressure in terms of length, ... Your relation between energy and mass is quite funny, though :) edit: the umbrella story was in Romania. Quote Link to comment Share on other sites More sharing options...
kenberg Posted April 26, 2013 Report Share Posted April 26, 2013 It is reasonable to hope that a student, before finishing high school, learns that his weight varies according to which planet he is on, his mass does not. I took this to be Trin's point regarding what physicists care about. It seems right. How important is it? Well, for a U.S. student maybe it's less important than knowing what happened in 1776, and more important than being able to recite Ode On a Grecian Urn from memory. But my views here may be influenced by my own knowledge of 1776 and my general vagueness about poetry in general and Grecian Urns in particular. Quote Link to comment Share on other sites More sharing options...
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