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DJBruce

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Posts posted by DJBruce

  1. According to the above 48/2 could be 24 ,or (48/1).2 = 96 ??, depending on what the author means ??

     

    Since 2 = 1.2 ??

     

    No, what you have are two different expressions. Since [math]2=(1*2)[/math] you could write 48/(1*2), which would be 24.

     

    Further more [math]\frac{48(x-a)^2}{(x-a)}[/math] could be 24(x-a)

     

    Ahh, not it cannot.

     

    [math]\frac{48(x-a)^2}{2(x-a)}[/math] = [[math]\frac{48(x-a)^2}{2}[/math]].(x-a) = [math]24(x-a)^3[/math]

     

     

    No it could not unless you completely change the standard convention of what the notation of [math]/frac{a}{b}[\math] means.

  2. ermm.. so u can do 'rearrange' part???

     

     

    the point is, i never know that, that's why i use calculator, thnx for the calculation and yes, it's helpfulbiggrin.gif

     

    Yes, you can do the rearranging part since [math]log(a)[\math] just represents a real number you still have the commutativity of multiplication.

  3. I am not really sure what you were trying to do, because your work is not correct the second line is not really needed to solve this equation.

    As for solving this why not try so of the properties of logs. For example,

     

    [math]log(a)-log(b)=log(\frac{a}{b})[/math]

     

    might be useful since you could then combine the entire left side of the equation into one log meaning you could "delogify" ie: take the inverse of both sides to end up with a fairly easy equation to solve.

     

    This is to much like homework for me to do any more, but if you post you work, or have any question feel free to ask.

     

    Yep, thats right, but your second step is really not needed.

  4. So I have an SFN blog, and when I go through SFN it shows that I have a certain username attached to a certain email address, but when I go to login at Wordpress directly it does not think that this email address is registered. Are the SFN blogs separate from Wordpress and if so is it possible to combine them so that you can access them from Wordpress?

  5. In my experience most professors I have encountered are more than willing to not only help students who ask for help, but are also willing to go above and beyond for their students. So to paint the image that all professors don't care about their students is in my opinion a little hasty generalization. From what I have seen often those who have problems with professors do so not because of the professor, but often because of their own actions. Students often do not seek help until it is to late -ie: the day before or day of an exam-, expect professors to spoon feed them material, want professors to go over the lectures because they are continually absent, or expect professors to magically fix their grade at the end of the semester. In any of these situations I do not blame professors for being less than helpful, and these are the things that often get professors the rap of being "bad".

     

    On the not of professors making the exams hard and curving it is necessary because if the purpose of the purpose of an exam is to delineate between those who have mastered the material, and those who haven't then an incredibly easy exam where everyone does well does not actually fulfill its purpose.

     

    I know at least in mathematics department at my university upper level undergraduates are hired to be course assistants. These course assistants are required to hold office hours and give a out of class lecture on something related to the class. They also grade some of the homework, occasionally fill in for the professor, and serve as a general mentor to all of the kids in the class. I found them really helpful because they are great resource to go to about general questions that you might not want to ask a professor.

  6. I am not an expert on monetary policy, however, I feel that the USD will rise out of the current trouble it is in. If we look at the USD Index we see that over the last half a month the dollar has made a slight comeback hitting right above 75. Granted that this is by no means a huge rally, nor is 75 great, however, we have not dropped bellow our lowest index point, and I would like to give it a little time to see if this rally continues. I doubt that we will rebound to a great level, but I would bet that the dollar will increase and stabilize in the near future. Also some experts are believe that the USD will increase on the EUR in the next year, which will definitely help our currency. As for the dollars relation to oil I do think there is some relation between the two, but I am not sure how strong this is. Also I feel that oil prices will also drop once the Middle East calms down. Who knows when this will be, but when it does I expect oil prices to fall just as they did earlier in the decade, and I would expect that you help the dollar as well.

     

    To some extent our economy is built upon future and/or "imaginary" funds, but then the entire idea of money and an economy is built upon peoples belief in it. In my opinion some level of imagery funds is healthy, and important for our economy the problems occur when people purposely use creative/fraudulent accounting to hide losses, and people then lose their confidence in the market.

     

    http://www.bloomberg.com/apps/quote?ticker=DXY:IND

    http://video.cnbc.com/gallery/?video=3000021724

  7. So I am trying to create a Mathematica program where I will give it a set of data, and a desired radius. The program will then create a new data point at each a position on a circle with desired radius, and calculate the spatial median median for the original data set, and the that new point. It will then create a new point on the circle, and calculate the spatial median for the the original data set and this second point. It will continue to do this going all around the circle, and then when it is done it will graph the original data set, along with all of the spatial medians it calculated.

     

     

    My code is:

    << MultivariateStatistics`
    f[r_, Data_] := (temp = 0, x = 0, y = 0; 
     While[temp > 
       360, {x = r*cos (temp Degree),  y = r*sin (temp Degree), 
    	Med = {SpatialMedian[Data, {x, y}]}}   temp++]; Med)

     

     

     

     

    Can anyone help, or provide some good resources for programing in Mathematica?

  8. If the employers were Cherokee people maybe then this uncle would have an edge . If Donald Trump spoke Cherokee would the apprentice learn Cherokee ? Why is it always about personal gain ? If this uncle was in the pub ( bar in the U.S. ) couldn't he just have a beer with the Cherokee lads and talk about the weather ?

     

    Well yes if a lot of people spoke Cherokee then it would be useful, but currently there are not many Cherokee people around -yet alone people who fluently speak Cherokee. The Cherokee Nation has roughly 300,000 members, which means that they make of roughly .09% of the US population, and they are generally located in Oklahoma so the usefulness of the language, and the chance of meeting someone in the bar who speeks Cherokee is incredibly slim for most people.

     

    Everything does not have to be about personal gain, but teaching someone Cherokee really has no overall gain in my opinion.

  9. perhaps divide the electron charge into the systems charge...

     

     

    Yep, thats how you would do it! Since if do that you would have:

     

    [math]\frac{Charge}{\frac{Charge}{Electron}}=Electrons[/math]

  10. Actually I don't think India was a country when the Americas were founded.

     

    [edit] Looking for etymology on Indian because it was bothering me, I can't find anything except that explorers did think they were in India. I don't remember where I read that this was a misconception. [/edit]

     

     

    India in the modern sense of the country did not exist, but the region referred to as the Indies certainly did. As for the origin of the word Indian I am not sure how it was derived, but Christopher Columbus did write in his log, "En 33 días pasé de las islas de Canaria a las Indias" and "A la primera que yo hallé puse nombre San Salvador [isla Watling] a comemoración de Su Alta Majestad, el cual maravillosamente todo esto ha dado; los Indios la llaman Guanahaní." So we see that it does appear he used the what we would translate as Indian to describe the inhabitants of the New World.

     

    http://abc.gov.ar/docentes/efemerides/12deoctubre2009/descargas/europa/carta_colon.pdf

    http://es.wikisource.org/wiki/Carta_de_Cristobal_Col%C3%B3n_a_los_Reyes_Cat%C3%B3licos_anunciando_el_descubrimiento_de_Am%C3%A9rica

     

     

    Some level of Mandatory native American languages should be taught to everybody . It would be a sign of respect for the history of the land and the people who were there before the Europeans .

     

     

    North America has significant portions of its history where Spanish, English, French, and numerous Native American dialects have been spoken should we not respect the people who were here before us by learning all of those languages? Also if you are going to learn a Native American dialect, which one would you learn? Surely, you could not expect everyone to learn them all, and this means that numerous different distinct cultures would not receive the respect you think studying these languages would give them. Finally, I believe you can show respect for other cultures without mandating that people learn their language. For example, studying their history and culture -which most schools already do- would in my opinion show respect to those that came before us.

  11. Look at your third line of equations; you simplified your factorials incorrectly.

     

    [math]\frac{(2n+1)!}{(2n+3)!}= \frac{(2n+1)(2n)...}{(2n+3)(2n+2)(2n+1)...1}[/math]

     

    If you correct this you should notice that it works out correctly. However, don't forget to check your endpoints.

  12. Personally I feel that for the most part our schools, America, have a fairly good balance between the various subjects. At least in my area the basic high school ciriclulum requires:

     

    -2 Years of Foreign Language

    -4 Years of English Literature, Language, and Composition

    -3 Years of Science and Math

    -2 Years of History/Civics

     

    I believe that there is a lot to be gained in a well rounded liberal arts education because through exploring various different subjects we allow students to practice various patterns of thinking and argumentation. To be fair I admit that not all of this has a practical application. For example, literary analysis does not have a practical purpose in most peoples lives, but then again neither does calculus, however, both of these subjects help teach students how important ways to think and analysis things that are invaluable in the real world.

     

    That being said the thing I would do to the curriculum is to first shift everything forward about 2 years meaning that by time students graduate high school the average student should have complete calculus, and a fairly rigorous science and language requirement. While the advanced students -currently those who take AP's- graduate having finished multivariable, linear algebra, and what is currently college level sciences. While doing this I would also want to raise standards in two ways. First I would actually like to have a good process of holding those kids back who do poorly, without having them drop out. Secondly, I would want to separate students based on ability since this would then force the best students to actually have to work since they can no longer count on the fact that the worse students will just make them look good. A final thing I would like to do is make it so to fulfill graduation requirements students must actually take a rigorous course in that area. For example, currently at my University every student is required to take 10 credits of humanities, social sciences, and natural sciences, however, for some reason it is possible to fulfill your natural science requirement with mini-courses like "Dinosaurs and Other Failures" and "Aliens". If I had my way students would actually have to take things like physics, chemistry, or biology instead of simply taking blow off classes since science might be hard for some.

  13. So what areas, and/or topics in mathematics are you all interested? Analysis, Algebra, Algebraic Geometry, Number Theory, Applied Maths, etc..

     

    Personally I am not at a point where I am absolutely sure what I am interested in, but from my limited experience analysis, algebraic geometry, and number theory all seem to be towards the top of my interest list.

  14. Personally, I find that often knowing who I am talking to is very useful and important. Knowing who I am talking to allows me to some extent judge the reliability of the information they are posting and to better understand their tone and where they are coming from. For example, if Swans where to respond to a physics question I would consider his response to be fairly reliables, since he has though his other posts shown to be an expert in the area. I feel that similar information can know about most who post here regularly, which makes debates in my opinion better.

     

    As for the overall tone of this forum I find that SFN strikes the right balance of keeping things civilized and on topic without ruling with an iron fist. The negative reputation seems to be used for the most part fairly, and when not there are often members who will correct this by giving positive reputation. Overall, SFN has a much better atmosphere than most forums I frequent thanks to the quality of members we have, the hard and tireless work of the mods, and the design and forethought of the admins.

     

    However, if I could suggest one change I did enjoy how back with the vB forum you could leave a comment with your rep point. I felt that this A) Inspired people to give positive rep since they are reminded of it when they receive it, and B) Allows people to give constructive criticism or explain their praise so that people can continue to improve the quality of their posts.

  15. Well ,what did the OP asked??

     

    Is there any mathematical book in the whole history of mathematics in which 48÷2y can be equal to [math](\frac{48}{2})y[/math]???

     

    As the OP indicated by saying, "=24y or 24/y?" the he was asking how we would interoperate the expression given. As for where has 48÷2y been equal to:

     

    [math](\frac{48}{2})y[/math],

     

    according the standard oder of operations taught in children operations should be evaluated in the following order Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction (PEMDAS), and when operations of equivalent order are next to each other they are evaluated from left to right. Meaning that since division and multiplication of are same order we would evaluate 48÷2y as being (48÷2)y --since division furthest to the left.

     

    To read about the standard order of operations see:

    http://www.purplemath.com/modules/orderops.htm

    http://www.mathsisfun.com/operation-order-pemdas.html

    http://www.math.com/school/subject2/lessons/S2U1L2GL.html

     

     

  16. Umm, you assumed that the OP's ambiguous statement means [math]\frac{48}{2y}[/math], and surely there is no argument that if this is the case then it does equal [math]\frac{24}{y}[/math], however, the point is that this statement is ambiguous since we are not sure whether it means [math]\frac{48}{2y}[/math] or [math](\frac{48}{2})y[/math], and that you cannot prove the convention of how we interoperate the OP's expression.

  17. You may be quite right in saying that theorems of deep importance, don't care about the method of representation used.

    Still, mightn't playing around with patterns of numbers, lead to useful insights?

     

    Working in different bases does at times help show some interesting patterns. A few examples that come to mind are:

     

    -Defining the Cantor Set as all numbers in the interval [0,1] such that there base-3 representations do not consist of only 0's and 2's.

    -When working with the Collatz Conjecture you can notice certain classes of numbers that will iterate to 1 by looking at binary.

  18. So I have been having some fun messing around with the 3x+1 problem, also called the Collatz Conjecture. What I have been able to do is create a program in Python that given an integer will print each step of function until it becomes 1. The code I wrote for this was:

     

    from __future__ import division
    from visual import *
    from visual.graph import *
    
    n=
    
    while n!=1:
       if n%2==0:
           n=n/2
       if n%2!=0 and n!=1:
           n=3*n+1
       print n

     

     

    What I would like to do is to modify this so that I can have the program run for a large number of numbers, and return the number of steps it took to get to 1 for each number. Sadly I really have no idea how to approach doing this as my programing is minimal. Could anyone give me some suggestions and/or pointers for how to go about doing this?

  19. Our Empathic ability, to fell what another person is feeling, the ability to mind read, and make an educated guess as to what another human being is thinking. The 1% of our species are the full empath's of our race.

     

    You have scientific proof of mind reading? Can you prove your claim about "the 1%"?

     

    They are breaking down because of the way we have allowed criminals to create our society. People are operating on power and control and this too is denied. Most professionals are not aware enough to see what is going on with people around them to know the truth.

     

    So you are saying people suffer from mental illness because the leaders of our society are criminals? Proof please.

     

    These drugs make people erratic and cause even stronger emotion in several ways. Effectively turning anybody who takes them, into a real Schizophrenic, and they are extremely difficult to stop taking.

     

    Can you cite some studies for this?

     

    If we want to create a heaven on Earth as God intended, we must raise our awareness of the truth. We must protect our most sensitive of people before they become ill and place them throughout society as watchful guardians in order to stop corruption and so they may advise on the most human way of doing things.

     

    I am confused. If I am interpreting this right you think "the most sensitive of people" are those who are going to suffer from Schizophrenia, and you describe them as being ill, and needing preventive medicine to protect them. However, earlier it appears that you are arguing that Schizophrenia is not an illness, and those suffering from it are instead people to be revered. This seems like a contradiction.

     

    How do you suggest we identify those who are at risk for schizophrenia? Also do you not believe that psychiatrists who pledge to, "prevent disease whenever I can, for prevention is preferable to cure" are not currently trying to do the best by their patients?

     

    This is how it was done in the past and there will be no freedom if we cannot abide by Nature's Law. Criminals are dismantling our freedoms one by one and very few people are taking notice.

     

    Are you sure that this is how schizophrenics were treated in the past? The medical definition of Schizophrenia is fairly recent, and so looking into the past is difficult. However, it is well documented that in the stone age those exhibiting abnormal feelings similar to those exhibited by those suffering mental illness were often treated by having holes drilled into their sculls to let the "bad spirits" out. Throughout the middle ages those possessing signs of mental illness were often considered to be possessed by demonic spirits, and so were subject exorcisms to, which included being forced to drink a mixture "made from sheep's dung and wine.", and were often ostracized social.

     

    The second part seems like a red herring to me.

     

    At the moment, Doctors and Psychiatrists are quite comfortable, well paid and uninformed. It doesn't seem to bother most of them how badly people are being hurt. Perhaps they need a larger emotional intake, a larger sense of feeling. Some people have that naturally.

     

    This can lead to ego problems if they are not trained in the ways of nature as we all are needing to be. Tony Blair and George Bush have both said that they think God speaks through them. This is not a Messiah complex, it is the truth.

     

    Yes, doctors do not completely understand how everything works, but neither does anyone. However, in the last 50 years psychiatry has made fairly large advances into the science of mental illness, and the function of the brain. I would also argue that for the most part they have done their best to apply this knowledge to successfully treated their patients. Can you prove there has been widespread harm done by psychiatrists onto their patients in present time? Also I you claim that psychiatrists are uninformed, however, you urge us to turn to two things; God and this mysterious 1% having the capacity to "read minds". Both of which are are not rooted firmly in science, and so in actuality move us further into ignorance.

     

    Wait are you arguging that Tony Blair and George Bush are:

    • Part of this 1%.
    • Capable of speaking to God

     

    The "ways of nature" bit here is a naturalist fallacy, and what does the Tony Blair/George Bush thing have to do with your point about Schizophrenia?

     

    The more you come to understand God's Love is a very real part of you, the more you relax and become peaceful and loving within yourself, leaving the P&C way of being behind. The more you think about it the more aware you become, and you are connected to the Devine. Evolved.

     

    Again not sure how this relates to a scientific argument about mental healthcare.

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