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    Determine Convergence/Divergence of Sequence (n^2/(2n+1) - (n^2/2n-1)

    I had originally typed out an entire post but it got accidentally deleted so I am just skipping straight to the end. I let f(n)=a_n and substituted for f(x). Combined rational expressions and reduced it to a function of like denominator. Not entirely sure if this is correct either...
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    Determine Convergence/Divergence of Sequence (n^2/(2n+1) - (n^2/2n-1)

    Thanks for your help, Ray. Are you suggesting that I compare a_n with a simpler sequence b_n such as the one you responded with? Sorry for the confusion, I am still learning these approaches/techniques.
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    Determine Convergence/Divergence of Sequence (n^2/(2n+1) - (n^2/2n-1)

    Homework Statement Determine the convergence or divergence of the sequence with the given a_n . If it converges, find the limit. \displaystyle a_n = \frac{n^2}{(2n+1)} - \frac{n^2}{(2n-1)} The Attempt at a Solution [/B] I am not confident enough with sequence and series to know that I have...
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    Friction force without coefficient of friction?

    Is it static or kinetic friction?
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    What an amatuer physics enthusiast do in daily life?

    My interpretation of "doing physics" is to solve as many problems as you can to build a mathematical intuition of how the Universe works. This, combined with a conceptual understanding (to build physical intuition) would give an amateur a good foundation in physics. It also depends how much...
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    Engineering Starting Engineering at 22 years of age? Not sure

    I am 28 and a current undergraduate. There are plenty of other engineering students in their late 20's/early 30's as well so do not worry about your age. Just study hard, build a strong foundation and stay focused on finishing your degree. 26 is still YOUNG (especially when you will finish by...
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    Why Does Math Instruction Consist of Just Doing Problems?

    Kphysics: People have provided some great replies but I thought I would add my thoughts as well. Without having actually taken the courses yourself, it's difficult to gauge how accurate people's complaints are. When I first returned to CC, I spent the first two semesters heavily immersed in...
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    In need of professional advice This should help you homie. Good luck to you!
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    Computing graduates deemed unemployable

    This is a very interesting discussion. I am assuming by 'graduates' we are referring to those who have obtained either a Master's or PhD in Computer Science -- is this correct?
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    Help with self-studying

    Which book are you reading? That would help pinpoint your difficulties.
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    Physics or CIS?

    What's up brotha? I am not entirely sure what your question is. These are two vastly different course requirements for two vastly different fields. There isn't really any overlap between CIS and Physics. Are you trying to figure out the best career prospects? Or are you curious which would be...
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    Should I take Number Theory or Abstract Algebra

    Abstract Algebra (for me at least) allowed me to peer inside a mathematical universe that I didn't know existed. Additionally, the language of abstract algebra is used to build other branches of modern mathematics that you might want to study in the future. I would recommend it over number...
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    How much work is hard work?

    Don't apologize. It was a fantastic reply filled with thoughtful and insightful information!
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    How much work is hard work?

    There are a few different aspects of this post that need to be addressed. This is entirely my opinion. First, obviously, to get into a top 100 University (world ranking) you will need stellar grades, test scores, letters of recommendation and any research experience. I don't think there are any...
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    RIP arildno: Gone, but never forgotten

    Arild, I have been following your posts since 2005 and learned a great deal of knowledge, information and insights about the world around me, from you. Reading your last post was difficult for me. I knew what you trying to tell us but I read it too late. I have lost many people that I loved this...
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    Somewhere to learn the whole quantum easier?

    1832vin: Are you asking for a rigorous physics text that shows the equations but dedicates time to developing the physical intuition behind the equation as opposed to explaining the actual mathematics of the equation? It seems to me you are saying you understand the math well, but the texts you...
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    The career path becomes foggy on which direction to go

    As a physics undergrad myself, one thing I will say is some of the physics I thought I liked isnt the same as I thought it would be, and things I didnt think would be interesting have turned out to be very interesting once I start doing the actual physics of the subject (or you realize the maths...
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    The career path becomes foggy on which direction to go

    I suppose I dont understand your question. You want to use physics, mathematics, hardware and software, correct?
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    The career path becomes foggy on which direction to go

    I am going to be blunt and honest and say that none of what you wrote matters much in determining if you can do physics or even if you should. If you want to do physics or astronomy, all that matters is you do very well in your math and physics courses (calculus and beyond), and if you want a...
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    How can I learn to enjoy mathematics more?

    Have you tried incorporating the mathematics you are learning into simple programs? This would allow you to practice programming and also see the mathematics in practice. You don't need to write anything fancy, just something that's tangible.
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    Is Math Cumulative & is Memorization Important?

    The first thing that I would suggest is to try to think about why you are performing certain algebraic or trigonometric operations as opposed to trying to mindlessly memorize. There is obviously an element of memorization involved in mathematics, however, from my own experience, it is much...
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    Using ifstream to open multiple files

    HAHA just found it! I was returning the value inside the switch statement but wasn't returning a value of bandType at before the end of the function. So, I wasn't passing anything in the call by value. Coding is FUNSTRATING!
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    Using ifstream to open multiple files

    Hey DH! Been reading your posts for the last 8 years ;) In the posted code I have a close after the initial file open (It's a mess to read right now), however, when I had used inData.clear(); it was causing it to crash. I just changed the heading of the getBands procedure from...
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    Using ifstream to open multiple files

    I am currently working on a C++ program for school. I am actually not finding too much difficulty in constructing the functions, enum-types, arrays and structs, however, I am finding great difficulty in using on ifstream variable to open multiple files. I have posted the entire code that I...
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    CC student struggling with dedicating to calculus workload

    I am going to provide a subjective, anecdotal opinion based strictly upon my own experiences. While you might regard yourself as more an introvert (strictly an assumption), if you aren't able to generate the energy and motivation to put 10-15+ hours per week of dedicated Calculus studying...
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    Comp Sci C++ Character Processing Algorithm

    Yo, Lewando! Thanks for your all of your help. I figured out my issue. I wasn't using an ACSII character conversion formula (ch-'0'). It is working properly now. Here is the final code in case anyone is curious (I need to tidy the style up a bit): /* Character Filtration Algorithm */...
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    Comp Sci C++ Character Processing Algorithm

    Lewando, that solution makes perfect sense, however, I am required to use my teacher's algorithm. The while((ch !='\n') and data) is his piece of code and I am not allowed to change any of the test conditions. I reread the chapter on loops and nested if-else statements but I guess I am still...
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    Comp Sci C++ Character Processing Algorithm

    Hey Mark! The "not" is a boolean value for "!". Another way to write it would have been !data. However, most of this code is straight from my teacher's algorithm that are strictly required to adhere to. If I was allowed to write my own code, I would be done by now. However, I scrapped the...
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    Comp Sci C++ Character Processing Algorithm

    So, I came back to it a few minutes ago after taking a break to work on other things and now I am simply getting an output of this: The Sum is: 0 The Sum is: 0 So, as I have it written now, it's simply printing the sum's initial value, twice. I thought I understood these loops pretty well...
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    Comp Sci C++ Character Processing Algorithm

    I see a couple of problems now. Going to rewrite some things and let you know if I run into another issue or if I am able to resolve it on my own.