Recent content by Ulagatin

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    Graduate Learn Topology with Our Ongoing Video Series - Perfect for All Levels!

    Hi Quan, Take my note with a grain of salt: I'm just a Year 12 student in Australia with a love of pure mathematics. I've seen a little bit of topology before, but only enough to have a few general ideas about it. I watched all 10 of your videos in the series today and they are excellent...
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    High School Why do people think physics is so hard?

    Cfire, that is a very heartening message. Thank you very much for that! I find for whatever reason that I can work hard in mathematics far more easily than in physics. What I mean by that is this: I can happily sit down and write proofs and do differential equation modelling etc for hours at...
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    High School Why do people think physics is so hard?

    I'm in Year 12 in Australia, and doing both a Pure Mathematics and Physics course (alongside Chem and Comp Sci). I find mathematics in its very raw, pure, abstract form much easier and more beautiful than physics. I love proofs. I also have a deep love of philosophy, in topics such as...
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    Ask a Stupid Quetion Get a Stupid Answer

    The most stupid thing is that I have to know about Laplacians and other advanced mathematics to do modern physics instead of rubber chickens. What if I want to use rubber chickens to answer questions in physics?? I do love mathematics, truthfully, but I'm in the spirit of this forum. :)
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    Graduate Integrating Complicated Functions: (1-a)^s

    Sorry, but could you please repost this so it can be read more clearly? That way, we may be able to help you. : ) Also, you must show at least some working.
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    Ask a Stupid Quetion Get a Stupid Answer

    9 stitches in time staple the clothes to the bodies of the bomb blast victims. What victims?? I see no damn victims! I question the philosophical reality of your terrorist bomb! Answer me that, and I shall bake you a cake. Pi cake.
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    Graduate Relationship between group theory and particle physics?

    I'm just a year 12 student with an interest in mathematics and physics, but I have a question (or rather a few) for particle physicists/mathematicians out there. I have read a little about abstract algebra - to about the extent of knowing the definition of a group, its relationship to...
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    Undergrad Why do the positive integers and positive even integers seem equally infinite?

    No problem, Galteeth, if anything else comes up, just ask me and I'll give it my best shot. Davin
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    Undergrad Why do the positive integers and positive even integers seem equally infinite?

    You should watch this youtube video on infinity: it should answer your question. Also, you may like to search for Cantor's theory (on infinite sets). It discusses cardinality (i.e. the number of elements in a set). To give my own example, are you familiar with complex numbers? A complex...
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    Undergrad Why do the positive integers and positive even integers seem equally infinite?

    There are different values of infinity. Sounds counter-intuitive, but it's true. Think of infinity as a direction in the number line (when talking about reals) rather than a number (this is what I do anyway). It does not behave as a number. Hope this helps. Davin
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    On the issue of kids not pursuing engineering/science/math these days

    Hi Wellesley, I feel a little proud that you enjoyed reading my post. :wink: I can completely understand your sentiments, and thank you. I hope I (and you!) continue to enjoy mathematics long into the future. Cheers
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    On the issue of kids not pursuing engineering/science/math these days

    I know this is old, so apologies for bumping this thread, but I'd like to give some advice to Sportsstar (which could by extension be applicable for others in a similar position). I'm an Australian Year 12 student currently studying the highest level of mathematics I can possibly take...
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    Does the series of ln((2n+1)/(3n-1)) converge or diverge?

    Sorry. This is incorrect. I can not speak too much about series convergence/divergence, but I can talk about a sequence: What happens to \frac{2n+1}{3n-1} as n ---> infinity? You can rig this so that the 1's cancel and you are then left with \frac{2n}{3n} which obviously then cancels down to...
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    Undergrad Finding a closed form for the sum of logarithms of factorials

    You can get back to the nth factorial with this representation: e^{\sum_{k=1}^n ln(k)} Not sure if this is at all helpful to you, but there's a statement that returns you to n! Try it out, I assure you it works, except if you let k= 0 as ln(0) is undefined.
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    Graduate An example of a series involving factorials

    Oh, sorry, wrote this out for someone, ended up posting it too, and I didn't explain its purpose. Could be taken as being for general interest if you like. :wink: