Recent content by Ulagatin
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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...- Ulagatin
- Post #4
- Forum: Topology and Analysis
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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...- Ulagatin
- Post #110
- Forum: General Discussion
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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...- Ulagatin
- Post #107
- Forum: General Discussion
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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. :)- Ulagatin
- Post #3,268
- Forum: General Discussion
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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.- Ulagatin
- Post #3,261
- Forum: General Discussion
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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...- Ulagatin
- Thread
- Group Group theory Particle Particle physics Physics Relationship Theory
- Replies: 1
- Forum: High Energy, Nuclear, Particle Physics
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Infinite Sets: Are They All Equal?
No problem, Galteeth, if anything else comes up, just ask me and I'll give it my best shot. Davin- Ulagatin
- Post #7
- Forum: Set Theory, Logic, Probability, Statistics
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Infinite Sets: Are They All Equal?
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...- Ulagatin
- Post #4
- Forum: Set Theory, Logic, Probability, Statistics
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Infinite Sets: Are They All Equal?
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- Ulagatin
- Post #2
- Forum: Set Theory, Logic, Probability, Statistics
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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- Ulagatin
- Post #138
- Forum: General Discussion
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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...- Ulagatin
- Post #136
- Forum: General Discussion
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Series: converges or diverges help
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...- Ulagatin
- Post #8
- Forum: Calculus and Beyond Homework Help
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Factorials & Series - im a little lost here
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.- Ulagatin
- Post #8
- Forum: General Math
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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: