Potential Drugs and Pain Killer Harming Human Brain! Statistical Methods: Calculating the Volumes! Talk about pigeonhole principle can show how two people must have the same number of hairs on their head in a big city then go on to talk about cardinalities, showing there are the 'same amount' of natural numbers as there are even numbers and how we can have different sized infinities. The twin prime conjecture states that there are infinitely many consecutive primes eg. This is a lovely construction using just compasses and a ruler. Oh that was long :tongue2: Thank you for your help! There has been a recent breakthrough in this problem. I find topology very interesting, though I literally only know the open-set definition of a topological space. There's a difference between liking to solve math problems and liking to apply math to find real world problems.
The great Indian mathematician discovered some amazing examples of these. Cow milk storage safety standards! First, I would say that, if your science and math teachers are anything like mine were, they probably don't know a thing about quantum mechanics, and therefore will not be able to provide much help. Also, it would be much less technical in nature than any discussion of mathematics in quantum mechanics. If, however, say you were trying to discuss where the complex number comes into the time dependent portion of the Schrodinger equation for a time-independent potential then I think you need to understand the solutions to the Schrodinger equation, which involve differential equations and calculus. I am not trying to discourage you, but you are treading into deep waters, and it will be easy to get lost or discouraged. By the way, am I competent to understand the last theorem of Fermat? Any alumni advice or current Diploma candidates are encouraged to fill in. Keep in mind that your key or one stop solution in order to meet the readers or to present what they are looking for, researching is your best answer.
Are there any problems I can work with after only knowing the equivalent of probably less than a semester with the subject? Consequences of Pact between Stalin and Hitler! As an example, we impose the probability restrictions on the norm-squared of the wavefunction, because it is real. You can also model everything from Angry Birds to stunt bike jumping. If your instructor or professor wants you to follow a specific style and address a particular subject in your paper, then you cannot ignore to do so. Is it possible for me to find an interesting problem to work with here, without having to spend years on the field? It is a good thing when you have your own topic because you can start writing but in order to present an awesome paper, you need read and read. Pollination: occur in Remote Area?! It is a fun combinatorial result from fixed points of group actions easier than it sounds! Global Health: The Help to International Travelers! Depression: What are its Psychological Reasons! I have also read Aaronson's lecture 9 in quantum mechanics and that actually was what encouraged me to do my extended essay about it. What is the minimum number of colours needed for any map? Essential of Politics in William Shakespeare Plays! We can use hermitian operators to derive the general form of the uncertainty principle, which has a complex number.
One idea I had was looking at chess algorithms, and how close a computer's move would be depending on how many moves ahead it calculated. A chance to look at some statistics with surprising results. If you want to make the problem more difficult, add even more restrictions. What would happen to the climate in the event of a nuclear war? Can all fractions with a numerator of 2 be written as 2 Egyptian fractions? Every part of the structure should be written comprehensively. On the other hand, he himself says he is not discussing quantum mechanics from the physicist's point of view, or even the mathematician's point of view. I suspect that the reason for this is that seemingly very difficult questions become very easy if one looks at them with some established theory. Why does the house always win? It would take a little work though.
Local Experience and Phenomena as Development of Expressions! Schordinger equation does need knowing differential equations, as well as lots of other aspects in quantum mechnics. If you don't know much about topology, then you probably won't know what kind of questions could be interesting there, and if you read up on topology than a lot of interesting trivial questions will be answered then, and anything that is not trivial is very hard. Judging Fairness of Constitution: Use of Voting Polynomials! Empowerment of Feminine in Lord of the Rings! Language of Physics and Measurement! Just remember, whatever you choose: make sure you are really interested in it. Writing it over a historical topic isn't a bad idea, either. .
You could also look at various combinatorial problems. We're hoping the admins will help us revert this soon. World Studies Extended Essay Topics 51. This is a puzzle that was posed over 1500 years ago by a Chinese mathematician. General political debate is not permitted. My favourite revision site is — which has a huge amount of great resources — questions graded by level, full video solutions, practice tests, and even exam predictions. Explore the maths behind code making and breaking.
Solve all the clues in a level to make it onto the leaderboard. Style and themes of Rosencrantz related to Waiting for Good! The basics were very accessible, but the next step in difficulty was far, far beyond my scope. It is about different topics in biology, geography, mathematics, economics and others. This particular problem was solved by Euler. Plus, if you don't already have some real analysis under your belt, topology might be hard to get your head around. The outline is also called the format.
You'll be spending a lot of time on this essay and if you don't enjoy the topic it will get tedious, fast. One simple reason that quantum mechanics involves complex numbers is because some of the solutions to the Schrodinger Equation involve complex numbers. However, I'm still afraid that it will end up being too complicated, so I will like someone's advice, if you think it is suitable for an extended essay, and if you can recomend some sources for information it would be great. How Does Climate Change Affects Countries and Humans! How many people need to be in a room for it to be at least 50% likely that two people will share the same birthday? Algebra and number 1 — This technique is used throughout Number Theory. I personally found it quite difficult to think up a topic, and I suggest that you therefore choose a field in which it is easy to find interesting questions. Hello, I've chosen to do my Ib extended essay, a piece of research of about 4000 words, on mathematics because I really like physics but I think I'm not very good at expreimental physics, and in order to do it on physics you needed an experiment or some kind of data.