Recent content by AXidenT

I recently completed my honours degree in Australia (4-year undergraduate with a year-long thesis and some grad-level subjects such as first courses in algebraic geometry, algebraic topology, GR, QFT and integrable systems) and am struggling to figure out what the best option for graduate study...

This sem am doing: Advanced Algebra Differential Geometry Lie Theory Statistical Mechanics

After speaking to a few lecturers and what not I think I will keep DG - thanks for the advice!

I'm in my last semester of my undergraduate majoring in mathematics (focusing on mathematical physics I guess - I'm one subject short of having a physics major) and am wondering, largely from a physics perspective if it would be better to do a functional analysis course or a differential...

Thanks for the reply! I have spoken to a few lecturers (who at my university double as the academic advisers it seems) but typically it comes down to if I ask someone from the maths department they'll tell me to do the maths courses (with a focus on doing the functional analysis) and the...

Entering my third year of my bachelor of science majoring in maths/physics and having some trouble deciding what courses to do this semester. I know for sure I will be taking complex analysis and 3rd year quantum however am having trouble picking between 3 in particular for my final two courses...

Thanks for the reply! The question is one of three in the topic I chose to cover - the other two points of investigation were "How far from ideal is this mixing process? " and "Is the spontaneous mixing driven more by the entropy increase from simple intermingling (ideal) or by an energy...

Homework Statement Not a homework question exactly, but for a lab report I've looked at the changes in temperature and volume mixing different ratios (with same total mass) of ethanol and water. From this in the report I've been analysing questions such as "whether the work due to the volume...

So I'm entering the second year of my undergrad degree (in Aus) and am majoring in maths. I have enough space to add a second major to my degree - however I've been torn between three options I think I'd enjoy and benefit from. First is a physics major - I really love physics, however the...

So this condition would be a polygraphic cipher where the size of the group of letters that are substituted is the size of the plaintext? That would change both order and letter value, correct?

Homework Statement "Compare this cipher (transposition cipher) to a mixed (substitution) cipher and state under what circumstances a transposition cipher can be thought of as a mixed cipher." Homework Equations --- The Attempt at a Solution For the first part of a question I stated that a...

I just checked with n=2 and 3 and it seemed to work for me. Thank you! :D

Thank you for the reply! Could I calculate it like this?: Number of Possible Matching for Kn,n * Number of intersecting edges in that matching * derangement of the remaining edges * 1/2 (to account for double counting from the first bit) Where I think that would result in something like...

Homework Statement "Let i be a fixed interger where 1≤i≤n-2. Given the graph Kn,n write down a formula for the number of ways you can choose a pair of distinct 1-factors which intersect in precisely i edges? Hint: fix one of the 1-factors, choose the i edges which will be common to both and...

So I can't get the values seen here: http://www.wolframalpha.com/input/?i=1%2F3%2Ay%5E3%2By%2Asin%28x%29%3D1-x%5E6%2C+y%5E2%2Bsinx%3D0 by hand? The algebra seems to reach a dead end every way I try it. How would I state my answer for the points of the curve that dy/dx is undefined then? And...