@Karlo I think that Daniel's comment 2 hours ago was in response to your question when you asked it last. "Flip a coin." I.e., pick randomly between the equal edges.
Well, consider a $K_{4,2}$ bipartite graph with constant edgeweight and try to find the shortest distance between the two vertices in the partition with just 2 vertices.
As I understand Dijkstra's algorithm finds A shortest path., but there is nothing that says it has to be unique. Picking randomly when faced with a problem of which edge to take due to equal weights shouldn't affect it much I don't think.
thanks. i have jsut finished learning about the most fundemental topologies out there and also just about to get into the "basis of topology" which seems to be very important so I want to make sure I am prepared
@KajHansen Hey, yeah life is alright I suppose. I finally have access to the internet and a computer, so I will be active again, so that's something atleast. How about you? You are in a uni semester right now?
@JulianRachman If I had a totally free schedule, or some serious funding it would be pretty relaxed.
@JulianRachman Well from courses I have taken, I should have been able to do the first few textbooks already - so there is that. Secondly I am going to be taking courses that work on stuff from the 4th-9/10th text books starting in a month, so there is that haha
I for one have gotten my butt beaten because I rushed too much and that really shocked me to the head. @MikeMiller was one of thos who smacked me into the right mind
@JulianRachman You are very young though, so you haven't had prior exposure to the subjects, I really should know this stuff already(but I don't), and I have done quite a bit of it before(badly), so it is in the back of my mind
@Committingtoachallenge oh I see, also, can I enrol in many courses as I wish ? Or there is a limit ? I mean other than the core courses (these courses may include other than my faculty courses) ?
@TheArtist You can usually go with 4 courses in the first semester, if you get better than a GPA of 4.5 or 5 or 5.5(depending on university) you can take 5, if you do well at 5, some uni's let you take 6.
@JulianRachman I am taking Complex Analysis, Functional Analysis, Abstract Algebra II, Operations research and Coding & Cryptography II starting in a month. If that adds to your statement about rushing through the textbooks?
While working on Integer factorization problem I came to this:
$$n = 2(c \mod (n-1)) - c \mod(n-2)) + 2$$
c,n are positive integers
How can I extract $n$ from this equation? Or how can I simplify it?
@Axoren Oh. Ya, I dont really like geometry. I like abstract objects that you can fiddle with while having limited restrictions. Abstraction is what i sort get into
@Julian I suggest you dip into different areas yourself. Personally, I love finite group theory because I'm a CS guy and everything about finite group theory is usable for my applications.
While working on Integer factorization problem I came to this:
$$n = 2(c \mod (n-1)) - c \mod(n-2)) + 2$$
c,n are positive integers
How can I extract $n$ from this equation? Or how can I simplify it?
@Axoren I got to go now. Please tag me if think about some thing. Also c is the number that I am factoring. By finding solutions for this equation I will find the factors.
I guess you're referring to Whitehead-Russel's proof that 1+1=2 in their Principia. I don't believe anyone uses their system of logic or axioms for set theory anymore, but I'm no expert.
@Karlo $\{ x\ |\ P(x) \}$ means that "this set contains all of the values $x$ for which $P(x)$ is true, where $P(x)$ is some truth expression in which $x$ is a variable.
@Axoren Do you think I should do the requiremeent for graduation and dohigher mathematics formally all of my three years left? (I am not counting this year)
@JulianRachman If you can, go for it. Especially if you aren't sure where in mathematics you want to end up. Going for it full-force early will give you time to change your mind and go into Applied or Engineering if it's not your shtick.
And if you're already in a position to take calculus at the age of 14, you're in a good spot.
@JulianRachman I don't understand. You said you'd be doing the high school graduation requirement courses. So there's nothing to miss out in high school. Besides, having a powerful math background early on puts you in a position to demand scholarships.
Like "You want me in your college, I'm already performing Complex Analysis as a 14-year-old."
While working on Integer factorization problem I came to this:
$$n = 2(c \mod (n-1)) - c \mod(n-2)) + 2$$
c,n are positive integers
How can I extract $n$ from this equation? Or how can I simplify it?
