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    Programs Decided on math major but I don't have good study skills

    Hi I've recently decided to become a math major, as it's the subject that I've enjoyed the most and had the most exposure to during high school. During high school, the AP Calc classes and a Calc III course I took at a local CC came to me quite naturally. I just followed along to the...
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    Courses Should I take more theoretical courses or applied courses?

    Honors analysis is known to be one of the hardest math courses....people that I've talked to advised me not to take it unless I'm really up for it. I'll be taking a 400 level stats course next semester..maybe it'll come up there.
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    Courses Should I take more theoretical courses or applied courses?

    Searching the course catalog doesn't really show any courses that focus on measure theory. Honors analysis syllabus shows that it covers Lebesgue measure and integration. I'm just starting out, so I don't know too much about the courses. What kind of courses would focus on measure theory?
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    Courses Should I take more theoretical courses or applied courses?

    Two courses in Algebra (Linear algebra, intro to algebra, computational algebra, number theory, matrix group, applicable algebra) Two courses in analysis (analysis, manifolds and differential forms, intro to diff eq, applied complex analysis, Waves and fourier series, Intro to partial diff...
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    Courses Should I take more theoretical courses or applied courses?

    Hi. I am a math major that got started late. I started taking prerequisites during my sophomore year (which I'm finishing this year). I'll be taking some courses in algebra and analysis next year. There are some courses that can fulfill my major requirements, but some are theoretical and some...
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    Does my undergrad curriculum matter a lot?

    Hi. I'm currently a sophomore and I am doing a math major with a concentration in statistics. I'm a bit overwhelmed by the amount of courses there are for the major. I haven't taken any math classes during my first year, and I just finished up linear algebra (intro level; will be taking upper...
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    Math How good are job prospects for math majors?

    Hi. I'm planning on doing a double major with psychology and mathematics. My parents are opposed to this, and they think that I should major in psychology and do premed. They are doctors and all their doctor friends are employed and having a good life in general. The only people that they know...
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    Finding GCD in Q[sqrt 3]

    I know what you are trying to say but in terms of rational numbers, there are no factors in common between 24 and 49, but according to this problem, there might be a factor that is a quadratic integer in Q[sqrt3]. The question is which numbers do we know is a factor or not? Since 3 is not...
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    Java Java program isn't working please help

    It's very complicated and one of the steps to finding the GCD requires me to find a number that is an integer...
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    Java Java program isn't working please help

    The idea for this program is derived from Euclid's algorithm...i just need to see if a number is an integer or not If I fix the loop to while and increase the upper bound of the counter to say 35, woudl this program help me see if b contains decimals or not?
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    Java Java program isn't working please help

    Hi I wanted to make a program that would check if a number if it was an integer or not in Java. here's the source code: import static java.lang.Math.*; public class gcd { public static void main(String [] args) { double a = 1; double b =1; double c = 1...
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    Quadratic integers help

    On a side note, are a + b sqrt d and a - b sqrt d where a, b, and d are rational integers (and d is not a perfect square) relatively prime?
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    Unique Factorization for polynomials

    Homework Statement Prove unique factorization for hte set of polynomials in x with integer coefficients Homework Equations The Euclidean algorithm may be of some use The Attempt at a Solution Let's say that the polynomial is of the form anx^n + a(n-1)x^(n-1) ... a1x + a0 There...
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    Finding the pattern

    The 'hypothenuse' seems to play a role in that 1 -8 -7 28 -16 9 -7 - 1 = -8 -7 - 9 = -16 As far as the other numbers go I havent gotten them yet, but just putting this out there as a possible stepping stone
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    Does this reasoning ever reach infinity? 0<1<2<3<4<5

    Technically, infinity is not a number The reasoning that n < n+1 is satisfied for all numbers, I think that's what it's trying to say
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    Quadratic integers help

    For the theorem that states that in quadratic field Q[sqrt d], if d is congruent to 1 mod 4, then it is in the form (a + b sqrt d)/2 and if it's not, it's in the form a + b sqrt d where a and b are rational integers, is it saying that if a and b are rational integers and the quadratic number are...
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    Finding GCD in Q[sqrt 3]

    I COULD use the euclidean algorithm, but I wouldn't know where to start, as these numbers are rational primes, and I need to find solutions in Q[sqrt 3]
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    Finding GCD in Q[sqrt 3]

    Q[sqrt 3] is all the numbers in the form (a + b sqrt3)/2 where a and b are rational integers, both even or both odd.
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    Finding GCD in Q[sqrt 3]

    Hi. I need to find the GCD of two numbers in Q[sqrt 3]. Let's suppose these two numbers are 12 and 35. How would you go about finding the GCD of those in Q[sqrt 3]? thanks~
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    Euler, phi and division

    I'm making a quick comment Euler's totient function IS multiplicative. Someone said it's only for coprimes but there's a general form where the 2 numbers dont have to be coprime phi(mn) = phi(m)phi(n) * d/phi(d) where d is the GCD of m and n.
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    About Euler's totient function

    Let m = f1^a1 * f2^a2 ... fk^ak where each fk is a prime (basically the prime factorizatin of m) Let n = p1^a1 * p2^a2 ... pk^ak where each pk is a prime. The k or each ak has no connection to the prime factorization of n. I'm just making a general prime factorization of numbers. Let d equal...
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    Totient Function and phi(n)=phi(2n) for odd n

    If the OP's question is why phi(2n) = phi(n) when n is odd, I think my explanation is clear enough,.... see post #5. please feel free to ask questions and dont say stuff like even numbers have no factor of two.
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    Totient Function and phi(n)=phi(2n) for odd n

    @Mensanator ϕ(2m) = 2ϕ(m) ONLY IF m is even thats where's the mystery. And i think I did a pretty good job explaining it in post #5 if anyone is interested...
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    Totient Function and phi(n)=phi(2n) for odd n

    The formula for euler's function ϕ(n) is given by ϕ(n) = n (1-1/p1) (1 – 1/p2) … (1 – 1/pk) where n is prime factorized into p1a1p2a2...pkak and each pk is a prime. Assume n is an odd number. None of the pk will be an even number. When n is multiplied by 2, the prime factorization of n will...
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