Classes Definition and 568 Threads

Hi all, I am 31 years old, and have decided to go back to school to get a second degree(My first degree was in Political Science) in Math. I tested into Intermediate Algebra. We are about half way through the clas and I have an almost a perfect average. I would like some advice about condesed...

I have just decided to go back to school at 31 to pursue a second degree in Math (My first degree is in Political Science). I tested into intermediate Alegbra after not having any Math since the 10th grade. I am about half way through, and have a very almost a perfect average. My question to...

Hey guys! So I am having trouble understanding equivalence classes. How are they determined?? Anyways here is my problem! Homework Statement Let A and B be two sets, and f: A-->B a mapping. A relation on A is defined by: x~y iff f(x) = f(y) a) Show ~ is an equivalence relation b)...

([SIZE="2"]Moderator's note: thread moved from "Set Theory, Logic, Probability, Statistics") the question is if n is odd then there are exactly two conjugacy classes of n cycles in An each of which contains (n-1)!/2 elements. also there is a hint says let An act on itself i know the fact that...

I recently completed a degree in Computer Engineering and am looking to pursue a Masters and eventually a PhD in Electrical Engineering; specifically in solid state devices. One of my concerns is the potential lack of knowledge in mathematics I may have. As a Computer Engineering undergrad I...

Hey! Hoping you guys could help me with a small issue. No matter how hard I try, I don't seem to fully understand the notion of an equivalence relation, and henceforth an equivalence class. What I do understand that, in order to have and equivalence relation, it is defined to satisfy three...

Hey, Does anyone know of anywhere in the USA (or even the world) one can take summer physics coursework that is not freshman level general physics? (I'm particularly looking for something along the lines of a junior level E & M I class...) Thanks much.

I am a freshman Physics major and I always thought I would be required to learn a lot of higher level maths. But I picked up a major requirement sheet today and found out I only need to take the 3 level calc sequence, linear algebra, and DiffEQ. Thats it. Now I understand I CAN take more, and...

I need the % of stars in our galaxy, sorted by spectral classes and also by masses. Is there any such information somewhere ?

Let me start off by saying I am about to start my second semester of my senior year as an electrical engineer. It has always been my interest to design computers, and I have really enjoyed learning about electrical engineering. So, it would be much appreciated if people on this forum...

Berkeley High Poised to Eliminate Science Classes Because They’re Too “White” SOURCE: http://www.eastbayexpress.com/ebx/be...nt?oid=1536705 I am not sure if I fully understand this, the city that has a whole bunch of extremely gifted individuals in the science field, is cutting the...

Hi all, I'm looking to get into college and I'd like to get a degree in physics. I'm looking at taking some online classes and getting an associates degree through some offcampus courses. I work freelance but I'm not sure what school I physically want to go to yet. I thought I'd take time...

I just graduated with my BS in physics and applied math. In a year or so, I may apply to grad schools in materials or mechanical engineering or applied math. I chose not to apply this fall since I don't have enough background in engineering to know for sure that I will enjoy graduate studies in...

I am going to a transfer school for 2 years and then transferring to a better college to ultimately get my doctorate and do research in particle physics, what classes should i take during the 2 years in the basic school? Am I supposed to just take basic courses such as english and math or do I...

Homework Statement \forall (a,b), (c,d) \in (Z^2), (a,b)D(c,d) \leftrightarrow a\equiv c\mod\2\and\b\equiv d mod 3 *edit* Sorry the b = d mod 3 is all part of the same line. (a) List four elements of the equivalence class [{5,3}] (b) How many equivalence classes of D are there in total...

Should I focus more on my physics and math "classes"? To get things straight, I'm not talking about learning the subjects (physics and math) I mean going through the motions such as calculating how much time to study for each subject so as to get x and y grades. Do physics graduate schools...

I'm on pace to take Differential Equations and Signals & Systems I (EE course) simultaneously in the 4th semester; the course catalog says that it is highly recommended that I take Diff. Eq. prior to Signals & Systems I. So, if I switch Diff. Eq. with a literature course (which I can take...

Currently I am back in school taking some math courses to finish an undergraduate degree while getting credit for a master's program in math. I am fairly competent in calculus and did well in the first half of an introductory physics class that I had to withdraw from for other reasons. My long...

A question about the search for normal subgroups- Conjugacy classes!? Homework Statement Aut(Z*_24) has Conjugacy classes of order 1, 21, 24, 24, 42 and 56. Show that Aut(Z*_24) is simple. Note: Aut(Z*_24) is sometimes written as U(Z_24) Thanks for any idea or answer... Homework...

Field of modulo p equiv classes, how injective linear map --> surjectivity Homework Statement Let Fp be the field of modulo p equivalence classes on Z. Recall that |Fp| = p. Let L: Fpn-->Fpn be a linear map. Prove that L is injective if and only if L is surjective. Homework Equations...

If you've repeated math classes just at 2 year college and want to transfer to university but feel afraid? due to, you've had to repeat math courses at junior college and junior college is supposed to be far easier than 4 year college , it feels scary to think about taking upper level classes at...

Homework Statement Prove: If a and b are in N the [(1,1+a)] + [(1,1+b)] = [(1,1+a+b)] Homework Equations Definition: We define + over Z as follows: if [(a,b)] and [(c,d)] are any two equivalence classes, we define [(a,b)] + [(c,d)] = [(a+c,b+d)]. The Attempt at a Solution So...

How much more rigorous are the science and math courses at a university compared to science and math courses at a 2 year college. On this website called assist.org , it shows you all of the classes you would need to take at a particular 2 year college to get to transfer to a 4 year college...

So I'm a second year undergraduate physics major, and I'm taking quantum mechanics and classical mechanics next semester. I have all the basic math requirements completed (calculus and diff eq) Currently, I'm interested in doing PhD work in particle physics/atomic physics once I graduate. And I...

Homework Statement For (x, y) and U, v) in R2, define (x,y)~(u,v) if x2+y2 = u2+v2. Prove that ~ defines an equivalence relation on R2 and interpret the equivalence classes geometrically. Homework Equations (none) The Attempt at a Solution The first part is easy. I proved...

I am thinking of taking Multivariate Calculus & Differential Eq/Linear Algebra both during summer semester. Doing will save me an entire semester and both have the same Calculus II pre-req. My questions is: are these two classes okay to take at the same time? Or should one be done before the...

Homework Statement Define a relation on R as follows. Two real numbers x, y are equivalent if x - y \epsilon Z . Show that the set of equivalence classes of this relation is bijective to the set of points on the unit circle. Homework Equations N/A? I don't think there are any special...

Started uni this year. I'm going to every single class, but I feel that I don't learn anything while in my classes (it's generally been like this all through school). At the end of the day after spending anywhere from 4-8 hours sitting in front of a lecturer I rush home in a panic to try to...

I 'cheated' and used GAP to compute these, but I want to make sure I am thinking through these properly. This isn't homework as much as given answers in an example and I'm not sure how they computed them. S_12 (1,2)(3,4)(5,6)(7,8)(9,10)(11,12) - 10,395 This stems from...

Am I right about this - Inclusive - This basically means that suppose in the interval - x – y The range starts from x and ends after y, that is including all possible values of y. So if we have a class interval 5 – 10 which is inclusive, then it will include...

I just want to get an idea of how taking courses as a physics grad student differs from that of undergrad. As an undergrad, I usually find a friend to work on physics homework, mainly because it saves a lot of time and can sometimes help clarify a difficult problem when two people are working on...

I am trying to decide between two different graduate math classes in the fall. These are the only classes that sound really interesting to me, as well as fitting in with the rest of my schedule. My other courses will consist of several physics type courses, notably, Jackson's electrodynamics...

"methods of theoretical physics" vs "normal math classes" Hey. I am in a dilemma. Originally, I was going to go the math minor route but I think I am deciding against it mainly because of the structure. I wanted to take an advanced calculus class to prepare myself for EM, but I really want...

Help me guys... Could anybody please refer me a book in physics for class +1 and +2 that covers all the concepts in detail?? No single book covers all the concepts and I am mad after referring 5 different books and still getting nothing to improve my concepts. Please help me guys... I need an...

How do you write in proper set theoretic notation that a set A = (x,x) where x is a non-negative real number? Also, (x_1, y_1) R (x_2, y_2) if x_1 ^2 + y_1 ^2 = x_2 ^2 + y_2 ^2 The equiv. classes are circles at (0,0), right? How do you write this formally (using set theoretic notation)?

Hi my name is David. I live in Canada. I wanted to know if anybody knew the policies/regulations/opportunities here in Canada regarding individuals sitting in on college/university classes. I am on a fixed income and can not afford to pay for school and I suffer from severe fatigue so full...

Hi I am new using pointers and i am having a hard time trying to figure out how to write a program in c++ using pointers and classes. The program can be used to translate whole dollar amounts in the range 0 through 9999 into an English description of the number. For example, the number 713...

Say two students both express interest in becoming experimentalists of some sort. They both have research experience with experimentalists, comparable GPA's and GRE's, even similar letters of rec. However, one of them took two computer science courses, and the other didn't. Would admissions...

i don't clearly understand that what are the real and imaginary numbers in c++ classes when defining operators. help me . thnx

Is there a way to figure out the number of equivalence classes for all graphs of order n, size k?

I'm talking about undirected simple graphs.

Homework Statement Is there a proof that the number of elements in a conjugacy class of a group has to divide the order of the group? Everyone seems to cite it left and right but I've not seen a proof of it anywhere. Homework Equations The Attempt at a Solution I'm guessing...

These two terms would be the simplest terms in the set theory as they are on the first chapter in my textbook. But why can't i understand it? In my textbook it says A relation R in a set is a set of ordered pairs, so any subset of a set of ordered pairs will be a relation. This includes the...

What are complexity classes (P, NP, etc) in terms of pure sets? ZFC, I mean.

I'm an undergraduate who will be going on to graduate school in physics. I only have two physics classes remaining after this semester, but I have a full year before graduation. Any recommendations for classes to take/things to do in the meantime. I've got a couple ideas myself. What do you...

I'm a junior as a mech engineer and i just feel so bad getting C's in my engineering classes so far. I mean do i deserve to become an engineer if all I can do is get C's? How will this impact me when i do get a job? I lost all confidence in myself right now and i don't know if i can concentrate...

Will not taking math classes beyond what's required for the physics major hurt me when trying to get into grad school for physics? At my school the only required math classes for physics majors are calculus I, calculus II, multivariable calculus, and differential equations. Also I've taken a...

So this summer I'm thinking about taking some community college classes so my summer isn't a total waste. I've taken precalc, ap physics b, and ap chemistry. I'm just wondering if anyone has any ideas of which classes would be mo Applied Physics General Physics and Calculus 1 College...

This is a bit of an odd question, but it's been bothering me for a while. The graduate sequences at top universities (Algebra, Geometry/Topology, Analysis) have always been rather esoteric in nature. Most students entering top universities have a rather strong background in these topics and...

Suppose I had a lot of residue classes and I wanted to find the probability that a random integer (mod the product of the moduli) was in at least one of the classes. How could I calculate that? If the moduli were pairwise coprime, it would be easy: start an accumulator at 0 and for each class...