What is Classes: Definition and 591 Discussions

defining a tangent vector v as the equivalence class of of curves: v = [\sigma] = \left. \frac{df(\sigma)}{dt} \right|_{t=0}, i want to show that this definition is independent of the member of the equivalence class that i choose. where \sigma represents a function from the reals to the...

I've been around these forums quite often, never signed up till today. Figured this would be the best place to ask. Fall term for college starts in 30 days. I need to get a new laptop, but I'm not sure where to start. Don't really have a set budget, I just need to be sensible when...

Rising Math/Physics double major sophomore here. Math background: Calc I-III, Diff Eq and Elem Linear Algebra. Right now I'm leaning more towards Math or Theoretical Physics as something I'd like to do in graduate school but I want to focus more on the math for now. I was wondering which classes...

Are there any good, preferably tutorial, papers on equivalence classes with regards to theories of physics, and how they relate to units? Specifically, I'm looking for something that discusses that if you formulate the laws of physics in feet, then convert the units to inches, you haven't...

I'm an "engineering physics" major. However, I am interested in adding a double major of ME, EE, or AE, due to interest and increased employ-ability. Due to how my university organizes things and other circumstances, it can be very difficult to double major. Would it be to my disadvantage...

Roughly speaking, in cohomology theory, characteristic classes are elements of the cohomology of the base space of a fibre bundle which can tell you something about the nature of the fibre bundle. In "Characteristic Classes" by Milnor, he mentions that characteristic homology classes for the...

Homework Statement Lets say I have the word mississippi . Would I then say that I have 11 elements in my multiset . And would I say that I have 4 equivalence classes because I only have 4 different letters. If I had the set A={1,2,3,} Would I say this has 3 different...

I will be attempting to get a PhD in statistics eventually though I have yet to get my BS, however, in the mean time I have a few electives I need to fill and I want them to help me in my self study of relativity and quantum mechanics. I will not be surpassing a Master's knowledge of these areas...

Do I need these classes from a community college?? I'm currently attending a community college and going to transfer to a university. I am having an endless debate on rather I want to go EE, ME or Engineer Physics. I need to decide soon so I'm not wasting time at school... Anyway, the...

Hey guys, So I'm a physics major who wants to go to grad school in theory. My current preference is high energy theory but I'm open to other fields of course. My question is, if I want to go into theoretical physics or any very mathematical field of physics is it better for my grad school...

I'm going to try to explain my situation without going into too much detail or sounding like some kind of sob story. Take into consideration that I'm aware that my situation is my own responsibility, and that there is no easy path for myself or anyone. I don't mean to make my situation sound...

Hello, I was thinking of going back to college for biology but the problem I am having is that I can only have one class per semester (Lack of money) and I am unsure how to approach this field, in high school I was horrible at math (Didn't even pass Alb 1) I didn't take any science classes of...

Hi, I have to take a bunch of SS/humanities classes to fulfill my gen ed requirements. These classes bore me to death, and I don't think I can muster the strength to put in effort in these courses. If I take these classes pass/fail, would grad schools look down on it?

This quarter I have had a really tough time concentrating on school. I was dealing with a lot of existential stuff adn it impeded me from concentrating on my science classes adn that suffered greatly. I had to drop three of my classes adn I can't even really concentrate on my remaining two...

Hi, I'm currently doing a project and this topic has come up. Are there any known famous classes of polynomials (besides cyclotomic polynomials) that fit that description? In particular, I'm more interested in the case where the polynomials have odd degree. I know for example that the roots of...

I am getting my B.S. in statistics in a few years and will then try for a PhD, and I happen to have 1-4 spots where I can take additional courses. I am taking all my stat courses as well as a year of real analysis and a year of abstract algebra and want to take these other courses, but I may...

for the next class to start? Sometimes classes at colleges are scheduled so inconveniently and odd, for example, they have a class which starts at 7:00 Am, the other class that you need to take that semester is at 7:00 pm in the evening -10Pm. OK Suppose you were to wait on campus from morning...

What do they expect transfer students to do?! I'm transferring as a junior and need engineering classes but they are basically all filled up. I can't register until orientation and I'm signed up for the first one which is in early July.

Just had an exam there, one of the questions was Partition the list of groups below into isomorphism classes 1.\mathbb{Z}_8 2.\mathbb{Z}_8^* (elements of Z_8 relatively prime to 8) 3.\mathbb{Z}_4 \times \mathbb{Z}_2 4.\mathbb{Z}_{14} \times \mathbb{Z}_5 5.\mathbb{Z}_{10} \times...

http://matt.might.net/articles/nine-kinds-of-students/ haha this is awesome :D

(one for the UK people) Does anyone know of schools or colleges that offer A2 level physics as an evening class? I did the AS a couple of years ago, enjoyed it and would like to take it to the next level. The only problem now is that I am working full time, so am looking for evening classes...

They seem to be a total scam based on, if you notice they offer Trigonometry at one school and it takes 4 weeks to complete, however the normal semester is 18 weeks long. So when you enroll in the course, the teacher is only "required" to teach a certain amount of material, if you take the exact...

I have been out of school for the past 10 years, and have returned to resume my coursework in electrical engineering (I changed majors from engineering physics). I have not taken ANY electrical engineering core classes yet, so I am starting from the beginning with the major classes. I have...

Would you take geometry first, and then Trig and then Pre-calculus?

Hi, this is my first post here. I'm now in my first semester of my freshmen year. This semester is about to over, and I'm planning my classes for the next one. I have a huge interests in pure mathematics and theoretical physics. But my doubts are regarding time; 9 classes in one semester (42...

I'm considering a math major, and for next semester registered for Calc 3, Intro to Linear Algebra, and Mathematical Proof & structures, I'm also taking organic chemistry and a history class...has anyone had experience with more than one math class? I mean is it unbearable? Also, I was...

Homework Statement [PLAIN]http://img15.imageshack.us/img15/1/unledjs.png Homework Equations The Attempt at a Solution Hi, If anyone could help me with this I would be very glad! I have said that M=(aij) and M^T=M^-1 therefore if e1 relates v, where v=(x,y,z) then...

There must be about the same number of upper division classes for this engineering major as there are lower division? It would seem? Ok, so, this link shows lower division classes for the major, it does not show upper, so these are the classes for an engineering B.S. (In other words, these...

Homework Statement If m\inZ and 2\leq n\in Z, then |[m]_n|=\frac{n}{(m,n)} Homework Equations Lagrange's Theorem The Attempt at a Solution I am confused simply because it seems like the problem might be missing something. We are asked to find the order of the congruence class m modulo n...

Currently I am doing research with a professor in plasma physics, which I am enjoying, though it isn't what I would like to do in the long run. This summer I am going abroad, but next summer it looks like I will have the choice between applying for an REU (which, of course, I may not get anyway)...

Hi everyone, I just have a question, Could someone please outline the steps to differential equations class from AP calculus AB/calculus I? And out of curiosity, could also list some classes beyond differentials (if there are any) that are completed by college students who have skipped...

Hello all, I've been thinking about/planning my classes for my third semester at college. So far here are the ones I have in mind with their descriptions: Intro Physics III - Electricity and Magnetism: Electrostatics, circuits, electric and magnetic fields; electromagnetic waves. Classical...

Homework Statement Prove or disprove and salvage if possible: for [a], [b] ∈ Zn for a positive integer n, if [a]·[b]=[0], then either [a]=[0] or [b]=[0]. The Attempt at a Solution I've managed to disprove the statement: Let n=6,[a]=3,and[b]=[4]. The[a]·[b]=[ab]=[3·4]=[12]...

What undergraduate math classes would you want to take if you wanted to be exposed to the stuff used in complex analysis? (Besides complex analysis)

Background: I'm a freshman physics major, and I noticed that I have a time conflict between these 2 pairs of introductory classes that I want to take, and they are only offered once in 2 years, so I will like some opinion on which I should take: 1. graph theory OR continuum mechanics 2...

I have seen the following in a abook: "The argument(s) of a method can be any type of object (as long as its class has been made available to the program), as well as the predefined default types of variable. For example, methods in our three-vector class are not limited to just accepting...

Homework Statement Suppose A_{\lambda}, \lambda in L, represents a partition of the nonempty set A. Define R on A by xRy <=> there is a subset A{\lambda} such that x is in A{\lambda} and y is in A{\lambda}. Prove that R is an equivalence relation on A and that the equivalence classes of R are...

Hey guys, so I'm a freshman and course registration for next year is coming up. I have several thoughts about what to take but I'm not exactly sure what would be best. It's spring break right now for us and I'm going to talk to the undergrad physics advisor in two weeks, but I thought maybe I...

Homework Statement As the title says, I'm trying to find an efficient algorithm in order to write a program for computing conjugacy classes in subgroups of the general linear group GL(n,\mathbb{F}_p) (n x n matrices over a finite field of p elements, p prime) efficiently. In particular, I am...

What classes or programs would good to take or participate in while in high school for an introduction and background in Mechanical Engineering before college? Also, what colleges are the best for Engineering? Thanks so much.

I'm currently a high school freshman in NYC and was wondering what classes I should focus on in school and what programs are available in astrophysics, cosmology, and or relating to it for someone my age? Thanks so much.

We have a string builder class which is mutable in C#. Why do we need immutable string classes?

I should really make two different thread for this one but meh i'm asking what classes I would need to take in order to graduate, not to transfer/get in 1. I'm going to transfer as a chemistry major hopefully to UCSD, university of california san diego (or UCs in general) and I'd like to know...

Determine the homeomorphism classes of compact 3-manifolds obtained from D^3 by identifying finitely many pairs of disjoint disks in the boundary? I just started reading some low dimensional topology on my own and I came across this question. I have realized that based on how the...

Hello. I am a third year physics major (technically, although I am still taking 200 level classes) and understand that programming is a must. I do not know anything about programming. I initially planned on taking a summer programming course (if not, then next fall) but it seems as though I'd...

When choosing my classes, I've always picked the easier class rather than taking the harder just so I can get a higher grade. (For example, I took Calc III last semester rather than Honors Calc III). Do you guys think this is a bad idea? If I want to go to graduate school wouldn't picking the...

Hey everyone, I've asked something similar, but the time to sign up for summer classes is nearing. Reason I want to take Calc III this summer- so I can take Modern Physics in the fall. I will be working 40 hours a week at a summer camp, so I'm not sure how that will pan out with an...

I was wondering the policy of this at most schools. I'm a physics major/pre-med (which also gives me a zoology minor and a chemistry minor), and got a C in calculus I (got A's on 3 tests, bombed the fourth test on integrals with a 30%), but got A's in Calculus II and III . Would most schools...

May sound bad, and I'm sorry if it does, but I want to boost my GPA with some easy classes in addition to my sciences and maths (FINALLY decided to take that required science major biology... ugh) So far I have Intro to Health & Phys Ed HPED 252 Careers in Sports Medicine ATTR 101 Intro...