Pure Definition and 499 Threads

So I'm a junior in mathematics and I've reached a point to decide about graduate school. I love pure math and am considering getting a PhD in it. But I do not want to go into academia because I don't think I will enjoy teaching. So I want to go into the industry after a PhD. But one of my...

Can anyone help with how can i become one...Just for hobby..Ive checked out http://hbpms.blogspot.com/ but some guys think that this is overkill so maybe anyone can help me with this...

By "physical particle" I mean color-singlet particles which have asymptotic T=\pm \infty states. How many stable particles exist in the theory? Only one? SU(2), SU(3), and SU(N) gauge groups can all be discussed.

Hi, Just wanted to know if any of you guys had any useful advice with regards to careers from a maths degree. I am in my second year of a integrated masters (in the UK) and would be open to further study. I am doing well academically so far (top 15% of my uni, which is prob 2nd best in UK)...

I know that the vapor pressure of a solvent would decrease with a changing concentration if there was an addition of a solute. However, would the vapor pressure change with a changing concentration of the pure solvent (no solute added)?

Homework Statement The activity coefficient of zinc in liquid brass is given (in joules) by the following equation for temperatures 1000-1500 K: RT ln γZn = -38,300 x2Cu where xCu is the mole fraction of copper. Calculate the partial pressure of pure zinc PZn over a solution of 60 mol%...

Homework Statement Solubility of acetanilide in water is 5.5g/100mL at 100C 0.53g/100mL at 0C A 0.150g sample of acetanilide containing only traces of impurities was recrystalized using a total of 3mL of hot water. a) What is the maximum possible percent recovery of pure acetanilide...

I am currently doing my 2nd year in Btech ( Indian equivalent of BE) in mechanical engineering. however I have always wanted to be a physicist (research or professor) mainly theoretical physics and not engineering .There is such a hype over engineering in India and that's why i chose BTech in...

Hi everone, I am trying to make a rough estimate of fatigue life of a hollow shaft under pure bending at a particular load level.The hollow shaft has a shoulder fillet. The minuimum outer diameter is 69mm and the maximum outer diameter is 72mm with a transition radius of 6mm.The thickness of the...

Basically what I mean by my title is that I am intent on getting a PHD in pure math because I love the subject, and am still young enough to do it without throwing the rest of my life into disarray. But beyond that I need to have a plan. Plan A is clearly to go on to do several post-docs...

Hello. I'm a physics major. But I'm really interested in maths. Lately I've been neglecting physics for Set Theory by Jech & Hrbacek, math is just awesome. Majoring in math is not possible (I already switched major twice). So yeah, I'm a bit indecisive but this time its more of an...

Here's something a Highschool student would ask: If I have something considered a disability in mathematics i.e visual thinking LoL , using a computer to visualize mathematics would be considered a useful tool. Pure mathematics is defined as generalizing abstraction , it is the how's and why's...

Is Pure math like functional analysis and real analysis of any use in Theoretical high energy physics research ? Do I need to learn them?

Hi I am a grade 12 student in Canada and goint to apply for University of Waterloo. I am not supposed to declare my major yet but I am quite certain that I will major pure math. Now waterloo asks us to choose between co-op and regular. 1)co-op I don't know what kind of jobs are...

I have been wanting a book that would contain all mathematical theorems and proofs, such as G.S. Carr's A Synopsis of Pure Mathematics, which I could use for reference. I have been able to get his book digitally, but I want a hard copy, and one that is up to date with the mathematics. Does...

This year, I will apply for University of Waterloo, and I am quite certain that I will attend this university. But I have been having trouble of deciding my major. Of course, I don't want you to determine my major on in stead of my self! I am asking for advice. I really liked playing with...

Paraphrased something like (this is an early proof based class) "I hear engineering majors and physics majors say that they like math as long as it can applied to something. So these folks won't take any upper level pure mathematics courses. It's useless. Is it? Did you know that (something...

Hi Do I really need to take economics/statistics/finance course in my undergraduate years if I am considering the possibility of landing on a finance job? I really do not want to worry about getting job in my undergraduate years but would like to put some serious thoughts after my graduate...

A piston cylinder device contains .85kg of refrigerant-134a at -10°C. The piston is free to move and has a mass of 12 kg and a diameter of 25cm. The local atmospheric pressure is 88 kPa. Now, heat is transferred to refrigerant-134a until the temperature is 15°C. Determine (a) the final pressure...

I’m having a little difficulty understanding the difference between pure states and mixed states. Given a physical system and its associated Hilbert Space, is each member (or ray) of the Hilbert Space always a pure state? Is every linear combination (sum or integral) of pure states in the...

I have been looking all over the web and can find nothing...How do I calculate this? Please help if you can..thankyou

As i know, the metallic structure for example a pure copper metal which is made up of all metal atoms that is the copper atoms actually have all its atom of metallic element bonded together by metallic bonding. Metallic bonding is the electrostatic force of attraction between the positively...

Hi, I am applying in college this year, and I consider to major in mathematics. My desire is to understand the actual beauty of math, as well as its application. Therefore, I consider between Pure math and applied mathematics. Is it good to pursue in both branches? and How long it would take me...

I am a Mathematics and Physics double major, currently in my second year. I really enjoy both subjects, but my interests are progressing towards Theoretical physics/mathematical physics. My academic goal is to improve my understanding of how the universe works and thus I would like to pursue a...

the title says everything. I'm studying pure-mathematics as a freshman but I also like to understand subjects like GR and QM. I have a good understanding of Newtonian mechanics and the classic theory of electrodynamics but I have found quantum mechanics and general relativity so confusing and...

In quantum mechanics, regarding light (photon), how to tell that a wavefunction is in a pure state or mixed state? I am learning these stuffs for my first time. I have attempted to answer that question but I am not sure: a wavefunction can be wrtitten as a linear combination of linear...

Sorry if this had been already discussed: http://arxiv.org/abs/1008.1066 So, what I see (assuming that Universe is infinite, this is an important assumption, not proven of course, but if this is true): 1. The 'Interpretation war' is over, amen, the most important weakness of MWI has...

Mathematics being the only "pure science" Today, in Astronomy, being an entry level science class, the professor goes over basic concepts of science. Such as that we seek to falsify, because it is much easier than verifying. In fact, verifying is impossible because we cannot have an infinite...

I have been thinking much on the nature of pure mathematics. I believe this forum would make the best place to post over say the philosophy section, as i am more interested in the opinions of working mathematicians and physicists than philosophers. In my opinion pure mathematics is the core...

http://arxiv.org/abs/1106.3548 Emergence of Superstring from Pure Spinor Ichiro Oda (Submitted on 17 Jun 2011) Starting with a classical action where a pure spinor $\lambda^\alpha$ is only a fundamental and dynamical variable, the pure spinor formalism for superparticle and superstring is...

1. Homework Statement [/b] 3. if X m and n are positive rational numbers, X(m^2 ~ n^2) , 2Xmn , and X(m^2+n^2) are positive rational numbers. Hence show how to determine any number of right-angle triangles the lengths of all whose sides are rational Homework Equations The Attempt...

Hey everyone, Not sure if this is the right section to post this in, but makes the most sense to me so here goes. Consider a game with k players. Now suppose that if only two of the players are allowed to make changes to their strategies (i.e. k-2 players are frozen) then those two players...

From what I've heard, both do theory, but applied math has a lot more computational and applicable electives, vs. the theoretical based electives of pure math.

According to Zumdahl's textbook, it doesn't. In the book, there is a question that asks which way the equilbrium will shift if additional UO2(s) is added to the system. The answer is the equilibrium is not affected. HOWEVER, I stumbled upon a thread on studentdoctor in which the original...

Hi all; firstly, I thank all of you who respond to my question in advance. I'm a mathematics student with an advanced undergraduate background in most of what's associated with 'pure math', and my particular interest is in mathematical logic. I'd really like to teach myself physics - I have...

Well, I'm 19, I love pure mathematics and I'm determined to follow my heart in my life. but recently this idea has been in my head that there is no job for a pure mathematician except teaching math. I love teaching math to other people but don't want it to be my future career. Do you think that...

Is pure quantum gravity known to exist? I had thought it exists in 3D, but Strominger writes http://arxiv.org/abs/0906.1313 "Determining Z for pure 3D quantum Einstein gravity - if it exists - is an important open problem" Eg. Does the Turaev-Viro model not describe 3D QG?

Are there particular jobs that would be suited to such individuals, besides say programmer or actuary? Or jobs that such people tend to congregate to? I ask this because I've found over the course of a couple of years as a grad student that I'm not too interested in teaching - though...

What does "pure Einstein gravity" mean? Thanks.

Hi, I'm confused by subtle differences between the concept. Let's take the example of a Schrodinger Cat. Supposed you could make a box that can isolate anything inside from say gravity, microwave radiation, is in 0 kelvin, etc. or let's just accept (for sake of discussion) that a box can totally...

Please give an example of pure state without superposition present, is this possible at all?

Haha I hope this doesn't come off as one of those, "has this B ruined my chances at grad school?" kind of posts. I've kind of taken an odd path through my first three years of undergrad, and just finished my school's second year calculus portion, but I've also gone through group and ring...

if a pure inductor is connected to an AC voltage source! The Back emf in the inductor=Thr instantaneous AC emf! THEN How can the current flow through the inductor if the NET VOLTAGE=0? please explain

It might sound as a lame excuse of an ordinary person who complains his inferiorty to those so-called 'genius', but personally, I think that the most important feature for pursuing pure science career is creativity, rather than IQ, unless one has learning diffculty matters or something. I have...

General Relativity Spacetime is pure Mathematics. But we live in a real world. How do we get coupled to Spacetime? We are real. Spacetime is math. Math just describe reality and doesn't affect it. So Spacetime only describe reality as metaphors. But how come physicists believe Spacetime is real...

This is why I'm avoiding pure math --- axioms. There's no such equivalent thing in science as an axiom. It leaves pure math too open, almost like a programming language. Probably not a good idea for me to go into pure math if I don't understand any of the axioms, anyway; and, anyway, 1) the...

I was notified that these are all the proof-based pure math classes offered at my university for the undergrad pure math degree: Linear Algebra Advanced Calculus Foundations of Geometry Elementary Number Theory Complex Analysis Abstract Algebra Since the essence of pure math is...

Hey everyone, I am doing a problem and I am on the "Properties of Pure substances" chapter of the book. These problems basically involve going to lookup tables and reading the values to use in the problem, so I am hoping I can still get some help even though you might not have the...

Homework Statement Pure oxygen was first obtained in the laboratory by the French scientist Antoine Lavoisier in the 18th century by decomposing red mercury(II) oxide, HgO, to give silver mercury liquid and gaseous oxygen: 2HgO(s) \Leftrightarrow 2Hg(l) + O2 (a) From values of \Delta f...

What went wrong with the condition or the procedures if I got the melting point of a pure substance to be: (a) lower than the correct mp (b) higher than the correct mp (c) broad in melting range I guess there's something to do with the pressure and wrong calibration, but I don't know what...