advanced Definition and 536 Threads

  1. K

    A question for Sakurai's advanced qm

    On page 96, he defined \psi'(x')=S\psi(x), but it seems what he later derived for S only transforms the spinor part not the space-time coordinate of the 4-component wave function, then how is the space-time coordinate primed after acted by S? I'm pretty sure it's not a typo according to what he...
  2. S

    Transitioning to Advanced Math

    So far I've been working elementary math problems where the main focus is on creative ideas. I want to up my game but I find it hard to get past the first few chapters of more advanced books because they seem so daunting. For example, I wanted to get a foundation for complex analysis and learn...
  3. F

    Suggestions for an advanced physics lab project

    Hello, I am currently trying to come up with an idea for a project for my advanced physics lab. I have thought to do supercooling/heating, superfluids, and perhaps a rail gun. I have access to a very nice high-speed camera, so I would hope to find an experiment that will utilize it (the rail...
  4. B

    [Advanced] Probability of Union[n-elements]

    Hello, We are all familiar with the formula that relates union of 2 mutually NOT exclusive events formula: P(A\cup B)=P(A)+P(B)-P(A\cap B) For 3 sets its easily derived using this formula. But I wanted to take this step further. I wanted to find a general formula, that represents...
  5. T

    Advanced mechanics - x(t) from v(x)

    Homework Statement A particle of mass m's velocity varies according to bx-n Find the position as a function of time, setting x = x0 at t=0 Homework Equations v(x) = bx-n possibly relevant: f(x) = -b2mnx-2n-1 The Attempt at a Solution The first part of the question asked me to...
  6. E

    Advanced Algebra: Non-Finitely GEnerated Subgroup

    Hello everyone, I'm really lost on where to start this problem; any thoughts? Thanks...
  7. B

    Are our theories or are observations more advanced?

    Hi all, I was just watching an old Feynman clip. In it, he describes areas where our observations are ahead of our theories (e.g. quasars) as well as areas where our theories are ahead of our observations (e.g. black holes). http://www.youtube.com/watch?v=6OrsaL97Epg&feature=related I...
  8. E

    Mastering Partial Fractions for Solving Advanced Summation Problems

    Homework Statement Homework Equations The Attempt at a Solution Obviously I don't need a solution because it's right there. What I need to understand is what happened after the third equation sign and more importantly, how would I learn to solve these kinds of problems on my own. I looked at...
  9. Q

    A problem with Joseph Rotman's Advanced modern Algebra

    Homework Statement Let n=p^rm, where p is a prime not dividing an integer m>1. Prove that p does not divide C_n^{p^r}. Homework Equations There is a hint: Assume otherwise, cross multiply, and use Euclid's lemma. The Attempt at a Solution Although the author gives a hint, I...
  10. C

    Designing new advanced physics course and I could use your help

    I am a high school physics teacher in upstate NY. I am designing a new physics course and could use your help. I felt this forum was the best place for this post as the only other forum that may fit is the teacher sub forum, however, it appears to be little used and I would like input from...
  11. H

    Could Extraterrestrial Intervention Explain Rapid Human Evolution?

    Ok so I'm not sure if this is the right place to post this thread but I figured Earth/evolution? If not I can always move it to the biology section. Anyway I was speaking to a friend today who claimed that there have been periods of advanced human evolution in which the human mind over a...
  12. C

    Faraday Cages ( advanced concepts )

    Hello there, is there any computer software or programs out there that you can create various Faraday cages simulations
  13. J

    More Complex Logarithm and advanced Math Questions

    Hello, was wondering if anyone could please help me with the following questions as for math I have been given a substitute teacher who is of little help. Any help would be much appreciated, even if its just pointing me in the right direction Equation 1: Log (x-3) = 1 + Log 4 - Log x...
  14. J

    Can Complex Logarithms Challenge Advanced Math Students?

    Hello I am currently studying Math B in high school and am having an extremely hard time with my current assessment. If anyone could please help me with the equations listed below it would be very much appreciated as my current Math teacher is on long service leave, and our substitute is...
  15. Y

    What Advanced Linear Algebra Preparation Is Needed for Physics Grad School?

    I have seen a few recommendations on this forum that said a decent math preparation for a physics grad school should include advanced LA. What exactly would that include? What books would you suggest? Is this book one of them? https://www.amazon.com/dp/048663518X/?tag=pfamazon01-20
  16. T

    Real Analysis / Advanced Calc Puzzler

    Let f:[a,b] \rightarrow R be a continuous function such that f(a)=f(b)=0 and f' exists on (a,b). Prove that for every real \lambda there is a c \in (a,b) such that f'(c) = \lambda f(c).
  17. Q

    Motivations for plum pudding model (advanced)

    Hello! Is anyone able to direct me to information regarding the motivation of the plum pudding model of the atom (as opposed to a simply a collection of positive and negative charges)? I am looking for an explanation at the advanced undergrad + level. I recall once reading an explanation...
  18. A

    What are the necessary steps to study advanced Q MECH on your own?

    currently i am joining IIT for an ee btech(b e) degree. i am very passionate for continuing my studies in physics after it, but still i want to study Q mech,G R,on my own here is what i am familiar with as of now. MATHS CALCULUS -TILL pde (variable separable),ODE -double order . vector...
  19. A

    Procedure for studying advanced quantum mechanics.

    currently i am joining IIT for an ee btech(b e) degree. i am very passionate for continuing my studies in physics after it, but still i want to study Q mech,G R,on my own here is what i am familiar with as of now. MATHS CALCULUS -TILL pde (variable separable),ODE -double order . vector...
  20. S

    Extremely Advanced Materials from Manipulation of Space-time

    Hello everyone, I'm a new member of the Physics Forums, and not a physicist by specialization, so please have mercy :-) I'm a linguist by training, and by profession a writer of fiction and role-playing games. I'm currently in the process of getting my first science-fiction novel...
  21. R

    Good self-teaching book for elementary and advanced number theory?

    Hello. I am looking for learning materials for the field of number theory. I took a class this semester in number theory and the topic fascinated me, but I don't feel like I learned that much. I am a mathematics minor so I have a very strong background in basic math, abstract/linear algebra, and...
  22. J

    Advanced Calculus Infinite Series

    Homework Statement Suppose that {an} is a monotone decreasing sequence of positive numbers. Show that if the series an converges, then the lim(nan)=0. Homework Equations The Attempt at a Solution I started the proof with the fact that since I know the sequence is monotone decreasing and the...
  23. W

    About Advanced Calculus by Loomis and Sternberg

    Hey, I found a copy of this book at my school library and I've been looking through it; I've been brought under the impression that this book is more geared towards a physicists audience versus being a "pure math" book. But other than the final chapter on mechanics, I've so far thought that the...
  24. J

    Advanced Mechanics: Construct Lagrangian, Derive Lagrange's Equations

    I have a compound pendulum with mass M, moments of inertia I_ij relative to center of mass, which is a distance l from the point of support Q. Q is attached to the bottom of a vertical spring with force constant k and constrained to move vertically. The top of the spring is fixed to a rigid...
  25. iamjon.smith

    Comp Sci Advanced Java: Client/Server Application Problem

    Assignment: Write a client and server, Java Swing application using socket connections that allows the client to specify a filename to the server in a Textfield and the server send the contents of the text file back to the client if it exists. If the file does not exist, then it should send...
  26. C

    How Does f'(x) Relate to f(x) in Functional Equations?

    Homework Statement function f is differential when x=0, f'(0) is not equal to zero for all a,b(real Numbers) f(a+b) = f(a)f(b) show f'(x) = f'(x)f(x) Homework Equations The Attempt at a Solution f(a+b) = f(a)f(b) for all a,b(real numbers) f(0), a+b=0 then f(0) =...
  27. M

    Edwards Advanced Calculus of Several Variables

    Edwards "Advanced Calculus of Several Variables" We have been using some chapters from this textbook (1995 edition, ISBN: 978-0070602281) in my Advanced Calculus class, but our professor just gave us photocopies of the chapters we were covering (2 and 3 I think). I wanted to try to do some of...
  28. L

    Courses Advanced Math for Graduate Theoretical Physics: What to Take?

    Which "advanced" math courses are needed to prepare for graduate theoretical physics? I am a first year physics student preparing my schedule for next year. I would greatly appreciate advice on what kind of math will help me prepare for graduate studies in theoretical physics. Here is a list of...
  29. O

    Advanced Functions,Exponential Functions

    Homework Statement Inflation is currently causing the cost of items to increase by about 2.5% per year. In 2009 a litre of gasoline costs approximately $0.90. What will it cost to fill a 60 litre gas tank 10 years from now? Round your answer to the nearest dollar. Homework Equations...
  30. O

    Advanced Functions,Exponential Functions

    Homework Statement If a bacteria population doubles in 7 days, when was it half of its present population? Homework Equations A=A0(1+i)^n The Attempt at a Solution i= 100%=1
  31. O

    Advanced Functions: Construct Table & Limitations

    Homework Statement A particular power boat traveling at V0 km/h when its power is turned off will have its speed V given by V(t) = V0 × 10-0.18t where t is the time in seconds since the engine was turned off. If this boat was traveling at 50km/h before powering down, construct a table showing...
  32. S

    Advanced ICE Table (chemical equilibria)

    Homework Statement Derive an expression for equilibrium concentrations in terms of formality f (and Keq) for the compounds in the the equilibrium reactions shown bellow. Homework Equations A2 + 2S <---> 2SA SA <---> S + A Where S is a substrate (THF) and A is an adduct (BH3)...
  33. F

    What is the most difficult and advanced level of math that exists?

    I have a learning disability solely in math comprehension, much of the advanced math was omitted throughout my high school career. I was able to graduate without any very difficult math. But I'm curious, what is the most complex, difficult, and advanced level of mathematics that exists?
  34. Femme_physics

    How come we haven't advanced since binary code?

    This may sound like a stupid question, but binary code seems so "simple", but it's been with us since the 1940's. What'd be wrong with tertiary code, say?
  35. G

    Advanced EM problem involving summation of 1/Cosh

    We solve Poisson's equation in cartesian coords for a region bounded by planes forming a box. Some of the planes are grounded. The lengths of the box are L1, L2, L3. There is no charge distribution. Let a=mPi/L2 b=nPi/L3 The solutions goes like: sinh(sqrt(a^2 +...
  36. I

    Advanced partial differentiation

    Homework Statement Given two functions F and G, I will use the following notation to indicate partial differentiation: Fx means dF/dx Gz means dG/dz (for example) I would like to develop the following two expressions. I don't want them grouped into brackets as they're now, but I have...
  37. MathWarrior

    What exactly is Advanced Calculus?

    What exactly is "Advanced Calculus?" My school lists this class with the description of: Advanced Calculus I "real numbers, completeness, continuity, sequences/series, uniform theorems, derivative, pointwise/uniform convergence, Riemann integral, Taylor's theorem." as the description...
  38. M

    How Can a Grade 12 Student Progress to Advanced Geometry?

    Hi, everyone, I am new to Physic Forum, hope that member in physics forum can help me to overcome my difficulties in math^^ Thank you. Here comes the problem: I have a great interest in Einstein's Theory if Relativity, but I understand that theory requires deep understanding on Geometry...
  39. S

    Help me, / Advanced Fluid dynamics Problems

    Help me, please / Advanced Fluid dynamics Problems Homework Statement Evaluate the radial component of the inertia term (u dot Del)u in cylindrical coordinates using the following identities: x=RcosΘ y=RsinΘ uEx+vEy = UrEr+UΘEΘ and any other vector identities from Appendix A as...
  40. P

    How antidifferentiate quotient without using advanced methods?

    How do I find the indefinite integral \int\frac{dx}{x^{2}+16} without using partial integration or variable change? I have no clue how this can be done.
  41. B

    Advanced Gauss's Law Question

    A solid sphere of radius R has a non-uniform volume charge density \rho(r) and a constant surface charge density \sigma. If the field inside the sphere is uniform and radially atuned, and the field a distance 2R away from the center is zero, find \rho and \sigma in terms of R, r (distance from...
  42. O

    Fitzpatrick Advanced Calculus-edition differences

    Fitzpatrick Advanced Calculus--edition differences Hello everyone, I will buy Fitzpatrick's Advanced Calculus 2nd edition, but am not sure paperback or hardcover. The reason I'm unsure is that even though we should be using the international student edition, the professor is using the...
  43. R

    Advanced Technologies (Please suggest)

    I have to submit a case study on a new or rapidly changing technology. But I'm unable to find any new technology related to mechanical engineering field. I would really appreciate some suggestions here. Technology should be such that there are enough material to help me writing a report.
  44. H

    Book about Aviation (not advanced)?

    Hello people! I'm a physicist (Phd student) with a good Physics background. I'd like to get some very good book about aviation in terms of Physics and Engineering. It shouldn't be very hard and detailed book since I'm not an engineer but at the same time it should contain a lot of "science"...
  45. P

    What Happened to the Advanced Physics Forum?

    What happened to the "Advanced Physics Forum"? I get a DNS error for the url "http://www.advancedphysics.org/". Google doesn't show any news about a shutdown for that site. Anybody know what's going on?
  46. Z

    How to Determine the Partial Pressure of S in a Decomposition Reaction?

    Homework Statement Consider a first order decomposition reaction 2P(g) -----> 4Q(g) + R(g) + S(l) taking place at a temperature T. After 30 minutes from the start of the decomposition in a closed vessel, the total pressure developed is found to be 317 mmHg and after a long time, the...
  47. Z

    How Does Angular Velocity Affect Tension in Rotating Charged Rings?

    Homework Statement A charge Q is uniformly distributed on the ring which is free to rotate about a light horizontal rod. The rod is suspended by light inextensible strings and a magnetic field B is applied as shown in the figure. The initial tensions in the strings are To. If the breaking...
  48. Z

    Advanced Problem in Electrostatics

    Homework Statement A ball of mass m with a charge q can rotate in a vertical plane at the end of a string of length l in a uniform electrostatic field whose lines of force are directed upwards. What horizontal velocity must be imparted to the ball in the upper position so that the tension in...
  49. Z

    Advanced Permutations and Combinations Problem

    Homework Statement There are n points in a plane which are joined in all possible ways by indefinite straight lines, and no two of these joining lines are parallel and no three of them meet in a point. Find the number of points of intersection, exclusive of the n given points. The...
  50. Z

    How Does a Cylindrical Pulley System Exhibit Simple Harmonic Motion?

    Homework Statement A uniform cylindrical pulley of mass M and radius R can freely rotate about the horizontal axis O. The free end of a thread tightly wound on the pulley carries a dead weight A. At a certain angle \alpha it counter balances a point mass m fixed at the rim of the pulley. Find...
Back
Top