advanced Definition and 507 Threads

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).

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...

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...

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...

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...

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...

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...

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...

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) =...

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...

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...

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...

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

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...

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)...

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?

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?

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...

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...

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...

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.

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...

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...

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.

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"...

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?

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...

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...

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...

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...

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...

Homework Statement An ideal monoatomic gas is confined in a cylinder by a spring-loaded piston of cross section 8 x 10-3m2. Initially the gas is at 300K and occupies a volume of 2.4 x 10-3 m3 and the spring is in its relaxed state. The gas is heated by a smalll heater until the piston moves out...

Homework Statement An artificial satellite of mass m of a planet of mass M, revolves in a circular orbit whose radius is n times the radius R of the planet. In the process of motion, the satellite experiences a slight resistance due to cosmic dust. Assuming the resistive force on satellite...

Homework Statement Solving y^4+4y-69, I got the following: By manually plugging in, I found that y= -3 and y=2.76. However, I would like to ask you if there are other good, efficient ways to find solutions? (Without using sophisticated math tools. Imagine, I have this prob on the exam)...

Homework Statement Using the definition of |x-a|<delta implies |f(x) - L|<epsilon, prove that lim x->0 x^n*sin(1/x) holds for all n belonging to natural numbers. Homework Equations Definition of a limitThe Attempt at a Solution Ok, so when I see "prove for all n belonging to natural numbers" I...

Do 10 steps. Solve the problem exactly. Compute the error (Show all details). The problems says do 10 steps, but 3-4 steps will suffice! Problem: y(prime) = (y-x)^2 y(0) = 0 h = 0.1 I don't understand how to get the exact solution and what to do from there! I know that, f(x,y) =...

Homework Statement Given the three vectors A = 2i + j, and B= i + k, C=4j, find the following a) |A X B| b) |A x (B X C)| c) the volume of the parallelepiped whos concurrent edges rae represented by A B C. The Attempt at a Solution I am stuck on A. I assume it couldn't...

Hi everyone. I'm new posting to these forums, although I have been lurking for the past couple of months. My question is simple: How can I teach myself math? I am 16, and love learning new concepts and ideas regarding math. What is the best way to start out, and are there any good websites...

Hi everybody, 1) It is possible to fill region somehow on one side of a parametric curve with gnuplot? 2) It is possible to do multiple parametric plots with the command "plot for [i=1:10] ..."? 3) How can display calligraphic fonts with gnuplot? 4) How can I use points which are larger than...

Writing requires greater intellectual capabilities than advanced math because there are no rules with the exception grammar and spelling whereas with math it's more about repetition. Having an essay published in the New Yorker, for example, requires more brainpower than fully grasping general...

Which course should I do to study "advanced" nanotechnology? Hi, By "advanced" I mean futuristic concepts like nanorobotics, micro/nano electromechanical systems, programmable matter, metamaterials, etc.. Right now I am studying nanotechnology as part of the BSc (Uni of Western Australia)...

Looking at Marcus list I wonder: What would it take for LQG to be seriously researched (i.e group of phD's publishing papers, post docs, grad students, courses in study) at Princeton's institute for Advanced Study as well as Stanford or Harvard, UChicago, Rutgers, MIT, etc., will be starting an...

Hey, I have a very basic question ! I want to go for advanced study in physics. I want to do research in basic physics (like, quantum mechanics or particle physics ). Is it possible to go for a Phd in physics with a bachelor's degree in an engeneering subject (like electronics or...

Hi all, I have a question and hope to solve. problem terms : 1- there are K holes. 2- there are N group of Pigeon. 3- there are M Pigeon in any Pigeon group. 4- each group of Pigeon can chose Z hole so that K >= Z >= M. 5- we don`t know which hole selected by a Pigeon only we know M...

Hello! Is there a good math or physics topic for me to study and learn this summer? I have already taken freshman physics 1 and 2 (basic mechanics and electromagnetism) Calc 1&2, and Diff Eq. In the fall, Ill be taking Calc 3, Intermediate Physics, and Advanced Mechanics, so is there something...

So I've been trying to figure this out. The question is: If the limit x->infinity of Xn=Xo Show that, by definition, limit x->infinity sqrt(Xn)=sqrt(Xo) I'm pretty sure I need to use the epsilon definition. I worked on it with someone else and we think that what we have to show is the...

Because I like both physics and engineering, can I do a physics undergraduate and then go on to engineering master's and Ph.D degrees afterwards, or do those require engineering undergraduate?

Hello, In quantum mechanics I often come across with some very complicated integrals which I need to calculate in an analytic methods (For ex. symmetric and antisymmetric functions , Gaussians ,etc.) Do you know where I can find a summery of those techniques? thanks

Hello, In quantum mechanics I often come across with some very complicated integrals which I need to calculate in an analytic methods (For ex. symmetric and antisymmetric functions , Gaussians ,etc.) Do you know where I can find a summery of those techniques? thanks

I am looking at getting into numerics. This will be mostly aimed at computation in physics. What texts would recommend that are numeric classics? Also a list of texts from in terms of how advanced they are would be great. My Math background: Calc 1-3, Linear Alg, Diff Eq, Math Phys., Complex...