advanced Definition and 536 Threads

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...

I go to NYU, and to remain in the honors program I am required to study abroad at least one semester (fall, spring, or summer). My university has study abroad "satellite campuses" where it's incredibly easy to study abroad. The problem is that the course offerings at these satellites are...

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...

I really would like to suport the ideology that's helps science and space exploration. Capitalism, Socialism or a Mixed Economy, Socialist Market economy etc.

I was having a discussion with a friend and I wanted to know if the following statement is true: "calculus is advanced algebra and deals with curves (changing numbers), group theory is another branch of advanced algebra. The point is they are all algebra."

Hey, I did a full year course on quantum mechanics, I did it in the level of Resnick and Eisberg and Griffiths... Now I want to proceed further in the summer and start with Heisenberg Matrix Mechanics as well... I want recommendation on how to start... I'm thinking of starting with Merzbacher...

1. Determine approximate solutions for each equation in the interval x ∈ [0, 2π], to the nearest hundredth of a radian. a) sinx - 1/4 = 0 3. I don't know what to do... I am supposed to asnwer in radian like this --> (π/4 , 4π/6 etc..)

Near what points (x,y,z) does e^{yz}-x^2 zln{y}=\pi have a solution for y in terms of x and z

If you compress a gas in a piston(a monoatomic perfect gas for instance), what is the equation that gives you the temperature of the gas or amount of heat introduced in the gas vs the volume of the gas? And what is the ratio of energy that is transformed into heat vs into pressure? Is it...

Learn "advanced basics" of statistics? I'm a physicist and would like to prepare for a job interview where the job is to do statistical analysis and optimization of models for medical data or so. The firm does consulting for pharmaceutical companies. Anyway, I know the very basics of...

Homework Statement I don't need to state the whole problem; it's the definitions at the beginning that are giving me trouble. Homework Equations So it says, Definition: A function f(x,y) is continuous at a point (x0,y0) if f(x,y) is defined at (x0,y0), and if lim(x,y)-->(x0,y0)...

A function f is said to be symmetrically continuous at X0 if lim [f(X0 + h) - f(X0 - h)]= 0 h-> 0 Show that if f is continuous at X0, it is symmetrically continuous there but not conversely.

Homework Statement The driver of a vehicle on a level road determined that she could increase her speed from rest to 50 mph in 35 sec and from rest to 65 mph in 95 sec. Assume that acceleration varies linearly with speed (with a non zero intercept). Determine the max acceleration in each case...

I planned to buy a latex book.. a complete latex book with examples.. from introduction to advanced level any suggestions thanks

http://www.sciencedaily.com/releases/2009/12/091205233544.htmSanta skeptics have long considered St. Nick's ability to deliver toys to the world's good girls and boys on Christmas Eve a scientific impossibility. But new research shows that Santa is able to make his appointed rounds through the...

Hi all. This is my first post. I am a career changer. Long story how I got here, but I will tell you the short version. I have a B.A. in Political Science and a Teaching Certification In Social Studies. I owned my own business for about 7 years. Due to multiple reasons I have closed my...

Is it possible to buy/download Shapiro, Ascher H., and Ain A. Sonin. Advanced Fluid Mechanics Problems. I can't find it http://mitocw.vocw.edu.vn/OcwWeb/Mechanical-Engineering/2-25Fall-2005/Assignments/index.htm

im looking for an advanced calculus text somthing with more difficult problems than stewart. not an analytical style text but somthing with a good number of exercises covering topics in integral and differential calculus.

im looking for a textbook with an advanced level of dificulty in the problems somthing harder than stewart. not an analytical style text but some with a good number of exercises.

I am doing some experimental work with stirling enging design, in order to add supliment the power I use at my house, and want to get some facts straight, and throw out some ideas for discussion (or destruction, as the case may be) Basic assumptions:(so far) The more heat differential would...

Hi All, Its been a while since I took a proper math course. I am will be working through Cal 1-3 (Diff Eq) this year, with some other math topics on the side (probability, or lin alg, not decided yet). Can you please give me ideas on how to ensure that I get the most out of my courses...

What kinds of problems might someone encounter in trying to study Advanced Physics (focusing on Quantum/subatomic physics) by themselves from textbooks? What might be a good path to follow in this? What math and physics topics/books might you be able to recommend and in what order? Is doing...

[Question] Let p1, p2 and p3 be 3 distinct points in PC2( Projective space, ie (z0,z1,z2) belong to PC2) Find the dimension of the linear system of cubics containing these 3 points. I have solved it for the non collinear case, by taking a projective transformation of the 3 points to...

I have used Thomas' Calculus , now what should I consider next (mainly for Differential Equations/Complex Analysis/Fourier Transforms etc.) I heard Kreyzig is good , any recommendations on that ? PS: Actually I found Thomas' to be very good, but when I read Courant's Calculus text, I felt as...

Could someone recommend a good book to review Calculus leading up to Advanced Calculus. I have Advanced Calculus next semester and want to get a jump on it. It has been a couple of years since I had Calc II. and I am reviewing the Stewart Book. I am looking for something a little more concise...

This is a follow on from a previous thread about issues I had with regular Eddington-Finkelstein coordinates. First I show a brief derivation of the advanced EF coordinates which appears to have less issues than the regular EF coordinates and then discuss what I think appear to be the remaining...

1. The problem statement 1) A train whistle has a frequency of 1000 Hz. If the train is speeding at a velocity of 60 km/h past a stationary railroad crossing attendant, what is the apparent frequency a) as the train approaches him, b) as it moves away from him? Assume speed of sound to be...

I am in my senior years now and I am Canadian, going into a Canadian University. I plan to become a physicist, a researching physicist at a university. I want to research at the point where I am like Yoichiro Nambu. This is my question: Does a Canadian potential physicist have any chance at...

I'm interested in learning the calculus of general random variables, i.e. those that do not necessarily have a density or mass function - such as mixtures of continuous / discrete / Cantor-type variables. There seem to be several different approaches: 1. Via densities, using delta...

hiiii its me peer...i need some help to solve dis problem. A thin plate containing a central hole is made of an elastic and perfectly plastic material with youngs modulus E=200GN/M,Poissons ratio v= 0.3 and yield strength infinity=100MPA, D=0.4M,L=2M,W=1.2M.THE THICKNESS OF PLATE IS 0.01 A...

I am currently taking an advanced calculus course and, for the most part, I really like it. However, I believe I could benefit from a supplemental textbook. My class uses Goldberg's Methods of Real Analysis. I would like to be able to find a text that offers more detailed explanations and...

I was just wondering if anyone could suggest information about the advanced study of trigonometry. I am contemplating getting a degree in mathematics, and I'm currently trying to master the basics of trigonometry in preparation for taking cactus. In looking at all the courses I'll be taking...

Physics Advanced Oscillation problem, Help Needed! Consider an atom of mass m bonded to the surface of a much larger immobile body by electromagnetic forces. The force binding the atom to the surface has the expression: F= exp((a*cos(z))+(b*sin(z))) +d*tan(z) where a,b, and d are...