Approach Definition and 545 Threads

I have the following two problems and I don't know how to approach them. We talked about payoffs, Simple and Compound Growth,Conditional Probability, Law of total probability, Baye's Theorem. Simple math is obviously not enough, I need to prove it using those topics we covered. I'm not...

The algebraic formulation of quantum mechanics (and related stuff, like quantum thermodynamics & dynamical systems etc.) via C*-algebras provides a viewpoint based mostly on abstract functional analysis. However, I've yet to see a working application of this approach, i.e. an example of a...

Homework Statement An alpha particle 4 2 He 2+ approaches a stationary gold nucleus 197 79 Au at a speed of 7.0 X 10^6 ms-1. By considering only electrostatic repulsion, calculate the closest possible distance of apporach between the alpha particle and gold nucleus. Homework Equations -The...

I am curious about the how Newton discovered his laws of motion and his law of universal gravitation. It seems in modern education, the laws are introduced to students somewhat 'magically', and then the students then do various practical experiments and calculations to verify them. If we step...

[FONT="Trebuchet MS"]Has anyone worked out a functional Parametric chart that enables one to choose a appropriate Microscope (exclude Scanning electron MicroScopes(MS)) amongst the multitude of choices for a modern academic micro-biological & research lab, hence formulated a general guideline...

Homework Statement Given the momentum p1 and p2, find the distance of closest approach (b) also known as the impact parameter. I think we are also given charges q because I later have written solve for b2 in terms of x2, q2, P2, p\bulletx, q\bulletx, and p\bulletq. [those are supposed to be dot...

Homework Statement I have a problem that says: Find the directional derivative of C(x, y) in the radial direction at any surface point (x, y). It then says: Find the shark’s approach path from any point (x0, y0) at the sea surface. I found the directional derivative in the radial...

Homework Statement Use the determinate method and also the Guass elimination method to find the inverse of the following matrix. Check your results by direct multiplication A =\left | \begin{array}{ccc} 2&1&0\\ 1&0&0\\ 4&1&2 \end{array}\right | = Let's do...

Hi everybody: does anyone know of a good book on special relativity that takes a geometric approach? I'm doing research that requires that I know special relativity, and, while working problems out for personal-practice, all I do is either: 1) make gamma-messes 2) clumsily-use invariants...

Homework Statement Show that the natural numbers satisfy commutativity of multiplication and distributivity of multiplication over addition. Homework Equations The Attempt at a Solution I'm wondering if there is any potential circularity in this reasoning. I proved distributivity...

There are a couple of fantastic e-books on probability and random processes, designed for graduate electrical engineering classes but should be interesting to many other folks as well. The first is from prof. Hajek at Illinois. http://www.ifp.illinois.edu/~hajek/Papers/randomprocesses.html...

I tried to use Lagrangian and Hamiltonian to solve 1-D elastic collision, but I got nothing but constant velocity motion. Is it because I miss some constraint? Such as the motion is colinear or something?But how to write a constraint like colinear? Or it's not actually solvable with Hamiltonian...

What is the analog of particle creation and vacuum energy in the Bohmian approach? Has Bohmian QFT been developed to a point where it can provide a satisfactory explanation of this phenomenon within it's framework?

Homework Statement ^^I'm sort of lost as to how to approach this question. Should i just find the voltage at node A? Then at B? But what confuses me the most are these time values we need to take into account. So what would be the best way to approach this question? Thanks.

calculate \iint_{M}^{}\vec{F}\vec{dS} where \vec{F}=(e^y,ye^x,x^2y) M is a part of hyperboloid x^2+y^2 which is located at 0<=x<=1 and 0<=y<=1 ,and its normal vector points outside like this : http://i28.tinypic.com/f9p63r.gif i am used to solve it like this...

Hey, all. What would be some good books on continuum mechanics for undergraduates majoring in Physics? I'm familiar with Timoshenko's book that's used in Engineering, but I'm looking for something a Physics student may use. Thanks in advance.

Homework Statement Deep Space Nine sees Enterprise and a shuttle approach from exactly opposite directions with 0.6 c and 0.4 c, respectively. At what fraction of the speed of light (b) does Enterprise see the shuttle approach? Homework Equations V2=(v1+ v1,2)/[1 +(v1*v1,2/c^2)] The...

Hi there, i would like everyone to evaluate my working here, this is my attempt to wave equation / vibrating system using vector approach. please correct me if i had made some mistakes. Your help is much appreciated, Thanks, and have a nice day. :smile: Regards, Daniel.

First of all, I searched the forums and couldn't really find one on how to approach a quadratic equation that has brackets. Here is the equation: y=(x+1)2 - 2 My teacher told me to factorize by sight in pairs and i used this equation for it: ax2+bx+c. I think c=-2 but I don't know how to get...

Suppose I want to show that an+1 < an one could find the derivative of the sequence and then show that it is negative for a certain domain of values for x. However is it also possible to conclusively prove that an+1 < an simply by subbing in n+1 and n and show that the inequality leads to a...

Hey, I'm in my Physics 1 course now, and am having issues. I've done well in math, and will be entering Calculus 3 next semester. I usually have no issues doing calculations at all. The problem I seem to be having is with physics problems in general. Sometimes I have to derive a totally new...

Is somebody here involved with the causal set approach to QG? http://arxiv.org/abs/gr-qc/0309009 is a nice introduction to the theme, and I liked among the introduction with some quotes of Riemann. If so or any of the good people like to give opinion, I would like to make some questions...

I can't figure out how to use the Green's function approach rigorously, i.e., taking into account the fact that the Dirac Delta function is not a function on the reals. Suppose we have Laplace's Equation: \nabla^2 \phi(\vec{x})=f(\vec{x}) The solution, for "well-behaved" f(\vec{x}) is...

Well we know what matryoshka dolls are? Those nested dolls one inside another. I am a mere laymen and amateur that's why I am using descriptive terms instead of math rigor. So what should the approach be: If RH nest Hilbert-Polya conjecture, then what things nest HP conjecture? And ad...

I've been trying to start teaching myself Calculus recently out of interest and the amount of useful info on PF is awesome but I can't seem to find a good way to actually start it off. As far as books are concerned, it seems that Stewart's is the standard but supposedly it's too watered down...

Homework Statement I need to find N: {[pi^(N+1)] / (N+1)!} . {1/2^N} <= 10^-5 Homework Equations The Attempt at a Solution I'm really struggling with this, i think taking logs is involved, but i can't seem to find a value of N. Any help?

I'm taking a class in abstract algebra this summer, so I thought I'd get ahead by reading the book before class starts. This is from a book called "Abstract Algebra: A Geometric Approach", chapter 1: Applying the Principle of Mathematical Induction with a slight modification. If S' \subset \{n...

Homework Statement http://img245.imageshack.us/img245/7535/38187200.th.jpg I need to find F from the picture above Homework Equations The Attempt at a Solution My answer so far is: \frac{-y}{(x^2+y^2)} \vec{i} + \frac{x}{(x^2+y^2)} \vec{j} is this correct?

Hi everyone, I have a question for anyone who considers themselves adept at designing circuits. I was wondering, how do you approach the design of complicated circuits? What stages do you go through to get from a concept to a real working circuit? I myself am not an electrical engineer...

Anyone know a nifty change of variables or trigonometric identity that will make this integral relatively easy to do: \int_0^T \sin(at+b) \cos(ct+d) dt 'Cause from where I'm standing, that's pretty awful... Thanks!

Homework Statement I am supposed to evaluate the integral using partial fractions. \int \frac{1}{(x+5)^2(x-1)} dx 2. The attempt at a solution So after doing all the work, I get (-1/36)ln|x+5| - (13/6)ln|x+5| + (1/36)ln|x-1| But the answer in the book appears as (-1/36)ln|x+5| -...

Homework Statement I am having trouble remembering how to uncouple these. Homework Equations \frac{dt}{ds}=1 \frac{du}{ds}=2tu The Attempt at a Solution I remember putting it into a matrix. x'=\lambda x

Homework Statement Sove cosz=2 Homework Equations The Attempt at a Solution I need to solve this, but am not quite sure how. I was told to use log.

Homework Statement Two forces, F1 and F2, act at a point. F1 has a magnitude of 8.60 N and is directed at an angle of 63.0 (DEGREES) above the negative x-axis in the second quadrant. F2 has a magnitude of 6.00 N and is directed at an angle of 53.2 (DEGREES) below the negative x-axis in the...

Homework Statement Two protons are moving directly toward one another. When they are very far apart, their initial speeds are 3.00*10^6 m/s. What is the distance of closest approach? Homework Equations The Attempt at a Solution I really need help in question. I need to know how to...

... as the sun was traveleing at a closer distance towards the Earth , would Earth bound objects start to fly away from the Earth surface and head towards the sun's surface , or would everything on Earth surface fly towards the sun's surface as the same time the Earth itself flew towards the...

Homework Statement A proton (q = 1e, m = 1u) and an alpha particle (q = +2e, m = 4u) are fired directly toward each other from far away, with an initial speed of 0.01c. What is their distance of closest approach, as measured between their centers? (Hint: There are two conserved quantities...

Once you earned all the degrees needed to qualify for being a physicist, what sort of method do you implement to solved problems? I know scientist applies(or should) follows the scientific method to solved problem. How does your research generally begin? Do most physicists look at existing...

A Lagrangian approach to the Barrett-Crane spin foam model--Livine Bonzom Here's a paper helping to sort out the situation with spinfoams. I think it is probably important. Actually we've been anticipating something of this caliber. Back in October I put in a placeholder for an expected Livine...

I have been given a multivariable function. Now to sketch it, I could plug in some arbitrary values and plot it out, but is there an easier way? How exactly can I figure out the sketch of a graph? F(x,y) = (c - x^2 - y^2)^(1/2), c is a constant

Homework Statement Consider a comet which passes through its aphelion at a distance rmax from the sun. Imagine that, keeping rmax fixed, we somehow make the angular momentum l smaller and smaller though not actually zero; that is we let l\rightarrow0. Use equations c=l2/\gamma\ mu and...

Hi everyone, I know this subject has been broached before but would appreciate some extra help - I'm an English major in second year uni so I haven't done physics and maths for a while, but I have quite a lot of free time at the moment and would really love to get back into these subjects...

Hi, I'm in my first year of engineering. To my disappointment, I've found that my curiosity to physics and math have died down over the weeks. I feel like I'm learning everything by rote - getting decent grades but not really understanding anything. The real learning comes from studying in the...

Homework Statement I need to find the following limit. Homework Equations \lim_{x\rightarrow0}\frac{(x-\sinh x)(\cosh x- \cos x)}{(5+\sin x \ln x) \sin^3 x (e^{x^2}-1)} The Attempt at a Solution I think it's got to be something with Taylor series, but I don't really know how to do it.

Is it a good book?

Hi all, Teaching myself calculus. Wondering about the book in the title. Any feedback is appreciated.

Let f be the funtion given by f(x) = 4x^2 - x^3 , let L be the line y = 18 - 3x, where L is tangent to the graph of f. Show that L is the tangent to the graph of y= f(x) at the point x = 3. I'm equaling both graphs like this: 4x^2 - x^3 = 18 - 3x and then I isolate everything...

Critical damping provides the quickest approach to zero amplitude for a damped oscillator. With less damping (underdamping) it approaches zero displacement faster, but oscillates around it. With more damping (overdamping), the approach to zero is slower. I got this from hyperphysics but I...

Hello, I recently came across a wikipedia article entitled "pantheistic solipsism". I had never heard of this before, and when I read the article, it said that pantheistic solipsism is a concept that says that one can create a entirely different parallel universe simply by dreaming it up. When I...

I get the impression that unlike solving derivatives and integrals, sequences and series do not have a lot of...should I say...find-the-equation-and-solve-your-way element -- sorry if that comes out wrong. Maybe it seems to be less "rote math" and because of this, I'm having a hard time trying...