Analysis Definition and 999 Threads

Sorry if this is the wrong forum to post this- Can anyone suggest a good (ideally online) resource for challenging complex analysis problems? The ones I have found so far have been mainly computational- I'm looking for conceptually harder problems, preferably requiring lots of proofs, which...

Homework Statement There is an aircraft container, platform lift (PL) and aircraft hold (AH). I need to know the range of dimension, G and Z that will cause the aircraft container to collide with the aircraft hold. Homework EquationsThe Attempt at a Solution...

Hi all, I have an FEM model that I am doing a modal analysis of. I wanted to check that how I am computing the physical displacement is the correct way, as I've read a lot of about normalising modes, participation factors, effective masses, etc. and I'm not 100% sure on it. I've got the...

I'm moving on to a new area of focus at work and have found myself analysing a vibration issue. I've had the basics a BSME gets you at an accredited university (20 yrs ago), but am rusty to say the least. I'm looking for guidance on good reading materials to knock the rust off. My problem is...

I reading article "The Cosmological Constant and Dark Energy" P. J. E. Peebles, Bharat Ratra http://arxiv.org/abs/astro-ph/0207347 They use following sources of density: ## \Omega_{M0}+\Omega_{R0}+\Omega_{\Lambda0}+\Omega_{K0}=1## Next I see " The measurements agree with the relativistic...

Hello all, I'm a third year university physics major. I haven't read much on Fourier analysis however I have had been introduced to it through an oscillations and waves class. My professor was saying that it can be applied to many different areas and is extremely helpful tool to have under your...

Dear Physics Forum advisers, I am a college sophomore in US with a major in mathematics, and an aspiring algebraic number theorist and cryptographer. I wrote this email to seek your advice about taking the Analysis I (Real Analysis I), Abstract Algebra I, and Linear Algebra with Proofs. At...

Dear All, I would like to calculate fatigue life for the following: A SS430F metal component is repeatedly hitting at 0.10mm SS304 sheet with 1 Kg load from 0.20 mm distance. Assume, Area of hitting: 5.5mm X 16mm = 88 Sq.mm. Hitting load = 1 Kg Tensile strength of 0.10mm SS304 sheet is 515...

Homework Statement Consider the Euclidean classical action ##S_{cl}[\phi] = \int d^{4}x (\frac{1}{2}(\partial_{\mu} \phi)^{2} + U(\phi))##, with ##U(\phi) = \frac{\lambda}{8}(\phi^{2}-a^{2})^{2}-\frac{\epsilon}{2a}(\phi - a)##. (a) Show that, in four-dimensional space-time, the mass...

1. The problem, I have a beam 9000 mm in length. assuming a x-coordinate system: supports are at the x= 1500, x= 4500, and x= 7500 positions. there's a uniformly distributed load (let's call it w) through the length of the beam (from 0 to 9000mm) Solve for the MAXIMUM moment. This would be much...

Homework Statement Initial training involves a slow onset rate (1 g/s) run up to a maximum of 9 g’s. After these initial runs, a rapid onset rate (ROR) of 6 g/s is typically performed; this is for high performance fighters. Finally, a Tactical Aircraft Combat Maneuver (TACM) may be performed...

Hey everyone. Four days ago I didn't know anything about fluids but I started my internship and got assigned a project that is all about fluids! And I need some help, this topic can get really complicated but I'm trying to take it one step at a time. Problem Description: There is a pump...

Hey everyone, I'm transferring into UIUC this fall, and I just registered for my classes earlier today. I'm completing dual degrees in physics and math. I've completed the introductory physics sequence, and the introductory calculus sequence, plus a 200 level introductory differential equations...

I started a thread previously (https://www.physicsforums.com/threads/time-dilation-happens-on-moving-frame-but-which-one.814622/) around this concept but it got closed by one of the staff after helpfully pointing me to...

I am doing a retrospective research on breast cancer using multivariate estimates. The aim of the research is to calculate the probabilty of findng the breast cancer given the multiple independent variables (IVs). So the outcome should be binary in nature (cancer versus benign). Some of IVs are...

http://www.cpp.edu/~jlcannons/mat_201_2015_spring/Project_01.pdf I don't know if this counts as cheating, but I hope someone could look this over and see what my professor is ask.

Here's my situation: Summer 2015, I am majoring in math and physics. I am taking a 4-week course on DIFF EQ right now, and completely loving it and doing extremely well. Just finished my set of Calc 1, 2, and 3, and an intro to advanced math course (proof-writing basics). Diff EQ is a 220...

In most GR textbooks, the general form of a spherically symmetric metric is obtained by inspection which is acceptable. But in the textbook I'm reading, the author does that with a mathematical analysis just to illustrate the method. But I can't follow his calculations. In fact he omits much of...

Homework Statement In the given filter network , we have to find the characteristic impedance Z0T And the author found it as Z0T= √Z12/4 + Z1Z2 But I didn't get this , how this expression came up..! I found Z0 by considering Z1/2 in parallel with Z2 & the resultant is in series with Z1/2... & a...

Hello! (Wave) A $m \times m$ grid is a graph of which the vertices are ordered pairs of natural numbers $(n_1, n_2)$ with $1 \leq n_1 \leq m$ and $1 \leq n_2 \leq m$. Two vertices $(k_1,k_2)$ and $(k_3,k_4)$ are neighbors iff $|k_1-k_2|+|k_3-k_4|=1$. We suppose that a unique number $y_w$ is...

The title of the project is as follows: A study of the effect of imperfections on the buckling capability of a soda can under axial loading. My group and I are aiming to carry out the following: Linear buckling analysis of soda can to gain first 5 eigenvalues Riks buckling analysis with...

##A,B## are symmetric matrices of graphs ##G,H## respectively. For ##x \in G##,consider the graph ##(G-x)##, it has vertices adjacent to ##x## and vertices non adjacent to ##x##.## A_x## is the symmetric matrix of the graph ##(G-x)##, where ##C## is the symmetric matrix of the graph created by...

Hello! May I first please direct your attention to Walter Lewin's first Classical Mechanics lecture on Units, Dimensions and Scaling Arguments? He first carried out a dimensional analysis to determine the relation between the time taken for a ball to fall from a particular height to the height...

The more work I do in the field of EE, the more I realizing that my general circuit analysis skills are usually the root of my confusion and could use improvement. Even after putting on my break-a-big-problem-into-smaller-pieces hat, I still find myself confused about the relationships between...

http://www.math.hawaii.edu/~williamdemeo/Analysis-href.pdf Please look at problem 2 on page 39 of the problems/solutions linked above. I know I'm going to kick myself when someone explains this to me but how was equation "(31)" of the solution obtained? The first term of the RHS of (31) is...

Let's have a time series with a period=L. Suppose we arbitrarily choose the window length of the trajectory matrix to be equal to L which is also equal to the period of a time series. Then the second column of the matrix will also start with the same entry as the first column, because all...

Just thought I'd post this on here to see what comments people have: http://www.teslamotors.com/powerwall Tesla has announced a Li-ion battery "Powerwall" priced at $3500 for 10 kWhr storage. What payback to people perceive? Gimmick, niche market or disruptive technology?

I am learning network theorem,my syllabus includes application of kcl,kvl,thevenin and norton theorem,superposition theorem,maximum power transfer I studied it from malvino,its quite good! But lack of solved problems! Actually I am finding difficulty while solving networks with double voltage...

I need recommendation about complex analysis book. As I'm electrical eng. student, it should cover everything one engineer need to know about that mathematical field, but without strict mathematical formalism :)

I have created such vibrating feeder model on SW but on ANSYS I'm only analyzing the frame. 1)How do I set up boundary conditions, I think I need elastic supports? 2)In modal analysis I have elastic, fixed supports, remote displacement - which should I use and in what directions? 3)Do I perform...

I've recently graduated from studying Aeronautical Engineering and been offered a great graduate scheme for a large transport management company as an Analyst Engineer which I'm chuffed about. My question is however, what sort of prospects can this offer me in the long run? And what other...

Dear Physics Forum friends, Why so many people recommend Spivak, Apostol, and Courant calculus textbooks, especially as a preparation toward the advanced courses like analysis and abstract algebra? Are they really necessary? I have been studying Apostol's Mathematical Analysis, Rudin's PMA...

How do you select the settings to analyse a spring? How do you let ANSYS know that this is a spring (not a normal piece of metal) that I want to analyse?

Here's a link to a professor's notes on a contour integration example. https://math.nyu.edu/faculty/childres/lec12.pdf I don't understand where the ##e^{i\pi /2} I## comes from in the first problem. It seems like it should be ##e^{i\pi}## instead since ##-C_3## and ##C_1## are both on the real...

Oops. I just realized that this is the physics homework forum... This is actually calculus homework... 1. Homework Statement Homework Equations n/a The Attempt at a Solution I read, analyzed and reread the text, but I am still confused. 1) How was the position vector ##<x,y>##...

Hi, I need some help on my system analysis and design assignment. I need to put together part of an outline for a deliverable. Below is a little bit of background on the project. This project will design and implement a customer relationship management system in order to provide superior...

Hi all: I'm writing a program based on simple re-entry physics and can't quite get the algorithm to match the theoretical results. A little background: The equations I'm comparing this to are derivations from the equations of motion and the Sutton-Graves equation for peak heat flux at the...

I'm going to ask a very general question where I just would want to hear different possible methods that can be thought of in this kind of problem. I am trying to solve a very specific problem with this but I won't talk about that because I don't want someone to give me the answer but ideas for...

I have the following circuit that I need to calculate the voltage across the capacitor as a function of time. Standard variables for the component values, voltage drops, currents, ect. You'll notice that the voltage (at the top right corner) oscillates at a frequency dependent on the...

Dear Physics Forum advisers, I am a college sophomore with double majors in mathematics and microbiology. I wrote this email to seek your recommendation on selecting the introductory analysis textbook, particularly one that complement with Rudin's PMA well. Starting on this Fall, I will be...

1. The problem statement, all variables and given/kno wn dataHomework EquationsThe Attempt at a Solution

Homework Statement See Thumbnail. Homework Equations N/A The Attempt at a Solution I am absolutely floored as how to do this problem.

I just started learning MCNP for research reactor analysis. Can anybody advise where and how I could easily get material to read and practice

How do you integrate f(z) = e^(1/z) in the multiply connected domain {Rez>0}∖{2} It seems like integrals of this function are path independent in this domain since integrals of e^(1/z) exist everywhere in teh domain {Rez>0}∖{2}. Is that correct?

Homework Statement In each case, state whether the assertion is true or false, and justify your answer with a proof or counterexample. (a) Let ##f## be holomorphic on an open connected set ##O\subseteq \mathcal{C}##. Let ##a\in O##. Let ##\{z_k\}## and ##\{\zeta_k\}## be two sequences...

Are the integrals of the function f(z) = (1/(z-2) + (1/(z+1) + e^(1/z) path independent in the following domain: {Rez>0}∖{2} The domain is not simply connected I know that path independence has 3 equivalent forms that are 1) Integrals are independent if for every 2 points and 2 contours...

Homework Statement The following equation is presented in my textbook, with very little context and J is simply described as the "trans-membrane fluid flux, which can be modeled by using Darcy’s law." Typically in this bioseparations class, when we discuss permeate flux, it is a unit volume...

I'm using gap year to prepare for B.S. in electrical engineering. Currently I'm solving through Spivak's "Calculus", Lang's "Introduction to Linear Algebra" and Velleman's "How To Prove It." I have three books on analysis, Rudin's "Principles of Mathematical Analysis", Abbott's "Understanding...

Brocard's problem is a problem in mathematics that asks to find integer values of n for which $$x^{2}-1=n!$$ http://en.wikipedia.org/wiki/Brocard's_problem. According to Brocard's problem ##x^{2}-1=n!=5!*(5+1)(5+2)...(5+s)## here,##(5+1)(5+2)...(5+s)=\mathcal{O}(5^{r}),5!=k##. So, ##x^{2}-1=k...