Analysis Definition and 999 Threads

Senior in Fall. Is a full course on vector analysis necessary: Stockes theorem, Green Theorem, differential forms, etc. I feel like Griffith's Electrodynamics gives a sufficient overview of Vector analysis in Chapter 1 covering all you need. I've only taken the required Calc 1 - 3 sequence +...

Hi, I was using Hasse Diagram as it is great tool for data analysis but there is a confusion the thing is that I downloaded a software for fca and every time it uses a algorithm it gives a different lattice ,I do understand but suppose I am using it for some representation of concept lattice...

Dear Physics Forum personnel, I am going to start studying the analysis texts (Rudin-PMA, Apostol-MA, Pugh-RMA) on the first week of August. I have a good proof skills through working on Artin's Algebra and Hoffman/Kunze's Linear Algebra, but I unfortunately only took computational 1-variable...

Homework Statement Problem and solution found here: http://homepages.math.uic.edu/~dcabrera/math417/summer2008/section57_59.pdf The question I am interested in is #1. In the solution, the instructor differentiates the series to get to: 2/(1-z)^3 = the series. If I want the Maclaurin series of...

Homework Statement Determine the forces in members BC and CG. The forces are positive if in tension, negative if in compression.[/B] Homework Equations ΣF=0 ΣM=0 The Attempt at a Solution I don't know where I am going wrong, My equations include the applied force, since there is only one.

Hey all, I would like to ask your recommendation for analogue electronic circuit analysis textbooks ( diodes ,transistors and op amps etc... ) dealing with the following topics Logic gates general description and their application using analogue electronics Op-amps: 1)Non-ideal model of...

Homework Statement Let 0 < r < 1. Show that from n=1 to n=∞ of Σ(r^ncos(n*theta)) = (rcos(theta)-r^2)/(1-2rcos(theta)+r^2) Hint. This is an example of the statement that sometimes the fastest path to a “real” fact is via complex numbers. Let z = reiθ. Then, since r = |z|, and 0 < r < 1, the...

Homework Statement Express (-1)1/10 in exponential form (My first time posting - I hope I got the syntax right!) Homework Equations The Attempt at a Solution [/B] I got the solution, it's ejπ/10, but I'm not sure why. Here's my work: (-1)1/10 = (cos(π) + jsin(π))1/10 = cos(pi/10) +...

Homework Statement So I was working on this problem, and my only questions are wether BE and CE can be assumed to be no force members? Also if I am not sure a member is a no force member, will it be revealed once I do the calculations, Homework Equations ΣF = 0 The Attempt at a Solution I...

Homework Statement In the following circuit I need to find current I1 if the given parameters are E1=0V,E2=15V,E3=60V In the second case, given parameters are I2=100mA,I3=40mA,E1=30V,E2=E3=0V In both cases, R2=R3=R4=R5=300 ohm Homework Equations Using reciprocity theorem for DC circuits. The...

Homework Statement With . Give an example, if it exists, of a non constant holomorphic function that is zero everywhere and has the form 1/n, where n € N. Homework Equations So.. This was in my Complex Analysis exam, and i have no idea what to do. I always seem to get stuck at these more...

We have a simple book for power circuit analysis and it is so hard to pass(8-15 pass from 200+) the exams because it has not solved problems(problems are so simple) also our teacher is doing the lessons copy paste from his book I can't learn this lessons and i can't find course material. Is any...

Hi! I am new to ANSYS and I am trying to understand a simulation done by some one else. I have a disk with a spiral in it, and it looks like there is a remote force being applied at the centre of the disk, but spread over the entire face. I don't understand how this force is being spread...

Good day, I am currently developing a thermal expansion analysis of a pipe line, I need to validate if the current installed Gimbal joints will withstand those conditions. These gimbal joints just allow angular movement. Is there any software or method that can help me as reference for this...

Hello, I dropped out of high school a year ago where I did up to calculus II as it's called in USA. This was done using the computational method so we didn't learn any proof. But I feel like I matured as a mathematician and tried reading Zorich's Analysis I (found online) which I'm not finding...

Hello, I'm trying to follow along with the stress analysis derivation for flywheels given here, but I'm stuck at the point where it says:2⋅σ t⋅δrsin(1/2⋅δθ) + σrδθ - (σr + δσr) (r + σr )θδθ = ρr2ω2δr ⋅δθ in the limit reduces to: σ_t- σ_r - r⋅\frac{dσ_r}{dr}= \rho⋅r^2 ω^2 I'm a little rusty...

I am a beginner to Experimental Modal Analysis and I have a scaled miniature frame and my objective is to conduct modal identification under the structure's operating condition using Frequency Domain Decomposition (FDD). However, after I expose the structure and take the reading, the results...

Hello, I'm currently studying math and want to become a mathematician. So far I know up to computational single variable calculus, i.e. Calculus I and II, but not III. Since I found the school textbooks easy I decided to follow the MIT course for Calculus III, so I have started watching the...

Hi all, I was unsure where to put this thread as I read the main topic title in the topology/analysis forums and decided to post it here. I am looking for a chart/graph/website that helps me understand the basic terms such as: -neighborhoods -Boundary points -Singularity points - "Function is...

My job requires me to update excel reports and also send out analysis and summaries. My concern is, I don't really have a lot of experience with statistics, numbers analysis, or have enough background to know what type of tools are available for me. For example, let's say I send out a weekly...

I am currently learning how to work with Cauchy-Riemann equations. The equation is f(z) = 2x+ixy^2. My question: is u(x,y) = 2x or just x? At this link: http://www.math.mun.ca/~mkondra/coan/as3a.pdf in letter e) they say u(x,y) is equal to x. But I don't understand how that is possible. Is...

Hi guys, I'm new here and this is my first post so apologies if its in the wrong location or anything. My post is not in regards to a direct question as such but i am more looking for general advice and guidance on how to tackle a problem. I am working on a project that involves lifting...

Homework Statement Find the image of the rectangle with four vertices A=0, B= pi*i, C= -1+pi*i, D = -1 under the function f(z)=e^x 2. The attempt at a solution So, the graph of the original points is obvious. Now I have to map them to the new function. Seems easy enough, but I am not getting...

The problem states, Show that: a) |e^(i*theta)| = 1. Now, the definition of e^(i*theta) makes this |cos(theta)+isin(theta)| If we choose any theta then this should be equal to 1. What can help me prove this? If I choose, say, pi/6 then it simplifies to |(sqrt(3))/2+i/2)| which doesn't seem to...

Use properties to show that: (question is in the attached picture) Now, it is my understanding that due to properties you can express (sqrt(5)-i) as the sqrt((sqrt(5))^2+(-1)^2) which equals sqrt(6). And (2zbar+5) can be represented as (2z+5). But this would be sqrt(6)*(2z+5) which is NOT...

Hi dear friends. I have a big problem and I need your help, I've realized that the joint connection I've drawn (and it is made already) was (most probably) wrong. There is a plate that is bolted to two U beams and the plate is welded to a horizontal I beam at the top. Please take a look at the...

Hello, I would like to start learning mathematical analysis. I have a basic year of calc( on course in differential, one integral) and a course in multivariable calculus. Will I be able to learn analysis or do I need to learn formal proofs of some sort? Is linear algebra necessary? Also any...

Homework Statement Hi there. I have to do this excercise for my exam and I am kinda lost with the verification of data, more precisely calculations. Can you guys help me out? I set 100N load right above the hole... the distance between centers of the hole and nut is 190mm. the max distance...

Homework Statement Using Kirchhoff's current law, determine: 1) The nodal equations 2) The expression and solution for the inductor voltage 3) The expression and solution for the inductor current 4) Determine the initial and final inductor current Circuit diagram: Homework EquationsThe...

i'm new in ANSYS software. So, i want helps from others. that is my part. i need to do structural analysis on it but i don't know what supports and loads i need and how to do in ansys. supposely, my part will rotate with 50rpm, torque = 120Nm. diameter of cylinder is 80cm, height of spike is...

Homework Statement presentation of a component and its mechanical concerns along with some mathematics behind it. Homework EquationsThe Attempt at a Solution I really have no idea how to even start this but I thought of doing the spring in mechanical pens. I would appreciate any help :)

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...

Hi everyone, I am relatively new to Simpack and would appreciate some help with getting started. Basically I am trying to obtain the displacement of a rotor blade as it rotates (I already have the model). I want to have the displacements of each modal shape along the entire blade radius. Now...

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...

I am trying to apply a force to the tube structure via the plate. I am struggling to get this to solve. Current set up is as follows: Frictionless contact between the two compenents displacement constraing the plate in the x direction force applied to the plate Could anyone offer some...

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.