Analysis Definition and 999 Threads

In analysis, we do encounter tougher epsilon-delta proofs instead of more intuitive algebraic methods( those involving infintesimals). I have read that there is branch where infintesimals are rigorized like epsilon-deltas. My question is why people don't use that? Also, is it logically sound...

Could you perform Static structural analysis on this solid sphere? No contacts to be used. I do not have any specific boundary conditions(unable to apply constraints to a complete solid spherical body) All i know is the pressure that needs to be applied. You could consider a smiley ball on...

Hi, i am halfway through one of my assignments and i require some assistance. I do not seek the answer to the assignment just a little boost to my knowledge. 1. Homework Statement Basically, if i am calculating the Thevenin's voltage and the resistor i have removed that is in question has a...

anorlunda submitted a new PF Insights post AC Power Analysis – Part 2, Network Analysis Continue reading the Original PF Insights Post.

why do we need to determine the particle size while estimating the activity of radionuclides? is there any relation between the particle size (sand, silt and clay) and primordial radionuclide? will the content of uranium, thorium and potassium rely on particle sizes?

Dear Physics Forum friends, While vigorously studying Dugundji's Topology and Rudin's PMA, I found that the reference mentions the series of books written by N. Bourbaki, known as "Elements of Mathematics", and Dieudonne's Foundations of Modern Analysis. How are those books, specifically their...

Hello everybody, I am looking for a disgestion procedure of Pb-alloy, so that we can measure the elements with ICP-OES. Pb should be removed, that it doesn't contaminate the system. So far we used HCl for digestion, but the results weren't very good. Elements of interest are: Sn Sb Bi Cu Cd As...

why we need to find the minerals in the sediments while estimating the amount of radionuclides. although there exist a cation exchange capacity in the minerals, do they actually concentrate the primordial radionuclides in them. further on granulometric analysis, do the clay particles retain the...

anorlunda submitted a new PF Insights post AC Power Analysis: Part 1, Basics Continue reading the Original PF Insights Post.

https://files.slack.com/files-pri/T0GNF95E2-F0TV5JSSG/voltage_reversed_and_shifted.png This the voltage waveform across a resistor load (15W). The applied voltage is 230V AC at 50Hz. What can be inferred from this? [ the Analog to Digital conversion of Voltage happens at around 1690 Samples per...

I'm in the third semester of mechanical engineering and I'm taking classes on engineering statics right now. Our professor said the he will give us a preview of finite element methods at the end of the semester. Which softwares would you recommend for learning basic structural analysis? I mean...

Hi friends, I am looking for a good book on complex analysis. My goal is to add some new techniques to my problem solving arsenal, learn some elegant non-intuitive proofs and finally build up to knowing enough about the Zeta function to understand it's relationship with prime numbers.

Hello! I wish to do a lifting analysis in Ansys workbench. Basically it is a wagon with a train on it. I wish to analyse what happens to the model when lifting the wagon which has the weigth of the wagon+train. What is the easiest way to analyse what will happen to the wagon when lifting it...

I'd like to find Vth by mesh current analysis. Mesh A and B share a current source, so they're treated as one supermesh. What's the equation for this supermesh? Also, do I ignore the loop with the open circuit? Since there's no current flowing there... 2A = ib - ia Anyway, is this the right...

Hello All, I am a master student working on my thesis. am using ANSYS workbench to model the debonding between FRP and Concrete (Single Shear Test). The geometry is very simple, so meshing and sketching were easy. however I have the following quires about loading and interfaces. 1. I want to...

Hi at all, what is the better book for study analysis 2, if possible also with exercises...

To prove that n log n is big oh of log(n!), I did: n log n <= C log(n!) n log n/ log(n!) <= C Let k = 1 n > k, so for n = 2 2 log 2 / log 2 <= C 2 <= C C is an element of [2, infinity) Taking C = 2 and k = 1 can we say, n log n <= 2 log(n!) and hence n log n is big oh of log(n!) ?

Hello, I was doing melting and solidification of ice kept inside a annular cylinder. The temperature of inside wall of cylinder is 80 degree. Now i want to analyse the total time consuming to melt the ice and plot temperature variation with time. Actually i did analysis but the result i found...

micromass submitted a new PF Insights post How to Self Study Analysis. Part I: Intro Analysis Continue reading the Original PF Insights Post.

Every math major eventually learns logic and standard proof techniques. For example, to show that a rigorous statement P implies statement Q, we suppose the statement P is true and use that to show Q is true. This, along with the other general proof techniques are very broad. A math major would...

Mentor note: moved to homework forum later, therefore no template.[/size] When doing a rigid body relative motion (accel) problem using vector analysis, how do I know when it's appropriate to substitute sin/cos values vs when to use just the numbers given as the velocity?

Problem is in the picture below. The problem is already solved, but I am confused as to why C(dv/dt) is positive and not negative, since the current is coming out of the capacitor and towards the point v(t), which is not away from v(t) like the solution shows. But if I solve the problem with...

I haven't used any book for AC circuit analysis yet. I have learned the basics of phasor diagrams which my teacher taught in the class (We were only taught series combination of LCR circuits). Can anyone suggest a book to learn more about circuit analysis (like source transformations, Norton's...

Homework Statement The following is a link to the problem diagram and my work: http://imgur.com/a/9tppH The goal is to determine the power through the 20V voltage source. Homework Equations KCL and KVL: Currents entering a node sum to zero. Voltage drops around a loop sum to zero. The...

Hi all, I am reading about hall effect measurements and analysis from an old physics book, A. C. Melissinos, Experiments in Modern Physics, for a lab class I'm taking. An experiment involving hall and resistivity measurements of a p-type germanium sample is performed and discussed. He notes...

1. I have a question regarding the treatment of voltage sources in Mesh Analysis by inspection. I hope this is the correct place to post. In my course textbook (Fundamentals of Electric Circuits 4e p. 101) it says that the voltage is the algebraic sum taken clockwise of all independent voltage...

Hi, My problem is that I have a flat rectangular plate acted by in-plane concentrated force. I want to do the forced modal analysis for 5 modes using ansys for this plate. Can anyone tell me how to do this. Regards, Sagar

Hi all, I'm going to have my students (algebra-based mechanics at a community college) do a video analysis project and I'm wondering if anyone knows of any resources for good sets of instructions for this type of project. I'd like something pretty open-ended so students can choose their...

Dear Physics Forum personnel, I recently got interested in the art of abstract proof, where the focus is writing the proof as general as possible rather than starting with a specific cases. Could anyone recommend an analysis book at the level of Rudin's PMA that treats the introductory...

Homework Statement Based on a lab we did at school, we charged a Styrofoam plate by rubbing it against wool and determined that it attracted pieces of paper but repelled pieces of aluminum foil. Can anyone clarify why this is because I believe that both the pieces of paper and aluminum foil are...

Homework Statement Homework Equations Vs=Vi(1-e^-t/T) The Attempt at a Solution I am stuck on B. I am not sure how I am supposed to graph Vo with so little information. Do i just use V=Vo(1-e^-t/T) and find the output voltage for each time increment that is on the original graph. So...

"Consider a fully developed laminar flow in a circular pipe, perform force analysis on an element of the real fluid." I've just started this type of question, and I'm a bit confused about where to go from here: I've managed to do a force balance horizontally to show that the partial derivative...

I'm confused about how this related to the roots of an equation. Here's the definition: We say that ##f## has a zero of order ##m## at ##z_0## if ##f^{(k)}(z_0)=0## for ##k=0,\dots , m-1##, but ##f^{(m)}(z_0)\ne 0## or equivalently that ##f(z) = \sum_{k=m}^\infty a_k(z-z_0)^k##, ##a_m \ne 0##...

While performing nodal analysis problems, I am always unsure of which node gets subtracted from during KCL. For example, if I have (V1-V2)/2k, how do I know that it shouldn't be (V2-V1)/2k?

hey, need an idea for a paper on differential equations, which can be implemented in two or three days work. also it will be nice if that paper has graphs on it. any help would be most welcome thx

Homework Statement how did they get this ?? it is like a potential divider, can anyone explain... Homework EquationsThe Attempt at a Solution this is what i got[/B]

Hi, Could someone post a solution to the following questions : 1. Let R be the real numbers and A a collection of all groups that are either bound or their complement is bound. a. Show that A is an Algebra. Is it a sigma algebra? b. Define measure m by m(B) = {0 , max(on B) x <...

Homework Statement Assume ## \phi(k_x ) = \sqrt2 {\pi}## for ## \bar{k}_x - \delta \le k_x \le \bar{k}_x + \delta##, and ##= 0## for all other values of ##k_x##. Calculate ##\psi(x, 0)##, and show that ## \Delta x \Delta k_x \approx 1 ## holds if ## \Delta x## is taken as the width at half...

So the course I'm taking doesn't have a textbook requirement just lecture notes as the study material. While these are sufficient I would like to supplement with an outside reference that is a bit more in depth / explanatory. It's your typical undergrad real analysis course covering: The least...

Hello guys, can you recommend me a good and Rigorous introduction to functional analysis?? Rigorous like E.D.Bloch book on Real analysis if possible

Could you suggest me any textbook on Co-ordinate Geometry and Vector Analysis?

why are diagonal matrices and eigen vectors useful in vibrations analysis?

Hello, I was wondering how well is Rudin's Real and Complex Analysis for learning complex analysis, assuming that difficulty won't be an issue. Does it cover the standard material? Is it deep enough? Should I just read from elsewhere instead?

Homework Statement The speed v of sound in a gas depends on the density p and pressure P of the gass. If this dependence is in the form of a power law that is, v = kpaPb where k, a and b are constants (k a dimensionless one). a. Determine by dimensional analysis the values of a and b. b...

Homework Statement Hello, I am new to physics and i was wondering what i should do for the following equation to simplify it. Homework Equations [T]-2/[T] The Attempt at a Solution I tried 1/[T]3 Which I'm not sure is possible when dimensional analyzing. EDIT: Is it [T]-3

Homework Statement Check if the equation is dimensionally correct The frequency f of vibration of a pendulum of length L is given by the equation: f = L/2π √(g/L) I'm assuming 'g' is the gravitation field strength (?), which is [L]1[T]-2 The Attempt at a Solution [/B] I did not know what...

Is taking complex analysis before graduate school apps a "make-or-break" deal if one is looking to apply for theory? I am currently deciding whether to take it junior spring or defer it to senior spring. As it has come up in my research, I have studied some of it, but I'm wondering if it must be...

Could the orbit filling order of electrons be more classical and less quantum? I attached a jpeg and need someone to do a electrostatics analysis of the CAD model version of it. Does anyone have an electrostatics software package and have time to do a finite element analysis on a 3-D part to...

Hi - my professor in functional analysis posted 4 prior years tests just 4 days before the test without solutions. I'd appreciate if anyone can help send solutions for the following with the following questions : 1. $\mu$ is a sigma additive measure over sigma algebra $\Sigma$. A $\in...

I'm taking an abstract algebra course that uses Hungerford's "An Introduction to Abstract Algebra" 3rd Ed. And while I feel like I'm following the material sufficiently and can do most of the proofs it's hard to learn and practice the material without a solutions guide. How am I supposed to know...