Analysis Definition and 999 Threads

Hi All, My question is twofold and follows: 1) Why the dimension of torque is not Joule, as it is Newton times meter? 2) Why the derivative of the velocity with respect to the distance cannot be measured in Hertz? Thank you all, Best Regards, DaTario

Hi, I'm taking a course in functional analysis and having some trouble with the following questions : 1. L1(R) is the space of absolutely integrable functions on R with the norm integrate(abs(f(x)) over -inf to +inf. Define a linear operator from L1(R) to L1(R) as A(f)(x)=integrate...

Hi guys, I am trying to do this question on my own but i am not confident if what i am doing is correct. please download the Question2.docx file and my workings are in blue. hope someone can help me with this. 1. Homework Statement A. For circuit (a) below, calculate: R_e and R_C to make...

Homework Statement I have these vectorfields defined on the specified set. All of them are conservative on their set. Also i have three unit circles C1, C2 and C3 centered respectively on (0,0) , (-2,0) and (-1,0) I need to find the line integrals over all of them on H (beregn = calculate...

Hi, my high school students enjoy using the applet found here (http://pages.jh.edu/~virtlab/bridge/truss.htm) to design model (basswood) bridges for our annual regional contest. It seems to require firefox these days. Recently, some designs have been causing extremely large forces to be...

Hello! It's a pretty long time time since I did my last circuit analisys, so I feel a bit rusty. I have to calculate the evolution of current in the inductor: L is generic and u(t) is the Heaviside step function. Do note that at t = 0 the inductor behaves like a short circuit (I don't know...

Homework Statement Find the peak value of current through the AC source of the following L-C-R circuit, if peak voltage is ##V_0## and angular frequency is ##\omega_0##. Homework Equations I have learned Vector algebra and calculus (single variable). I was taught how to use phasor diagrams...

Homework Statement Consider the sequence given by b_{n} = n - \sqrt{n^{2} + 2n}. Taking (1/n) \rightarrow 0 as given, and using both the Algebraic Limit Theorem and the result in Exercise 2.3.1 (That if (x_n) \rightarrow 0 show that (\sqrt{x_n}) \rightarrow 0), show \lim b_{n} exists and find...

Homework Statement A solution of sodium hydroxide(NaOH) contains 1.70g of hydroxide (OH-) ions per dm^3. 20.0 cm^3 of the solution reacts with 25.00cm^3 of 0.0400 mol/dm^3 phosphoric acid(H3PO4). How many moles of sodium hydroxide reacts with 1 mol of phosphoric acid? What will be the chemical...

The equation of motion of ##\phi^4## theory is ##(\partial^{2}+m^{2})\phi = -\frac{\lambda}{3!}\phi^{3}##. Why can't this equation be solved using Fourier analysis? Can't we simply write the equation in Fourier space and take it from there?

Hi, I'm stuck on part b) of the question below: Q: In order to perform pH determinations with a glass electrode, the cell potential was measured for threestandard solutions with the following pH values at 25 C: 2.04, 7.05, and 9.20. The cell voltage readout(in mV) for each of the above solutions...

This analysis uses an AND gate, the very embodiment of simultaneity, for clarity. A 1km long train travels through a 1km tunnel at a speed of 0.6c=180m/microsecond. At each end of the tunnel is a photo-electric beam sensor, which can be blocked by the train. They are connected to an AND gate...

Homework Statement Assignment: Find V_2 using Nodal Analysis Homework Equations KCL U=R*I The Attempt at a Solution - Chosen reference node - Assigned node voltages - Applied KCL to each non-reference node - Solve system of equation - Checked equations for obvious errors See circuit drawing...

Hi pf, Having some trouble with basis vectors for expanding a given vector in 3-D space. Any given vector in 3-D space can be given by a sum of component vectors in the form: V = e1V1 + e2V2 + e3V3 (where e1, e2 and e3 are the same as i, j and k unit vectors). Equation 1. I am happy with...

As far as I understand, a natural system of units is one in which the numerical values of ##c## and ##\hbar## are unity. However, they still have dimensions, indeed ##[c]=LT^{-1}## and ##[\hbar]=ML^{2}T^{-1}##. How is it the case then, that certain quantities, such as the action ##S##, can be...

Hi! I'm would like to ask if there's any open source available for FE/Fluid analysis? I'm planning to use it to simulate icing and melting process in a ice storage based on different geometry.Its something like a fridge with coolant ect. I would like to simulate the icing and melting process...

Hi, I have a over constrained least squares problem. I also have the correct solution to the problem. Now I need to determine which of the vectors are contributing how much information that is close to the correct solution. I am sure there should be some methodology for this analysis, but I...

Dear Physics Forum personnel, I am a undergraduate student with math and CS major who is currently taking an introductory analysis course called MATH 521 (Rudin-PMA). On the next semester, I will be taking the course called MATH 522, which is a sequel to 521. My impression is that 522 will be...

In his book, Euler gives the definition of a variable to be : "A variable quantity is an indeterminate or universal quantity, which includes within itself all completely determined values." What does he mean exactly in the last part of the sentence?

Homework Statement This is a problem from Haim Brezis's functional analysis book. Homework EquationsThe Attempt at a Solution I'm assuming (e)n is the vectors like (e)1 = (1,0,0), (e)2=(0,1,0) and so on. We know every hilbert space has an orthonormal basis. I also need to know the...

Homework Statement In attached image. Just curious as to how their nodal analysis is correct. Homework Equations [/B] ##I_{in} = I_{out}## The Attempt at a Solution Solution in image. I am just not sure how they applied nodal analysis here to find that ##I_s = \frac{12}{12} +...

Dear Physics Forum friends, I am currently trying to purchase Munkres' Analysis on Manifolds to replace the vector-calculus chapters of Rudin-PMA, which is quite unreadable compared to his excellent chapters 1-8. I know that there is a paperback-edition for Munkres, but I heard that the...

I'm trying to find a way to track the speed of a spinning roulette ball in real time through audio analysis, i.e. have a computer report the speed of the spinning ball it hears through a microphone.Here is a video of a spinning ball: I've tried watching a real time spectrum analyser (FFT), but...

Homework Statement Hello folks. I had a recent midterm where I got a problem wrong, but I'm not sure I understand why. I am hoping someone here can shed some light. Please see the attached circuit diagram.Homework Equations Phasor notation stuff... I am correct on all except one sign. Please...

Dear Physics Forum personnel, I am a college student with huge enthusiasm to the analysis and theoretical computer science. In order to start my journey to the real analysis. I am currently taking an introductory-analysis course (Rudin-PMA; I also use Shilov too) and linear algebra...

Homework Statement http://puu.sh/lKP9T/b6aea483b5.png http://puu.sh/lKPdk/a99777477e.png http://puu.sh/lKPkj/a9f199e959.jpg My question is the last picture/slide which says F_DB = F_DA how? why is that? Homework Equations F_DB = F_DA ? The Attempt at a Solution

Homework Statement Firstly, this is more of a schoolwork issue, not coursework or a set task. It is more to do with understanding the circuit seen in the image provided: I am trying to understand why this circuit does what it is supposed to; activate the lamp when a certain light intensity is...

Hi, normally when we try to analyse a structural beam with composite section, we apply transformed section method or so. But what if two beams are just put together (one onto another one) instead of having a composite relation (e.g. glued together), how am I going to analyse the forces and...

Hi, How can one calculate background rejection from a background sample applying cuts ??

I am looking for conformal transformations to map: 1. Disk of radius R to equilateral triangular region with side A. 2. Disk of radius R to rectangular region with length L and width W. 3. Disk of radius R to elliptic disk with semi-major axis a and semi-minor axis b. Thanks!

I've calculated my gear ratio to be 1:27 and the most suitable reducer for it would be a worm drive. I couldn't find any descriptive tutorials to do the mesh and perform constructional analysis of the gears on SolidWorks. Can you help me?

Hi I am trying to teach myself Measure Theory and I am using the book: Real Analysis by Stein and Skakarchi from Princeton. I want to check if my answers to the questions are correct, so I am asking: Does anyone have the answers to the questions in chapter 1 ?

I tried posting this question in this forum a couple of weeks ago, but didn't get an answer to my question. I'm going to try posting it again using the formatting template so that it is hopefully clearer. I am also not sure if this is the right forum to be posting this in. It is a problem I ran...

Dawn spacecraft is equipped for gamma and neutron spectroscopy to analyze the chemical make-up of Ceres surface material down to a depth of 1 meter. To do this it must first descend to a low altitude--the target is 375 km. It has already descended to within 600 km and it seems likely to reach...

Hi, apparently (as seen in my school's online library page) my school has Problems and Theorems in Analysis by Polya and Szego. I hear this book is really good, but I am wondering if this book is good for learning real analysis. I haven't looked inside the book, but is it like an inquiry based...

Homework Statement Use nodal analysis to calculate Va, Vb, and the currents IE1 and IE2 without using source conversions I have tried this many, many times, and I must be missing somethingHomework Equations [/B] The equations I came up with: VA-10/ 1.1 + VA/1.2 +VA-VB/1.4 = 0 VB+2/1.5 +...

Using excel, I tried to do a numerical analysis to get the same results as scheils equation. The problem is that the two concentration profiles start diverging at the end. The numerical analysis is offcourse based on time-step analysis. I have uploaded the excel file. Much Gratitude,

Homework Statement Problem and work attached. It is mostly diagrams so I have just uploaded the pictures. I think what I did to determine the transfer function was correct. I'm not quite sure how to do the last section of part (a) where I need to determine the dampening, static gain, and...

Homework Statement Sorry for the pictures, I'd normally write out the problem but it is mostly diagrams. Question and work attached. I am looking for help with part (a) right now, the transfer function I obtain is shown at the end of my work. Homework Equations Knowledge of Laplace transforms...

Homework Statement given the circuit shown, find V1. Homework EquationsThe Attempt at a Solution see image: am i right? Video says otherwise... I chose to use the superposition theorem here. help appreciated, regards, james.

hello, i have a question regarding the way we represent information on circuit diagrams. The first is to do with representing output voltages: is V out always simply representing the voltage of whatever lies between/trapped between those two horizontal lines? Also, i see a lot of diagrams...

Homework Statement Hello, I have to estimate the junction depth and layer thickness from the graph I am given. I know that when Phosphorus and boron are crossing, at this point is the Junction depth. What about the oxide layer grown, how would you estimate its thickness? For the second graph...

Hi, Is this Bode diagram tells that the system is stable? As I see it is, because of the φ>0. What doest it mean that the upper diagram has two zero-crossing?

Homework Statement A particle with mass M at rest decays into two particles with masses ma=0.15M and mb=0.65M . i) Discuss the relative directions and magnitudes of the momenta of these two particles in the centre of mass reference frame. Homework EquationsThe Attempt at a Solution What's the...

Hi folks, apologies if this is in the wrong forum. I'm a new undergrad physics student and I'm having trouble figuring out how to 'do' error analysis. (I had a quick look through some similar posts here & am still none the wiser.) I'll use my recent lab experiment on Resonance in a Tube as an...

Homework Statement The Attempt at a Solution [/B] At node B, ##i_s + 3 = i_2## ## 3 + 3 = i_2## ##i_2 = 6A## ##V_2 = i_2/R_2 = 3V## But, it seems that the answer is wrong. Using superposition method, the voltage is 4V Please tell me where I got wrong

Homework Statement Two infinitely grounded metal plates at y=0 and y=a are connected at x=b and x=-b by metal strips maintained at a constant potential V. Find the potential inside the rectangular pipe.Homework Equations Laplaces EquationThe Attempt at a Solution I posted a photo of what I've...

Homework Statement Homework EquationsThe Attempt at a Solution 1. 2. i) Use mesh analysis to solve for circulating currents I1 and I2. ii) What is the current dissipated by resistor R1? iii) What is the potential difference across resistor R3? 3 i) . Loop ABEFA...

Hi guys, my first question is:what i really need to understand real analysis? and the second is on the title:could some of you recommend a good book on real analysis? cause I've found some texts that are very difficult to understand some concepts...

Hi, I am trying to find the error propagated by calculating the sum of a set of mass flow rates collected over the same length of time. The sum of mass flow rates can be calculated with two approaches, since the collection time is the same for all of them. Approach (1) is adding up all of the...