Analysis Definition and 999 Threads

Homework Statement The problem want me to do a degree of freedom analysis on the following process using the information provided. There are two chemical rx in the process. The desired production rate of DEA (D) is 105,000 kg/h. The air composition is 21% mol% O2 and 79 mol% N2[/SUB. 25% of...

Hello all, I am a physics major in my 2nd year. My current math courses include vector calculus and differential equations. I have a bit of a desire to try my hand at analysis next semester. The first course I would take assumes no prior knowledge of proof writing and builds from the ground up...

Hello, In my statics course, we had to design a bridge, and now, I have to calculate the internal forces in every member of the truss. At first, I have found Ay and Oy with the moment of force, but then, I am stuck since the truss is not perfectly aligned. Sadly, I can't use the method of...

Homework Statement Find V1,V2,V3,I1,I2,I3 Homework EquationsThe Attempt at a Solution Analysis at super node: V3-V1=40 (equation 1) (V1/40)+(V1-V2/40)+(V3-V2/20)=0 2V1 - 3V2 +2V3 = 0 After substituting in equation 1: 4V1-3V2 = -80 Analysis at V2 (V1-V1/40)+(V2/20)+(V2-V3/20)=0 After...

As an undergraduate, which graduate-level course will prepare me better for grad school, Complex Analysis or Topology? I probably can't fit both into my schedule, but I can definitely fit one. I have already taken undergraduate complex analysis and I'm taking now undergraduate topology. My...

Let ##\mathbb{X}## be the set of all sequences in ##\mathbb{R}## that converge to ##0##. For any sequences ##\{x_n\},\{y_n\}\in\mathbb{X}##, define the metric ##d(\{x_n\},\{y_n\})=\sup_{n}{|x_n−y_n|}##. Show the metric space ##(\mathbb{X},d)## is separable. I understand that I perhaps need to...

Homework Statement In a desperate attempt to come up with an equation to use during an examination, a student tries the following equations. Use dimensional analysis to determine which of these equations could be correct. Here x, v, and a, are the position, velocity and acceleration. v2=ax...

Homework Statement Describe the process of creating a bulk heterojunction and an ordered heterojunction Homework Equations n/a The Attempt at a Solution I understand that each heterojunction has a cathode, anode, acceptor, and donor along with a indium tin oxide coating but I am unsure...

i have just started taking electric and electronic circuits course and i have a question about a basic concept in KVL, regarding the loop direction that you assume in any circuit : does the loop direction that you assume is just telling that you will subtract the voltage of the near points from...

Homework Statement Find V1. I attached a picture for the circuit. Homework EquationsThe Attempt at a Solution This is what I did (Refer to Fig. 1): -2A + (V1)/(50) +(V1-45)/(1) = 0 But when I looked at the solution my professor posted this is what he did (Redrew Fig.1 as Fig.2): -2A +...

Homework Statement A capillary filled with water is placed in a container filled with a chemical of concentration C_{0} , measured in number of molecules per unit volume. The chemical diffuses into the capillary of water according to the following relation (where x is distance along...

Homework Statement S≡{x|x∈ℝ,x≥0,x2 < c} Prove Sup S = c Homework EquationsThe Attempt at a Solution Since x in the set real numbers, there are two cases for x: x < 1 or 0 <= x <=1 if 0 <= x <=1, then x < c + 1 since c is positive. if x < 1, then x^2 < c < x*c + x = x(c+1) thus x < c+1, by the...

Homework Statement Use node voltage analysis to determine values for I1, I2, and I3. If a current has a negative value, then the reference direction chosen was incorrect and the current is positive in the opposite direction. I attached a picture of the circuit. The things in blue (current ix...

I can get some old massive size power transmission cable straight out of the power station. I have the space to erect some posts and go just over 500m but with permission I might get 1km or more. Will use a metal pipe in the ground for ground. This is not technically a dipole, would a dipole...

Suppose we pick a matrix M\in M_n(ℝ) s.t. all its eigenvalues are strictly bigger than 1. In the question here the user said it induces some norm (|||⋅|||) which "expands" vector in sense that exists constant c∈ℝ s.t. ∀x∈ℝ^n |||Ax||| ≥ |||x||| . I still cannot understand why it's correct. How...

Homework Statement I posted the problem in the picture below.[/B] Solve for the currents I1,I2,I3,I4 Homework EquationsThe Attempt at a Solution This was my attempt at it using KVL and KCL: For I1 loop: 8I1-6I3 = -5Vx For I2 Loop: 5Vx + 15(I2+3) + 10I2 = 0 5Vx+25I2 = -45 For I3 Loop...

Hello world! I'm busy working through Halliday/Resnick Fundamentals of Physics chapter 1 and I'm having some difficulty with this particular question. I'll do my best to explain my reasoning and attempt at the problem 1. Homework Statement The problem: Three different clocks A, B and C run at...

Homework Statement Here is the homework problem I was given: The Attempt at a Solution Above is the work that I began, however, I have an overwhelming feeling that I am incorrect and also I don't know how to continue to the next part/parts. Would someone please help me? Thank you H

I was trying to convert a quantity in BTU/(ft*hr*F) to W/(m*C) and I can do it just fine by using a conversion factor from a table online, but what I want to know is how to come up with that conversion factor. The conversion factor I looked up and have been using is 1 BTU/(ft*hr*F) = 1.73...

Homework Statement Solve using the Mesh-current method. Determine the current magnitudes and the voltages across all elements Homework Equations i=v/r i1+i2+i3..=0 The Attempt at a Solution loop 1: 16(i3-3)+25i1-5i2=12 loop2: 4i1-5i2=15 1) i1=5/9i2-1 substituting 1) into loop2 gives...

I have started a class on the analysis of calculus. We are three weeks in and have covered some basic set theory, fields and axioms, and now we are beginning induction. It is a very rigorous course and I hoping someone might know of some helpful resources that could aid me throughout it. Ideally...

Homework Statement Derive the differential equation that relates the voltage (V) to the current (I) entering the circuit. Homework Equations Let: ic = C dV/dt = current traveling through the capacitor (C) ik = (V+Ek) / Rk = current traveling through the potassium (K) channel iNa = (V-ENa) /...

I came across a technique called "multiple-scale analysis" https://en.wikipedia.org/wiki/Multiple-scale_analysis where the equation of motion involves a small parameter and it is possible to obtain an approximate solution in the time scale of $$\epsilon t$$. I am wondering if it is possible to...

Hi PF contributors, Have there been attempts to apply nonstandard analysis to the behavior of photons? For instance, considering the mass of a photon to be infinitesimal. I'm guessing the answer is yes so if you could provide references, I would be much obliged. phoenixthoth

I know that when we have to identify the nodes for solving a circuit with nodal analysis we always have to designate a reference node (which will be the ground node) as a reference for measuring the others' voltages. However I was practicing this and I found this example on...

Good evening people. Recently I started taking the "electric network analysis" course in my school. We already saw the mesh analysis method for solving circuits. Now we are seeing the node analysis method. I understand that the first step for this method is finding the number of nodes (and one...

EDIT: Oops! I posted this in the wrong section! Meant to post in engineering section! I am not sure if I am doing this problem correctly or not. It is very simple. 1. Homework Statement A 2 port network consists of just a series inductor with ##Z=j 100 \Omega## in a ##50 \Omega## system...

Hi, I'm trying to figure out if I haven't undestood the correct way to do a circuit analysis yet, or if I am just mistakening my calculi. Here is a scheme of the circuit: The component in the right bottom angle is a voltage dependent voltage source controlled by V0. I tried to make a mesh...

Homework Statement Is the following equation dimensionally correct? Homework Equations E = (1/2) mv where: E = energy m = mass v = speed The Attempt at a Solution 1. I understand that the 1/2 is irrelevant. 2. I broke everything down into length, time, and mass. 3. I got ML^2/T^2 = ML/T 4. My...

Homework Statement Hi everyone, this is not homework, but I can't seem to see something. I have a multiple BJT circuit I've drawn, and I want to analyze it: Homework EquationsThe Attempt at a Solution Assume the transistor ##\beta##s are equal for both transistors and are known. Assume...

Hi everyone, I just finished self-studying linear algebra from Treil's Linear Algebra Done Wrong, and I want to continue with analysis. I don't know the requirements, so I'll just list what I know. I already know single and multi-variable calculus (to give a sense of my level, I knew everything...

Hi, I'm just start using APDL but i have been stuck trying to make an analysis with two diferent sections, i'd like to make a frame with two column and a beam but i don't know how, thank you.

I was looking at a research paper the other day. In the paper they described some of the results from an experiment. They looked at two of the variables recorded in the experiment, mass and velocity. They looked at mass independently. First, they took the median of the mass. They then had two...

I am trying to numerically calculate the electric potential inside a truncated cone using the finite element method (FEM). The cone is embedded in cylindrical coordinates (r,phi,z). I am assuming phi-independence on the potential, therefore the problem is essentially 2D; I am working only with...

Is learning Fourier analysis useful for a high school student? If so, which book should I refer for learning the basics of Fourier analysis? This topic is not in my syllabus. But will it be useful for solving problems? (even if its not, it seems interesting to me). I have learned single variable...

OK, so i took a course named "Oscillations and vibrations" We began the course with an "introduction" to complex numbers, basically we raced through them in like 3 classes, we talked about how to get complex roots, adding, multiplying, Cauchy-Riemann Conditions, Cauchy's integration Theorem...

Hi. I'm trying to analyse an audio amplifier circuit (DC, frequency response, stability, etc.). I began with the DC bias analysis but I'm having troubles finding where to start. I've attached the full circuit and a DC simplified version. I've placed an 8 ohm resistor as the load (8 ohm...

Hello! So in looking at black hole thermodynamics, I came across the equation ## l_p = \sqrt{G\hbar} ## But in doing a dimensional analysis of ## \sqrt{G\hbar} ## I get ## [\sqrt{G \hbar}] = \sqrt{ \frac{Nm^2}{kg^2} \frac{m^3}{kgs} } ## This obviously doesn't amount to a length. What...

Hi could someone check my answer to the question below. Question: My Answer: I_{fA} = 3I_{1A} = 3I_{2A} = 3I_{0A} \Rightarrow I_{fA} = \frac{3E}{Z_1 + Z_2 + Z_0} = \frac{33kV}{20+20+30} = 471.43A Then using the same method I got I_{fB} = 942.86A

can you recommend a good book on complex analysis? I would like a book that can sharpen my skills in solving complex number problems through graphs and also improve the algebraic part like solving problems related to roots of unity etc. (I have studied calculus myself. I have done a lot of self...

Homework Statement A) Determine the value of the angle θ (measured from vertical) when the angular velocity of link AB a maximum. B) What is the maximum angular velocity of link AB. Homework EquationsThe Attempt at a Solution This is a part of a bigger question. I've managed to answer all...

I'm in my last semester of my undergraduate majoring in mathematics (focusing on mathematical physics I guess - I'm one subject short of having a physics major) and am wondering, largely from a physics perspective if it would be better to do a functional analysis course or a differential...

Homework Statement I just don't understand how to set the problem for the free body diagram (point (a) and (b)). Can someone help me with this problem? Thank you in advance.

Homework Statement I have uploaded necessary image(s) for the question I have successfully accomplished a, but I am not sure how to start b. Homework Equations The sum of the integral paths added up = the desired result. The Attempt at a Solution [/B] So we start with path CR And then go...

Homework Statement Computer the integral: Integral from 0 to infinity of (d(theta)/(5+4sin(theta)) Homework Equations integral 0 to 2pi (d(theta)/1+asin(theta)) = 2pi/(sqrt(1-a^2)) (-1<a<1) The Attempt at a Solution I've seen this integral be computed from 0 to 2pi, where the answer is 2pi/3...

Hi all, I post a question about the dimension of wave function in position space before and people help me to identify that the unit of wave function should be in the unit of ##\text{m}^{-1/2}##. I am verifying that by doing the dimension analysis on Schrodinger equation...

Hello! On this Fall Semester, I will be taking the Linear Algebra with Proofs (Friedberg), Analysis I (Rudin-PMA) or Abstract Algebra I (Dummit/Foote), and Combinatorics (Brualdi). Since I can take only one from Analysis I or AAI on Fall, I am trying to figure out if the introductory...

This is a variant associated with the Scully and Druhl signal-idler photon delayed choice experiment, as described and discussed in Brian Greene's Fabric of the Cosmos. The commentary notes the "delay" may be configured to happen a very (years) long time after the photons pass the two...

I need some help on the direction to go with this problem. This is a workarm on a leg extension machine and there's 300 pounds (max) coming from the weight stack attached via a cable on the cam. I need to find the total force exterted on this system to double check my results on an analysis...

Homework Statement The potential energy of an element in terms of local displacements q1 and q2 is given by the expression: Π = 3(q1^2) - 6q1q2 + 9(q2^2) + 9q1 Write down the expressions for element stiffness matrix k and element force f. I am at a complete loss as to what...