Analysis Definition and 999 Threads

Hi, I'm a high school chemistry teacher trying to develop a lab experience demonstrating combustion analysis. This is usually something we go through theoretically during discussion of percent composition and empirical formula. I'd like to actually perform one. I was wondering if this could...

Hello! (Wave) The following algorithm is given: And it says the following: First of all, at the first line do they mean that the content of j is i? About the second line, why don't we subtract the polynomial $f[i] \cdot u \cdot h \cdot X^i $ from $(f[0], \dots, f[d'])$? Is there then...

Homework Statement Homework EquationsThe Attempt at a Solution I have attempted and completed all questions. However, I am now trying part (b) with transforming the voltage source into a current source. I am unable to work out the current and I am unsure what to do next. I have included my...

So I am doing the charge to mass experiment and determining the relationship between: 1. accelerating voltage and radius formed by the electron beam 2. magnetic field strength and radius formed by electron beam Theoretically I should obtain an equation of the form: r = (1/B) *sqrt(2mV/e) where...

I am reader Andrew Browder's book: "Mathematical Analysis: An Introduction" ... ... I am currently reading Chapter 8: Differentiable Maps and am specifically focused on Section 8.2 Differentials ... I need some help in fully understanding Proposition 8.12 and the notes leading up to it ... ...

Homework Statement Homework EquationsThe Attempt at a Solution My values for i1,i2,and i3 were: -.005179,-.002857 and .004857. When I ran the same circuit through LT Spice the values they gave me were .00059081,.000809628, and .00119037. Where did I make my error? * as a side not I...

Greg Bernhardt submitted a new PF Insights post The What and Why of Circuit Analysis Assumptions Continue reading the Original PF Insights Post.

In node analysis, after labeling the nodes. I don't know how to choose currents direction to apply KCL. it seems too complicated.. and I end up every time getting different answers the the solution sheet. I've an exam tomorrow. would be much appreciated if you could help me better understand the...

I would like to analyse soil samples myself for N and K. Tried some commercial test kits and the results are good enough in terms of precision. No idea what reagents are used in those kits. Is this something I can make myself knowing I have access to a minimal lab?

Good afternoon, I find it hard to understand friction velocity, shear stress, momentum and temperature scale. For a class, we are using MOST dimensionless analysis to find values of intensity for the turbulence. However, I'm struggling with the terms. What exactly is friction velocity u*? My...

Homework Statement Prove that \lim \frac{n+100}{n^{2}+1} = 0 Homework Equations (x_{n}) converges to L if \forall \hspace{0.2cm} \epsilon > 0 \hspace{0.2cm} \exists \hspace{0.2cm} N\in \mathbb{N} \hspace{0.2cm} \text{such that} \hspace{0.2cm} \forall n\geq N \hspace{0.2cm} , |x_{n}-L|<...

I am reading Bruce P. Palka's book: An Introduction to Complex Function Theory ... I am focused on Chapter 4: Complex Integration, Section 1.2 Smooth and Piecewise Smooth Paths ... I need help with some aspects of Example 1.3, Section 1.2, Chapter 4 ... Example 1.3, Section 1.2, Chapter 4...

Homework Statement The power required by a helicopter when hovering depends only upon the vertical thrust (a force) F provided by the blades, their length l, and the mass density of air, ρ. Establish an equation that relates the helicopters power requirement to these three quantities. By what...

Hi, I was trying to learn fault analysis in three phase system from conceptual point of view. I need your help to clarify few seemingly contradictory points in the following video: 1: At 32: 42, phase to ground fault in introduced. It is said that line voltage Vbc is not affected as is also...

Let me start by saying that this is from a 30 question assessment on Big Oh, Big Theta, and Big Omega. I understood every other question, however, even after being given the correct answer, I do not understand why my answer was wrong for this one. If you could point me in the direction of any...

Homework Statement What is the argument of -4-3i, and -4+3i? Homework Equations tantheta=opposite/adjacent side The principle of argument is that the argument lies between -pi and pi (not including -pi). The Attempt at a Solution arg(-4-3i) = -pi + arctan(3/4) arg(-4+3i) = pi - arctan(3/4)...

Hi guys so I have done a Physics EE but after plotting the graph, I encountered a very huge problem with my best fit, maximum, and minimum line... My best fit line is steeper than my maximum line! (Minimum line: Orange Maximum line: Grey Best fit line: Blue) So the thing is, what does this...

Our professor introduced us to dimensional analysis and told us that we can use it to predict how some variables are proportional to others, for example: I have a ball at a certain height and i want to know the time it requires to touch the grond, i can make a guess that it will depend on the...

Homework Statement If ##\{K_\alpha\}## is a collection of compact subsets of a metric space X, such that the intersection of every finite subcollection of {##K_\alpha##} is nonempty, then ##\cap K_\alpha## is nonempty. Generalize this theorem and proof the generalization. Why doesn't it make...

Homework Statement I don't understand the lemma. Homework EquationsThe Attempt at a Solution Isn't all prime number not a product of primes? The lemma doesn't make sense to me... Moreover, if m=2, m-1 is smaller than 2, the inequality also doesn't make sense. Please help me

It's a really interesting idea. I think I want to eventually add this to my toolbox. But how? I've heard it uses ideas from algebraic topology. But how much of theoretical topology do I actually need to learn? Are proofs important? I don't care about developing the algorithms from scratch. I...

Why is it difficult to find really challenging vector analysis problems (problems about Green's, Stokes' and Gauss' theorems in a Calculus 3 course) in Calculus books? Most of the problems are elementary, at least that's the impression I have(I could be wrong). Is it really difficult to...

Homework Statement Use a CV analysis to show that an element of fluid along a streamline gives \[\partial p/\partial x=-\rho u\partial u/\partial x\] Homework Equations \[\sum F=\oint_{CS}^{ } \rho \overrightarrow{V}(\overrightarrow{V_{rel}}\cdot \overrightarrow{n})\] The Attempt at a...

Hey, I have a question about uncertainty analysis. So my university told me that, usually a quantity has 3 types of errors, reading error, standard deviation (which comes from some repeated measurements of that quantity), and equipment accuracy (which is usually stated on the equipment). My...

If algebra can be characterized as the study of algebraic structures and the structure-preserving maps between them, how could characterize mathematical analysis? In analysis, can we break it down into certain mathematical structures, maybe topologies or metric spaces, and the continuous maps...

Given the circuit in the diagram I was wondering would I be able to make ib equal to the mesh i3. I have the equation for my Super Mesh at i1 and i3 which is: -25+30i3+5Va+20(i3-i2)+10(i1-i2)=0 (1). The mesh i2 is equal to -2A (2). subbing (2) into (1) gives: -25+50i3+5Va-30i2+10i1=0 (3)...

Homework Statement I am working on this problem. They start out by giving me: I am asked to find Rref such that Vcc=8V and Icopy=0.38mA. Homework Equations Transistor equations The Attempt at a Solution In this case, they never specify if IB=0A (sometimes it does ?) but I would assume that...

Homework Statement Homework Equations using nodal analysis The Attempt at a Solution https://imgur.com/a/UNEDH the excel sheet is the matrix i set up then used cramer's rule. I think i got the method down but i just can't find the error so hopefully i overlooked something. The equation i...

What are the ideal conditions in which circuit analysis or analysis of an electrical system is done?I know that the air friction,friction between materials is ignored in ideal systems, such as for ohms law applications.What else is ignored in analysis of ideal electrical systems?

Is it ok to assume that the entropy ##S## of an arbritary system can be written as a power series as a function of the system's internal energy ##U##? Like $$S(U) = \sum_{i=1}^{\infty}a_iU^i = a_1 U + a_2 U^2 + \ ...$$ with ##a_i \in \mathbb{R}##. What results could be obtained from such...

Hi all, maybe this is a silly question but I am a newbie in this particular design field. I'm working on a gas analysis system and I'm facing a mechanical design issue. The overall system is made of the electronic board (PCB) with a gas sensors array plus the signal conditioning electronics, a...

HI, initially I would like to put into words that there are sufficient resources, books or lecture videos on YouTube related to finite element analysis especially for structural dynamics (for instance JURGEN BATHE in MIT). But I would like to make you sure that there NO lecture videos or other...

I'm looking for a good reference book on data analysis techniques for science (namely physics) that has a lot of programming applications and some decent error analysis coverage. Right now I'm analyzing large datasets of telescope arrays and would like something to learn from as this is my...

I do not really understand why we don't include 7Ω resistor in step 1, and I need some explanation with step 2.

Homework Statement Here is a diagram of the circuit and my redrawing with currents drawn: We are to find the power delivered by the dependent voltage source. I found a solution online, but I am not sure why they had the KCL line as: $$ \frac{v_1 - 160} {10} + \frac{v_1} {100} + \frac{v_1...

Homework Statement A fixed-point of a function f : A → A is a point a ∈ A such that f(a) = a. The diagonal of A × A is the set of all pairs (a, a) in A × A. (a) Show that f : A → A has a fixed-point if and only if the graph of f intersects the diagonal. (b) Prove that every continuous function...

Homework Statement Homework Equations[/B] I have a circuit that consists on 3 components in parallel: a current source Ia, a resistor R and a capacitor C. Ia is directed upwards, while the currents through the capacitor and the resistor are both directed downwards. Select the correct option in...

Homework Statement [/B] 2. The attempt at a solution I'm not really sure where to start. We just want to show that ##\lim_{x \to c} \frac{f(x) - f(c)}{x - c} = 0##. I see that ##\lim_{x \to c} (x - c)^2 = 0##. I feel that this may be a simple trick of inequalities, but I am having a complete...

Hello! I have been using python for my data analysis and processing needs as an experimental physicist for an year now. I have used MATLAB and originpro before and python provides me everything I need. But I am not satisfacted with my worflow specifically for plotting needs. I often find myself...

What is the best software for the analysis of chaos in electric circuits.

Does a circular function with complex variable represent a three-dimensional graph? For example cosiz

All, I could use some help. I would like to measure mains frequency in real-time and pass the data through a high-level programming language (preference of Python). I am not sure where to start with this project, I assume commercial mains frequency analyzer exist, however, my google searches...

What book do MHB members regard as the best for a rigorous but clear and (moderately) easily understood introduction to complex analysis? (Note - would be good if the book had hints to solutions of exercise.) Peter

https://www.engr.colostate.edu/~allan/thermo/page8/page8.html The link above takes you to a site I have found to be very helpful in my studies of the Otto cycle, but on this particular page, it depicts an equation for the rate of change of cylinder Pressure vs. crank angle, and in this...

In our study, we measured the seasonal abundance of selected genes from two sites. We want to make a comparison between the seasonal trends between the genes (i.e. which genes had similar trends and which didn't). What would be the best statistical analysis for this purpose? Thanks!

I found an interesting thing when trying to derive the spherical harmonics of QM by doing what I describe below. I would like to know whether this can be considered a valid derivation or it was just a coincidence getting the correct result at the end. Starting making a Fundamental Assumption...

What can spectra tell us? They can tell us the speed of the object, its temperature, size and some more, but how can we do this at home with a glass prism? Do you know?

Hi, May someone helps me regarding this!? i have a controller which will control AC motor as attached. in this controller, a stage comes where I need to use a Derivative Block before point 'B' as shown in the attached picture " controller block diagram" [...

Hi, all. I would like to read books about the topics - Geometry, Real Analysis and Electricity and Magnetism. And I find the followings. Are they decent and rigorous? Geometry The Real Numbers and Real Analysis Introduction to Electrodynamics Classical Electricity and Magnetism Electricity...

Nearly every analysis reference I come across defines the derivative for functions on an open interval ##f:(a, b) \rightarrow \mathbb{R}##. I understand that, in constructing the definition of ##f## being differentiable on a point ##c##, we of course want it to first be a point it's domain, so...