Branch Definition and 212 Threads

Hey, I thought I'd just throw this out to the forum to hear some opinions. I'm considering doing an Engineering Technology Diploma here in Canada and I'm just debating which branch to choose based on my interests and experiences. The branches I'm looking at are Electrical Engineering...

Homework Statement The problem and its solution are attached. Homework Equations V = RI R_eq = 1/R_1 + 1/R_2 + ... + 1/R_n (Parallel circuits) R_eq = R_1 + R_2 + ... + R_n (Series circuits) The Attempt at a Solution For the two lines of math below “Now referring to the reduced...

Homework Statement This problem is on how to identify the branch points and the branch cuts of a multivalued function. Consider the following function f(z)=Log(1+z^\alpha) where \alpha is a rational number and z\in \mathcal{C}.Homework Equations Obviously, for the function z^\alpha, it has...

Homework Statement Prove that \int_0^{\infty} \frac{x^{1/\alpha}}{x^2-a^2} dx = \frac{\pi}{2a}\frac{a^{1/\alpha}}{\sin(\pi/a)}\left(1-\cos(\pi/\alpha)\right) where a>0 and -1<1/\alpha<1 Homework Equations It is apparent that there are two first order singular points at x=a and x=-a...

I'm currently a phd student and am doing high energy particle physics. I am unsure about what I will do when I graduate, but I suspect I willl apply for postdoc positions. What I'm wondering is, let's say I do decide to stay in physics. Am I completely limited to a career in HEP physics, or...

I recently had to solve a problem in which i had to find the inverse laplace transform of some function with a branch cut from - ∞ to 0, so i used a contour avoiding that branch cut like this http://www.solitaryroad.com/c916/ole19.gif my problem is as follows: i know the contributions from...

Which branch of statistics and mathematics deals with extrapolations and trend analysis? That is, where one can estimate various trends (be they exponential, linear, etc.) that apply to our data and draw a trend which could extrapolate the future variation. Am I referring to the time series...

Hi everyone! I wanted to know why in the circuit analysis a generator doesn't represent an electrical branch? And the second question is if two resistors are in series on a wire, does it represents only a branch(the series of the resistance) or two branches ?

Homework Statement Given that the standard square root sqrt(anything) has a branch cut from (-inf,0), find the branch cuts of the following: z+sqrt(z^2-1) z+isqrt(1-z^2) z+sqrt(z+1)sqrt(z-1)Homework Equations The Attempt at a Solution I understand what branch cuts do (multivalue functions ->...

Hi all, I was wondering if someone can tell me that is probability branch of mathematics or statistics. Wikipedia says that Probability Theory is branch of mathematics but in University Statistics department offers probability modules. Also, is Statistics branch of mathematics, after all it...

Why is it necessary that branch cuts for multiple-valued functions are non-intersecting? Does this have to do with needing each sheet for one value (ex. for positive/negative square roots)?

Walking the dog takes me past an odd (to me) looking pine tree. I live in south eastern Pennsylvania. With help of Google I think the tree in question is a White Pine, see http://www.oplin.org/tree/fact%20pages/pine_white/pine_white.html Also see the images below of the tree. I don't think...

Like linear algebra goes in depth about linear systems, what should I look for to learn about the extension of linear algebra to nonlinear systems? Is there a name of the field of study? If I go into a book store to buy books about it, what should I be looking for? Abstract Algebra? Complex...

I understand most of the problem, but have yet to understand where a particular term came from. The problem is as follows: Homework Statement Show that (0 to ∞)[SIZE="5"]∫[SIZE="4"]dx/[(x2+1)√x] = π/√2 Hint: f(z)=z−1/2/(z2+ 1) = e(−1/2) log z /(z2+ 1). The Attempt at a Solution I actually...

I am from India.. I want a branch which has significant room for research works in future after B tech Mtec and so on.. Right now my preference is Electrical and electronics,Electronics &Ccommunication,Electrical Engineering, Computer Science.(need further suggestions from u)... Is it good or...

I am in a dilemma over which branch should i take? I find all the subjects interesting : physics, maths , physics , biology Initially i decided to take physics and become a physicist but after reading the forums here i should better take engineering. But which branch? Is there any branch...

Homework Statement Find the continuous branch cut of a complex logarythm for C\[iy:y=>0] One of the complex numbers, for example, is -4i Homework Equations I don´t understand what to do with the subset. How could I find the continuous branch cut in the subset? The Attempt at a...

Homework Statement Which branch of mathematics does arg max come from? The set theory? Homework Equations The Attempt at a Solution Googling

I'm in dilemma over electronics and computer science and engineering. Actually i like everything - everything related to science is interesting to me which adds to my difficulty in choosing the course But i don't know much about - what ill learn in electronics and computers? Do computer...

Homework Statement I'm wondering which branch of mathematics is given in the following paper. What I understand in it is the function set mapping notation (f:X->Y), series and sequence notation, but nothing else. I want to know which branch of mathematics this is to be able to read this paper...

I'm evaluating an electrical enclosure for a power-plant. Power plants are not required to follow CSA standards, however this electrical enclosure does anyway. Upstream of the enclosure is a rated breaker, and this is what is currently defined as the 'branch.' However, inside of the enclosure...

Homework Statement Hi everyone, This is more of a definition clarification than a question. I'm just wondering if a branch is the same thing as a branch line/branch cut? I've come across a question set that is asking me to find branches, but I can only find stuff on branch lines/cuts and...

Homework Statement As the title says, which branch of mathematics predominates in the equation below?Homework Equations Source: http://en.wikibooks.org/wiki/Macroeconomics/Optimal_Growth The Attempt at a Solution I'm not very familiar with the max operator, and don't really know where it...

Homework Statement Which branch of mathematics predominates in the equation below? Homework Equations Source: http://en.wikipedia.org/wiki/Taylor_rule The Attempt at a Solution I know that a line over a number can mean either a statistical mean or a complex conjugate, and that...

Which branch of mathematics has "max" operators? In which branch of mathematics one would express "biggest real x which satisfies A(x) = B(x)" this way?: max{x ∈ R : A(x) = B(x)}

Hello, me again, I was told in my last thread "Unsure 10th grader about the future" to invest my energies more towards engineering. That being said, which Engineering branch is going to be better suited in the future? My time frame for graduating, with a B.Sc., is from 2016-2018 (Sophomore in...

I want to be in the research, development and construction of quantum computers, quantum circuits etc? General electrical engineering with a focus on quantum tech or will something along the lines of physicist be enough? Thanks

Homework Statement Define an analytic branch f(z) of w, such that f(z)=0 for the limit of z->\infty Now what is f(1)? Homework Equations w=\frac{z+i}{z-i} The Attempt at a Solution The branch cut of the logarithm is: (-\infty,0) All branches of the logarithm are...

I am planning on be a theoretical physicist or a astonomy-physist, but I need to make sure there's a possible career need for those fields before I choose it. Also I need to know what classes I should take, as I have three more years of high school. So I need to know what classes to start...

Homework Statement I'm trying to learn the Branch and Bound method. For that, I need to master the Dual Simplex Method (DSA). I have tried and tried and tried to google examples but can't find any. Does anyone know where I can find any? How do you know the LPP has become infeasible with...

I just got a book on Quantum Mechanics, but at a loss with the maths. I had Algebra, Trigo, Calculus, differential equations, etc, but that was a long time ago, now as a programmer, I hardly ever think of those and forgotten them as a result. I believe I still have strong enough concept of...

[url]g4ph-h7l_aM[/youtube] This is pretty old but it just crossed my mind. Wanted to share it with you guys. One question though, why is that current arc going upwards? And why did it appear at all? Can we discuss this effect?

I'm asked to find an equivalent resistance and the current through each branch of the following circuits. (r is a fixed arbitrary value for all resistors in the circuits) Homework Equations V=IR Sum of I at a node = 0 Sum of V about a closed loop = 0The Attempt at a Solution I've been playing...

Homework Statement Does the principal branch square root of z have a Laurent series expansion in the domain C-{0}? The Attempt at a Solution Well I'm not really sure what a principal branch is? I believe that there is a Laurent series expansion for z^(1/2) in C-{0} because originally our...

Homework Statement Prior to t=0, switch is in position A (for long time). Afterward, switch is in position B. We need to derive the equation for vc. Homework Equations v(t)=v(\infty)+[v(0)-v(\infty)]e^\frac{-t}{\tau} \tau=RC The Attempt at a Solution at t=0...

Homework Statement Find the inverse Laplace Transform of \frac{1}{s}\frac{\sqrt{s}-1}{\sqrt{s}+1} Homework Equations The complex inversion formula (well known) The Attempt at a Solution The first thing is finding singularities and branch points and so on. From the \frac{1}{s}...

Homework Statement I am reading the solution the integral of (log(z))^2/(1+z^2) from 0 to infinity in a textbook, and I'm not sure I quite understand it, and I think this misunderstanding stems from my difficulty w/ branch points/cuts for multivalued functions. Homework Equations...

Homework Statement Find a branch of w=z^{1/2} which is continuous along the negative x-axis. The Attempt at a Solution The book proves that the principle square root function |z|^{1/2} \big( \cos(\theta/2) + i \sin(\theta/2) \big), where -\pi < \theta \leq \pi is discontinuous along the...

I have done well in undergraduate mathematics, and would like to do some self study in something more advanced and stimulating. I am interested in concepts such as number theory and set theory, or any type of mathematics that can be used to study systems of information, behavior...anything...

Homework Statement Consider a branch of \log{z} analytic in the domain created with the branch cut x=−y, x≥0. If, for this branch, \log{1}=-2\pi i, find the following. \log⁡{(\sqrt{3}+i)} Homework Equations \log{z} = \ln{r} + i(\theta + 2k\pi) The Attempt at a Solution This one...

Homework Statement Homework Equations KCL and KVL. V=IR The Attempt at a Solution I tried to combine all the resistors, and I ended up with an equivalent resistance of about .44444 mA. Is my value for equivalent resistance right? Also, does this mean that the resistance passing...

Hi everyone, Could someone please help me calculate the branch points?

Complex: Defining Sqr(-1) using Main Branch Logz Posted: Jul 3, 2011 12:46 PM Plain Text Reply Hi, All: I am having trouble understanding how/if sqr(-1) can be defined when we use the standard branch Logz of logz: As far as I know, we define the complex exponential...

Question about which "branch" of physics this would be... I posted this in General since I wasn't sure... and it's not an actual problem, per se, just an inquiry about the fields of physics... (sorry if this is the wrong forum >_>) During work at lunch one day, I was stumbling through...

I aspire to do Engineering at Uni, however I am not quite sure on which field to go into. I much prefer theory and Mathematics to hands on or practical work, I don't mind moderate doses but I would simply prefer a branch that involves more theory and Mathematics etc Im considering Electrical...

As I studied, the optical branch of a crystal is called so because it can be excited with e.m. fields but I wondered whether it is possible to excite the optical branch also with chargeless particles like neutrons or the charge/action-on-charge is necessary for the process? And if so, why? I...

You can choose to limit yourself to continuous or analytical functions

dy/dx = (4x - y)/(x + 2y) for y(0) = 1 As not seperable us y = vx where v is a funciton of x method. If you follow it through you'll get y as a quadratic. According to the answer scheme, I should take the +ve square root because of y(0) = 1... why? Why can I discard the -ve square root...

Hi all, I've reason to believe that the function f(q)=\int\frac{d^{4+n} k}{(2\pi)^4}\frac{1}{(a \cdot k -i \epsilon) (b \cdot k -i \epsilon) (k^2 -i \epsilon) ((q-k)^2-i\epsilon)} where a, b are real -valued 4+n component vectors; epsilon is real, positive and infinitesmal, and taken to zero...

I'm a physics student and I graduate in a few months. I have been looking for PhD's because I want to carry on learning physics but have so far struggled to find a PhD subject that really caught my eye. I do, however, have an interest in the brain, the mind and consciousness (although I have no...