Branch Definition and 212 Threads

Hello all, I am a mechanical engineer, graduated just last year. Although I am not working with fluid mechanics right now, I was browsing through my fluids book from school and saw the section on pipe networks. As I was reading, I developed this question which I could not find an answer to in...

I have to study a little of all that before undergrad anyone can help me and put it from the easiest one to the harder ? so i can study them in turn : -classical mechanics -quantum mechanics -particle physics -high energy physics -relativity -astrophysics -atomic molecular and optical physics...

In which branch of physics we can put Quantum Gravity and Cosmology ? -astrophysics ? -relativity ? -quantum mechanics ? -classical mechanics? Or other ?

I want to study all physics branches but i want to start with a branch that could help me with all other branches and in the same time the easiest . These are the branches: -optical physics -electromagnetism -condensed matter physics -high energy physics -nuclear physics -thermodynamics...

Homework Statement I have to calculate the current through each branch - I1, I2 and I3. Homework EquationsThe Attempt at a Solution The only reason I'm having trouble with this problem is because the voltage source is in the middle and I'm a little confused. I am struggling even to add up the...

Hey guys! How are you? This month I have to decide which engineering branch I want to study. The ones I like most are civil and mechanical. But I don't hate any of the other branches. My goal is possibly to become an entrepreneur and start my own business. Which one would be better? Thanks a...

Let $f(z)=z^{1/3}$ be the branch of the cube root whose domain of definition is given by $0<\theta<2\pi$, $z\neq 0$ (i.e. the branch cut is along the ray $\theta=0$.) Find $f(-i)$. Could someone please help me understand the question? I'm not too clear on "branches" and "branch cuts".

Homework Statement Find the current passing through the 5mH inductor in steady state. Homework Equations I=V/R The Attempt at a Solution Since it says steady current, so no change in current which implies that the inductors act as conductors so the current should just split equally So I...

In H.S. physics, chemistry & maths: I liked everything about the communication unit (lots about waves, refraction and light) I loved the space unit which includes a lot about satellites, space and spacetime which I am also really passionate about (relativity). I love watching crash course...

Consider the following circuit (arrows represent current direction) : How does one determine the direction of the current in the middle branch ? Would it be correct to assume that : - if emf 1 > emf 2, current directionin middle branch is up, - if emf 2 > emf 1, current direction in middle...

I am a bit confused. Why ##\frac{1}{\sqrt{z}}## is branch point and ##\frac{1}{z}## is pole. And why we cannot use Cauchy integral theorem when we have branch point? Why we need to cut off branch point when we integrate? Thanks a lot for the answer.

The problem I want to calculate ## |I_1| ## The attempt ## V_m = Z_{total}I_1 \\ I_1 = \frac{V_m}{Z_{total}} ## ## Z_{total} = \frac{ \frac{1}{jwC }\cdot (R + jwL) }{\frac{1}{jwC} + R + jwL} \\ \frac{ R + jwL }{1 + jwCR + jwCjwL} \\ \frac{ R + jwL }{1 - w^2LC + jwCR } \\ ## ## I_1 =...

Dear fellows, I was wondering about what lies inbetween the fields of geology, chemistry and mathematics. I mean, is there a branch of study that uses the three areas? Thanks in advance. JGSeg.

I need to perform the following integration: ##I(s) = \frac{1}{2\pi i} \int_{\gamma}\text{d}z\ z^{-s} \frac{\text{d}\ln\mathcal{F(z)}}{\text{d}z}##, where ##\mathcal{F(z)}## is analytic everywhere on the complex plane except at the zeroes of the function. For the purpose of integration, the...

I was just curious to see what everybody enjoyed the most (or enjoyed the least) in terms of chemistry classes. I finally get to take Inorganic next year, which I feel like I am going to enjoy a lot along with biochemistry.

In researching a planned post about M87's globular clusters, I again have been diverted. Being a rank amateur, I was studying how to use Aladin. Looking at some YouTube videos, I found this odd one, "Planet Like Object Found on ALADIN". The object looks bizarre, like the guy drew it in the...

I have always considered cosmologists to be physicists because I noticed that cosmologists usually apply (Correct me if I'm wrong) general relativity. They seem to take approaches similar to those of physicists. Astronomy is the study of celestial objects, while cosmology is the study of the...

I have lately been trying to understand branch points and branches used for complex, multivalued, functions. From doing questions and reading online, however, I get an unclear view of what branches points are. Take the function: f(z)_a = (z^2+1)^\frac{1}{2} or f(z)_b = log(z-1) Based on...

Homework Statement Hi, I'm stuck with this question: How many branches (solutions) and branch points does the function f(z) = (z2 +1 +i)1=4 have? Give an example of a branch of the multi- valued function f that is continuous in the cut-plane, for some choice of branch cut(s). Now by choosing...

Prof said that it may be more than one branches that includes the following. and I'm having a hard time knowing the difference of branches to sub branches. Please make sure i got the right answer/s. 1. Fusion: Nuclear physics 2. Ticking of the clock: Quantum Physics, Classical Mechanics 3...

What are the rules for choosing main branch ? Wikipedia states - "Identification of the parent hydrocarbon chain. This chain must obey the following rules, in order of precedence: 1 It should have the maximum number of substituents of the suffix functional group. By suffix, it is meant that...

Homework Statement A 600-g squirrel stands on the end of a 2.5-m-long branch that makes an angle of 60 degrees with the vertical trunk of the tree. What torque acts on the branch due to the squirrel? Homework Equations Torque= FxD torque=torque The Attempt at a Solution I'm pretty stumped on...

I notice that the branch cuts for arcsin(z) are from -infinity to -1 and 1 to infinity. How do these choices for the branch cuts make the function single-valued? I am having trouble understanding the reasoning here even though these choices for the cuts are widely used/accepted.

Given the function \(f(z) = z^{1/3}\). Can the branch cuts be defined by the rays from zero through the three roots of unity and to infinity?

Homework Statement Hi, I need to calculate the following integral: \int_{-\infty}^{+\infty}dx \frac{(\pi+\sqrt{x^2+m^2})^2(1+\cos x)}{(x^2-\pi^2)^2\sqrt{x^2+m^2}} The Attempt at a Solution I tried complexifying it: \oint dz...

I am trying to remember how to define a branch point and cut. Given the following functions: \[ f(z) = \sqrt{\frac{z}{1 - z}} \] The branch points are then \(z = 0\) and \(z = 1\) and the branch cut is the line from \((0, 1)\), correct? \[ f(z) = (z^2 - 4)^{1/3} \] Here the branch points are...

Hello, I learned that there are 4 types of approach to topology: (1) General (2) Algebraic (3) Differential (4) Geometrical To have a rough understanding of General relativity, which branch of topology should I study? Thanks.

I just completed a brief introduction to branch points in complex analysis, and I find it difficult to imagine/come up with functions with nonzero branch points. My difficulty is this: for the point to be considered a branch point, f(r,θ) and f(r,θ+2π) must be different for ANY closed path...

Guys can you tell me your favorite physics branches (even theories) i want to start reading one

I will be applying for schools soon in physics, although my bachelors is in chemistry. Although I have decided that I would rather pursue physics than chemistry in graduate school, at the moment, I do not have my heart set on any specific sub-discipline of physics. So, assuming I have absolutely...

Hello, I want to study a system, and I have realized that all variables in it are dependent. There is no independent variable. So everytime you modify the input, you get an output but at the same time that output modifies the input itself, there is an important feedback. So the system...

What is the Branch cut for the log(z) ? Correct me if I am wrong. I know that the function $f(z) = e^z$ , is periodic function with period $2 \pi $ so to define the function $\log(z) $ we have to restrict the domain of $e^z$ for example taking the points $D : z \in \mathbb{C} $ such that...

Just covered branch cuts in my undergraduate course but stuck on one of the questions... Find the domain on which f(z) = arccot(z) is single valued and analytic. Now, we've looked at ln(z) in class and I understand the principal of limiting the domain but I'm not having much success and...

I am trying to solve for isc. The correct answer is isc = 6mA but I got 0 mA. My equations must be correct... If they are not please someone explain why. Thank you.

Hi! At the moment I am in high school and have been considering to become a physicist. I just have a couple questions though: Which branch of physics is more rewarding? and what classes should i take to prepare myself? In regards to the first question, I am asking about which branch would...

Suppose you have the integral: \int^b_{-a}\frac{dx}{x+i\epsilon} where epsilon is a tiny positive number. The integral should be a log shouldn't it? =log[b+i\epsilon]-log[-a+i\epsilon]=log[b]-(log[a]+...) where the ... is 'i' times the angle of the point -a+iε. Doesn't this depend on...

Hello everyone, The next year i am going to join a UG course in India. And i am going to take physics. From my childhood i loved astronomy. I used to attend every lecture held on astronomy in our area. My dream is to become a researcher in physics. I don't want to become a professor in physics...

Homework Statement Given that g(z) = ln(1-z^2), defined on \mathbb{C}\backslash \left(-\infty, 1\right], i.e. the branch cut is from -\infty to 1 along the real axis. Find g(-i) given g(i) = ln(2). Homework Equations The Attempt at a Solution I tried drawing it out but I'm having...

Homework Statement Homework Equations The Attempt at a Solution Using KCL at the top node of the branch whose voltage I'm supposed to find, I get this equation 5 - 1- i2 + 6 = 0 i2 is the current in third branch from left, whose direction has been chosen arbitrarily by me. Solving this gives...

Homework Statement It is simply the same as the one for lnz i.e. does it go from 0 to ∞? Also, is there any proper way to figure out branch points of a function? Homework Equations The Attempt at a Solution

I've finally given my college entrance test (The IIT-JEE). And I am expecting a decent rank to join in one of the premier institutes of India. I want to pursue my interests in Nanotechnology, because I think it has a great scope for future research and I want to do the same. But I don't know...

Hey! So we have these equations that describe flow through and pressure in a pipe. ∂p/∂t = -β/A * ∂q/∂x ∂q/∂t = -A/ρ * ∂p/∂x - F/ρ + g*Acos(α(x)) where A = cross area, β = bulk constant for water, p = pressure, q = flow, ρ = density, g = gravity constant, F = forces due to friction, α =...

Homework Statement An impedance of 7-2jΩ and an impedance of 4+2jΩ and a current source of 97.5A are all connected in parallel. Find the individual branch currents. Homework Equations Current-divider rule: I1=I*Z1/(Z1+Z2) (only have to consider the magnitudes of the impedances, not the angle)...

Hello guys So I'm trying to model flow through a branched pipe. The equations I've used are the standard partial differential equations for a hydraulic transmission line: ∂p/∂t = -β/A * ∂q/∂x ∂q/∂t = -A/ρ * ∂p/∂x - F/ρ + g*Acos(α(x)) I've discretized and linearized these so that I can...

I was reading a paper the other day that made the following claim, and provided no reference for the assertion. I would like to find a reference or figure out how to derive the asymptotic behavior myself. The situation is as follows: Suppose we have a function ##f(z)##, defined as a power...

How does one deal with finding the branches & branch cuts of a multi-valued function of a complex variable that is itself the sum of two multi-valued functions, something like the following: f(z) = \sqrt{z} + \sqrt{1 - z} f(z) = \sqrt{z} + \sqrt{z - 1} f(z) = \sqrt{z} + \sqrt{z(z -...

First of all i am an eleventh class student who has just passed his tenth standard . I don't know much about engineering branches . I always admire the work of stephen hawkins and michio kaku . Please tell me the way to get my dream career as a theoretical physicist.

which engineering branch to take?? I am thinking about which engineering branch to take up . I love physics and mathematics . I have shortlisted 4 engineering majors that i liked after looking up its courses on ocw.mit.edu electronics engineering aerospace engineering computer science nuclear...

Homework Statement Assign J values for P and R branches of H35cl, H37cl, d35cl, and d37cl compounds. Homework Equations The Attempt at a Solution I have a fundamental IR spectra I did on and HCL/DCL compound. I'm extremely confused how to assign J values. I've been looking online...

Hey guys just wondering, what you think is the hardest branch of physics, because so far I've done Newtonian mechanics and it was killer >.<. So I'm just wondering if the other physics are just as hard or a bit easier ( I hope). Thanks.