Domain Definition and 743 Threads

Homework Statement The problem is: for all 0≤a≤1 so i need to find the domain Homework Equations N/A The Attempt at a Solution I tried it like this: yet my solution is wrong,i am not so sure why. wolfram gives me this;

Homework Statement f(x) = (arctan(ln(sqrtx - 1)))^3 Homework Equations domain of arctan: all real numbers range of arctan: -∏/2, ∏/2 The Attempt at a Solution I know that domain is x>0 when x ≠ 1, because I need a positive number to go under the radical and the natural log of 0 is...

(note: I posted this here instead of the Biology forum because the topic involves heavy quantum concepts that mere biologists can't handle) I read PF Mentor Ryan_m_b mentioned elsewhere that "Discussing quantum effects in biology is not a banned topic on this forum, however threads that...

The problem ask me to find the tension on a capacitor after a switch has been opened. I have everything in terms of equations in s-domain and I'm sure they aren't wrong because I checked on the book. My unique problem is to understand a certain passage necessary to find the voltage knowing...

Homework Statement Let S be the open unit disk of radius 2 centered at the origin. T is a subset of the real axis. The set R is obtained by removing T from S. Is R a domain when: 1. T is the line segment {z\in ℂ | Re(z) ≤ 1 and Im(z) = 0} 2. T is the line segment {z\in ℂ | Re(z) < 2 and...

Hi. Under what conditions does the following equality hold? f(x)=\lim\limits_{\Omega\rightarrow\{x\}} \frac{1}{\mu(\Omega)}\int_\Omega f d\mu where \mu is some measure. Being a little more careful, let \Omega_i be a sequence of sets such that \Omega_{i+1}\subseteq\Omega_i and...

Homework Statement The function f:x→ 4-x2 for the domain x≤0. Find the inverse of is denoted by f-1 and state the domain and range of f-1. Homework Equations Set equation to 0 and solve for x to find inverse. The D and R is going to be switched for the inverse..? The Attempt at a...

May I ask if it's appropriate to ask in this sub-forum, are there any general methods for computing the domain of convergence for Puiseux series representations of algebraic varieties? I'm unable to find anything on the matter. For example, suppose I'm given the ideal in \mathbb{C}[z,w]...

Homework Statement The function f has domain (-∞, ∞) and is defined by f(x) = 3e2x. The function g has domain (0, ∞) and is defined by g(x) = ln 4x. (a) Write down the domain and range of f∘g. (b) Solve the equation (f∘g)(x) = 12 2. The attempt at a solution (a) Is it correct...

Hi guys, I'm really confused in finding the domain of quadratic equations. For example: when finding a suitable domain so that an inverse exists, why is the domain of x2-4 x>0 whilst, the domain of 2x2+3 is x≥0 Can the domain of x2-4 be x≥0? Furthermore, what is the largest domain and how do...

hi all, i am getting the above problem while executing my fortran program. please help me how to fix it. thank MNM

if i am being asked to write the domain of integration in a triple integral problem in a cartesian form , may i used polar coordinates to express instead of x and y? thank you

This is a problem from the Boyce and Diprima Elementary DE book. I solved this equation and got the correct solution. However, the author notes that the solution is defined on the interval (-2,3) only. I have found it to be defined (-inf,-2)u(-2,3)u(3,inf), or EVERYWHERE BUT x=-2, x=3. Is...

What are the domain and range of the following: (Note: It is a relation that is not a function.) y^2(x^2 - 1) = x^4

in interval notation? y^2(x^2 - 1) = x^4 (This is my own problem.)

Homework Statement Use set or interval notation to give the domain of the function: g(t)=(x-5)/sinx Homework Equations The Attempt at a Solution So looking at this, I recognize that x cannot be 0,180,360, etc... it's just putting this into set or interval notation that...

The photo below is a picture of a problem in my complex analysis textbook but a topology question occurred while I was reading it. (Just to avoid any confusion, I have not taken a topology class yet.) The problem is asking to compute the integral (at the top of the picture) around the closed...

Hello all, I want to filter DC offset for a signal by applying a high-pass filter to it (I've been told that to filter the DC offset this is what I should do - I'm not sure why exactly!) My question is; do I do that in the time-domain or frequency-domain after applying FFT? And I would...

Hey guys, So I'm trying to intuitively understand the conclusion that a contraction in one domain leads to an expansion in the other domain (and vice-versa). Mathematically, I can see how this would happen, e.g., a bandpass filter with -pi/2 < w < pi/2 would result in a narrower time domain...

Hi guys! I'm to find the solution to \frac{\partial u}{\partial t} = \frac{\partial^2 u}{\partial x^2} Subject to an initial condition u(x,0) = u_0(x) = a \exp(- \frac{x^2}{2c^2}) And Neumann boundary conditions \frac{\partial u}{\partial x} (-1,t) = \frac{\partial...

Homework Statement Let W be the region between the paraboloids z = x^2 + y^2 and z = 8 - x^2 - y^2 Homework Equations The Attempt at a Solution for each domain, 0 ≤ z ≤ 8 0 ≤ r ≤ 2 0 ≤ θ ≤ 2\pi So... \int^{2\pi}_{0}\int^{2}_{0}(8-2r^{2})r drdθ

1. The problem statement, all variables and given known data f(x,y,z,) = e^{2x-z} W: x + y + z ≤ 1 x, y, z ≥ 0 Homework Equations The Attempt at a Solution For each domain, could you check it please? This is the only triple integral that's haunting me 0 ≤ x ≤ 1-y-z 0 ≤ y ≤...

Homework Statement f(x,y,z) = 1 x^{2} + y^{2} + z^{2} ≤ 4z z ≥ \sqrt{x^2 + y^2} Homework Equations The Attempt at a Solution How can I know ρ if there is z variable? Do I just square root both 4 and z? For θ, since it is sphere it would be 0 ≤ θ ≤ 2\pi right? for \phi, is...

Homework Statement f(x,y) = (x^{2} + y^{2})^-2 x^{2} + y^{2} ≤ 2 x ≥ 1 Homework Equations The Attempt at a Solution -4\pi ≤ θ ≤ 4\pi secθ ≤ r ≤\sqrt{2} are these the correct domain?

Homework Statement f(x,y) = e^{x^2+y^2} x^{2} + y^{2} ≤ R Homework Equations The Attempt at a Solution I believe this is a circle. f^{2pi}_{0}^{sqrt(R)}_{-sqrt(R)}e^{x^2+y^2}*r*dr*dθ = f^{2pi}_{0}f^{sqrt(R)}_{-sqrt(R)}e^{r^2}*r*dr*dθ after u substitution... =...

Homework Statement f(x,y) = y(x^{2} + y^{2})^-1 y ≥ \frac{1}{2}, x^{2} + y^{2} ≤ 1Homework Equations The Attempt at a Solution Would you check my domain please? f^{pi}_{0}f^{sqrt(3)/2}_{-sqrt(3)/2} sinθ drdθ

I am studying Control Theory from Ogata. My math is a little rusty, so this is a math question about Frequency Domain Analysis. Check this page - http://www.flickr.com/photos/66943862@N06/6337116280/sizes/l/in/photostream/ I get everything upto Equation 8-4 However I don't get the line after...

Homework Statement Question as in image: Homework Equations The Attempt at a Solution When I did Mesh, I got this: -20j-20Ia+(Ia-Ib)2j=0 (Ib-Ia)2j-(Ib-5)j-(Ib-Ic)50=0 -(Ic-Ib)50-(Ic-5)8j-2(Ia-Ib)=0 2(Ia-Ib)-100Id=0 Ia-Ib=Ix **This is done from Left to Right**...

I am taking a first course in algebra and I am having issues with a detail in this proof that every finite domain is a division ring. The argument that I used is that (because of cancellation in domains) left & right multiplication by a nonzero element r in a domain R gives a bijection from R...

Homework Statement f(x)=sin(2x+5) Homework Equations I am supposed to find the derivative, and the domain of it. The problem is that I cannot deal with the simplification of it. The Attempt at a Solution As far as I know, I am suppsosed to use f(x+h)-f(x)/h =...

Hi, I stumbled upon the following two functions which have the same freq domain representation, 1/(j.pi.f) 1.signum(t) = u(t) - u(-t) 2. 2u(t) what is the reasoning behind them having the same f domain representation?

In an example in my algebra text, (from the section on unique factorization domains) it is describing the ring \mathbb{Z}[\sqrt{-5}], and demonstrating that it is not a UFD. It starts by giving the norm N(a+\sqrt{-5}b)=a^2+5b^2. It remarks that if zw=1, then N(z)N(w)=1, and then it goes on...

The first hypothesis is that f is continuous on [a,b]... Is there a more concise mathematical way of saying... "because the function f is a polynomial it is continuous in its domain."? Because I rather not write that on my test it looks sloppy and non professional...

Hi everybody, i am having difficulties to write a program using only MATLAB to solve the Mrtd SCHEME...that is solving the maxwell equations...can anyone please help me

Hi just a quick question Differentiate f and find the domain of f. (Enter the domain in interval notation.) f(x)=(1/(3+lnx)) Here is my Derive: ((-3+lnx)^-2)(1/x) which is correct And for the domain (web assign wants interval notation) When I was doing this part, I wasn't sure if it...

"Positive Set" in an Ordered Integral Domain I'm currently reading Durbin's Modern Algebra, and I have a question about the positive set in ordered integral domains. Durbin characterizes an ordere integral domain as one with a subset which is closed to addition and multiplication, and...

Homework Statement We have to find the domain range (hope I'm using this right) of some functions, one of them being h(x)=f(x)^g(x), say h(x)=(x^2-4)^(x). I've been looking around and couldn't find the domain range of the x^x function, so I am kinda stuck on this one. Homework Equations...

Homework Statement I am simply simulation using a small circuit consisting of a square wave generator, a resistor and a GND. The Voltage varies from 0 to 0.5V and the frequency is 100kHz for the sig-gen. I can simulate and output the transient response, a square wave with the above...

Homework Statement I don't remember the exact question right now, but it was something like this: f(x) = sqrt(4 - x^2) I needed to give the domain / range of it, and also symmetry I believe. Homework Equations The Attempt at a Solution I know this is a half circle after...

Homework Statement I started out with f(x)=sinx and g(x)=1-√x. I found f(g(x)) which is sin(1-√x) and now my problem is how to find the domain. I've really been struggling with the domain part and just need this one done step by step so i have an idea of how to actually do it. Homework...

Homework Statement 1. Rewrite as piecewise: g(x) = 2x - |3x-2| 2. Give domain and equation represented by f(g(x)) when g(x) = √(x+1) and f(x) = 3/x 3. Give range of P(x) = {2x-1, x >/= 1 {x^2 + 1, -1 </= x < 1 {√|x|, x<-1 thanks in advance Homework Equations The Attempt at...

Homework Statement Discrete-time transforms What does it mean when it says this : These transforms have a continuous frequency domain: Discrete-time Fourier transform Z-transform What is the meaning of continuous frequency domain..?

Apparently, when convolving, for example: [δ(ω-π) - δ(ω+π)] * (δ(ω+50π)-δ(ω-50π)) the result is δ(ω+49π)-δ(ω-51π)-δ(ω+51π)+δ(ω-49π) where δ() is the Dirac delta function, * the convolution operator and ω the frequency variable How do we get to this? Can you help me on the intuition in...

Hi... I have several Power Spectrua that I want to average into a single representative power spectrum. Then, I have to analize the amplitude spectrum of the average (i.e. sqrt(power spectrum)) Doing that doesn't give the same result as averaging the amplitude spectrums. Supose I have tho...

Hi, I am new to signal theory and don't know what is time domaine signal and frequency domaine signal. Please some can explaine me clearly and how can we convert between those two domaines. I read the topic in wikipedia which makes me somepart clear but interested to know...

So I'm having trouble understanding how these two are related, i.e., how one proves the other. I understand the ideas behind both of them: For J-B, you're basically taking R^n and throwing in a sphere, so the inside of the sphere is bounded and everything outside the sphere is unbounded. For...

What is the "domain of a die"? - Haim Permuter: Mathematical methods in communication: http://www.ee.bgu.ac.il/~it09/lec1/lec1.pdf (PDF notes). What is the domain of X, and what is its rule? Is the domain the set of ideas {the concept of the die landing on 1,...,the concept of the die...

In an integral domain, I found that the number of maximal ideals in a Notherian ring containing a particular element is finite. If the condition is dropped that the ring be Notherian, can anything like this be said?

I found the unity to be 1. I'm not sure how to determine 3) for each. http://i111.photobucket.com/albums/n149/camarolt4z28/IMG_20110805_224110.jpg?t=1312602377 http://i111.photobucket.com/albums/n149/camarolt4z28/IMG_20110805_224012.jpg?t=1312602392

Hey @ all, when windowing in DSP in time domain one multiplies all recorded time samples with a weighting factor (hanning, hamming, etc.), followed by a Fourier transform (FFT) to reduce sidelobes in the spectral domain. But now when thinking about starting up in frequency domain where I...