Properties Definition and 1000 Threads

Hi Two vectors A and B are equal if they have the same magnitude and the same direction . this property allows us to translate a vector parallel to itself in a diagram without affecting the vector . In fact , for most purposes, any vector can be moved parallel to itself without being...

I read that measurement of one property affects the outcome of the other entangled item. My question, why must the measurement of one system "affect" the other? More specifically, why can't their properties through time and space be determined by some initial action. For example, let's say we...

My question is about which properties a particle can be said to possess. I understand that in accordance with Heisenberg's Uncertainty Principle, one can never know precisely a particle's location and its momentum at a single moment in time. I'm wondering whether it can be said that: A...

Homework Statement Let G be a group and let A \leq G be a subgroup. If g \in G, then A^g \subseteq G is defined as A^g = \{ a^g | a \in A \} where a^g = g^{-1}ag \in G Show that Ag is a subgroup of G. The Attempt at a Solution I will use the one step subgroup test. First I have...

what are the bset combustion properties (Pressure, Temperature) of air for jet engine?

Homework Statement Let n \geq 1 be a positive integer and let M_n = \{ 1,...,n \} be a set with n elements. Denote by \mathcal{P} (M_n) the set of all subsets of Mn. For example \mathcal{P} (M_2) = \{ \{ \emptyset \}, \{ 1 \}, \{ 2 \}, \{ 1,2 \} \}. Show that C=(\mathcal{P} (M_n) , \cap)...

Hello everyone, I want to know the presently existing works on the topic of ground state properties of Hubbard model (spin-1/2-, or extended- ). I am nonexpert and have not googled for useful information. Please tell me some articles or monographs on this if you know. Thanks!

I am an electrical engineer and not familiar with this. I need to look up the permittivity and conductivity, density and acoustic speed of some common fluids: sea water, de-ionized water, castor oil, alchohol, ... Where would I find some reference containing these numbers? Thank you.

I have a couple of questions about this. I know what it is, but need information on specific values. I've been trying to find a table listing as many compounds as possible by their latent heat capacity. I'm also interested in their approximately melting point and would prefer them both in the...

Here are some general questions regarding my current reading. I am looking in my text at 2 equations for specific energy and specific enthalpy: u = u(T,v)\qquad(1) h = h(T,p)\qquad(2) Question 1: Are not the properties fixed by any 2 independent priorities? Why have we chosen to...

I am reading through a thesis paper and it says that for a combustion process in which we have separated the chamber into 2 zones: burned and unburned ideal gas mixtures, if we know the pressure and equivalence ratio (ER) for the unburned ideal gas mixture, we can find all of its thermodynamic...

Hey, I'm trying to find equations which describe properties of water under high pressure as a function of temperature. The equations are in polynomial form. i am trying to find a better approximation for the material properties of water(density,thermal conductivity, etc...), as the programs...

Why does the distance from a light source to the two slits make a difference in the interference pattern? Thanks, Jake

I know there is a connection with the thermal conductive properties of a material and the electrical conductive properties, so I'm curious as to the electrical conductivity of superfluid helium (below the lambda point).

I need to set up the printer so it will print on both sides but when I go into System/Administration/Printing and click on the Printer tab and click properties, nothing happens. Am I supposed to re-configure it using the terminal? What should I do? I am running Fedora 11 (I'm not the one who...

Is the only way to find a material's or compound's behavior at the nano scale through experiment or can we deduce its characteristics through some other way or theories?

-1/1=1/-1 sqrt(-1/1)=sqrt(1/-1) i/1=1/i i*(i/1)=i*1/i i^2/1=i/i -1/1=1 -1=1 <-- Well my conclusion is that properties don't work with imaginary numbers or did i do something wrong?

\mbox {Suppose I have: } \sum_{n=1}^\infty (\frac {x} {3})^{2n} \mbox{Can I define } y= \frac {x} {3} a_k(y) = \left\{ \begin{array}{c l} (y)^k, & \mbox{if } k= 2n\\ \\ (0)^k, & \mbox{otherwise} \end{array} \right. \mbox {And then use all the cool properties of power series on }...

Homework Statement What property of limits says that lim 2^(1/n) = 2^lim (1/n) = 2^0 = 1? Thanks. Homework Equations The Attempt at a Solution

Hello everyone, I've had a hard time finding places where to look up the different mechanical properties of polymers. I am mainly interested in density, young's, bulk, and shear moduli. I would appreciate if anybody can point me out to some good resources. Thank you

This is another question that is impossible for me to complete.i don't even know whereto start. PLLLease help me. Draw a sketch of a function with the following properties: a) The gradient is negative where -2 < x < 2 b) The gradient is positive where x < -2 and where x > 2 c) The...

Homework Statement This is a general concept question. The problem is, I don't seem to understand what the question is saying and why. Here's the question: A mechanical wave can propagate through a medium if a) there are attraction/ repulsion between...

I been looking at various places for measured orbital mechanics properties of the solar system and found very little coorelation. It made me think that somewhere there exists an official internationally recognized database for measured properties of the solar system with an accuracy that match...

What sort of substances does berrylium form a covalent bond and with which substances is it ionic. i know that berrylium usually does form covalnt bonds, but sometimes i find it being referred to as an Be2+ ion. Also many berrylium compounds are good conductors of electricity such as...

As a complete amature, I have a question about gravity and spacetime. Gravity is seen as a distortion of spacetime and we have the traditional view of a mass resting on a rubber sheet, distorting the space around it. But most masses are moving in space - usually fast or very fast. Is there a...

Hello all, May someone give me an example of sigma-algebra which is not countably generated? Apparently such example can only be found in a non-separable space? Taking \mathbb R as example, 1) Sigma-algebra generated by any subsets of a separable space is countably generated? 2) That in...

Homework Statement Suppose F -- K is a Galois extension and f(x) in F[x] is an irreducible polynomial that has a root in K. Show that f(x) factors into a product of linear factors in K[x]. Homework Equations I read on Wolfram this fact is equivalent to being a Galois extension, but I am...

Homework Statement An electron has a total energy of exactly 5000MeV just before a collision. I need to calculate: 1. The mass energy in MeV 2. The Lorentz factor \gamma 3. The speed as a fraction of c 4. The momentum in MeV/c^{2} Homework Equations Within the problem...

Hi, sometimes when I'm trying to work out the Fourier Transform of a signal, I get different answers depending on whether I use Fourier Transform properites (such as rect(t) will go to sinc(f) etc) or whether I use the FT integral. Here's an example where I'm not sure which 1 is the correct...

Example: take curved 2D space with positive constant curvature everywhere. You say, sphere with radius R? no, there are 2 different solutions in topology: sphere and half-sphere. Half sphere (1/2 of sphere where points across the 'equator' are connected to the opposite sides) can’t be 'embedded'...

Id like to know some basic representations of factorials n!, (n+1)!,(n-1)! ext..

Let R be an ordered Ring. Assume R+ is well-ordered Prove: a) min(R+) = 1. b) R is an integer ring

Homework Statement 1. Write down an approximate expression for the mass of a nucleus in terms of mass number A and nucleon mass m_{n} 2. Assuming that the nucleus is spherical, find an expression for the volume of this nucleus in terms of A and r_{0} 3. Find a numerical value for the...

Hi everybody, I'm focusing on meta-materials. I have recently read Schurig's paper "http://www.opticsinfobase.org/oe/abstract.cfm?URI=OPEX-14-21-9794"). In the article, the components of the permittivity tensor are given by \varepsilon^{i'j'} = \left|\rm{det}(\Lambda^{i'}_{i})\right|^{-1}...

Hello, let's suppose we are given a Gaussian function f(x)=Ae^{-ax^2} (where a,A are real scalars and a is positive) Is it possible to (dis)prove that the following identity is true only for Gaussians? \frac{\partial^2}{\partial x^2} log f(x) = const Thanks!

Two very large parallel conducting plates of very large length l, and width w are separated by a distance d. A current I=Jw flows to the right in the lower plate and to the left in the upper plate. Each of the two currents produces a magnetic field \frac{B}{2} between the two plates. (a)...

This is a theorem about Jacobi symbols in my textbook: Let n and m be ODD and positive. Then (a/nm)=(a/n)(a/m) and (ab/n)=(a/n)(b/n) Moreover, (i) If gcd(a,n)=1, then (a^2/n) = 1 = (a/n^2) (ii) If gcd(ab,nm)=1, then (ab^2/nm^2)=(a/n) ===================================== (i) is easy and...

I am very new to using the HYSYS process modelling software and would appreciate if somebody could possibly answer a simple question. For an assignment i was working on, i needed to reference the critical temperature and pressure for a hydrocarbon mix. For the particular stream, i used the...

Homework Statement In a mock exam I was asked for Q. Two properties associated with a single crystal. Homework Equations The Attempt at a Solution For one answer I gave that they are hard. I think another answer might have been something to do with crystal...

Hello, I have recently been tasked with finding the permeability of iron at a frequency of 10 kHz. I have never done research before, this is my first time, I been looking all over the internet (IEEE, elsevier, ScienceDirect, etc...) for anything that might give me information on the subject...

:smile:Hi I have been wrestling with this situation for a while, trying to derive an equation for it...A sphere is placed in a fluid of viscosity n and density p, outside any gravity. The sphere is instantly beamed out (perhaps by Capt Kirk?). At what volume rate will the fluid rush into the...

Homework Statement [PLAIN]http://img528.imageshack.us/img528/7061/37557155.jpg Homework Equations The Attempt at a Solution i don't understand, what can possibly wrong with this :S I checked it so many times over and over but everything seems to be right.. i don't even have this feeling about...

Orthogonal Properties for Sine Don't Hold if Pi is involded?? Normally I know \int_{-L}^L \sin \frac{n x}{L} \sin \frac{\m x}{L} ~ dx = 0\mbox{ if }n\not =m , \ =L \mbox{ if }n=m but apparently this doesn't work for \int_{-L}^L \sin \frac{\pi n x}{L} \sin \frac{\pi m x}{L} ~ dx I am...

Homework Statement Let H and K be groups and let G = H x K. Recall that both H and K appear as subgroups of G in a natural way. Show that these subgroups H (actually H x {e}) and K (actually {e} x K) have the following properties: a: every element of G is of the form hk for some h in H and k...

Homework Statement If z = cosθ + isinθ, show that zn + z-n = 2cosnθ. Hence solve the equation 3z4 - z3 + 4z2 - z + 3 = 0 for complex z. (Hint: Reduce the given equation to an equation with the unknown cosθ) Homework Equations z = cosθ + isinθ zn + z-n = 2cos(nθ) 3z4 - z3 + 4z2 - z + 3...

Hey, I've come across a part of my notes which states: I understand that if \ell = 0, then what's left is detA = \ell^{1}\ell^{2}...\ell^{p}. Or at least, I assume that's what my lecturer is getting at. What I don't understand is why the \ell in the characteristic equation (A-\ellE) is...

Frequency can be fourier-transformed into time and vice versa. They're inversely related. In QM, momentum can be fourier-transformed into position and vice versa. But they're not necessarily inversely related. The uncertainty in time and the uncertainty in position merely have a lower bound...

Homework Statement Draw an argand diagram to represent the follwing property: real(z) < abs(z) < real(z)+img(z) Homework Equations z = x+iy; real(z) = x abs(z) = sqrt(x^2 + y^2) img(z) = y The Attempt at a Solution substituting original expression with x, y, and sqrt(x^2 + y^2)...

I have a cold work Nitinol wire, my supervisor ask me to do heat treatment at 700 degree celcius after that quench in ice water.He tell me that after heat treatment, the wire will acquire the shape memory properties, but i have repeat for few sample the wire could not function. when i put the...

I'm taking a graduate course on computational physics which has a project. I'm doing research on electronic properties of graphene, like quantum hall effect measurements. So, I want to do the project related to my research. The project shouldn't be too difficult, as I haven't done simulations...