Properties Definition and 1000 Threads

In the usual derivation of time dilation in special relativity, we have two frames of reference, A and B, moving relative to each other with velocity v. In A's frame, a light beam is directed vertically upward toward a mirror and reflected vertically back down. In B's frame, the light follows a...

Hi Everyone. I want to know what do you think about this Transfer function: T(\omega) = \frac{e^{i\omega\tau}}{1-\rho e^{i2\omega\tau}} If\tau is Real, this function is "good and pretty"(?), because it has a "nice" representation in time with its inverse transform: a delay plus a series of...

Two particles cannot be entangled in respect to position and momentum, I've read. But can particles be entangled by all other properties, including either position or momentum? For example by energy, momentum, spin and polarization (+some other(s)?) between two photons. I've read in some other...

Homework Statement 1. wave properties of light in a prism experiment? 2. wave properties of diffraction in a prism experiment? 3.name one apparatus that uses diffraction Homework Equations The Attempt at a Solution 1. The wave properties of light are dispersion and recombination 2. The wave...

Is there a mapping of macroscopic properties of a substance and its atomic properties? We know that colour is associated with the electron shells. What about other properties of matter like mercury liquid at room temp vs gold its neighbour on the chart a solid? Is there a mapping like...

$$\log_{b}\left({a}\right) =c ,0<a<1<b$$ What can you conclude about c? explain.

Hi, I am making a faraday cage to be used in reactive ion etching of silicon. I was wondering if the size of the cage, or the surface area has any impact on it's effectiveness or how it works? I know the size of the mesh and the material I use, as well as whether or not it is grounded all...

I'm looking at the simplest example of an interacting theory, and this is the theory of a neutral scalar boson $\phi$ with $\lambda \phi^4$ interaction term. Can I ask: is there a physical interpretation of the `charge' through which this field interacts with itself? In particular, is \lambda...

Trying to an invent a fictional element/metal. I need something that could enable FTL travel and anti-gravity cars. And also biological immortality. I'm thinking something similar to this: http://masseffect.wikia.com/wiki/Element_Zero I need some help coming up with techno-science-magical...

Does anyone have a source for 303 stainless steel mechanical properties (YS, UTS, modulus, poisson's) with variation to temperature, especially around 800C? I've been searching a lot of sites... Or would it be fine to assume 303 has "good resistance to scaling at up to 871C" from...

The problem states, Show that: a) |e^(i*theta)| = 1. Now, the definition of e^(i*theta) makes this |cos(theta)+isin(theta)| If we choose any theta then this should be equal to 1. What can help me prove this? If I choose, say, pi/6 then it simplifies to |(sqrt(3))/2+i/2)| which doesn't seem to...

Use properties to show that: (question is in the attached picture) Now, it is my understanding that due to properties you can express (sqrt(5)-i) as the sqrt((sqrt(5))^2+(-1)^2) which equals sqrt(6). And (2zbar+5) can be represented as (2z+5). But this would be sqrt(6)*(2z+5) which is NOT...

Hi I want to ask which of the cast steels or forged steels provide with better shock absorption? The component has to be used in the under chassis of heavy trucks in bumpy roads. Can anyone help me with that? Thank You

Hello I was reading Spivak's calculus. It starts with discussing the familiar axioms of the real numbers. He calls them properties. At some another forum, I came across the reference to Landau's "Foundation of Analysis" as a background for analysis. So I referred to that book. On the very first...

Okay so I'm under the understanding that the way gravitation works is that each object warps the space around itself, and essentially objects caught in the warping are "falling" towards the object with the bigger warp in the center. So my question is, how do objects that are complete clones of...

Hello All :) I've heard it proposed that a reason for the fine tuned nature of our universe in a way to allow the existence of complexity and life could be that the universe itself is the product of evolution in a multi-verse. I don't want to debate around the anthropological principle as I am...

Hello, could you please give me an insight on how to get through this proof involving operators? Proof: Given an eigenvalue-eigenvector equation, suppose that the vectorstate depends on an external parameter, e.g. time, and that over it acts an operator that is the fourth derivative w.r.t...

hello! what are the physicochemical properties of the metals that facilitate the catalytic conversion in cars? what are their properties that make them act the way they do? ie. facilitate the reactions? I mean in electron/proton etc basics, atomic level thanks

http://arxiv.org/abs/1409.0868 Holomorphy without Supersymmetry in the Standard Model Effective Field Theory Rodrigo Alonso, Elizabeth E. Jenkins, Aneesh V. Manohar (Submitted on 2 Sep 2014 (v1), last revised 6 Nov 2014 (this version, v2)) The anomalous dimensions of dimension-six operators in...

why light shows both particle and wave nature?

I am a part C Mechanical Engineering student and have been undertaking a project investigating the strain sensitivity of a particular glass filled composite. From my quasi-static results, the stress-strain curves seem to be reasonable and match that of the mechanical material properties...

Hello. Is there a way to calculate properties of a gas, given only it's composition? I.e. let's say i want to know what would a planet look like with an atmosphere of a mix of 50% gaseous sulphur and 50% gaseous mercury, at 500*C and surface pressure of half that of Earth. How would i go about...

Hey! :o I want to show the following properties of Ackermann's function: $A(x,y)>y$. $A(x,y+1)>A(x,y)$. If $y_2>y_1$, then $A(x,y_2)>A(x,y_1)$. $A(x+1, y) \geq A(x,y+1)$. $A(x,y)>x$. If $x_2>x_1$, then $A(x_2, y)>A(x_1, y)$. $A(x+2, y)>A(x,2y)$. I have done the...

Please help me with this question. Part a was good but I don't understand parts b or c. Thanks in advanced.

I don't understand how some terms are derived. How did the last term of 3-47 originate? How did 3-49 get so many terms from just one term in 3-41? Why integrate from V to infinite? That is not intuitive. Thas a functions are unusual because the absolute values of U,H,S cannot be computed...

If someone could explain some of the steps needed to work out these 2 questions it would be much appreciated!

I've been thinking about the properties of the Dirac delta function recently, and having been trying to prove them. I'm not a pure mathematician but come from a physics background, so the following aren't rigorous to the extent of a full proof, but are they correct enough? First I aim to...

Hey! :o Find the solution of the problem $$u_t(x, t)-u_{xx}(x, t)=0, 0<x<1, t>0 \tag {*} \\ u(0, t)=0, t>0 \\ u_x(1,t)+u_t(1,t)=0, t>0$$ I have done the following: We are looking for solutions of the form $$u(x, t)=X(x) \cdot T(t)$$ $$u(0, t)=X(0) \cdot T(t)=0 \Rightarrow X(0)=0 \\ X'(1)...

I've been searching the Internet high and low looking for the ELECTRICAL conductivity of R11. There doesn't seem to be much info on the subject and I'm stuck. Does anybody know its conductivity and/or where I could find it out?

Specifically I am interested in a book which talks about lenses, their types, where and how they are used. How do binoculars, telescopes work (how to construct them), what type of lenses to use... Am I asking for too much? Would really appreciate if any of you guys could suggest me of such a...

Homework Statement Find the domain, target space, image, rank and nullity of the linear transformation T(A)=Av, where v= (1, 2) and A is any 2×2matrix. Homework Equations The Attempt at a Solution I believe I know the domain (R2x2 vector space) and target space (R2), but I am not sure how to...

By properties I mean the +I or -I effect as compared to other functional groups along with whether it induces a +R or -R effect?

I'm having some trouble showing that a Mobius transformation $F$ maps $0$ to $\infty$ and $\infty$ to $0$ iff $F(z)=dz^{-1}$ for some $d \in \mathbb{C}.$ Mainly with the "only if" part. Do I need to use pictures? This is Exercise $23$ in Section $3.3$ of Conway's *Functions of One Complex...

Hi all, I've joined this forum as a last resort seeing no one else here knows (well, before maybe joining other forums?). I've been handed an old model of the iron ore plant I work at which was made in the 90s in excel (the model was made then, not the plant!). The metallurgist at the time was...

I am not clear on the below, so any additional information would also be good. Let's say a pair of photons is entangled on 2 properties. When we measure on property A -- the values for property A (for both the entangled photons) becomes determinate/locked/fixed when we measure on property B...

Is there something said about \lim_{||v||\to 0} \frac{v_i}{||v||} ? Is it correct to assume if the length of a vector approaches 0, then any component of that vector has to approach 0, aswell?

I have been studying quantum field theory and I am currently in the Lagrangian field theory chapter in my book. Now it says that the energy momentum tensor is as follows: Tμν= [∂L/∂(∂μφ) * ∂νφ] - δμνL Note: I am using L to symbolize Lagrangian density and not just Lagrangian since the latex...

Hi! I am modelling heat transfer through the oxide scales on the surface of steel but I cannot find the accurate properties of oxide scales. I need thermal conductivity, density and specific heat capacity. They shloud be dependent on temperature. I have found only one book in which are some...

Hi PF, i have several questions about univariate statistics that doesn't seem to be covered in my notes or online, i hope the question is not redundant on the forums, but i ran a search and saw nothing. In univariate statistics, you can have a PMF which is a discrete random variable (RV) and a...

Textbook says, Fourier transform expresses a function in time domain as a function in frequency domain. Basically, Fourier transform gives two different expressions in terms of t domain and f domain but they represent the same signal. It also says Hilbert transform is a different type of...

hello is there a reference, wikipedia article, other article, book, or something that will outline consisely and simply, without the maths (not necessary at this point) the thermal properties of materials what I mean thermal properties? how materials interact with heat for example, how do we...

I noticed a funny thing. The Cholesky decomposition can be defined as X=AB, where A is lower triangular. Generally Y=BA is not X, but Y seems to be a positive definite matrix. I wonder if there is any special properties to the pair (X,Y). I know that a positive definite matrix can be interpreted...

Warning: This is going to be a bit long. (Apparently my post was too long so it wouldn't render at all. I've split this into two threads.) I worked out some basic Algebraic properties of a Lie Algebra. This is similar to my previous thread about SU(2) but as I don't know this example I'm...

If antimatter moves in the direction it was pushed from, is this because it has its own sort of properties such as inertia in regular matter?

Homework Statement The Attempt at a Solution I thought that an ellipse shares vertices on the y-axis and the x-axis. Making it neither vertical major axis. I am unsure about the question.[/B]

I am reading an article by Vernon Chi on quaternions and rotations in 3-space. The title of the article is as follows: I am concerned that I do not follow the proof of one of the properties of unit quaternions in Section 3.1.3 of the article. Section 3.1.3 reads as follows: In the above text...

I'm studying for my prelim and am trying to understand inductance better based on some questions I have done I've come up with these statements can anyone confirm they are true the back emf in an inductive circuit at any given time equal to the voltage across the inductor I initially thought...

Homework Statement I need to figure out the energy, rest mass, speed, wavelength and momentum of a 2.2 eV electron. Thats all it says. Homework Equations Ek = 1/2mv^2The Attempt at a Solution I don't understand what 2.2 eV is. The kinetic energy? This converts to 3.52x10^-19 J Rest mass...

So we know that [Hodge duality](http://en.wikipedia.org/wiki/Hodge_dual) works this way $$⋆(dx^i_1 \wedge ... \wedge dx^i_p)= \frac{1}{(n-p)!} \epsilon^{i_1..i_p}_{i_{p+1}..i_n} dx^{i_{p+1} } \wedge dx^{i_n}$$ where p represents the p in p-form and n is the dimensional number. My question is...

Hiya, I've been mucking around with a 2n7000 MOSFET and I can successfully turn it on and off, but to turn it off I either have to put the gate at 0v and wait a few seconds and it turns off itself or apply negative voltage to the gate and it'll stay off when I return it to 0v. Is this normal for...