Section Definition and 680 Threads

I am reading Nicholson: Introduction to Abstract Algebra Section 6.2 Algebraic Extensions. On page 282 the Corollary to Theorem 5 states the following: (see attachment for Theorem 5 and the Corollary)...

Homework Statement A piece of conically-shaped material is placed in a circuit along the x-axis. The resistivity of this material varies as rho=(6*10^6)*x^4 (where x is measured in meters and rho is measured in ohm*meters), and its radius varies linearly as a function of x, ranging from...

Hello, I am reading section 3.2, concerning the analyzation of a moving rocket with a changing mass. (I couldn't find a preview of the book in google books, so hopefully someone out there has this textbook.) Here is an except from the book, but be warned that I am adding notes in brackets...

Homework Statement Homework Equations The Attempt at a Solution Hello, my problem seems to be that I have two values that are possible for the Force FG, but I also am not considering the internal forces F_DE and F_FE. I'm not sure how to go about finding those if they are important for...

I am reading Dummit and Foote (D&F) Section 13.1 Basic Theory of Field Extensions. I have a question regarding the nature of extension fields. Theorem 4 (D&F Section 13.1, page 513) states the following (see attachment)...

------------------------------------------------------------------------------------------------ 7. Prove that \mathbb{Q} ( \sqrt{2} + \sqrt{3} ) = \mathbb{Q} ( \sqrt{2} , \sqrt{3} ). Conclude that [\mathbb{Q} ( \sqrt{2} + \sqrt{3} ) \ : \ \mathbb{Q} ] = 4 . Find an irreducible...

Can someone help me get started on the following problem. Determine the degree over \mathbb{Q} of \ 2 + \sqrt{3} and of 1 + \sqrt[3]{2} + \sqrt[3]{2} Peter [This has also been posted on MHF]

Dummit and Foote Exercise 2, Section 13.2, page 529 reads as follows: ------------------------------------------------------------------------------------------------------------------ 2. Let g(x) = x^2 + x -1 and let h(x) = x^3 - x + 1 . Obtain fields of 4, 8, 9 and 27 elements by...

Hello, I have a graph of a tensile test of a metal sample, and I wish to find the slope on the graph of only the elastic region of the graph, meaning of the entire graph, there is only one section of it that I am interested in finding the slope for. Is there a way in excel to make it such...

I am reading Dummit and Foote on algebraic extensions. I am having some issues understanding Example 2 on page 526 - see attachment. Example 2 on page 526 reads as follows...

I am trying to clarify my understanding of Proposition 11 of Dummit and Foote Ch13 Field Theory concerning the degree of \alpha over F. Proposition 11 reads as follows...

Hi all, I am after trying to find the plastic section modulus about both local axes (x & y) after having calculated them for the global axes (n & p). Is there a way I can transform global to local using Morh’s circle to evaluate plastic section properties? Attached is the key diagram I am...

I want to use a rectangular cross section to act as a torsion spring that can be adjusted. The idea is that the adjustment would be made via rotating the rectangular cross section about it's center at an angle theta. I've used parallel axis theorem before, but I don't think that is applicable...

(Source: page 20 of this :http://www.ics.uci.edu/~bic/courses/JaverOS/ch2.pdf) The part I put in bold looks like nonsense. Since program1 executes after the Critical Section and after turn gets set to 2, there is nothing stopping p2 from leaving its wait loop and entering its critical...

In Dauns book "Modules and Rings", Exercise 19 in Section 1-5 reads as follows: (see attachment) Let K be any ring with [FONT=MathJax_Main]1[FONT=MathJax_Main]∈[FONT=MathJax_Math]K whose center is a field and $$ 0 \ne x, 0 \ne y \in $$ center K are any elements. Let I, J, and IJ be symbols...

In Dauns book "Modules and Rings", Exercise 18 in Section 1-5 reads as follows: (see attachment) Let K be any ring with [FONT=MathJax_Main]1[FONT=MathJax_Main]∈[FONT=MathJax_Math]K whose center is a field and $$ 0 \ne x, 0 \ne y \in $$ center K are any elements. Let I, J, and IJ be symbols...

Homework Statement Let A and B be matrices of the same size. a.) prove the jth column of ## A + B## is ## a_j + b_j ## Homework Equations Where is i? In their question? The Attempt at a Solution What if you did this. ## A= \begin{pmatrix} a_{1j}\\ a_{2j}\\ a_{3j}...

In Dauns book "Modules and Rings", Exercise 17 in Section 1-5 reads as follows: (see attachment) Let K be any ring with 1 \in K whose center is a field and 0 \ne x, 0 \ne y \in center K any elements. Let I, J, and IJ be symbols not in K. Form the set K[I, J] = K + KI + KJ + KIJ of all K...

I have a question about cross section probability for a positron (e+) to interact with the electron (e-) that would be bound to three different atomic systems (1) hydrogen atom: H(e-), (2) deuterium atom: D(e-), (3) tritium atom: T(e-). My hypothesis is that a positron (e+) would have the...

I have a book on nuclear reactions which details the mean free paths for thermal neutron scattering as: 0.37cm for water and 2.2cm for heavy water The transport cross sections are listed as 0.45cm for water and 2.6cm for heavy water. Does anyone know how to calculate these from the thermal...

e+e- --> gamma f0 --> gamma pi0 pi0 cross section with VMD Homework Statement Find the cross-section of ##e^+e^- \to \gamma f_0(980) \to \gamma \pi^0 \pi^0## using the vector meson dominance model. Homework Equations Some Feynman's rules: The photon propagator is -i...

Hello. When you have a plot of the cross section in function of the centre of mass energy of an e+e- -> hadrons collision, you get a graph with a few peaks which are due to the resonances (ρ, ω, J/ψ...). But I don't understand why at a resonance, the cross section goes up? Or other way...

If a metal rod of 20 cm is charged with 10 μC, then what should be its cross section area so as to prevent electric discharge (electric breakdown) ?

hello. This is my first post. Of course I read rules, but I may make mistakes about posting. If I have a mistake about something, please tell me. Now, this problem15 is in section 5.1 from Bartle. f: (0,1)→R be bounded but such that x→0,lim f does not exist. Show that there are two sequences...

I have a question. From this government reference: http://www.ncnr.nist.gov/resources/n-lengths/ the thermal neutron cross section for stable isotope Be-9 = 0.0076 barns. This means Be-9 is not expected to absorb a thermal neutron, the probability of this is very, very low. The Be-9...

I'm trying to get started on this project but am totally confused about how to find the volume of the solid. All the information I was given was the following: y= √x boundaries: 0,9 cross sections: isosceles right triangle how the hell do I get started?!

I am looking for the derivation to an approximation formula for the differential cross section for hard sphere scattering in the limit of high energy. The paper that mentioned this had referred to Methods of Theoretical Physics, PM Morse and H. Feshbach page 1484 but I have no access to the...

Homework Statement Please visit my flickr link for a scanned image of the problem statement. http://www.flickr.com/photos/93763273@N05/8815418518/lightbox/ Homework Equations M/I = σ/y = E/R This is the flexure or bending formula. The Attempt at a Solution a) = 8.333 kN...

Hello, I am having troubles ridding my research paper of this thorn in my side: It is a rather random line of dots. I have tried everything in my power to remove it, but to no avail. I am, for some odd reason, unable to highlight it. Furthermore, temporarily deleting the surrounding...

1)When we are asked to calculate the shear stress at AB should we consider the width as T or as 2T? 2)And when applying t=vq/it what sections should we take and is the value we found located on the bottom of the area?(I'm not talking about this beam but any beam in general) 3)And finally given...

Hey everyone, So I've been killing myself trying to find a good reference that talks about the wavelength dependence of dust grains when the size of the grain is about the size of the incoming light, or s~lambda. I have numerous references for when s<<lambda (absorption dominates with a...

Here is the question: Here is a link to the question: Diagonalization to identify conic section? - Yahoo! Answers I have posted a link there to this topic so the OP can find my response.

I am doing a research on activation radionuclides resulting from thermal neutron(2200 m*s-1 or 0.0253eV) capture. The activation cross section of some nuclides(H-3,C-14,54Mn,58Co), still can't be found even many efforts were taken. The related reactions...

Homework Statement Find the equation for the conic ellipse with vertices (-2,-5) (-2, 4) and foci (-2,-4) (-2,3) Homework Equations I want to make sure I am solving the problem correctly The Attempt at a Solution (x+2)^2/8 + (y+0.5)^2/20.25 =1

Homework Statement Consider the spherical well such that V(r<a) = -V0 and V(r≥a) = 0. Calculate the l = 0 partial wave scattering cross section in the low energy limit for this potential. Homework Equations σ = \frac{4 \pi}{k^2} * \Sigma (2l+1)*sin^2(\delta_l) The Attempt at a...

Octagonal Cross Section with Parabolically Increasing "Span" Hi all, could some one tell me what I am doing wrong in my analysis in the attached file? Its a parabolical flare column with an octagonal cross section. The effect of the parabolic flare simply stretches the octagon so that the...

Homework Statement Two curves/functions make up one side of a tunnel (the tunnel is symmetrical, so the other side is the same) Function 1: y = 5 + (2/((x-4)^3)) Function 2: y = (x -1)^3 - 5 I need to find the area of the tunnel, so I can find the amount of dirt that needs to be removed...

Homework Statement A plane monochromatic electromagnetic wave (polarized in x-direction and propagating in the z direction) is scattered by a free electron initially at rest. Homework Equations \vec{E}=E_0 \exp(i(kz-wt)) \hat{x} \vec{B}=\frac{E_0}{c} \exp(i(kz-wt)) \hat{y} The...

Ok so I have a degree in math. I'm pretty sure I'll get above average on the GRE math section. But I want to get a perfect. What are the best sources to get a perfect score? I tried reading princeton review, but they mostly give me common sense type questions. Are there any books that gives me a...

I have the following process: two ingoing particles, a photon hitting a nucleus, and two outgoing particles, the nucleus and a pion. I have computed |M|2 and the differential cross section in the center of mass frame dσ/dΩCM; I now have to go into the lab frame, where the nucleus is initially at...

I was reading Wikipedia article on Rayleigh scattering and came upon this: "...the major constituent of the atmosphere, nitrogen, has a Rayleigh cross section of 5.1×10^(−31) m^2 at a wavelength of 532 nm (green light). This means that at atmospheric pressure, about a fraction 10^(−5) of...

Which wood cross sectioπ caπ carry hïghest uπiform load Homework Statement Homework Equations Moment of inertia for rectangle I=(1/12)bh3 τ=(VQ)/(I*b) σ=(MV)/I The Attempt at a Solution I started by finding reactions at B and C Then drew the sheer and moment diagrams (to save...

Hello, I am currently working on my lab, and am wondering if someone would be so kind as to give it a gander. The only section I need looked over is the theory section, which, incidentally, is the only part I have written thusfar. I'd really appreciate it if you could critique the theory...

If a V-shaped cut were to be made through an entire sphere, radius DR (Dome Radius) with a Cutting Angle (CA- angle of the cut), what would be the surface area of the sphere section that would be cut? This is assuming that CA is less than 180 degrees. Also the Cut Depth (CD- depth of the...

https://skydrive.live.com/redir?resid=22F7BBABD7DEE83B!136&authkey=!AP6uQQ9mR04UuAE Can anyone please help. I have calculated the area and Neutral Axis about xx and yy of a C section beam which I know is correct (see above link) I'm have difficultly calculating the 2nd moment of area...

1. Is mutual exclusion, progress, and bounded waiting satisfied in this code? Code: Two process solution to the critical section problem For this problem, you can decide any case you want whether the processes go one after the other, execute two lines at once then switch to the other...

Here is the original question, i know the first answer as 182mm A square section cantilever beam, 3 m in length, carries a concentrated load of 10 kN at its free end. If the maximum bending stress is not to exceed 30 MPa determine the minimum dimensions of the section. Ans 182mm, What...

Hi, Can Someone Elaborate the fluid(water) Characteristics Such as Velocity n pressure When it passes through a divergent Part. Actually The Fluid is pumped Out from A 0.5HP Centrifugal Pump and then made to pass through a Divergent Part.

Hello! I´m confused about this concept.. It seems rather trivial, but my teacher is not that pedagogical and describes it as a rather diffcult concept so maybe I misunderstood it. Given the definition in Sakurai and the scattering of only one particle it seem to be a kind of "denisty" per...

Hello, My name is Ryan and I'm a volunteer instructor with the local Royal Canadian Air Cadet squadron. I'm looking for ways to try and make the kids' aviation lessons more interactive and hands on, and so I've decided I'd like to build them a small wind tunnel, purely for flow visualization...