Section Definition and 680 Threads

  1. zihao yu

    A Discover the Cross Section of η′→γγ and Its Calculation Methods

    Is there any measure for cross section of η′→γγ? Or has anyone did the calculation??
  2. M

    Why Is My Electron-Positron Scattering Cross Section Calculation Incorrect?

    Homework Statement I have a problem in calculating cross-section in elektron-positron -> muon-antimuon scattering. Homework Equations In the relativistic limit, we find the differential cross-section of {e}+{e^-} -> {μ}+{μ^-} is \frac{d\sigma}{d\Omega}=\frac{\alpha^2}{4s}*(1+cos^2{\theta})...
  3. Math Amateur

    Projective Plane ... Cox et al - Section 8.1, Exs 5(a) & 5(b)

    Homework Statement I am reading the undergraduate introduction to algebraic geometry entitled "Ideals, Varieties and Algorithms: An introduction to Computational Algebraic Geometry and Commutative Algebra (Third Edition) by David Cox, John Little and Donal O'Shea ... ... I am currently...
  4. Math Amateur

    MHB Help with Projective Algebraic Geometry - Cox et al Section 8.1, Exs 5(a) & 5(b)

    Projective Algebraic Geometry - the Projective Plane ... Cox et al - Section 8.1, Exs 5(a) & 5(b) I am reading the undergraduate introduction to algebraic geometry entitled "Ideals, Varieties and Algorithms: An introduction to Computational Algebraic Geometry and Commutative Algebra...
  5. Math Amateur

    Projective Plane - Cox et al - Section 8.1, Exercise 4(a)

    Homework Statement I am reading the undergraduate introduction to algebraic geometry entitled "Ideals, Varieties and Algorithms: An introduction to Computational Algebraic Geometry and Commutative Algebra (Third Edition) by David Cox, John Little and Donal O'Shea ... ... I am currently...
  6. Math Amateur

    MHB Projective Algebraic Geometry - Exercise 4(a) Cox et al - Section 8.1

    I am reading the undergraduate introduction to algebraic geometry entitled "Ideals, Varieties and Algorithms: An introduction to Computational Algebraic Geometry and Commutative Algebra (Third Edition) by David Cox, John Little and Donal O'Shea ... ... I am currently focused on...
  7. Math Amateur

    MHB Help with Exercise 3(c) in Cox et al's Projective Algebraic Geometry

    I am reading the undergraduate introduction to algebraic geometry entitled "Ideals, Varieties and Algorithms: An introduction to Computational Algebraic Geometry and Commutative Algebra (Third Edition) by David Cox, John Little and Donal O'Shea ... ... I am currently focused on...
  8. Math Amateur

    MHB Peter Needs Help on Cox et al - Section 8.1, Exercise 3(a)

    I am reading the undergraduate introduction to algebraic geometry entitled "Ideals, Varieties and Algorithms: An introduction to Computational Algebraic Geometry and Commutative Algebra (Third Edition) by David Cox, John Little and Donal O'Shea ... ... I am currently focused on Chapter...
  9. Safinaz

    I How to estimate this cross section

    Hi all, Do any has an idea how to give a rough estimation for this process's cross section: g g -> H -> h h, (h -> b b~), ( h -> b b~) ? where h is SM Higgs and H is a heavy Higgs boson with BR (H > hh) ~ Gamma (H > hh) ~ 10^-3 GeV and sigma (g g > H ) ~ 10 pb .. When I calculated it by...
  10. Safinaz

    I How to know the cross section in this Figure

    Hi all, Do anyone familiar with these analysis of cross section ? I wonder how to find the cross section of ( p p ## \to \gamma \gamma## b b~) (blue region) in the opposite plot, the y-axis is the number of events divided by 100 GeV with luminosity = 100 ##\mbox{fb}^{−1 }##.. The Fig. from...
  11. P

    What is the shear flow equation for the lower horizontal bar in a hat section?

    Homework Statement I've a problem with defining x function for the lower horizontal bar on the left hand side. Is it shear flow for this part = Vx/Iy * 3 * s^2 * 0.5 (after integration) ? Or should I take whole x part on which is acting force Vx? Homework EquationsThe Attempt at a Solution
  12. S

    Cross section change and failure of tube

    Hey, working on something for a personal project and was wondering if you could point me in the right direction. I have a 47 inch hollow steel tube that I'm going to cut the end 6 inches into a half circle tube . I have a load of 200 lb at the top and am wondering how about I would quickly...
  13. Math Amateur

    MHB Ideals in Q[x, y] .... Cox, Little and O'Shea, Chapter 1 Section 4

    I am reading the undergraduate introduction to algebraic geometry entitled "Ideals, Varieties and Algorithms: An introduction to Computational Algebraic Geometry and Commutative Algebra (Third Edition) by David Cox, John Little and Donal O'Shea ... ... I am currently focused on Chapter 1...
  14. S

    Bernoulli equation related to minimum pressure inside train

    Homework Statement The train is traveling in a gallery at ##v=70 km/h##. Outside air is not moving and pressure is ##p_0=101325 Pa## and temperature ##T=283 K ##. The area of the face of the train is ##A=9 m^2##. Determine the minimum area of the section of the gallery such that the pressure...
  15. qnach

    Jackson classical electrodynamics section 9-6

    I am not sure what does Jackson want to talk in section 9-6? Is that just a review of something discussed previously? Chapter 9 is talking about radiation, and later about multipole expansion.
  16. H

    I Determine if an equation describes a conic section

    Given an equation, we can determine which type of conic section it describes by calculating ##d=B^2-4AC## (see attachment). However, the theorem demands that the equation describes a conic section. So how do we show that it does? Does there exist a counterexample where ##B^2-4AC<0##, but it is...
  17. prashant singh

    I Section formula, external ratio

    I want to know how mathematician got the idea of external division , how they can say that a point can divide a line externally, what's the reason behind this discovery . Why they discovered it.
  18. Math Amateur

    I Tensor Algebras - Dummit and Foote, Section 11.5

    I am reading Dummit and Foote: Abstract Algebra (Third Edition) ... and am focused on Section 11.5 Tensor Algebras. Symmetric and Exterior Algebras ... In particular I am trying to understand Theorem 31 but at present I am very unsure about how to interpret the theorem and need some help in...
  19. Math Amateur

    MHB Tensor Algebras - Dummit and Foote, Section 11.5

    I am reading Dummit and Foote: Abstract Algebra (Third Edition) ... and am focused on Section 11.5 Tensor Algebras. Symmetric and Exterior Algebras ... In particular I am trying to understand Theorem 31 but at present I am very unsure about how to interpret the theorem and need some help in...
  20. Math Amateur

    MHB Extension of Scalars: Dummit & Foote's Section 10.4 Q&A

    I am reading Dummit and Foote's book: Abstract Algebra ... ... and am currently focused on Section 10.4 Tensor Products of Modules ... ... I have a basic question regarding the extension of the scalars ... Dummit and Foote's exposition regarding extension of the scalars reads as...
  21. Math Amateur

    I Extension of scalars .... D&F, Section 10.4: Tensor Products

    I am reading Dummit and Foote's book: Abstract Algebra ... ... and am currently focused on Section 10.4 Tensor Products of Modules ... ... I have a basic question regarding the extension of the scalars ... Dummit and Foote's (D&Fs) exposition regarding extension of the scalars reads as...
  22. Math Amateur

    I Free Groups - Dmmit & Fooote - Section 6.3

    I am reading Dummit and Foote's book: Abstract Algebra ... ... and am currently focused on Section 6.3 A Word on Free Groups ... I have a basic question regarding the nature and character of free groups ... Dummit and Foote's introduction to free groups reads as follows: In the above text...
  23. Math Amateur

    MHB Free Groups - Dummit & Fooote - Section 6.3

    I am reading Dummit and Foote's book: Abstract Algebra ... ... and am currently focused on Section 6.3 A Word on Free Groups ... I have a basic question regarding the nature and character of free groups ... Dummit and Foote's introduction to free groups reads as...
  24. P

    Difference of B-10(n,2a)H-3 cross section in ENDF/B

    In the research,it is found there is significant difference of B-10(n,2a)H-3 reaction cross section between ENDF/B-V and ENDF/B-VI (http://www.nndc.bnl.gov/).The cross section in ENDF/B-V is 10 times less than ENDF/B-VI when neutron energy...
  25. Math Amateur

    MHB Theorem 6.10 in Knapp's Basic Algebra: Exploring Bilinearity & Descending Maps

    I am reading Anthony W. Knapp's book: Basic Algebra in order to understand tensor products ... ... I need some help with an aspect of Theorem 6.10 in Section 6 of Chapter VI: Multilinear Algebra ... The text of Theorem 6.10 reads as follows: The above proof mentions Figure 6.1 which is...
  26. Math Amateur

    I Tensor Product - Knapp, Chapter VI, Section 6

    I am reading Anthony W. Knapp's book: Basic Algebra in order to understand tensor products ... ... I need some help with an aspect of Theorem 6.10 in Section 6 of Chapter VI: Multilinear Algebra ... The text of Theorem 6.10 reads as follows: About midway in the above text, just at the start...
  27. Math Amateur

    MHB Tensor Product - Knapp, Chapter VI, Section 6

    I am reading Anthony W. Knapp's book: Basic Algebra in order to understand tensor products ... ... I need some help with an aspect of Theorem 6.10 in Section 6 of Chapter VI: Multilinear Algebra ... The text of Theorem 6.10 reads as follows:https://www.physicsforums.com/attachments/5391...
  28. Math Amateur

    MHB Dual Vector Space and Dual Basis - another question - Winitzki Section 1-6

    I am reading Segei Winitzki's book: Linear Algebra via Exterior Products ... I am currently focused on Section 1.6: Dual (conjugate) vector space ... ... I need help in order to get a clear understanding of an aspect of the notion or concept of the dual basis $$ \{ e^*_1, e^*_2, \ ... \ ...
  29. G

    A Pp total cross section and asymtotic freedom

    Hi! On page 12 of http://pdg.lbl.gov/2009/reviews/rpp2009-rev-cross-section-plots.pdf one can see the total cross section increasing beyond a certain treshold. At higher energy protons (and their quarks) have a shorter wave length and so they can become closer an closer and the strong force...
  30. Math Amateur

    A general 2-form - Colley Chapter 8, Section 8.1

    I am reading Susan Colley's book: Vector Calculus ... and am currently focussed on Section 8.1: An Introduction to Differential Forms ... ... Colley, on page 491 in Example 3 gives a formula for a general 2-form as follows:I am trying to understand what Colley describes as 'the somewhat curious...
  31. Safinaz

    Higgs production cross section

    Hi all, I try to find the exact calculated gluon- gluon fusion cross section for the SM- Higgs with mass 125 GeV, for instance at CME = 14 TeV. I found on twiki page: " https://twiki.cern.ch/twiki/bin/view/LHCPhysics/CERNYellowReportPageAt1314TeV#s_14_0_TeV " ##\sigma(gg \to h) = 49.47~ pb##...
  32. S

    Peskin and Schroeder - page 4 - spin and cross section

    In chapter 1 of Peskin and Schroeder, the reaction ##e^{+}e^{-}\rightarrow \mu^{+}\mu^{-}## is studied in detail. The related following paragraph is taken from page 4 of Peskin and Schroeder: Both the electron and the muon have spin ##1/2##, so their spin orientations must be specified. It is...
  33. Math Amateur

    MHB Basic equation in Vector Space - Cooperstein Exercise 1, Section 1.3

    I am reading Bruce Cooperstein's book: Advanced Linear Algebra ... ... I am focused on Section 1.3 Vector Spaces over an Arbitrary Field ... I need help with Exercise 1 of Section 1.3 ... Exercise 1 reads as follows:Although apparently simple, I cannot solve this one and would appreciate...
  34. MathematicalPhysicist

    Question 17 in section 2.9 in Schutz's A First Course in GR

    The question is as follows: Prove that any timelike vector for which ##U^0>0## and ##\vec{U}\cdot \vec{U} = -1## is the 4-velocity of some world line. I need to show that there exists a 4-vector ##\vec{x}##, s.t ##\frac{d\vec{x}}{d\tau} = \vec{U}##, where ##\vec{x}## is a world line of some...
  35. S

    Relation between cross section, scattering angle and KE?

    I'm trying to figure our the relation between cross section, scattering angle and KE? I'm doing a few exercises where I've been given kientic energy and scattering angle and have to calculate the cross section. Cross section is in units of Barns (m2), and KE is 1/2 kg*m2*s-2, but I can't seem...
  36. Math Amateur

    Thread: Artinian Modules - Cohn Exercise 3, Section 2.2, page 65

    I am reading P.M. Cohn's book: Introduction to Ring Theory (Springer Undergraduate Mathematics Series) ... ... I am currently focused on Section 2.2: Chain Conditions ... which deals with Artinian and Noetherian rings and modules ... ... I need help to get started on Exercise 3, Section 2.2...
  37. Math Amateur

    MHB Artinian Modules - Cohn Exercise 3, Section 2.2, page 65

    I am reading P.M. Cohn's book: Introduction to Ring Theory (Springer Undergraduate Mathematics Series) ... ... I am currently focused on Section 2.2: Chain Conditions ... which deals with Artinian and Noetherian rings and modules ... ... I need help to get started on Exercise 3, Section 2.2...
  38. astrololo

    Conic Section Equation Rotation Using Tan2β and x,y Coordinates

    Homework Statement I have : (x)^2+(2xy)+y^2+2(2)^(1/2)x−2(2)^(1/2)y+4=0 Now when I use the rotation formulas I get : y'=(x'^2)/2 + 1 But I don't know if this makes sense... Homework Equationstan2β=B/(A−C) x=x'cos β - y'sin β y=x'cos β + y'sin β The Attempt at a Solution We know that β=...
  39. Math Amateur

    MHB Correspondence Theorem for Modules - Rotman, Section 6.1

    I am reading Joseph J. Rotman's book: Advanced Modern Algebra and I am currently focused on Section 6.1 Modules ... I need some help with the proof of Theorem 6.22 (Correspondence Theorem) ... ... Theorem 6.22 and its proof read as...
  40. parazit

    FLUKA Code : Total Cross Section Calculation

    Hi folks, I'm working on Fluka nowadays which you can found from here if you are not familiar. It's a very useful and widely used Monte Carlo simulation package. My main goal is to be able to perform total cross section calculation with it. So far, please consider I'm a rookie, I've done some...
  41. Math Amateur

    MHB Noetherian Rings and Modules: Theorem 2.2 - Cohn - Section 2.2 Chain Conditions

    I am reading P.M. Cohn's book: Introduction to Ring Theory (Springer Undergraduate Mathematics Series) ... ... I am currently focused on Section 2.2: Chain Conditions ... which deals with Artinian and Noetherian rings and modules ... ... I need help with understanding a feature of the Theorem...
  42. BrianKim

    Photoelectric Effect and Conic section

    Hi. I'm high school student who is doing a math project. Yesterday, my project partner (to be precise, his teacher) told me that one can prove the photoelectric effect with conic section, especially with hyperbola. (But, actually, I can't even understand the meaning of the statement. For me...
  43. Math Amateur

    MHB Consequence of Hilberts Nullstellensatz - Dummit & Foote, Section 15.2

    I am trying to gain an understanding of the basics of elementary algebraic geometry and am reading Dummit and Foote (D&F) Chapter 15: Commutative Rings and Algebraic Geometry ... At present I am focused on Section 15.2 Radicals and Affine Varieties ... ... I need help with...
  44. Schwarzschild90

    Particle momenta and cross section

    Will someone explain this step to me?
  45. Math Amateur

    MHB Radicals and Radical Ideals, Dummit and Foote Proposition 11, Section 15.2

    I am trying to gain an understanding of the basics of elementary algebraic geometry and am reading Dummit and Foote Chapter 15: Commutative Rings and Algebraic Geometry ... At present I am focused on Section 15.2 Radicals and Affine Varieties ... ... I need help on an apparently simple...
  46. S

    Methods of Section: Truss problem

    1. The problem statement, Have to find the forces in AC & BC using the methods of section. all variables and given/known data Distance AB = 79cm BC = 63 AC = 98 d = 3.833 AZ = 62.881 ZC = 75.16 Point B is a roller and point A is a Pin Whats given is 39.94N Forces @ C going down Homework...
  47. Math Amateur

    MHB Elementary Algebraic Geometry: Dummit & Foote Ch.15, Ex.24 Coordinate Ring

    I am trying to gain an understanding of the basics of elementary algebraic geometry and am reading Dummit and Foote Chapter 15: Commutative Rings and Algebraic Geometry ... At present I am focused on Section 15.1 Noetherian Rings and Affine Algebraic Sets ... ... I need help to get...
  48. Math Amateur

    MHB Elementary Algebraic Geometry: Exercise 23, Sect 15.1 Dummit & Foote

    I am trying to gain an understanding of the basics of elementary algebraic geometry and am reading Dummit and Foote Chapter 15: Commutative Rings and Algebraic Geometry ... At present I am focused on Section 15.1 Noetherian Rings and Affine Algebraic Sets ... ... I need help to get...
  49. Q

    Problem of a tank with trapezoidal section.

    Homework Statement A deposit of 20 feet long and 10 feet high, has a width of 8 feet at the bottom and 18 feet at the top. In the bottom is an orifice an area of 24 in2 and discharge coefficient of 0.60. If the tank is full calculate the time required for the lower level 6 feet. Consider full...
  50. Q

    Problem of a tank with a trapezoidal section

    Homework Statement In the figure are the dimensions, and the question is the time in which the take will empty Area of orifice 1 cm2 Discharge coefficient: 0.447 Gravity 10 m/s2 Homework Equations [/B] Area of surface = 8x = 8 (2 H) = 16H The Attempt at a Solution . The red lines are the...
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