Section Definition and 733 Threads

  1. Math Amateur

    MHB Why Does Theorem 1.9 Use f(t) Instead of f(γ(t))?

    I am reading John B. Conway's book, "Functions of a Complex Variable I" (Second Edition) ... I am currently focussed on Chapter IV: Complex Integration ... Section 1: Riemann-Stieljes Integral ... ... I need help in fully understanding the first example on page 63 ... ... The the first...
  2. Math Amateur

    MHB Recifiable Paths in C .... Conway, Section 1, Ch. 4 ....

    I am reading John B. Conway's book, "Functions of a Complex Variable I" (Second Edition) ... I am currently focussed on Chapter IV: Complex Integration ... Section 1: Riemann-Stieljes Integral ... ... I need help in fully understanding some notes by Conway on rectifiable paths in \mathbb{C}...
  3. Math Amateur

    MHB Contour Integrals - Example 2.5, Palka, Section 2.2, Ch.4 .... ....

    I am reading Bruce P. Palka's book: An Introduction to Complex Function Theory ... I am focused on Chapter 4: Complex Integration, Section 2.2 Properties of Contour Integrals ... I need help with an aspect of Example 2.5,Section 2.2, Chapter 4 ... Example 2.5, Chapter 4 reads as follows:In...
  4. Math Amateur

    MHB Proof of Lemma 2.1, Part (vi) in Palka's Ch.4: Explaining Inequality

    I am reading Bruce P. Palka's book: An Introduction to Complex Function Theory ... I am focused on Chapter 4: Complex Integration, Section 2.2 Properties of Contour Integrals ... I need some further help with some other aspects of the proof of Lemma 2.1, part (vi), Section 2.2, Chapter 4 ...
  5. Math Amateur

    MHB How Can \dot{\gamma}(0) Fail to Exist in Palka's Example 1.3?

    I am reading Bruce P. Palka's book: An Introduction to Complex Function Theory ... I am focused on Chapter 4: Complex Integration, Section 1.2 Smooth and Piecewise Smooth Paths ... I need help with some aspects of Example 1.3, Section 1.2, Chapter 4 ... Example 1.3, Section 1.2, Chapter 4...
  6. yecko

    Is There an Easier Method for Solving Truss Problems?

    Homework Statement Homework Equations Method of section The Attempt at a Solution This pic below is my attempt, almost solved out length of all the truss... (and i am not sure if my numbers are correct as well for such a troublesome method in solving... ) as my exam would only leave me 15...
  7. Math Amateur

    MHB Analytic Functions - Palka, Ch. III, Section 1.3 ....

    I am reading Bruce P. Palka's book: An Introduction to Complex Function Theory ... I am focused on Chapter III: Analytic Functions ... I need help with fully understanding some remarks by Palka regarding an analytic function in Chapter III, Section 1.3 ... The remarks I refer to from Palka...
  8. Math Amateur

    MHB Limits of Complex Functions .... Final Remark from Palka in Section 2.2 ....

    I am reading Bruce P. Palka's book: An Introduction to Complex Function Theory ... I am focused on Chapter 2: The Rudiments of Plane Topology ... I need help with some aspects regarding an example in Palka's final remarks in Section 2.2 Limits of Functions ... Palka's final remarks in...
  9. F

    Is there a PF section specifically for classical and quantum entropy?

    I'm interested in classical and quantum entropy. Is there a section on PF devoted exclusively to this topic? I searched a few forum discussions but couldn't find anything. I'm new here. Thank you.
  10. S

    Evanescent waves at change of cross section

    Hey guys, if I consider a Bernoulli-Beam with a constant jump in cross- section as shown below Then I get the two differential equations for the bending mentioned above. Let us now assume that a traveling wave from the left w_incident = C*cos(k_1*x - ωt) arrives at t = 0 at the jump of...
  11. D

    Applying Bending Stress to a Model of Ship Section

    Good Afternoon. My name is Dimas M. Rachman, i am an undergraduate student majoring in Ocean Engineering/Naval Architecture. I am currently working on my final project. I need to model the effect of bending stress "inside" a plate of ship's deck with Ansys Workbench. Here is a review about...
  12. F

    Mean Section Method Homework: Cross Sectional Area Solution

    Homework Statement I have problem of obtaining the cross sectional area . Homework EquationsThe Attempt at a Solution Taking section 2-3 as an example , my working is [ (3.3 +4.8) / 2 ]* 5 = 20.25 , but the ans provided is 29.28 , how to get the 29.28 ?
  13. D

    Energy to Cross section conversion

    Homework Statement [/B] Using n-Pb collision experimental data, find sigma_0 in units of 1/keV^2 and convert to cm^2 (I'm copy-pasta'ing from Mathematica, sorry for mess) \[Alpha]n = 7*10^-49m^3; mn = 939565; <--- Neutron mass in keV/c2 \[HBar] = 1*10^-3; <--- Natural units and again keV*s b...
  14. lucasLima

    How to find the resultant force in a T tube section

    Homework Statement So, I need to find the X and Y components of the force in the T section Homework Equations Due the fact that the problem dosn't ask for a specific force I couldn't think in any other equation to use, because even tough there is Pressure and Gravity acting I need to...
  15. Math Amateur

    MHB Field Extensions - Dummit and Foote - Exercise 13, Section 13.2 .... ....

    I am reading Dummit and Foote, Chapter 13 - Field Theory. I am currently studying Section 13.2 : Algebraic Extensions I need some help with Exercise 13 of Section 13.2 ... ... indeed, I have not been able to make a meaningful start on the problem Exercise 13 of Section 13.2 reads as...
  16. Math Amateur

    MHB Confirm/Critique Solution to Dummit and Foote, Section 13.2: Exercise 2

    I am unsure of my approach to Exercise 2 Dummit and Foote, Section 13.2 : Algebraic Extensions .. I am therefore posting my solution to the part of the exercise dealing with the polynomial g(x) = x^2 + x + 1 and the field F = \mathbb{F}_2 ... ... Can someone please confirm my solution is...
  17. Math Amateur

    MHB Help with Dummit & Foote Exercise 1, Section 13.2 - Algebraic Extensions

    I need help with Exercise 1 of Dummit and Foote, Section 13.2 : Algebraic Extensions .. I have been unable to make a meaningful start on the problem ... ... Exercise 1 of Dummit and Foote, Section 13.2 reads as follows: I have been unable to make a meaningful start on this problem ...BUT ...
  18. Math Amateur

    MHB Splitting Fields - Example 3 - D&F Section 13.4, pages 537 - 538

    I am reading Dummit and Foote, Chapter 13 - Field Theory. I am currently studying Section 13.4 : Splitting Fields and Algebraic Closures ... ... I need some help with an aspect of Example 3 of Section 13.4 ... ... Example 3 reads as follows: In the above text by Dummit and Foote, we read...
  19. Math Amateur

    I Splitting Fields - Example 3 - D&F Section 13.4, pages 537 -

    I am reading Dummit and Foote, Chapter 13 - Field Theory. I am currently studying Section 13.4 : Splitting Fields and Algebraic Closures ... ... I need some help with an aspect of Example 3 of Section 13.4 ... ... Example 3 reads as follows: In the above text by Dummit and Foote, we read...
  20. Kirk Truax

    What is the macroscopic cross section for natural uranium to thermal neutrons?

    Hey all, Does anyone happen to know the value of ν∑f for natural uranium? Here ν is the average number of neutron released from fission and ∑f is the macroscopic fission cross section of uranium. Kirk
  21. S

    Charge passing through a cross section for a time varying current

    Homework Statement The current in a wire varies with time according to the equation I(t) = 6.00 A + (4.80 A/s)t, where t is in seconds. How many coulombs of charge pass a cross section of the wire in the time period between t = 0.00 s and 3.00 s Homework Equations I=dq/dt The Attempt at a...
  22. P

    Why does 135Xe have a high thermal neutron cross section?

    Title says it all. Made a few google searches and couldn't find any information. Is there a reason why it is so large, or is it just a coincidence of nature?
  23. E

    I Atmospheric Photolysis and its relation to Absorption Cross Section

    Dear Forum: I have a question about atmospheric photodissociation. I use methane as an example, but any atmospheric gas molecule would suffice. Methane, CH4, has a photodissociation energy of 439 kJ/mole at 298oK, meaning that CH4 + hv --> CH3 + H , hv<274nm. It also has an “absorption cross...
  24. F

    Find Member Forces of AB and DE: Cut Section Method

    Homework Statement I am asked to find the member force of AB and DE Homework EquationsThe Attempt at a Solution I make an imaginary cut of the question and consider the upper part of the cut . Bur , i didnt get the same ans provided . However , when i consider the lower section of the cut , i...
  25. F

    How Does FGF sin26.6 Generate Moment About Point D in Truss Analysis?

    Homework Statement For moment about D , how could the FGF sin26.6 generate moment about D ? Homework EquationsThe Attempt at a Solution FGF sin26.6 is located above point D , right ? How could FGF sin26.6 generate moment about D ?
  26. Math Amateur

    MHB Rings of Fractions .... Lovett, Section 6.2, Proposition 6.2.6 .... ....

    I am reading Stephen Lovett's book, "Abstract Algebra: Structures and Applications" and am currently focused on Section 6.2: Rings of Fractions ... I need some help with the proof of Proposition 6.2.6 ... ... ... Proposition 6.2.6 and its proof read as follows: In the above proof by...
  27. Math Amateur

    I Rings of Fractions .... Lovett, Section 6.2, Proposition 6.2

    I am reading Stephen Lovett's book, "Abstract Algebra: Structures and Applications" and am currently focused on Section 6.2: Rings of Fractions ... I need some help with the proof of Proposition 6.2.6 ... ... ... Proposition 6.2.6 and its proof read as follows: In the above proof by Lovett...
  28. Math Amateur

    MHB Rings of Fractions .... Lovett, Section 6.2 ....

    I am reading Stephen Lovett's book, "Abstract Algebra: Structures and Applications" and am currently focused on Section 6.2: Rings of Fractions ... I need some help with some remarks following Definition 6.2.4 ... ... ... The remarks following Definition 6.2.4 reads as...
  29. Math Amateur

    I Rings of Fractions .... Lovett, Section 6.2 ....

    I am reading Stephen Lovett's book, "Abstract Algebra: Structures and Applications" and am currently focused on Section 6.2: Rings of Fractions ... I need some help with some remarks following Definition 6.2.4 ... ... ... The remarks following Definition 6.2.4 reads as follows: In the...
  30. Muthumanimaran

    Finding the scattering cross section

    Homework Statement In an experiment carried out with a beam of thermal neutrons it is found that on traversing a 2mm thick foil of 197Au, some 70% of the neutrons are removed. What is the total thermal neutron cross-section for this isotope of gold? Comment on the result of the cross-section...
  31. chandrahas

    I Calculating Collision Cross Section in Fusion Reactors

    Most Fusion reactors, and the leading ones like JET, use high temp. plasma and confine it. So, the plasma would approximate the Maxwell- Boltzmann distribution. This means that only a small portion of the plasma has enough energy to fuse. But, collisions are much more often, right? Since not all...
  32. Math Amateur

    MHB Ring Homomorphisms from Z to Z .... Lovett, Ex. 1, Section 5.4 .... ....

    I am reading Stephen Lovett's book, "Abstract Algebra: Structures and Applications" and am currently focused on Section 5.4 Ring Homomorphisms ... I need some help with Exercise 1 of Section 5.4 ... ... ... Exercise 1 reads as follows:Relevant Definitions A ring homomorphism is defined by...
  33. Math Amateur

    Ring Homomorphisms from Z to Z .... Lovett, Ex. 1, Section 5.

    Homework Statement I am reading Stephen Lovett's book, "Abstract Algebra: Structures and Applications" and am currently focused on Section 5.4 Ring Homomorphisms ... I need some help with Exercise 1 of Section 5.4 ... ... ... Exercise 1 reads as follows: Homework Equations The relevant...
  34. B

    Find beam stress in a beam with varying cross section

    Homework Statement Hi, I'm trying to figure out how to calculate the stresses in my beam. The cross section varies (shown in the picture), and I don't know how I'm supposed to think to find the maximum stress. I appreciate tips or links to learn how to do it. Thanks. Sorry if the picture is...
  35. F

    Calculating Best Hydraulic Section for Composite Channel - Flow Rate 6.5(m^3/s)

    Homework Statement Determine the depth of the flow of channel if the best hydraulic channel is needd for composite channel in figure to convey flow rate of 6.5(m^3/s) , Manning coefficient n on bed slope are 0.015 and 0.0015 respectively . Homework EquationsThe Attempt at a Solution I assume...
  36. S

    K X-Ray Production in PIXE: 2 MeV vs. 4 MeV

    Homework Statement In PIXE (Proton-Induced X ray Emission), if you increase the beam energy from 2 MeV to 4 MeV, do you expect that the factor of increase in the cross section for the K X ray production from Ni is higher than that from S, or vice-versa? Homework EquationsThe Attempt at a...
  37. C

    Pressure drop across a tube section - compressible flow

    So, a coworker approached me today with a 'simple problem' to solve, looking to sanity-check a design choice. Much to my dismay, I had no idea how to approach it. Worse, google had no straight-forward answers either, and any formulae I did find seemed circular. This seems too simple to...
  38. P

    Energy from the Sun received at the Earth cross section

    Homework Statement My homework involves calculating the amount of energy the Earth receives from the Sun in a given year. I actually have the answer, but what I'm confused with is that the calculation says that the Sun "sees the cross section of the Earth, a circle". So in the calculation, we...
  39. F

    Angle of twist / stress of thin wall having closed section

    Homework Statement why the mean area enclosed within the boundary of the centerline of tube thickness is (0.035)(0.057) ? Is it wrong ? Second question , why for the ds it's 2(57) and 2(35) respctively ? what is ds actually ? Homework EquationsThe Attempt at a Solution for the first...
  40. charlesmartin14

    Help with derivation of two-body relativistic cross section

    Homework Statement I am trying to derive the 2 body cross section, as given in https://web2.ph.utexas.edu/~schwitte/PHY362L/QMnote.pdf dσ/dΩ Homework Equations I am stuck on d√s/dp=v where √s=(Ea+Eb)=E The Attempt at a Solution p=Ev (relativisitic energy-momentum relationship) √s=E...
  41. I

    Nuclear reactions, cross section, reaction rate

    Homework Statement A beam of ##^{50}##Ti nuclei impinged on a ##0.5 mg/cm^2## thick ##^{208}##Pb target in an experiment lasting 176 hours. During that time a total of ##3260 \; ^{257}##Rf nuclei were detected. The beam intensity was throughout the experiment constant at ##6.6\mu A##. Each...
  42. nothing909

    Cable Sizing: How External Factors Impact Section Area

    Homework Statement How does the method of cable installation and other external factors influence the required cable cross sectional area for a given circuit Homework EquationsThe Attempt at a Solution I've been searching for the answer for this for ages. I only find answer relating to types...
  43. A

    Drawing the Section: Homework Statement Help

    Homework Statement http://3.1m.yt/J986z5A.jpg Homework EquationsThe Attempt at a Solution I don't know if this is a cross section or if I should draw it. Could you give me a any other example or hint a bout this exercise? I think it can be a triangle, but I am not sure. i don't know how to add...
  44. A

    Which View to Show for a Horizontal Cut?

    Homework Statement I don't understand the cuts or the views. For example if we make a horisontal cut, which view we should show? http://1.1m.yt/UJasa7v.jpg Homework EquationsThe Attempt at a Solution I have in the book an example that if we make a vertical cut we show the upper view (view...
  45. A

    Engineering Free Exercises on Right Angle Projections & Cross Section Views

    I am looking for free solved exercises about: right angle projections, (cross) section views Here are some pictures of my book so you can understand what I am looking for http://1.1m.yt/3cNNDl-.jpg http://1.1m.yt/FekMn6x.jpg http://1.1m.yt/1t3KEer.jpg http://1.1m.yt/urA5V2_.jpg...
  46. A

    Use the correct cut (section) to draw the object

    Homework Statement Draw the objects in in the necessary views using the appropriate cut (section) Are the views correct? Homework EquationsThe Attempt at a Solution https://s13.postimg.org/gjv1jmbsn/20161129_185242.jpg https://s13.postimg.org/z0pgafrqv/20161129_195049.jpg
  47. F

    Variation of shear stress at the rectangle cross section

    Homework Statement In the notes , I don't understand why the shear stress is maximum at the edge ( circle part) . Homework EquationsThe Attempt at a Solution I think it's wrong . Refer to another diagram attached , i found that the shear stress varies parabolically across the vertical length...
  48. kiwaho

    A Equivalence equation between cross section & half life?

    Is there equivalence equation between cross section & half life? For beta decay, we usually use half life to describe how fast or slow the decay undergo. For nuclear reaction, we use cross section to describe the possibility of reaction. In a sense, they reflect the same root physics spirit. Is...
  49. kiwaho

    A Why so big of a difference in cross section by different sources?

    if you look up the cross section in Janis books, usually for same reaction, different cross sections are quoted by different laboratories. For example, the values of thermal neutron capture reaction 9Be(n, r)10Be: EAF-2010, 0.0075b ENDF/B-VII.1, 0.01b JEFF-3.1.2, 0.0088b JENDL-4.0, 0.0085b...
  50. C

    I Derivation of splitting function from cross section

    Consider the real emission correction to the tree level process ##e^+ e^- \rightarrow q \bar q## involving a final state gluon emitted from either the outgoing quark or antiquark line. The differential cross section for producing a quark with fractional energy ##x_1## in the ##q \bar q g##...
Back
Top