Relations Definition and 579 Threads

Industrial relations or employment relations is the multidisciplinary academic field that studies the employment relationship; that is, the complex interrelations between employers and employees, labor/trade unions, employer organizations and the state.
The newer name, "employment relations" is increasingly taking precedence because "industrial relations" is often seen to have relatively narrow connotations. Nevertheless, industrial relations has frequently been concerned with employment relationships in the broadest sense, including "non-industrial" employment relationships. This is sometimes seen as paralleling a trend in the separate but related discipline of human resource management.While some scholars regard or treat industrial/employment relations as synonymous with employee relations and labour relations, this is controversial, because of the narrower focus of employee/labour relations, i.e. on employees or labour, from the perspective of employers, managers and/or officials. In addition, employee relations is often perceived as dealing only with non-unionized workers, whereas labour relations is seen as dealing with organized labour, i.e unionized workers. Some academics, universities and other institutions regard human resource management as synonymous with one or more of the above disciplines, although this too is controversial.

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  1. M

    Relations between ANY TWO of LQG, TQFT, CFT wanted

    In Tom Stoer's latest thread, he says "there is growing evidence that the incompleteness of the different approaches [LQG / canonical QGR / spin foams] has a common origin", and suprised suggests that "it may be that trying to quantize an effective theory will never work, ie., without...
  2. K

    What Are the Relations Among Field Automorphisms in Galois Theory?

    Homework Statement Let L = Q(t) be the field of rational functions with one variable over Q. Consider the field automorphisms of L defined by a : t -> 1 - t and b : t -> 1/t . Find the relations. I will then be using this to find the size and abstract structure of the subgroup G of Aut(L)...
  3. T

    Relations between Angle of Launch, Range & Flight Time

    1. How do angle of launch, range, and flight time relate to one each other? 2.ΔX=vcosθ*t [b]3. According to the equation above,in my opinion as θ increases, range should decrease and time(t) should increase. Is there any other way of knowing the relation?
  4. H

    How Does Inflation Affect the Thickness of a Plastic Ball?

    Homework Statement A plastic ball is inflated enough to produce tangential stresses. σX = σY = 2000Kpa The radial thickness of the material is 1.2mm brfore inflation. Find the thickness after inflation if the tensile modulus of elasticity is 3.4Gpa and the shear modulus is 1.4Gpa...
  5. B

    Commutation relations of angular momentum with position, momentum.

    Homework Statement Using the position space representation, prove that: \left[L_i, x_j\right] = i\hbar\epsilon_{ijk}x_k . Similarly for \left[L_i, p_j\right] . Homework Equations Presumably, L_i = \epsilon_{ijk}x_jp_k . \left[x_i, p_j\right] = i\hbar\delta_{ij} . The Attempt at a...
  6. M

    Vieta's Relations: Proving \sumg(x_{k}) = 6

    Homework Statement Consider the polynomials: f(x) = x^{6} + x^{3} +1 and g(x) = x^{2} + x + 1 Denote the roots of f(x) = 0 by x_{1}, ... , x_{6}. Show that \sumg(x_{k}) = 6 , 1\leqk\leq6Homework Equations Vieta relations. The Attempt at a Solution Please correct any initial...
  7. B

    Are These Relations Reflexive, Antisymmetric, and Transitive?

    Homework Statement Are these two relations reflexive, antisymmetric, transitive? 1. (w,x)<=(y,z) iff w+x <= y+z 2. (w,x)<=(y,z) iff w+x <= y+z AND w<y Homework Equations The Attempt at a Solution 1. reflexive - yes; antisymmetric - no; transitive - yes; 2. reflexive -...
  8. T

    Pressure - velocity relations for water

    Ok, so I've been getting confused about some things recently. I've read that fluid flowing in a pipe at higher velocity has less pressure than one flowing slowly. So this means that the less pressure the fluid has, the more momentum it has as it has greater velocity. So suppose I were trying...
  9. P

    Proth Primes: Coefficient & Exponent Relations

    Definition: Proth number is a number of the form : k\cdot 2^n+1 where k is an odd positive integer and n is a positive integer such that : 2^n>k My question : If Proth number is prime number are there some other known relations in addition to 2^n>k , between exponent n and coefficient k ?
  10. L

    DOE for nonlinear complex relations

    Hello I want to research whether different factors have a significant impact on the response in a complex non linear phenomenon. My hypothesis is that 5 controllable factors both discrete and continuous have impact on the response. Is it possible to use a methodology similar to this one...
  11. P

    Let A and B be relations on the set C = {1,2,3,4,5,6}

    Homework Statement Let A and B be relations on the set C = {1,2,3,4,5,6}. Prove or disprove the following: If A and B are symmetric, then A U B is symmetric. Homework Equations The Attempt at a Solution The main problem is that I don't know how A U B is defined. In general...
  12. B

    XRy: x has drawn a picture of y | what relations apply?

    Homework Statement The relation xRy is defined as "x has drawn a picture of y". R is on the set of all people. Is this relation: reflexive, irreflexive, symmetric, asymmetric, antisymmetric, transitive ? Homework Equations What confuses me about this problem is that there is uncertainty...
  13. M

    Some hermitian operators relations

    How can I formally demonstrate this relations with hermitian operators?(A^{\dagger})^{\dagger}=A (AB)^{\dagger}=B^{\dagger}A^{\dagger} \langle x|A^{\dagger}y \rangle=\langle y|Ax \rangle ^* If \ A \ is \ hermitian \ and \ invertible, \ then \ A^{-1} \ is \ hermitian I've tried to prove them...
  14. C

    Need help with this proof about set relations

    1. I am triying to write a proof that states. Let R be a binary relation on a set A and let R^t be the transitive closure of R. Prove that for all x and y in A, xR^t y if and only if, there is a sequence of elements of A, say X1, X2,..., Xn, such that X= X1, X1RX2,... Xn-1RXn, and Xn = y. Im...
  15. N

    Test if 2 transformations produce equivalent relations to a reference

    Hello -- I have some reference object R (e.g. a protein), and I've got two transformations t1 and t2 (e.g. a transformation = quaternion + translation). In my case, t1 and t2 were obtained from symmetry operations. So after applying t1 to R I get object T1, and after applying t2 to R I get...
  16. T

    Equivalence relations and addition

    Homework Statement prove that if a~a' then a+b ~ a' + b Homework Equations The Attempt at a Solution I can prove that if a=a' then a+b = a' + b but how can I apply this to any equivalence relation
  17. C

    Laws of motion question with constraint relations

    Homework Statement Find : a) acceleration of 1 kg, 2kg and 3 kg blocks and b) tensions T1 and T2 Note: In the figure, 1, 2 and 3 represent the masses of respective blocks in Kg. T1 and T2 represent tension in strings Homework Equations Newton's laws and constraint equations...
  18. C

    Prove Relationship between Equivalence Relations and Equivalence Classes

    I'm not sure if I did these 2 questions correctly, so would someone please check my work for any missing ideas or errors? Question 1: Homework Statement Prove: For every x belongs to X, TR∩S(x) = TR(x) ∩ TS(x) Homework Equations The Attempt at a Solution TR(x) = {x belongs to X such that...
  19. Avatrin

    Recurrence relations - intuition

    Hi My calculus textbook is completely crap at explaining recurrence relations. I know the theorems needed to solve difference equations analytically, but I do not understand why they are true. What websites and/or books can I read to get a better intuitive understanding of recurrence...
  20. F

    Confusion is a good word to describe this problem. Relations

    Homework Statement [PLAIN]http://img193.imageshack.us/img193/820/unledoxy.png The Attempt at a Solution OKay I could interpret A as something like {{-...,-...}, {-1,-1}, {-1,-2}...{-1,1}...{1,-1}, {1,1}, {2,...}, {..., ...}} Just a lot of combinations of integers without 0...
  21. F

    How to derive Thermodynamic Relations from Volume Data

    I'm struggling to derive some thermodynamic equations from this http://my.safaribooksonline.com/book/chemical-engineering/9780132441902/thermodynamic-properties-from-volumetric-data/ch03lev1sec1" : Homework Statement I'm trying to derive all the equations from 3.8 to 3.14 for Pressure...
  22. N

    Relations between kinetic energy, momentum and velocity

    Dear Sirs, I have discovered these two formulas: p = (1-v^2/c^2) * dKE / dv v = dKE / dp where p – momentum; v – velocity; KE – kinetic energy. Everywhere are used relations with full energy instead of kinetic. Therefore would be nice to know why these two are not used...
  23. D

    Show that: Commutator relations (QM)

    Homework Statement Show that: [p,x] = -iħ, Show that: [p,x^n] = -niħ x^(n-1), n>1 Show that: [p, A] = -iħ dA/dx Where p = -iħ d/dx, and A = A(x) is a differentiable function of x. Homework Equations [p,x] = px - xp; The Attempt at a Solution So far I understand part of each...
  24. J

    Closure relations of a language

    Hi, I'm having a little trouble understand the idea of closure as so many places seem to describe it differently. I'm working on an example problem that states "L* is the closure of language L under which relations?" From what I gather, for a language to be closed over a relation, it means...
  25. J

    Canonical Commutation Relations: Why?

    Virtually every treatment of quantum mechanics brings up the canonical commutation relations (CCR); they go over what the Poisson bracket is and how it relates to a phase space / Hamiltonian mechanics, and then say "then, you replace that with ih times the commutator, and replace the dynamical...
  26. A

    Open and Closed Relations: A Topological Approach to Evaluating Limits

    "Open" and "closed" relations We know that if we have convergent sequences (xn) and (yn) in simply ordered metric space, then xn\leqyn implies that the limits x and y have x\leqy. Also, xn<yn. My instinct on noting this is to say that "<" is an "open relation" on that metric space, and that...
  27. G

    Equivalence Relations on Z - Are There Infinite Equivalence Classes?

    Homework Statement Deciede if the following are equivalence relations on Z. If so desribe the eqivalence classes i) a\equiv b if \left|a\right| = \left|b\right| ii) a\equiv b if b=a-2 Homework Equations The Attempt at a Solution i) \left|a\right| = \left|a\right| so its...
  28. F

    Sets and Algebraic Structures, help with equivalence relations

    Let Q be the group of rational numbers with respect to addition. We define a relation R on Q via aRb if and only if a − b is an even integer. Prove that this is an equivalence relation. I am very stumped with this and would welcome any help Thank you
  29. mnb96

    Mathematica Finding recursive relations in Mathematica

    Hello, I have a sequence of polynomials defined in the following way: P_k(x) = \frac{\partial^k}{\partial x^k}e^{s(x)}\vert_{x=0} Essentially the polynomial Pk is the k-th derivative of \exp(s(x)) evaluated at x=0. The function s(x) is a polynomial of 2nd degree in x. In mathematica I...
  30. M

    How to Derive Thermodynamic Relations for Enthalpy and Temperature?

    1. The problem statement: Show that a) (∂H/∂T)V = CV(1 - βμ/κ) b) (∂H/∂V)T = μCP/Vκ c) (∂T/∂V)H = μ/(V(μβ - κ))2. Homework Equations : i) β = (1/V)(∂V/∂T)P ii) κ = -(1/V)(∂V/∂P)T iii) β/κ = (∂P/∂T)V iv) CV = (∂U/∂T)V v) CP = (∂H/∂T)P vi) CP - CV = TVβ2/κ vii) η = (∂T/∂V)U = (1/CV)(P -...
  31. P

    Kramers-Kronig relations for limited data point

    Hello, I need to measure the complex-optical conductivity of some materials. The problem is that I can only measure the imaginary part of the complex conductivity only for limited wavelengths between 1030 nm and 2300 nm. From Kramers-Kronig relations, we know that the real and imaginary...
  32. J

    Input output relations in signals and systems

    Homework Statement I have a trouble understanding what would be the output when for example we say let's input the signal x(k*n) or x(n-n0) to the system... this has given me problems when having to solve systems for which I have to check the property of time invariance suppose we have a...
  33. T

    Can R be a subset of S and still not have the same reflexivity as S?

    Hi, this is my first time posting here, and I am trying to prove the following proofs and I do not know how to start: Suppose R and S are relations on set A 1. If R is reflexive and R is a subset of S, then S is reflexive. 2. If R is symmetric and R is a subset of S, then S is symmetric. 3...
  34. C

    Derivation of creation and annihilation operator commutation relations

    Hi, I'm hopng someone can help me. I've begun working my way through Lahiri's "A first book of quantum field theory". In chapter 3 he shows the Fourier decomposition of the free field is given by \phi(x) = \int \frac{d^3 P}{\sqrt{(2\pi)^3 2E_p}} (a(p) e^{-ip\cdot x} + a^D(p) e^{ip...
  35. Mentallic

    Solving Recurrence Relation: a_n+3a_{n-1}-10a_{n-2}=2^n

    Homework Statement a_n+3a_{n-1}-10a_{n-2}=2^n The Attempt at a Solution I missed the lectures that addressed how to solve these kinds of problems, and while studying my recommended textbook it only went as far as solving recurrence relations that are equal to 0 as opposed to 2n. I...
  36. T

    Dispersion Relations and Refractive INdex

    Homework Statement The conductivity of a plasma is defined as \sigma = i\frac{Ne^{2}}{m\omega} where N is the electron density. a) Prove the refractive index is: n = \sqrt{1- (\frac{\omega}{\omega_{p}})^{2}} with \omega_{p} = \sqrt{\frac{Ne^{2}}{m\epsilon_{0}}} b) Show the Attenuation...
  37. L

    Relations of an affine space with R^n , and the construction of Euclidean space

    (This could maybe turn out to be a little longer post, so I'll bold my questions) Hi, I was reading a little about affine geometry, and something bothered me. Namely, in some books, there were some paragraphs that were written like "blabla, let's observe an affine plane for instance, and...
  38. F

    Determining Functions from relations

    I know that determining functions from relations can be easy. A relation is a function if every x has a unique y or every first coordinate(domain) of the ordered pair has exactly one second coordinate(range). What I don't know is if the repetition of an ordered pair affect the set at all...
  39. M

    Quiver path algebra and F-term relations in melting crystals

    EDIT: fixed TeX issues Hi, I'm learning about the correspondence in string theory between the geometry of Calabi-Yau manifolds and melting crystals. I care more about the math and know almost nothing about string theory, so navigating the literature littered with so much string theory jargon...
  40. S.Daedalus

    Feynman's Derivation of Maxwell's Equations from Commutator Relations

    According to Dyson, Feynman in 1948 related to him a derivation, which, from 1) Newton's: m\ddot{x}_i=F_i(x,\dot{x},t) 2) the commutator relations: [x_i,x_j]=0m[x_i,\dot{x}_j]=i\hbar\delta_{ij} deduces: 1) the 'Lorentz force': F_i(x,\dot{x},t)=E_i(x,t)+\epsilon_{ijk}\dot{x}_j B_k(x,t) 2)...
  41. dextercioby

    Commutation relations (maths)

    One of my dilemmas about <standard> quantum mechanics is spelled out in the sequel: If the position and momentum observables of a single-particle quantum system in 3D are described by the self-adjoint linear operators Q_i and P_i on a seperable Hilbert space \mathcal{H} subject to the...
  42. F

    Relativistic E/p relations in the WKB Approximation

    EDIT: fixed minus sign issue =) Hey, I have what is probably a rather trivial question but I just want to ensure that I'm on the right track :) If I have a wave equation of the form -\psi''(r) +A(r) \psi(r) = 0 then one can invoke (in suitable circumstances) the semi-classical...
  43. X

    More questions about Relations

    More questions about "Relations" I have some more questions... 1) How do I exactly define an equivalence relation? I know it needs to be reflexive, symmetric, and transitive. That's too much to check for, and it's very confusing. There must be something else. No? This is important, because I...
  44. X

    Sorry, I am not sure what you are asking. Could you please clarify?

    Trying to prepare for an exam... 4) Let f : A -> B be any function from the set A to the set B. How is the equivalence relation ~f on A defined? 5. Let f : R -> R, x -> x^2, (Couldn't find the R symbol - real numbers) be the parabola function. What does the partition for the equivalence...
  45. L

    Probability question involving recurrence relations

    Homework Statement [PLAIN]http://img812.imageshack.us/img812/5261/unleduqi.png Homework Equations The Attempt at a Solution Can anyone help with part (a)ii, is pk=(1/2)^k? I can't see how to find qk
  46. jfy4

    Generalized commutation relations

    I would like to work out the following commutation relations (assuming I have the operators right...:-p) (1) \left[\hat{p}^{\alpha},\hat{p}_{\beta}\right] (2) \left[\hat{p}_{\alpha},\hat{L}^{\beta\gamma}\right] (3) \left[\hat{L}^{\alpha\beta},\hat{L}_{\gamma\delta}\right] where...
  47. A

    Torque and viscosity relations, fluid mechanics

    A uniform film of oil 0.13 mm thick separates two circular discs, each 150 mm diameter and mounted coaxially. Find the torque required to rotate one disc relative to the other at a steady speed of 400 rev/min if the oil has a viscosity of 0.14 Pa.s. (Ignore edge effects at the rim of the...
  48. J

    Novice in Recurrence Relations

    I am totally new to this area, and have some major trouble understanding how recurrence relations were derived from the problems, what to do and what's not. Really appreciate any guidance!For example: Give a Ternary String (containing only 0s, 1s, or 2s), we have to find out the recurrence...
  49. G

    Star variable relations. In need of further insight

    Are the absolute magnitude of stars relevant (calculated) with it's mass and rotational velocity? I understand that the mass of a star has a relation to it's size... regardless of this.. I need to know if mass and rotational velocity combined are used to determine anything for stars. Furthermore...
  50. E

    Quantum Temperature Relations?

    I was talking with a friend earlier today about the idea that at absolute zero, particles essentially stop moving. I know that this makes sense since temperature is defined as average kinetic energy, which, if this equals 0, implies no movement. That made me think, however, about the...
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