What is Relations: Definition and 579 Discussions

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. N

    Sets and Relations - quick one

    If A is the set of even integers and B the set of integers which are multiples of 3, describe the set (AUB) - (AnB) ? Basically the answer only requires words, no Venn diagram or the lot. So I just put in words ... it's the set which comprises of the even integers OR the odd integer which...
  2. N

    Sets and Relations (just needs checking please)

    MY WORK FOLLOWS BELOW THE QUESTIONS Let AxB be the set of ordered pairs (a,b) where a and b belong to the set of natural numbers N. A relation p: AxB ----> AxB is defined by: (a,b)p(c,d) <-----> a+d = b+c As p is an equivalence relation there are associated equivalence classes. (iv)...
  3. N

    Just needs checking please (Sets and Relations)

    MY WORK FOLLOWS BELOW THE QUESTIONS Let AxB be the set of ordered pairs (a,b) where a and b belong to the set of natural numbers N. A relation p: AxB ----> AxB is defined by: (a,b)p(c,d) <-----> a+d = b+c As p is an equivalence relation there are associated equivalence classes. (iv)...
  4. R

    Linear Transformations: Proving Linearity and Finding Inverse Functions

    "Determine whether each of the following functions is a linear transformation. If you think the function is a linear transformation then prove that it is. If you think the function is not a linear transformation then explain why. (a) T : R2 ! R2; T(x, y) = (x − 2y, 2xy)." I don't want an...
  5. N

    Proving Equivalence Relations: Intersection of Two Sets

    Hi All I have a problem with Set theory. I am given to prove the following; Is the intersection of two equivalence relations itself an equivalance relation? If so , how would you characterize the equivalnce sets of the intersection? Regards, Nisha.
  6. B

    Thermodynamic Work Relations

    I was wondering if anyone knows where i can find the work relations for an ideal gas including isometric, isothermal, polytropic, isobaric, etc.
  7. P

    Proving Q is Transitive in Mendelson's Topology

    Hey everyone, I'm working through the first chapter of Mendelson's Topology right now and ran into this question: Let P be a subset of real numbers R such that i) 1 is in P, 2) if a,b are in P then a+b are in P, and 3) for each x in R, either x is in P, x=0, or -x is in P. Define Q=...
  8. N

    News EU-US Relations: Past, Present and Future

    I originally concieved this idea whilst thinking of the UK support of Iraq war - I believe it is completely justified - although when speaking to others I was having to think of counter arguments to 'justify' the conflict and i began to think about EU/US relations and the possible effect a...
  9. M

    Commutation (Ehrenfest?) relations

    I'm following a derivation (p85 of Symmetry Principles in Quantum Physics by Fonda & Ghirardi, for anyone who has it) in which the following assertion is made: "...we have \left[\mathcal{G}_p,\mathbf{r}_i\right] &=& \mathbf{v}_0t\mathcal{G}_p, \left[\mathcal{G}_r,\mathbf{p}_i\right] &=&...
  10. C

    News US-Isarel Alliance: A Closer Look at Interfaith Relations

    Isarel is made of Jews and US is made up of Christians but aren't Jews and Christians supposed to be enemies? How come the US and Isarel are so chummy?
  11. S

    Euler's relations & 'Epicycloids'

    The idea An epicycloid is a superimposed circle on another circle. http://www.math.dartmouth.edu/~dlittle/java/SpiroGraph/ can you find a java applet to show you. These epicycloids are tied to each other at their circumferences. But, what does change when using a slightly easier method, and...
  12. L

    Understanding Relations in Mathematics

    Not really understanding these concepts. Consider the following relation on the set of all circles in the xy plane: A ~ B if and only if the center of circle A is inside circle B. Is ~ reflexive? Is ~ symmetric? Is ~ antisymmetric? Is ~ transitive? Prove answers. Consider the...
  13. E

    Maxwell Relations (not equations)

    I just recently learned the Maxwell Relations in Thermodynamics. We aren't really doing anything with them, just went through the derivations. In deriving them, we started with the equation of state: TdS=dU+PdV where T is temperature, S entropy, U internal energy, P pressure, V volume. We...
  14. M

    How can I prove [(A^B)-(B^C)]-(A^C)'=0 using contradiction?

    I'm trying to prove the following by contradiction: [(A^B)-(B^C)]-(A^C)'=0. A, B, C are sets. All I know is in order to prove by contradiction you simply set the above not equal to zero. But I don't know where to go from there. "^" means the intersection symbol.
  15. C

    Proving Schwarz's Inequality for Proportional a's and b's

    Hello all Show that the equality signs in Schwarz's Inequality holds if, and only if, the a's and b's are proportional; that is; ca_{v} + db_{v} = 0 for all v's where c and d are independent of v and not both zero. How would I even begin this? I know Schwarz's Inequality is: (a_1b_1 +...
  16. E

    Dispersion relations question

    So here are my questions If z(w)= R + iw/c, then 1/z = 1/(R + iw/c) Where does 1/z have singularities? I mean, there doesn't appear to be a point where R= -iw/c since R is real and the other term is imaginary. And how do I show the Real and Imaginary parts of 1/z are related by...
  17. T

    Understanding Partial Order Relations and Their Definition on X={a,b,c,d,f}

    For some reason I am having a hard time dealing with partial order relations. The definition is what is killing me here. I have a digraph of a partial order relation and yet it does not appear to agree with the definition of partial order. I wish I could draw a picture of the digraph but since...
  18. D

    News American and Canadian Relations

    What are everyones thoughts on this issue? The Bush Administration wants to disallow Canadian perscription drugs to make American drug companies more profitable - or atleast "check" all Canadian drugs before they enter the States. Canada has a national health care system. Wouldn't it save...
  19. R

    Quadratic Relations 1st 2nd differences

    can someone help me a) for each set of data, calculate the first differences and identify the linear and nonlinear relations b) for the nonlinear relations determine the second differences and identify the quadratic relations 1) x 5 6 8 11 y -2 -3 -5 -8...
  20. N

    Recurrence relations and sequences

    Hi... 1. so can i say that a recurrence relation is a description of the operation(s) involved in a sequence...?... 2. is the formula for an arithmetic sequence, a recurrence relation...?... and is the formula for a geometric sequence, a recurrence relation...?...
  21. E

    2. Order Linear Inhomogenous Recurrence Relations with Constant Coefficients

    I need to show that the solution of a_n = c_1a_{n-1} + c_2a_{n-2} + f(n) (1) is of the form U_n = V_n + g(n) (2) where V_n is the solution of a 2. order linear homogenous recurrence relation with constant coefficients. Could I use the argument that if (2) is a solution...
  22. E

    Understanding the Relations between Welding Wires, Voltage and Metal Specifications

    May I Ask This Question ... Please ... There is many sizes of Arc Welding Wires ... ( 1.5 ) , ( 2 ) , ( 2.5 ) ... etc. On what depend exactly the use of each size ... ? There is also on the Welding Machines a Volatge Controller ... for increasing or decreasing the welding voltage ...
  23. R

    Quantum Mechanics Operator Commutation Relations

    Does anyone know of any tables that show the commutation relations of all QM opeartors? Any information would be appreciated.
  24. B

    How do you graph y=3x-2 and identify points on the graph without using a prefix?

    How do you... Draw the graph of y=3x-2 on the grid. Identify at least two points on the graph by their coordinate pairs. Anybody get that?? It's one of those x,y axis grid thingers. And there's a table under it with 8 columns and 2 rows. Kinda like...
  25. P

    Equivalance Relations Could some one check my work please?

    Question, List the members of the equivalance relation on {1,2,3,4,5} by the given partition. Identify the equivalance classes A) {(1,2,3),(4,5)} B) {(1),(2,4),(5,3)} My solution is; A) {(1,1),(1,2),(1,3),(2,2),(2,1),(2,3),(3,1),(3,2),(3,3),(4,4),(4,5),(5,4),(5,5)} B)...
  26. E

    Equivalence Relations question

    I am not exactly clear on what an equivalence relation. If A is a set, then a relation on A is a subset R. The relation R is an equivalence relation on A if it satisfies the reflexive property, symmetric property, and transitive property. What types of relations are we talking about. And when...
  27. W

    Ring Theory: Equivalence Relations

    Hello, I have a question regarding equivalence relations from my ring theory course. Question: Which of the following are equivalence relations? e) "is a subset of" (note that this is not a proper subset) for the set of sets S = {A,B,C...}. Example: A "is a subset of" B. Now...
  28. phoenixthoth

    Functions Satisfying the Given Relations

    what are all the functions f that satisfy the following relations that you can think of? \lim_{x\rightarrow \infty}\frac{f\left( x\right) }{2^{x}}=0 \lim_{x\rightarrow \infty}\frac{x^{n}}{f\left( x\right) }=0 for all n\in N.
  29. E

    News Addressing Illegal Immigration: Solutions Beyond Border Control

    *edited for violation of PF guidelines* What do the intelligent readers of PF think about Mexican-American relations. Let's face the fact. The real reason why Californians are ousting Gov. Davis is because of their views on how the termination of Proposition 187 affected the economy of...
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