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.
Homework Statement
If R and S are two equivalence relations on the same set A, we define R ◦ S =
{(x, z ) ∈ A × A : there exists y ∈ A such that (x, y) ∈ R and (y, z ) ∈ S }.
Show that the following conditions are equivalent:
(i) R ◦ S is a symmetric relation on A ;
(ii) R ◦ S is a...
Homework Statement
The dispersion relation for a plasma is given by
k^{2}=\frac{\omega^{2}}{c^{2}}(1-\frac{\omega^{2}_{p}}{\omega^{2}})\omega^{2}_{p}\:= \frac{Ne^{2}}{m_{e}\epsilon_{0}}
Where N is the electron density
During re enrty of a spacecraft there was a radio blackout of all...
Homework Statement
Is this relation symmetric?
The relation in a set of people, "is brother of"
Homework Equations
aRb , bRa
The Attempt at a Solution
The answer is not symmetric. They gave example says that
paul may be the bother of Anne but Anne is not the brother of paul...
Hello:
I am asked to find a recurrence relation for the number of n letter sequences composed of A, B, C where every A that is not in the last position is followed by a B.
So, would this be:
A| (we have A(n-2) sequences) + 0 if A is in the last position
B| we have A(n-1)
C| we have...
Homework Statement
In the following series':
http://image.cramster.com/answer-board/image/cramster-equation-2009410014306337491927047975008434.gif
According to my book, we only have a common range of summation here for n >= 2.
Therefore we need to treat n = 0 and n = 1 separately...
Homework Statement
Here are a few questions from an exercise sheet that I need help on. I really don't have a clue on how to start them. Could anyone help me attempt at each a) for each question?
1. Use (nested) quantifiers (∀ and ∃) (and propositional junctors) and only equality ``=''...
Homework Statement
Straight line segments are drawn from the fixed point P1(0,1) and P2(3,2) to the movable point P, with coordinates (x,0)on the positive x-axis.
Assuming that 0 ≤ x ≤ 3, show that the angle θ between the two line segments PP1 and PP2 is given by the relation:
θ=...
I was wondering- is it possible to derive an equation of motion for example, the Schrodinger equation from the uncertainty principle (in commutator form)?
i.e. Is it possible to derive the Schrodinger equation from the following:
\left[\hat{x},\hat{p}\right]=ih
I gave it a shot, but of...
Homework Statement
Hi I have justed switched to a new subject and have some question.
1) Show that if X is a topology space then there exist an equivalence relation if and only if there exist a connected subset which contains both x and y.
2) Show that the connected components are a...
Is there a general method for solving 2-index recurrence relations with constant coefficients? Here is one I would like to solve
a_{m,n} = \frac{xa_{m-1,n} + ya_{m,n-1} + 1}{x+y} for m,n > 0
with initial conditions
a_{m,0} = m/x and a_{0,n} = n/y.
Hoping for an analogy with...
Homework Statement
Let A = {a, b, c} be a set with 3 elements.
(a) How many binary relations are there on A?
(b) How many binary relations on A are reflexive?
(c) How many relations on A are symmetric?
(d) How many binary relations on A are both symmetric and reflexive?
Homework...
Homework Statement
x1,x2) are the components of a 2 dimensional vector r when referred to cartesian axes along the directions i,j. derive the relations
x1'= cosΘ x1+sinΘ x2
x2'=-sinΘ x1+cosΘ x2
for the components (x1',x2') or r referred to new axes i',j' obtained by a rotation of the axes...
Homework Statement
Verify that the relation x^2 + y^2 = 1 is a solution to the differential equation:
dy/dx = xy/(x^2 - 1)
Can anyone point me in the right direction on how to begin to solve this problem? Do I take integral of the DE and just plug into equation?
In every textbook about analytic mechanics, it will give the relation of time derivative of some variable between the space coordinate and body coordinate
\left(\dfrac{d\vec{v}}{dt}\right)_{space} = \left(\dfrac{d\vec{v}}{dt}\right)_{body} + \vec{\omega}\times\vec{v}
I don't really...
Can anyone help me with this?
Thank you very much
Given set A={m,b,f,a,s} and B={m,b,s}
a) Is {<m,s>, <b,m>, <f,m>, <a,b>} a function? Is it a relation or function from A to B, A to A, B to A, B to B or none of the above?
b) Is { } a function? Is it a relation or function from A to B, A...
Homework Statement
Find f(n) when n = 2^k, where f satisfies the recurrence realtion f(n) = f(n/2) +1 with f(1) = 1
Homework Equations
f(n) = a*f(n/b) + c
when n = b^k, where k is a positive integer,
f(n) = C1n^(log a base b) + C2
C1 = f(1) +c/( a-1) and C2 = -c/ (a-1)
keep in mind...
Hey guys.
Right, I have been studying the Maxwell thermodynaic relations. But I have come across entropy as
dS = (bS/bT)_P(dT) + (bS/bP)_T(dP)
where b is the partial differential symbol.
I don't understand where this comes from, which suggests S(T,P). I can't find a derivation of...
Mass is the product of density and volume.
Mass flow rate is the product density, velocity, and cross-sectional area. (It's the derivative of mass with respect to time.)
Bare with the syntax please...
Looking at a sphere within a larger sphere, the volume of the difference is...
What is an empty relation?
Can an empty relation be a function?
Is an empty relation one with the empty set as its domain or as its range or both?
THanks
Homework Statement
On set PxP, define (m,n)\approx(p,q) if m*q=p*n
Show that \approx is an equivalence relation on PxP and list three elements in equivalence class for (1,2)
Homework Equations
The Attempt at a Solution
I will appreciate any help how to start this problem...
Almost all the explanations of quantum cryptography I've come across simply say that the encryption is "protected by the Heisenberg uncertainty principle". I'm having a little difficulty getting any more detail than that without getting way out of my depth (I'm only an A-level student!). Does...
Homework Statement
http://img510.imageshack.us/img510/5505/systemet4.jpg
What I wish to do is to relate the accelerations of the loop an the massive block. I know the angle theta at any instant. I also know that the acceleration of the loop on the fixed support is a. I have been given no...
Homework Statement
Find relations that satisfying
just Reflexive
just Symmrtic
just Transitive
(R) & (S), but not (T)
(R) & (T), but not (S)
(S) & (T), but not (R)
Homework Equations
S=Z
(a,b) \inR if <=> a>b (T) but, not (S) & (R).
the ex is given in the class, but...
Homework Statement
question 1: Define ~ on Z by a ~ b if and only if 3a + b is multiple of 4.
question 2: Let A = {1,2,3,4,5,6} and let S = P(A) (the power set of A). For a,b \in S define a ~ b if a and b have the same number of elements. Prove that ~ defines an equivalence...
Homework Statement
Homework Equations
[PLAIN]http://upload.wikimedia.org/math/7/7/4/7745116605c54295c6c3b696cea2d39f.png[/URL]
The Attempt at a Solution
I have gotten these problems wrong too many times. I know that I have to apply both the conservations of momentum and kinetic energy, but...
Find Generators and relations analogous to (2.13) for the Klein four group.?
(2.13) i^4=1, i^2=j^2, ji=(i^3)j.
(a) Find Generators and relations analogous to (2.13) for the Klein four group.
(b) Find all subgroups of the Klein four group.
Please show steps! Thank you.
Suppose X, Y, Z are sets. If X ~ Y and Y ~ Z, prove that X ~ Z.
My work on the proof so far is:
Suppose X, Y, Z are sets. Let X ~ Y and Y ~ Z. By equivalence, there are functions f and g such that f: X → Y where f is 1-1 and onto, and g: Y → Z where g is 1-1 and onto.
So now I have to...
Homework Statement
There's this one exam problem that I cannot solve... Here it goes:
Consider the set Z x Z+. Let R be the relation defined by the following:
for (a,b) and (c,d) in ZxZ+, (a,b) R (c,d) if and only if ad = bc, where ab is the product of the two numbers a and b.
a) Prove that...
Homework Statement
The dihedral group D2n has elements e, x, x2, ..., xn-1, y, xy, x2y, ..., xn-1y and relations xn=e, y2=e (where e is identity) and yx=xn-1y
(a) Show that D2n={ elements listed above} i.e. show that these elements are distinct
(b) Show that xy=yxn-1
(c) Is there an...
Show that: \left(\frac{\partial z}{\partial y}\right)_{u} = \left(\frac{\partial z}{\partial x}\right)_{y} \left[ \left(\frac{\partial x}{\partial y}\right)_{u} - \left(\frac{\partial x}{\partial y}\right)_{z} \right]
I have Euler's chain rule and "the splitter." Also the property...
The system is given in the picture. I want to know the relation between the acclerations of each block.
My attempt:
suppose if the body in the middle moves up by x. the string will get loose by 2x. therefore, if a1, a2, a3 are the acclerations. -2*a2=a1+a3
am i correct?
if tachyons existes, does they obey the transfomation relations similary to the relations of special relativity?
that we see in discussitions about tachyons , usually relations are same by a difference in compelexility of mass and charge .
but the velocity in denominator is same, here the...
I have a question...
"Is the quotient set of a set S relative to a equivalence relation on S a subset of S?"
I suppose "no",since the each member of the quotient set is a subset of S and consequently it is a subset of the power set of S,but I have e book saying that "yes",I am a bit...
[SOLVED] viete's relations problem
Homework Statement
The zeros of the polynomial P(x) = x^3 -10x+11 are u,v,and w. Determine the value of arctan u +arctan v+ arctan w.Homework Equations
http://en.wikipedia.org/wiki/Vi%C3%A8te%27s_formulas
The Attempt at a Solution
I must admit I have no idea...
Hi there,...
For a derivation of the Ehrenfestequations i found the following commutator relations for the Hamilton-Operator in a book:
H = \frac{p_{op}^2}{2m} + V(r,t)
and the momentum-operator p_{op} = - i \hbar \nabla respectively the position-operator r in position space:
[H,p_{op}]...
[SOLVED] Viete relations problem
Homework Statement
Find all real numbers r for which there is at least one triple (x,y,z) of nonzero real numbers such that
x^2 y + yz^2 + z^2 x = xy^2 + yz^2 + zx^2 = rxyzHomework Equations
http://en.wikipedia.org/wiki/Vi%C3%A8te%27s_formulasThe Attempt at...
Hello,
I was hoping someone could help point me in the right direction. I am trying to figure out how to solve recurrence relations using Mathematica (6). I have tried to search the web for information on how to use the recurrence relation solving package but I must be doing something wrong...
Homework Statement We are working on some problems for class and we are given statements which I accept as valid but don't know how to prove they are valid. I believe I have to utilize the maxwell relations but the terms seem unfamiliar to me.Homework Equations
(1)
Partial
(d^2f / ds^2)_T = T /...
Homework Statement
(proof) Determine whether or not (x,y)~(w,z) if and only if y=w is an equivalence relation. If it is, then describe the associated partition.
Homework Equations
The Attempt at a Solution
Let x be an element of the reals. It is known that a relation on a set X...
Homework Statement
A.) Jon wants to define a function f: A->B as invertible iff for all a in A and all b in B with f(a)=b, there exists a function g:B->A for which g(b)=a.
Is that reasonable?
B.) Determine Whether the relation ~ on the Real Numbers defined by x~y is reflexive, symmetric...
[SOLVED] Recurrence Relations
Homework Statement
I need to express this recursive statement as a nonrecursive formula, using the technique of itteration.
a_n = (n+1)a_{n-1}
a_0 = 2
The Attempt at a Solution
a_n = (n+1)a_{n-1}
a_n = (n+1)(n+1)a_{n-2} = (n+1)^{2}a_{n-2}
a_n =...
Hi all.
Why Reynolds Analogy and other empirical relations always overesimate heat transfer?
I have done an experiment on turbulent pipe flow (smooth pipe) and I used Reynold Analogy (both the simple (Pr=1) and the modified one) and the Dittus-Boetler correlation equation to do the...
Maxwell relations with heat capacity. Solved.
1. Homework Statement
Use the Maxwell relations and the Euler chain relation to express (ds/dt)p in terms of the heat capacity Cv = (du/dt)v. The expansion coefficient alpha = 1/v (dv/dt)p, and the isothermal compressibility Kt = -1/v (dV/dp)T...
Homework Statement
Use the Maxwell relations and the Euler chain relation to express (ds/dt)p in terms of the heat capacity Cv = (du/dt)v. The expansion coefficient alpha = 1/v (dv/dt)p, and the isothermal compressibility Kt = -1/v (dV/dp)T. Hint. Assume that S= S(p,V)
Homework Equations...
Given the Hamiltonian H = \vec{\alpha} \cdot \vec{p} c + \beta mc^2,
How should one interpret the commutator [\vec{x}, H] which is supposedly related to the velocity of the Dirac particle? \vec{x} is a 3-vector whereas H is a vector so how do we commute them. Is some sort of tensor product in...
Homework Statement
Let S be the set of integers. If a,b\in S, define aRb if ab\geq0. Is R an equivalence relation on S?
Homework Equations
The Attempt at a Solution
Def: aRb=bRa \rightarrow ab=ba
assume that aRb and bRc \Rightarrow aRc
a=b and b=c
since a=b, the substitute a...