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.
Hi,
I have a transitive relation and wana build a complete set of pairs that reflect all (direct/indirect) relations among the pairs.
Ex.: suppose I have this relation R = { (1,2), (2,3), (3,5), (5,7), (3,4) }
I wana to produce this relation R oper R = { (1,2), (1,3), (1,4), (1,5)...
I'm having trouble with the following:
Let R be a relation on A. Prove that if Dom(R) \bigcap Range(R) = ø, then R is transitive.
I took the negation of the "R is transitive" to try proof by contrapositive (as the professor suggested), and have the following:
\exists x,y,z \in A s.t. (x,y)...
Homework Statement
This is a question from an upper level econ course that is giving me quite a bit of trouble. Fluency in linear algebra is assumed for the course. I'm taking a linear algebra course for the first time this semester so I'm still scrambling to learn the basics. If anyone has a...
Hi all,
I am wandering if I can apply the Kramers-Kronig (KK) relations to the complex wavenumber k(ω) = k'(ω) + i k"(ω). I have a measurement that easily gives me k'(ω) for a certain range of frequencies, but where k"(ω) is unreliable. I would like to use KK to find k" from k'.
According...
If f(x)= 2x+5, g(x)=0.5 and h(x)=3-1
find:
fg(x), gf(x), fh(3)
fg(x)
fg(x)= 2(0.5x)+5
fg(x)= x+5
gf(x)= 0.5(2x+5)
= x+2.5
fh(3)
fh (x) =2(3-1)+5
= 6-2+5
= 4+5
this last part of the question been puzzling me... could I get a little...
Homework Statement
Show that if a set has 3 elements, then we can find 8 relations on A that all have the same symmetric closure.
Homework Equations
Symmetric closure ##R^* = R \cup R^{-1} ##
The Attempt at a Solution
If the symmetric closures of n relations are the same then...
Homework Statement
I've actually got a couple questions, I'll provide an example for each question, but I'm not really looking for an answer to the example, but an explanation of the concept. I have very little to go on from class notes. We've had some inclement weather in these parts leading...
Hey everyone, I have three problems that I'm working on that are review questions for my Math Final.
Homework Statement
First Question: Determine if R is an equivalence relation: R = {(x,y) \in Z x Z | x - y =5}
and find the equivalence classes.
Is Z | R a partition?
Homework...
Hi.
I studied calculus a while back but am far from a math god. I have been reading around online about hyperbolic geometry in my spare time and had a simple question about the topic.
If a straight line in Euclidean geometry is a hyperbola in the hyperbolic plane (do I have that right?)...
I am reading Apostol's section on Riemann-Stieltjes integral and I have doubts on one statement:
Let ##α## be a function of bounded variation on ##[a,b]## and suppose ##f \in R(α)## on ##[a,b]##. We define ##F## as ##F(x)=\int_a^x f(x)dα## if ##x \in [a,b]##, then ##F## is a function of...
Hi guys, why does the following mean B is unitary?
if we have two rotations such that;
b1 = B11a1 + B12a2
b2 = B21a1 + B22a2
and the following commutator results are;
[b1, b1(dagger)] = |B11|^2 + |B12|^2 --> 1
[b2, b2(dagger)] = |B21|^2 + |B22|^2 --> 1
[b1, b2(dagger)] =...
I'm currently reading the section on relations in Velleman's "How to prove it" and I have found a statement somewhere that I want to prove, but I'm not sure whether what I have come up with is reasonable and I also have some questions on the logic used in these type of proofs.
The theorem is...
Homework Statement
Whats up guys!
I've got this question typed up in Word cos I reckon its faster:
http://imageshack.com/a/img5/2286/br30.jpg
Homework Equations
I don't know of any
The Attempt at a Solution
I don't know where to start! can u guys help me out please?
Thanks!
Homework Statement
True or False: Given that A = {a,b,c} and B={0,1,2,3,4}, there are 32768 binary relations from A to B
I assume there is some simple way to tell how many relations there are given two different sets, but I don't know it. Factorials? Powers? I'm not sure what.
Homework Statement
For the SHO, find these commutators to their simplest form:
[a_{-}, a_{-}a_{+}]
[a_{+},a_{-}a_{+}]
[x,H]
[p,H]
Homework Equations
The Attempt at a Solution
I though this would be an easy problem but I am stuck on the first two parts. Here's what I did at first...
Consider the following commutator for the product of the creation/annihilation operators;
[A*,A] = (2m(h/2∏)ω)^1 [mωx - ip, mωx + ip] = (2m(h/2∏)ω)^1 {m^2ω^2 [x,x] + imω ([x,p] - [p,x]) + [p,p]}
Since we have the identity;
[x,p] = -[p,x]
can one assume that..
[x,p] - [p,x] =...
Hey everyone
Let's say I have two generators, a and b, with the following relations:
a^{5}=b^{2}=E
bab^{-1}=a^{-1};
Where E is the Identity element.
What I've done so far is this - the number of elements of the group is the product of the exponents of both generators, which is 10...
Abstract Algebra: Relations; Find a relation that is symmetric, etc
Homework Statement
Find a relation that is symmetric and transitive but not reflexive.
Homework Equations
None, other than my chosen condition on the relation, namely: xy > |x + y|.
The Attempt at a Solution...
I am a bit confused about a question on proving partial order relation. here is the question and what i done so far.
"define the relation '≤' on a boolean algebra B by
for all x,yεB x≤y if and only if xVy=y, show that '≤' is a partial order relation"
first of all what exactly does...
Hi
Say I have a finite data set (frequency, absorption) and I would like to find the corresponding dispersion. For this I could use the Kramers-Kronig (KK) relation on the absorption data. What I would do is to make a qubic spline and then perform the KK-transformation.
However, the absorption...
I'm having copious amounts of trouble with this question and an amount of help would really be appreciated.
Let S be the relation on the set of real numbers defined by
x S y iff x-y is an integer
1. prove that S is an equivalence...
I'm trying to understand the transformation relations for 2d stress and the book doesn't show the derivation of the 2d stress transformation relations from the directional cosines. The 2d stress transformation relations are found by using the transformation equation and the 2d directional...
If {{a,b},{c}} is the partition of {a,b,c}. When finding the equivalence relation used to generate a partition, is it enough to say {a,b}x{a,b} U {c}x{c}?
Thanks
Andy
Homework Statement
Prove the following properties of relations:
1) If R is asymmetric then it's antisymmetric.
2) If R is asymmetric then it's irreflexive.
3) If R is irreflexive and transitive then it's asymmetric.
The Attempt at a Solution
1)
If R is asymmetric on a set X, then for all...
I have been asked to prove the following limit relations.
(a) lim(as x goes to infinity) (b^x-1)/x = log(b)
(b) lim log(1+x)/x = 1
(c) lim (1+x)^(1/x) = e
(d) lim (1+x/n)^n =e^x
Unfortunately, I really have no idea where to start. We have a theorem that says if f(x)=the sum of (c...
The following are Maxwell's Relations right?
\left(\frac{\partial s}{\partial v}\right)_{T} = \left(\frac{\partial p}{\partial T}\right)_{v}
\left(\frac{\partial s}{\partial p}\right)_{T} = - \left(\frac{\partial v}{\partial T}\right)_{p}
Are these all? And BTW, these are derived from the...
Homework Statement
I need help with asymptotic relations of the equation below
x=f(y) with f(y)=0
I not know how to address the problem
Homework Equations
σzz={β3∇4h(x,y) if x<f(y)
0 if x>f(y)...
need help on this ..any suggestions are highly appreciatedConsider the set of positive rational numbers Q+ . Consider the relation r defined by
(x,y) ∈ r<=> x/y ∈ Z. Show that r is a partial order and determine all numbers greater than 1/2.
Homework Statement
Show that there exists a group of order 21 having two generators s and t for which s^3 = I and sts^{-1} = t^2. Do this exercise by constructing the graph of the group.Homework Equations
Based on the given relations, we have t^7 = I.The Attempt at a Solution
Since ##s## and...
Homework Statement
Verify ##\left[ x^{i} , p_{k}\right] = i \hbar \delta^{i}_{k}##
Homework Equations
## p_{j} = -i \hbar \partial_{j}##
The Attempt at a Solution
Writing it out i get
$$ i \hbar \left( \partial_{k} x^{j} - x^{j} \partial_{k} \right)$$
The Kronecker makes perfect sense, it's...
Helloo!
I have to solve the following recurrence relations:
(a) T(n)=sqrt(2)*T(n/2)+lgn
(b) T(n)=3*T(n/4)+nlgn
(c) T(n) 3*T(n/3)+n/2
(d) T(n)=5*T(n/2)+Θ(n)
(e) T(n)=9*T(n/3)+O(n^2)
Could you tell me if my results are right?
Using the master theorem I found:
(a)T(n)=Θ(sqrt(n))
(b)T(n)=Θ(nlgn)...
Being that anything accelerated to the speed of light gains infinite mass and will require infinite energy thus providing a barrier to achieving the speed of light but wouldn't the fuel source become infinite and in turn the potential for energy become infinite effectively canceling out this...
Homework Statement
I want to compose the relation "equality" with the relation "less than" in the form:
equal o less than.
Homework Equations
The Attempt at a Solution
Firstly I determine the y in (x,y) such that this is true. Graphically, it is just the values less below y=x...
\forall b\in Z b \equiv 1 (mod 2) \Rightarrow b^{2} \equiv 1 (mod 8)
How do I go about proving this? Can the Chinese Remainder Theorem be used to prove this or is there something easier?
Q
If cos(alpha)=-sqrt3/5 and alpha is in the third quadrant, find exact values for sin(alpha) and tan(alpha).
A. Well what I did was use the pythagorean theorem so (-sqrt3)^2+(opposite)^2=5^2. then in the end I got sqrt22 for opposite so then sin(alpha)=sqrt22/5 and tan alpha =sqrt22/-sqrt3...
Hello everyone,
I am currently reading 'Geometrical Methods of Mathematical Physics' by Bernard Schutz and I have some questions about manifolds. I'm fairly new to Differential Geometry so bear with me!
On P33 he states that 'manifolds need have no distance relation between points, we...
Hello,
I am looking at a problem concerning flow through a converging-diverging nozzle. The governing equations are relatively straight-forward for gasses that closely follow the ideal gas law. However I am looking at an unusual gas which is certainly not represented by the ideal gas...
Here is the question:
Here is a link to the question:
Discrete Mathematics Question? - Yahoo! Answers
I have posted a link there to this topic so the OP may find my response.
Homework Statement
If \phi : S \to T is a semigroup morphism then show that if a\; \mathcal{R} \;b in S then a\phi \; \mathcal{R} \; b\phi in T.
Homework Equations
Recall that if S is a semigroup then for a\in S aS = \{as : s \in S \}\text{,}\;\;\;aS^1 = aS \cup \{a\}\text{.} The...
Hey,
I'm not exactly sure how much this question wants, however the two in question are parts a) and b) below.
So part a) asks to write the expression for the total angular momentum J, I though this was just:
\hat{J}=\hat{J}^{(1)}+\hat{J}^{(2)}
but when we come to showing it...
The context of this question is looking at straggling in plasma. I was told there was a simple differential geometry relationship between the following entities:
dE/dx, dE/dy and dE/dt,
where x,y are distance in perpendicular directions (axes on a plane), t is time and I'm using E to...
Hello everyone i bought a kit for my senior project on electromagnetic levitation. It uses an electromagnet to suspend a magnet via force of attraction. It is stable because of two hall effect sensors and voltage regulator. The kit can make the magnet move in a sinusoidal and tangential motion...
Homework Statement
The question is let E1 and E2 be equivalence relations on set X. A new relation R is defined as the E1 o E2, the composition of the two relations. We must prove or disprove that R is an equivalence relation.Homework Equations
The Attempt at a Solution
I know that we must...
Hello. I'm having a hard time solving this homework question, even though I know I shouldn't... but well.
Here's the problem :
-The K switch is closed for a long time, so as to be in a steady state.
What's the electric charge of the capacitor ? Infer vs tension from this.
Which...
Show that if R1 and R2 are equivalence relations on a set X, then R1 is a subset of R2 iff every R2-class is the union of R1 classes.
Attempt: I don't understand that if R2 has elements nothing to do with the elements of R1, how can an R2 class be a union of those elements belonging to an R1...