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.
Some books begin QM by postulating the Schrodinger equation, and arrive at the rest.
Some books begin QM by postulating the commutator relations, and arrive at the rest.
Which do you feel is more valid? Or are both equally valid? Is one more physical/mathematical than the other?
I...
We have a equivalence relation on [0,1] × [0,1] by letting (x_0, y_0) ~ (x_1, y_1) if and only if x_0 = x_1 > 0... then how do we show that X\ ~is not a Hausdorff space ?
Hi.
Let A = 1,2,3,4,5,6,7
How many symmetric relations on A contain exactly (a) four ordered pairs, (b) 5 , (c) seven and (d) eight
The book has solutions to the first two, which I didn't understand at all.
Please look the pic below
Can someone guide me through how to approach the problem...
Homework Statement
Homework Equations
We're using generating functions, and recurrence relations of homogeneous and non-homogeneous types
The mark allocation is 2, 3, 3 and 2
The Attempt at a Solution
I think I've done the first part correctly. The closed form is in terms...
We're using generating functions, and recurrence relations of homogeneous and non-homogeneous types
The mark allocation is 2, 3, 3 and 2
The Attempt at a Solution
I think I've done the first part correctly. The closed form is in terms of z, right? I get:
F(z) = z / (1 - z - z2)...
A={1,3,5}
B={4,6,8,10}
The set AXB that we have been using had 4096 subsets. Why? Can you find a general procedure for calculating the number of possible relations where there are k ordered pairs available?
I don't know how to calculate how many relations there are? The only information I...
x,y,z\in\mathbb{R}
x\sim y iff. x-y\in\mathbb{Q}
Prove this is an equivalence relation.
Reflexive:
a\sim a
a-a=0; however, does 0\in\mathbb{Q}? I was under the impression
0\notin\mathbb{Q}
Symmetric:
a\sim b, then b\sim a
Since a,b\sim\mathbb{Q}, then a and b can expressed as...
1) Recall that an equivalence relation S on set R ( R being the reals) is a subset of R x R such that
(a) For every x belonging to R (x,x) belongs to S
(b) If (x,y) belongs to S, then (y,x) belongs to S
(c) If (x,y) belongs to S and (y,z) belongs to S then (x,z) belongs to S
What is the...
Homework Statement
Starting from one of the more familiar Heisenberg Uncertainty Relations, derive the Uncertainty Relation involving angular momentum and angular displacement and explain its significance.
Homework Equations
The relevant uncertainty relationship is that between...
I am having trouble understanding a basic problem in fluids that came up during an exam I took last quarter. Namely, we are given a dispersion relation and asked to quantify how a one dimensional surface disturbance propagates in space. (The disturbance is initially an approximate delta function...
I am aware that the commutation relation between conjugate variables shows that one quantity is the Fourier transform of the other, and so to imply the Heisenberg Uncertainty condition. So for example, the commutation relation between x, p (position and momentum respectively) leads to a non-zero...
Homework Statement
Suppose r and s are two positive real numbers. Let Dr and Ds be defined as in part 3 of Example 4.3.1. What is D_r \circ D_s? Justify your answer with a proof. (Hint: In your proof, you may find it helpful to use the triangle inequality.)
Homework Equations
Example 4.3.1...
Hi guys,
I'm looking for some references where dispersion relations, say for photons, are explicitely written out in a generic medium. In other words, the dispersion relation for particles not propagating in the vacuum is a different one than the standard vacuum one E^2 = p^2 + m^2 and I'm...
Hello,
I am looking for a formal way to represent an n-ary relation as a combination of binary relations and logical connectives.
Suppose we have a set A, a set B = \{b: b\subseteq A^2\} of binary relations over A, and a set of logical connectives C = \{\neg, \wedge, \vee\}.
We define a set...
Homework Statement
I have got myself very confused about equivalence relations. I have to determine whether certain relations R are equivalence relations (and if they are describe the partition into equivalence classes, but I'll worry about that once I understand the first part).
Here are...
Homework Statement
I need a little help in understand this question:
Let E and F be two sets, R a binary relation on the set E and S a binary relation on the set F. We define a binary relation, denoted RxS, on the set ExF in the following way ("coordinate- wise"):
(a,b) (RxS) (c,d) <-->...
Hey!
Hoping you guys could help me with a small issue. No matter how hard I try, I don't seem to fully understand the notion of an equivalence relation, and henceforth an equivalence class. What I do understand that, in order to have and equivalence relation, it is defined to satisfy three...
I wasn't sure whether to post this in the algebra forum or here, but it seems that this is more of a logic question so I'm going with here. I am trying to understand whether there is a difference between the following two definitions of an equivalence relation:
Definition 1: A binary relation...
Heisenberg's uncertainty relations are not covariant under Lorentz transformation. That means they don't have the same form in any inertial frame.
So, how to modify these relations to leave them invariant in form under a Lorentz transformation ?
Homework Statement
List all the functions from {1,2,3} to {1,2} representing each function as an arrow
diagram. Which of these functions are (a) injective, (b) surjective, (c) bijective? For
each surjective function write down a right inverse.
Homework Equations
The Attempt at a...
First of all, hello :)
I'd like to request some aid concerning a problem that is really getting to me. I know it should be simple but I'm not getting the right results.
Homework Statement
Given that V^{\mu} is a Killing vector, prove that:
V^{\mu;\lambda}_{;\lambda} +...
Hi, I am in grade 10 and for my final project, I am writing a report on hydrogen cars. We need to relate hydrogen cars to chemistry, ecology, climate change, and light and geometric optics.
Can someone tell me how hydrogen powered cars relate to each of these? I am really unsure and need...
1. R on the set (the reals) defined by xRy iff (x < 0) or (x > or equal to 0 and x = y)
2. None
3.
Reflexive - Yes, since no matter what x I choose, x will always be equal to x, and will therefore fit the conditions of the relation.
Symmetric - It is symmetric because if I...
1. The question is: P on the set, A, of all people, where xPy means x is a parent of y.
Homework Equations - None
3. Attempts at a Solution Here is where I am confused. Reflexivity is defined by aRa. So I am unclear what to do with more than one variable. So in this question, do I...
I have a question about a confusing section of the NESC (not that many sections are not confusing, but this is my current issue).
Section 220.B.2.b reads as follows
That the supply circuits be placed on the end and adjacent pins of the lowest through signal
support arm and that a 750 mm (30...
Homework Statement
Problem 9.7(a) of Goldstein, 3rd edition: If each of the four types of generating functions exists for a given canonical transformation, use the Legendre transformations to derive the relations between them.
Homework Equations
F = F1(q,Q,t)
p = partial(F1)/partial(q)
P =...
Why is there a difference when calculating pressure temperature and volume using the combined gas law, or when using adiabatic relations? As an idiot I am very confused. Why must I use a very similar equation to calculate the final temperature of an ideal gas but resulting in very different...
Hello,
There are no incertitude relations in QFT. On the other hand, these incertainty relations do exist in non-relativistic QM. How can we reconcile these two facts ? Is it possible to "derive" uncertainty relations from QFT by "taking the non-relativistic limit" ?
Thanks !
Homework Statement
T is a binary relation defined on A = {0, 1, 2, 3}.
Let T = {(0,2), (1,0), (2,3), (3,1)}
Find T^t, the transitive closure of T.The Attempt at a Solution
I'm going to skip using commas cause it takes to long
02 23 = 03
31 10 = 30
23 31 = 21
10 02 = 12
12 23 = 13
02 21 = 01...
This is a question from A consise introduction to pure mathematics (Martin Liebeck)
Hi guys, just stuck on one problem was wondering if someone could lend me hand.
Let ~ be an equivalence relation on all intergers with the property that for all "m" is an element of the set of intergers ...
Homework Statement
This isn't really the problem, but figuring this out will probably help me with the rest of the problem. I want to know what [\gamma^0, L_x] is.
Homework Equations
I know the commutation (or rather anticommutation) relations between the gamma matricies, and I know the...
This is a question from A consise introduction to pure mathematics (Martin Liebeck)
Hi guys, just stuck on one problem was wondering if someone could lend me hand.
Let ~ be an equivalence relation on all intergers with the property that for all "m" is an element of the set of intergers ...
Homework Statement
I'm totally lost about this. I know the properties of binary relations (or at least I think I know them, what it means to be transitive, complete etc).
This exercise asks me to show that P and I are strictly partial and equivalent respectively when P and I are defined...
I'm having a course in advanced quantum mechanics, and we're using the book by Sakurai. In his definition of angular momentum he argues from what the classical generator of angular momentum is, and such he defines the generator for infitesimal rotations as...
Homework Statement
Let \psi(\vec{r},t) be the wavefunction for a free particle of mass m obeying Schrodinger equation with V=0 in 3 dimensions. At t=0, the particle is in a known initial state \psi_0(\vec{r}). Using Ehrenfest's theorem, show that the expectation value <x^2> in the state...
My question goes like this:
Did the inflation following the Bing Bang caused matter to emerge as it is in our universe? In other words, was it the inflation itself that gave matter - electrons, neutrons and protons - its properties (physical size, quantums, velocity, mass), or perhaps the two...
Given an element (6, 5, 4) of S (that is {(6, 5, 4)} is a subset of S); assuming S is a relation, how exactly do we donate the relations between the elements of the 3-tuple formed in this case; the relation can be of 3 sorts (in a 3-tuple) -
6S5
6S4
5S4
Out of these 3 how many relations...
Statement:
Prove or Disprove: A relation ~ on a nonempty set A which is symmetric and transitive must also be reflexive.
Ideas:
If our relation ~ is transitive, then we know: a~b, and b~a \Rightarrow a~a.
Therefore our relation ~ is reflexive, since b~c and c~b \Rightarrow b~b, and c~a...
Hello!
I'm a bit lost on these questions pertaining to equivalence relations/classes. If someone could run me through either, or both, of these questions, I'd be very thankful! I'm completely lost as to what to do with the z in terms of set S...
Homework Statement
Show that the given...
if
\mu = cos(\theta) and \mu_{0} = cos(\theta_{0})
and
cos(\pi - \Theta) = \mu_{0}\mu + \sqrt{1-\mu_{0}^{2}}\sqrt{1-\mu^{2}}cos(\phi)
Then
cos(\pi - \Theta) = cos(\theta_{0})cos(\theta) + sin(\theta_{0})sin(\theta)cos(\phi)
Is this not correct?
Hi,
I would like to know if you guys know a good book on sets groups and relations, preferably with lots of exercises. I believe that I am on a beginner level, but I already know all basic concepts, so the text is not that important. It would be even better if it is available online hehe!
Thks!
One of the outstanding questions I have in physics relates to scaling relations.
Say you're presented with a problem like: Find X--which has units of y--given that the relevant (dimensional) quantities of this problem are A, B, C, and D. Then you construct a solution using these quantities...
Homework Statement
I'm working through a bit of group theory (specifically SU(2) commutation relations). I have a question a bout symmetries in the SU(2) group. It's something I'm trying to work through in my lecture notes for particle physics, but it's a bit of a mathsy question so I thought...
A relation R on R^2 is defined by (x_{1},y_{1})\mathit{R}(x_{2},y_{2})\;\;\;if\;\;\;x_{1}^{2}+y_{1}^{2}=x_{2}^{2}+y_{2}^{2}
How do you show that R is an equivalance relation?
Hello :smile:
I was wondering if I could get some help with work on Binary Relations. We've done very little of this in class, and hours of Googling has provided little help.
So I was hoping that someone could look over my attempts at the questions and let me know if I've gone wrong...
There must something wrong with my understanding of this relations because I think the usual way they are derived in many textbooks makes no sense. It goes like this, first assume that to every rotation O(a) in euclidean space there exists a rotation operator R(a) in Hilbert space,second: the...
Hi all..
I've been seeing the famous equation which 'converts' horsepower into torque: HP = Torque (lb/ft) * rpm / 5252. The 1/5252 comes from 2*PI/33,000.
Power (rotational) is simply torque * angular velocity, isn't it? When I try to plot the imperial version, I get the typical graph with HP...
In pipe flow of a viscous fluid, what happens to the head lost due to friction and "minor losses" (pipe bends, valves, etc).?I mean, if you decrease the dynamic pressure by reducing flow velocity, then the static pressure increases. If the dynamic pressure increases then the static pressure...