UNIT is a fictional military organisation from the British science fiction television series Doctor Who and its spin-off series Torchwood and The Sarah Jane Adventures. Operating under the auspices of the United Nations and initially led by Brigadier Lethbridge-Stewart, its purpose is to investigate and combat paranormal and extraterrestrial threats to Earth. Several UNIT personnel (such as the Brigadier, Sergeant Benton and Mike Yates) played a major role in the original Doctor Who series, and it was a regular feature from The Invasion (1968) until The Seeds of Doom (1976).
Originally referred to as the United Nations Intelligence Taskforce, executive producer Russell T Davies said in 2005 that the UN was no longer happy to be associated with the fictional organisation and the UN's full name could now no longer be used. However, the "UNIT" and "UN" abbreviations could be used as long as it was not explained what the letters stood for. In 2008, he announced that the organisation's name had been changed to the Unified Intelligence Taskforce. This new name was first mentioned on-screen in "The Sontaran Stratagem", also in 2008, in which it was indicated in a line of dialogue that the United Nations still supports UNIT with funding.
Since the metric is euclidean in coordinates ##(ict,x)## it can be drawn in a plane, but if the metric is ##diag(1,-1)##, can both axis still be drawn in a plane ?
The system considers a torus that has a wire wrapped around it, through which a current flows. In this way, a field originates in the phi direction.
The direction of current is "theta" in the spherical coordinate system but in toroidal system, in several book shows that the electrical current...
Problem:
Prove that for any $x \in R^n$ and any $0<p<\infty$
$\int_{S^{n-1}} \rvert \xi \cdot x \rvert^p d\sigma(\xi) = \rvert x \rvert^p \int_{S^{n-1}} \rvert \xi_1 \rvert^p d\sigma(\xi)$,
where $\xi \cdot x = \xi_1 x_1 + ... + \xi_n x_n$ is the inner product in $R^n$.
Some thinking...
I...
Hi all,
I have a question which I think should be a simple solve for most people but I cannot seem to get my head around it.
It is a common case in geophysical surveying that a magnetic field vertical gradiometer might be used.
This instrument uses two magnetometers separated by a known...
I am simulating random angles from 0 to 2π with a uniform distribution. However, if I take the differences between random angles, I get a non-uniform (monotonically decreasing) distribution of angles.
In math speek:
Ai = uniform(0,2π)
dA = Ai - Aj
dA is not uniform.
Here is a rough image of...
Hello,
I get that both polar unit vectors, ##\hat{r}## and ##\hat{\theta}##, are unit vectors whose directions varies from point to point in the plane. In polar coordinates, the location of an arbitrary point ##P## on the plane is solely given in terms of one of the unit vector, the vector...
Homework Statement
Homework EquationsThe Attempt at a Solution
I have found expressions for the unit vectors for cylindrical coordinates in terms of unit vectors in rectangular coordinates.
I have also found the time derivatives of the unit vectors in cylindrical coordinates. However, I am...
Homework Statement
A 0.54 kg block of ice is sliding by you on a very slippery floor at 2.1 m/s. As it goes by, you give it a kick perpendicular to its path. Your foot is in contact with the ice block for 0.0034 seconds. The block eventually slides at an angle of 21 degrees from its original...
If I have a beam of protons that go into a block of water, how can I know how many photons will be produced along the beam path?. I'm assuming all the photons have the same energy.
I know that the energy deposition will follow a Bragg Curve, and I think that energy deposition is probably...
Homework Statement
During a heavy rain, a section of mountainside measuring 2.5 km horizontally, 0.80 km up along the slope, and 2.0 m deep slips into a valley in a mud slide. Assume that the mud ends up uniformly distributed over a surface area of the valley measuring 0.40km x 0.40km and that...
Homework Statement
Is N/m^2 a si unit
I know Newton is and meters
but togeather are there
or is m^2
Homework Equations
The Attempt at a Solution
N/m^2
m^2
Homework Statement
For one of my assignments I’ve been ask about the relationship between percent impedance and per unit impedance.
Homework EquationsThe Attempt at a Solution
I know that the x% is determined in transformers by short circuiting the secondary windings and slowly increasing the...
I know that spin is a type of intrinsic angular momentum.
For electron spin is (1/2)ħ . But unit of (1/2)ħ is J.s, which is not the unit of angular momentum. Can you please explain this discrepancy?
Homework Statement
You arrange your climate control system so that as it pumps heat out of the cabaret air and thereby chills and dries that air. Part of the heat your system removes from the cabaret air goes to the outdoor air and part goes back to the cabaret air. It turns out that delivering...
I am reading the book: "Vector Calculus, Linear Algebra and Differential Forms" (Fourth Edition) by John H Hubbard and Barbara Burke Hubbard.
I am currently focused on Section 3.1: Manifolds ...
I need some help in order to understand Example 3.1.3 ... ...
Example 3.1.3 reads as follows:In...
Homework Statement
Let ##S=\{a+bi+cj+dk \mid a,b,c,d \in \mathbb{Z}\}## be the ring of integral Hamiltonian quaternions, where multiplication is defined using the same rules as in ##\mathbb{H}##, the ring of real Hamiltonian quaternions. Define a function $$N:S\to\mathbb{Z}...
Hi, my name is alexander, i am student from Institute of radioprotection and dosimetry (IRD). My project is calculate MGD (mean glandular dose) from womans with augmented breast. i am having dificulties to calculate Kerma in air with mcnpx. I drew a block of air above the breast, i am using the...
Without a calculator, find all solutions w between 0 and 360, inclusive, providing diagrams that support your results.
1) cosW=sin20
2) sinW=cos(-10)
3) sinW< 0.5
4) 1<tanW
Homework Statement
Take ∂2E/∂t2 E(r,t)=E0cos((k(u^·r−ct)+φ) in which u^ is a unit vector.
Homework Equations
d/dx(cosx)=-sinx
The Attempt at a Solution
I had calc 3 four years ago and can't for the life of me remember how to differentiate the unit vector. I came up with...
I wrote the equations of the Nabla, the divergence, the curl, and the Laplacian operators in cylindrical coordinates ##(ρ,φ,z)##. I was wondering how to define the direction of the unit vector ##\hat{φ}##. Can we obtain ##\hat{φ}## by evaluating the cross-product of ##\hat{ρ}## and ##\hat{z}##...
When doing integration such as \int_{0}^{2\pi} \hat{\rho} d\phi which would give us 2\pi \hat{\rho} , must we decompose \hat{ρ} into sin(\phi) \hat{i} + cos(\phi) \hat{j} , then \int_{0}^{2\pi} (sin(\phi) \hat{i} + cos(\phi)\hat{j}) d\phi , which would give us 0 instead?
Thanks
Homework Statement
Givens:
An object with a mass of 2kg has a momentum of p=<-1,-2,3>. The first two questions asked for the magnitude of the momentum and the corresponding unit vector, which i found to be 3.74 and <-0.267,-0.535,0.802> respectively. The next question asks for the speed of the...
Hello! (Wave)
I want to solve the Laplace equation on the unit disk, with boundary data $u(\theta)=\cos{\theta}$ on the unit circle $\{ r=1, 0 \leq \theta<2 \pi\}$. I also want to prove that little oscillations of the above boundary data give little oscillations of the corresponding solution of...
Pick a random set of N points from the unit disc. Calculate the distance between all pairs of points and call the smallest value r. Do this calculation for many such sets. Please give me a hint how to estimate what the average value of r is. I guess a computer program could quickly come up with...
Hi I hope I'm not posting under the wrong forum but I'm pretty sure this is physics related.
If you go to have an X-ray, in the film there will be information detailing the dosage you just received. However I encountered a rather unusual one like this:
70kV 100mAs 100mS -- dGycm2 El_s:300
As...
Homework Statement
Hi there, I've been trying to gain some intuition on how the convolution sum works, but as I dig deeper I am realizing that there is an issue with my intuition of signals and systems, in particular the unit impulse response.
My issue is trying to understand how a unit...
Dear All,
I've been recently reading the very clear text of Burns and Glazer entitled Space Groups for Solid State Scientists in the context of my thesis which requires understanding of symmetries of crystals, more specifically symmetries of (approximate triply periodic minimal surfaces)...
Hello, I've been told that 'natural units' ensure ##\hbar=G=c=\mu_0=1## but...
when I look for it in Wikipedia I find that there are (mainly) two kinds of natural/geometrized units: The Planck ones and the Stoney ones,
(https://en.wikipedia.org/wiki/Geometrized_unit_system)
Also, some...
Homework Statement
Given $$\phi = x^{2} +y^{2}-z^{2}-1 $$
Calculate the unit normal to level surface φ = 0 at the point r = (0,1,0)
Homework Equations
$$ \hat{\mathbf n} = \frac{∇\phi}{|\phi|}$$
$$ z = \sqrt{x^{2}+y^{2} -1} $$
$$ \mathbf n = (1,0,(\frac{\partial z}{\partial x})_{P})...
Long time no see, PhysicsForums. Nevertheless, I have gotten myself into a statistical mechanics class where the prof is pretty brutal and while I can usually manage, this problem finally has me stumped. I'd like to be nudged in the right direction, not outright given the answer if possible. I...
What's the difference between zone sizing data and terminal unit sizing data in HAP and is it possible that the maximum cooling sensible load for the zone be greater than the Sensible coil load of the terminal unit as indicated in the system design report attached .Note that it is a single space...
i have been learning about using redshift to measure the distance of far-flung objects, but in all my research i never saw a specific unit used to quantify how redshifted an object is. to me it seems like an oversight, because such a unit would be very useful for the study of distant galaxies...
Hi,
I need to convert a value of 12*10-16 m7 N-3 y-1 to the units of kPa-3 m2 s-1. Can anyone help me?
where: m = meters, N = Newton, y = year, s = seconds.
Thanks!
Hi all,
I'm a bit undecided what to pick as my last unit for my math major. I'm about to the the 3rd year of my degree. I'm a physics and math major, although I'll be continuing with physics into honours (and beyond). I'm all set with my physics units. There isn't much leeway in accelerating...
Homework Statement
A 0.5 kg block of ice is sliding by you on a very slippery floor at 2.5 m/s. As it goes by, you give it a kick perpendicular to its path. Your foot is in contact with the ice block for 0.0035 seconds. The block eventually slides at an angle of 24 degrees from its original...
Hello,
I have been looking to build a pmu similar to this device, it will be for domestic use.
https://www.digikey.com/en/articles/techzone/2014/jan/low-cost-microcontroller-based-phasor-measurement-units-improve-smart-grid-reliability
I am having a bit of trouble with the sampling part and...
Homework Statement
A hydrocooling unit can cool fruits and vegetables from 30 to 5 C at a rate of 20,000 kg/h under the following conditions: the channel is 3 m wide by 90 cm high. The water is circulated and cooled by the evaporator section of a refrigeration system. The refrigerant...
Hi, Everyone, Hope you are fine and doing great. I am new here and need to ask how can we match both sides of F-N tunneling equation in unit. I am attaching the equation, i am working on but i could not solve the unit match problem.
if the left term has unit A/V2 then how can we solve 2nd...
Homework Statement
Homework EquationsThe Attempt at a Solution
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I am taking the free energy as the internal energy of the ideal gas.
Then the average internal energy per unit volume is ## \frac { 3 nk_B T } {2 } ##.
So, the correct option is (c).
Is this correct?
As we all know that there is 7 fundamental units and rest can be delivered for physical Quantities.why there is no any define unit for memory element.Now these days all around us we can see electronic systems which have memory element and memory element store data to measures data we have...
Homework Statement
For a positively-charged particle at the origin, and a negatively-charged particle lying to its right on the positive x-axis, the electrostatic force on the negative charge is attractive, and Coulomb's Law gives the magnitude of that force:
F = k |Q1| |Q2| / x^2
k is...
I need to solve:
\dot{\mathbf{r}}=-kv\hat{r} - \dot{\mathbf{r}_s}
However, I do not know how to deal with the fact that there is a unit vector. How can this be done? \dot{\mathbf{r}_s} is a constant vector.