Computing is any goal-oriented activity requiring, benefiting from, or creating computing machinery. It includes the study and experimentation of algorithmic processes and development of both hardware and software. It has scientific, engineering, mathematical, technological and social aspects. Major computing disciplines include computer engineering, computer science, cybersecurity, data science, information systems, information technology and software engineering.
Homework Statement
C is triangle (0,0), (4,0), (0,3). R is the enclosed region. Compute the following integral, where n is the outward pointing normal:
\int_{C} \left(4x-y^{2}\right)n^{1}ds
where n^{1} = \widehat{i} \cdot \widehat{n}
Homework Equations
The Attempt at a...
suppose, s_{n}(f;t) = \sum_{k=-n}^{n}\widehat{f}(k)e^{ikt}
and
\sigma_{N}(f;t)= \frac{1}{N+1}\sum_{n=0}^{N}s_{n}(f;t).
how do i get from this \sigma_{N}(f;t)= \frac{1}{N+1}\sum_{n=0}^{N}s_{n}(f;t).
to this
\sigma_{N}(f;t)= \sum_{n=-N}^{N}(1-\frac{|n|}{N+1})\widehat{f}(n)e^{int}...
Homework Statement
Compute the total mass of a wire bent in a quarter circle with parametric equations: x=cos(t), y=sin(t), 0\leq t \leq \pi/2
and density function \rho(x,y) = x^2+y^2
Homework Equations
not exactly too sure which equations if any i need to use. maybe the jacobian...
Is there a name for this or any research in it? I remember this:
http://www.wired.com/wiredscience/2008/08/how-to-train-yo/
but I can't find anything else like it.
I'm not going to "follow the template provided" in the strictest sense - but I'm going to include all the same information expected - statement of the problem and a showing of how I've tried to do it, in the intended "spirit" of the template, since these different components are kind of "mixed"...
I recently took a great interest in topological quantum computing - so great an interest I am even considering it as a thesis topic for grad school (though I am still a junior undergrad and have awhile to figure that out). What would be some useful courses to take to pursue theoretical research...
I need to find the circulation for a flow in a pipe. I'm using the velocity in the angular direction (cylindrical coordinate system).
Am I right in thinking that an ideal vortex is one where there is no vorticity? That would mean there is no circulation. It's strange, because the velocity is...
Homework Statement
Compute \sum_{n=0}^{\infty} p^n cos(3nx) for \abs{p} \textless 1 , where p \in \mathbb{R} .
Homework Equations
The Attempt at a Solution
I was thinking that maybe this could be approached as a telescoping series, but I'm not really sure if it is. Would that...
Homework Statement
This question isn't that hard just confusing:
Write a program to compute the per-minute storage requirements for “full
HD” TV at 60 HZ (60 frames per second) where each frame is captured at
a resolution of 1920×1080 pixels using 24-bit color.
Homework Equations
1 pixel...
Homework Statement
Compute the semimajor axes "a" of Halley's Comet.
Given:
orbital eccentricity e = 0.9673
period P =76 days (2.39674E9 seconds)
Gravitational Constant G = 6.67428E-11
solar mass M = 1.9891E30 Kg.
Also used in equations are:
L = angular momentum of center of mass...
I've been reading the thread on completely erasing hard drives as well as a bit on the File Allocation Table (i.e. FAT). Apparently formatting your computer does not completely erase your data from the disk. So I have some questions:
1) Does the FAT contain a collection of "pointers" to...
Hi there,
Is there an "easy" way to find a tangent space at a specific point to an implicitly defined manifold? I am thinking of a manifold defined by all points x in R^k satisfying f(x) = c for some c in R^m. Sometimes I can find an explicit parametrization and compute the Jacobian matrix...
In the last step to get result from a quantum computer, measurement is required to collapse the quantum state. This can be done by the measuring a large ensemble average of same computed result. One realization I know is to use NMR to measure billions of spin. So, what is the minimum number of...
Hi there,
as much of you i possesses a notebook (ubuntu) with DualCore processor. When i write my scientific simulation (C/C++ usually) i don't mind parallelizzation at all, that is, my program works on a single core only. I want to get benefit from dualcore technology without being crazy...
Homework Statement
computing the residue;
1/(1+z²+z⁴)
Homework Equations
Can someone explain to me what a residue is and how to calculate it! Is it simply the discontinuities of the function?
The Attempt at a Solution
I'm working on an electrostatics problem that I'd appreciate some clarification on. I'm trying to compute the surface integral of a field \lambda(ix +jy) over a surface that is the half cylinder centered on the origin parallel to the x-axis - that is the end caps of the cylinder are located at...
I'm trying to understand the mathematical methods of computing the atmospheric trajectory of a meteor for two or more stations. Ceplecha wrote a rather complete description of this in around 1987. See <http://adsabs.harvard.edu/abs/1987BAICz..38..222C>. Something of a simpler version meant for...
Homework Statement
describe the laurent series for the function
f(z) = z^3 cos(\frac {1}{z^2})
b) use your answer to part a to compute the contour integral
\int z^3 cos(\frac {1}{z^2}) dz
where C is the unit counter-clockwise circle around the origin.Homework Equations
The Attempt at a...
Hello everybody,
My question to you is how can I compute the values of Hr and Hz given the value of A - the magnetic vector potential.
The reason I seek this: I'm using the FEMM software to obtain the H values at points around a solenoid. The .ans file that FEMM creates has a huge list of...
Homework Statement
compute arccot (-1/3 (3 in sqr. root))
Homework Equations
The Attempt at a Solution
Sorry for posting one so soon after, but this is really annoying me.
I have looked through my trig book but i cannot remember what an arccot is.
I know that there cannot be...
so i have a problem which can be formulated in the following way:
assume you have n particles and you know the initial position of each. There is some probability distribution P which contains the probability of having a particular velocity. Now, each particle has this same probability...
Hello!
I'm a few weeks away from being a high school senior, and I'm looking at going into Computing Sciences after high school. But when I checked out the website of the University I plan to attend, it listed Computing Science as both an Arts and a Sciences course. Why is this? Are there two...
I plan on finishing up a B.Sc. in math with a minor in physics in the next few years. Afterward I would like to get a job for a few years and then continue in graduate school learning more about scientific computing and the like.
My question is what sorts of jobs are available in scientific...
Hey guys,
After taking linear algebra I decided I could try my hand at learning some introductory QC algorithms, and downloading this introductory paper from arxiv: http://arxiv.org/abs/quant-ph/0301079v1
After mulling through it for a couple of days, I got a little disturbed by their...
Who if anyone has a good knowledge base on this topic, I am really intreged to get on bored with a bunch of people with this topic as I want to study this at UNI, Anyone that has any skills, knowledge or experience working with such field post in here I am very basic when it comes to this but I...
Hi,
I'm trying to compute
P^{\mu} = \int d^{3}x T^{0\mu}
where T is the stress energy tensor given by
T^{\mu\nu} = \frac{\partial\mathcal{L}}{\partial[\partial_{\mu}\phi]}\partial^{\nu}\phi - g^{\mu\nu}\mathcal{L}
for the scalar field \phi with the Lagrangian density given by
\mathcal{L} =...
Homework Statement x=(2,1+i,i) and y=(2-i,2,1+2i)
Homework Equations
The Attempt at a Solution um ok normally i would use <a,b>=|a||b|cos(theta). But these are complex numbers. I have no clue how to do this.
Homework Statement
Compute the Fourier series for the given function f on the specified interval
f(x) = x^2 on the interval − 1 < x < 1
The Attempt at a Solution
Just wondering if anyone can verify my answer?
f(x)=1/3+\sum(4/(n^2*pi^2)*(-1)^n*cos(n*pi*x))
Homework Statement
"A hot-wheels car of mass 0.0250 kg is traveling on a horizontal track with a velocity of 5.00m/s. If the track suddenly turns upward, how high up the track can the car travel?"
Homework Equations
work = mgh = force * distance
PEf + KEf = PEi + KEi
KE = .5mv^2...
Some disasters attributable to bad numerical computing
http://www.ima.umn.edu/~arnold/disasters/disasters.html
That's why software QC/QA are critical - both in the code/method and in the implementation/application.
And not to forget: Garbage in = Garbage out
Does anyone else here do distributed computing? I have my PCs running World Community Grid and work on the Clean Energy Project. Does anyone else participate?
for example:
f(x) = x^(x^x)
Firstly, is there already an inverse of this function that can be expressed in functions that exist?
And if there isn't, how would I go about computing it in code? Is there a better way than trial and error?
Homework Statement
Compute the general solution of y'' + 4y' + 20y =e-2tsin4t
Homework Equations
The Attempt at a Solution
after using determinants, I found the \lambda_1 = -2 + 4i and \lambda_2 = -2 - 4i
So the general solution would be y(t) = k1e-2tcos4t + k2e-2tsin4t + yim...
Homework Statement
Let Bt be a standard Brownian motion. Let s<t:
a) Compute P(\sigma B_{t}+\mu t|B_{s}=c)
b) Compute E(B_{t}-t|B_{s}=c)
Homework Equations
Defition of brownian motion: B(t) is a (one-dim) brownian motion with variance \sigma^{2}if it satisfies the following conditions:
(a)...
How sustainable is computing? I spend several hours working on a computer each day and I am worried that this practice is not sustainable and/or not scalable to the entire world population. What do you guys think?
Hi guys, I'm really interested in doing Grad study in the area of Quantum Computation (in Canadian U.). My background is B.Sc. in physics and Com Science and M.Sc in Com science. From my understanding, QC can be heavy in the field of physics for the HW part that they're trying to find a...
Dear All,
I need help on the following issue. Assuming the flow to be potential, I want to compute the potential given the density at all times, that is :
From the continuity equation:
\partial _t \rho + \nabla \cdot \left( {\rho \nabla \phi } \right) =
0
One can write down an...
I am just starting to learn about attitude estimation and control of a flying(or actually, a freefalling) vehicle. There will be inputs from accelerometers and gyroscopes, Kalman filtering to estimate the correct attitude and control algorithm to achieve the desired attitude.
I am still...
Homework Statement
http://img19.imageshack.us/img19/5192/captureonr.th.jpg
Can anyone tell me if I did any mis-computation on evaluating the triple integral above?
Homework Equations
The Attempt at a Solution
does anyone have ideas or easy to read versions of code for this? I was looking for ways to do it using the limit definition of a derivative of a function and I've found a few applets but nothing that is that clear; any ideas are appreciated.
Just wondering if anyone on this forum has an extensive knowledge that they would like to share. I've heard that the basic concept in quantum computing has something to do with representing binary information with a variable 1 or 0. Something like that. I was trying to follow but it was very...
Homework Statement
the directions are:
compute the volume of the solid formed by revolving the given region about the line
region bounded by y=2x, y=2 and x=0 about (a) the y-axis; (b) x=1
Homework Equations
V=∫A(x)dx,a,b
The Attempt at a Solution
From what my...
I am interesting for mathematical background od fast algorithms for computing number \pi with complete proofs only. More specific, I am interesting for Gauss Legendre algorithm, Borwein algorithm, Ramanujan formulas and Chudnovsky formula.
Homework Statement
Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region.
x+y^2=6
x+y=0
Homework Equations
none, just using integrals...
The Attempt at a Solution
I sketch the two curves and...
Homework Statement
Find the total area enclosed by the graphs of
y=9x^2–x^3+x
y=x^2+16x
Homework Equations
No real equations, just using integrals
The Attempt at a Solution
I graph the functions and find they intersect at 0 and 5, and that y=x^2+16x seems to be the upper...
Hello everybody,
Let's say we want to compute sqrt(x), where x is an integer
of n digits. Then what is the cost of the computation, in
terms of big O notation and n?
And a second question: what is the algorithm for finding the
square root that is most commonly used in computers and...
Homework Statement
Question: Given that Wavefunction Fi = A exp[b*mod(x)], which b is a non zero positive constant. Calculate the normalisation constant.
Homework Equations
1 = Integrating Mod square (Wavefunction) from minus infinity to positive infinity
The Attempt at a Solution...