Parallel computing is a type of computation in which many calculations or processes are carried out simultaneously. Large problems can often be divided into smaller ones, which can then be solved at the same time. There are several different forms of parallel computing: bit-level, instruction-level, data, and task parallelism. Parallelism has long been employed in high-performance computing, but has gained broader interest due to the physical constraints preventing frequency scaling. As power consumption (and consequently heat generation) by computers has become a concern in recent years, parallel computing has become the dominant paradigm in computer architecture, mainly in the form of multi-core processors.Parallel computing is closely related to concurrent computing—they are frequently used together, and often conflated, though the two are distinct: it is possible to have parallelism without concurrency (such as bit-level parallelism), and concurrency without parallelism (such as multitasking by time-sharing on a single-core CPU). In parallel computing, a computational task is typically broken down into several, often many, very similar sub-tasks that can be processed independently and whose results are combined afterwards, upon completion. In contrast, in concurrent computing, the various processes often do not address related tasks; when they do, as is typical in distributed computing, the separate tasks may have a varied nature and often require some inter-process communication during execution.
Parallel computers can be roughly classified according to the level at which the hardware supports parallelism, with multi-core and multi-processor computers having multiple processing elements within a single machine, while clusters, MPPs, and grids use multiple computers to work on the same task. Specialized parallel computer architectures are sometimes used alongside traditional processors, for accelerating specific tasks.
In some cases parallelism is transparent to the programmer, such as in bit-level or instruction-level parallelism, but explicitly parallel algorithms, particularly those that use concurrency, are more difficult to write than sequential ones, because concurrency introduces several new classes of potential software bugs, of which race conditions are the most common. Communication and synchronization between the different subtasks are typically some of the greatest obstacles to getting optimal parallel program performance.
A theoretical upper bound on the speed-up of a single program as a result of parallelization is given by Amdahl's law.
Homework Statement
FIGURE 4(a) shows two inductances connected in parallel across an a.c. supply.
(a) Apply Kirchhoff’s voltage law to loop abef and to loop abcdef of the circuit.
(b) Hence or otherwise obtain the current ratio I1/I2 in terms of the circuit inductances.
(c) See if you can...
Hello, http://www.powerequipmentdirect.com/Reliance-Controls-GPK30RV/p1893.html Reliance Controls Sidewinder™ Parallel Power RV Cables is an example of this. That one is universal. Honda makes same thing for their invertor generators, plug two 2,000 watt together to get 4,000 watts...
I have to prove $\vec x \perp \vec z$ and $\vec y \perp \vec z$ imply $\vec x || \vec y$ where $\vec x,\vec y,\vec z \in \mathbb{R}^2$ and $z$ nonzero.
I know $x \perp z \Leftrightarrow x_1z_1+x_2z_2=0$ and $y \perp z \Leftrightarrow y_1z_1+y_2z_2=0$. If two vectors are parallel, I can write...
According to my book, if we write the equation of a plane as:
##ax + by + cz = d##
And two planes have values of ##d## with the same sign, they are on the same side of the origin. If they have values of ##d## with different signs, they are on opposite sides of the origin.
I'm confused as to...
If incoming light to a parabola is parallel to the central axis the light is reflected through the focal point and the back to its source.
What about light coming in not parallel to the central axis. What path do these rays take?
Homework Statement
Two very long parallel wires 1.0m apart lie on the ground carrying currents 4.0A and 6.0A in the same direction.
How far from the 4. wire are the magnetic field completely cancelled? 1.0m on the other side of the 4.0A wire, what is the magnitude of the magnetic field...
Homework Statement
Which of the following are self-contradictory combinations of circuit elements?
- A 2 Amp current source in parallel with a short circuit.
Homework Equations
KVL- "the sum of voltages around a closed loop amounts to 0.
KCL- "the current into a node equals the current out...
Homework Statement
I got questions a) and b), but I'm stuck at c) and d).
Homework Equations
Kirchhoff's Loop and Junction rules.
Equivalent resistance in series: Req = R1 + R2
Equivalent resistance in parallel: Req = ((R1)-1 + (R2)-1)-1
The Attempt at a Solution
I really haven't gotten...
Hello, I want to ask the explanation for this basic problem.
So I have 2 resistors in parallel(X and Y) and I want to maximize the power going through the resistor X, by choosing the resistance.
This can be achieved only by choosing the same resistance for X, than Y has.
Why is this so? I can...
Homework Statement
Show the Lorentz-Invariance of the following spatial statement: Two photons are traveling parallel to each other. The relative position vector of the two photons is orthogonal to the velocity and has length d.
Homework Equations / The attempt at a solution[/B]
The first...
Homework Statement
2. Homework Equations
Resonant Frequency = 1 / [2 * pi * squareroot(LC)]
Inductive Reactance = 2 * pi * f *L
Capacitive Reactance = 1 / (2 * pi * f * C)
Q = XL/Rw
BW = fr/Q[/B]
The Attempt at a Solution
The information in the handy dandy jpeg I created is LITTERALLY all...
Homework Statement
Two long, straight wires with a current of 8.2A on the left and 9.3A on the right flowing in the same direction. The distance between the wires is 8.8 cm.
a) What is the magnitude of the force per unit length between these two wires both in length and direction
b) How far to...
Homework Statement
Long wire is bent such that it forms two parallel line segments that goes to -∞ along the z-axis and a semicircle of radius (R). Find magnetic field on Z axis.
Homework Equations
Biot-Savart Law
(μ0/4π) I = ∫ dl' x R/ R^2
where dl' is element of length and R is the unit...
I am studying parallel transport in order to understand Berry curvature, but I know this topic is most commonly used in GR so I'm posting my question here. I do not know differential geometry. I am looking for a general explanation of what it means to parallel transport a vector.
Mostly I am...
I was going through the capacitor lesson in my textbook. In it its written "...both positive and negative plates will produce electric field in the same direction, hence the electric field adds up...outside the plates, electric field is zero since the field due to negative and positive charges...
Hello!
My question is quite a quick one- I was wondering whether it is ever possible to have a smooth wall exerting a force parallel to it (and not just perpendicular to it). For example, if you were to place a see-saw by a smooth wall so that the wall is holding one of the see-saw ends below...
Homework Statement
My question is, to gain more knowledge on, is in Physics, what is the terminology for D-offset in the Parallel axis theorem?
Homework Equations
I= Icm + Md^2
The Attempt at a Solution
From my understanding, the offset is the distance away from the axis of rotation.
Homework Statement
[/B]
Two parallel mirrors that face each other are placed along and perpendicular to the x-axis at x = +7.40 m and x = -7.40 m. Assume that a point source of light is placed on the axis at x = +3.30 m. In principle, there will be an infinite number of images generated...
So electric field tells us the force per unit charge that is felt by a test charge at a distance d from a source charge.
So it tells us that the closer the test, or other charge, is to the source charge ,the stronger the interaction, and also that the larger the source charge, the stronger the...
Homework Statement
Use either image charge method of separation of variables to solve:
The distance between two large, grounded parallel conducting plates is 4x. Between them, two point charges +Q and -Q are inserted and have a distance x and 3x from one of the plates. (A line connecting the...
I would like some clarification about an aspect of this concept that has always bothered me. When the 'Many Worlds' or 'Parallel Universes' part of quantum physics is mentioned there is always what seems to me a very shallow and somewhat ludicrous example given like... a world where JFK was not...
It's question 1b) Please view attached
1. Just to clarify, when different voltage sources are in series you pick the smaller one?
2. First step, they turned the 1A and 2ohm into 2V, why does the resistance disappear? Then between the last two steps the 12/7 ohm resistance remains with 18/7...
Homework Statement
An electron with a speed of 5.0x10^6 m/s is injected into a parallel plate apparatus, in a vacuum, through a hole in the positive plate. The electron collides with the negative plate at 1.0x10^6 m/s. What is the potential difference between the plates?
Vi= 5.0x10^6...
How do you tell if 2 resistors (or capacitors, etc.) are in parallel or in series?
For example, calculate the resistance in the following circuits:
How is the first circuit simplified, and what is an easy way to distinguish which resistors are in series, and which are in parallel?
Thanks!
Homework Statement
My question is: If we have a parallel plate capacitor with 2 parallel dielectrics both taking A/2 of the complete surface, is the total electric charge equal to sum of the electrical charges in the first dielectric and the second dielectric, i.e is qtotal=q1+q2=σ1*A/2+σ2*A/2...
Hi,
If I have two brances, branch 1 and branch 2 which are in parallel and each branch has a resistance and inductance, to calculate the equivalent series resistance and inductance, can I calculate the resistance and inductance separately e.g.
Req = R1*R2/R1+R2 (and same for X),
or do I have...
Homework Statement
Hi guys,
I am trying to find the Thevein resistance of a circuit, I'm only stuck on finding Rth. Can you help?
I have included a screen shot.
Homework EquationsThe Attempt at a Solution
Well I thought that I could combine the two bottom 1 ohms in series, the 4 and 12 in...
Homework Statement
Find ##i(t)## in the following circuit:
Homework Equations
##Z = \frac{V}{I} \Rightarrow I = \frac{V}{Z}##
The Attempt at a Solution
I've solved this, but I'm wondering why my answer is different than the book's answer. The book lists the answer as ##i(t) = 3.88...
Homework Statement
Problem:
A car's rear window defroster uses 15 strips of resistive wire in a parallel arrangement. If the total resistance is 1.4 ohms, what is the resistance of one wire?
Solution: rearrange formula to $$ R nR_{T} = (15)(1.4 \Omega) = 21 \Omega $$
Question: What is the...
There is something I am confused about when it comes to the force between two parallel wires carrying current, specifically why when they carry current in the same direction the wires are attracted to each other. I understand that when you use Flemming's left hand rule and consider the electrons...
Does anyone know a good algorithm for calculating the closest points/distance between two line segments? I use some pretty general code:
http://geomalgorithms.com/a07-_distance.html
which works in most cases but fails horribly when line segments are nearly parallel. I've been messing with the...
At what point on the curve
$$y = e^x$$ is the tangent line parallel to the line
$$y = 2x$$
The derivative of y is
$$\frac{dy}{dx} = e^x$$
But I'm unsure how to proceed from here.
Hello experts,
Is it possible to run several instances of Ansys Mechanical in Windows or Linux in parallel? How?
I need to dramatically speed up the solution of a large list of Ansys Mechanical jobs, typically more than 50000. Such analyses are performed by some script that runs each job in...
Consider the circuit shown in the figure . Suppose the four resistors in this circuit have the values R1 = 12 , R2 = 6.0 , R3 = 7.3 , and R4 = 15 , and that the emf of the battery is E = 18V .
(1) Find the current through each resistor using the rules for series and parallel resistors. Answer...
im hooking up 6 450v 10000uf capacitors in parallel for an exparement for school (under supervision of my professor) he won't tell me how to monitor these devices and how to know when they are full and when to release them.
does anyone think they could give me a quick and dirty answer?
Homework Statement
I am able to solve most of the DC circuit problems we're given, but I seem to be missing something conceptually when it comes to finding current that passes through individual resistors when they are in parallel. An example problem would be #10 at this link...
Assuming that the double slit experiment creates interference patterns when electrons interact with themselves (or 'other' selves) from a parallel 'space' - one wonders if one can 'image', or at least gain more information about that other 'space' (dare I use the word 'dimension'?) in which the...
Homework Statement
Find an equation of the set of all points equidistant from the points A(-1,5,3) and B(6,2,-2). Describe the set.
Homework Equations
##|A_2 B_1|/2## = ## \sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}/2 ##
This would be the distance to the midpoint along the line connecting A and...
Homework Statement
For the following vectors 'u' and 'v', express 'u' as the sum u = p + n where 'p' is parallel to 'v' and 'n' is orthogonal to 'v'
u = {-1, 2, 3}
v = {2, 1, 1}
Homework Equations
Dot product
Cross product
The Attempt at a Solution
First, I should say that I do not know how...
Homework Statement
I need to work out the impedance of this notch filter, and what I really need is to know how to read the diagram, because if I can do that the rest isn't so hard. The diagram looks like this (I don't know if this uploaded right)
So really, all I am trying to do is tell if...
Homework Statement
A block on a ramp is held by a tension force parallel to the horizontal (not the ramp). If originally the tension force was parallel to the ramp, is the tension force when it was parallel greater, equal, or less than when it is horizontal?
Homework Equations
Trigonometric...
Homework Statement
The mass of a homogenous thin plate is 36kg. Determine it moment of inertia about the x axis
Homework Equations
Parallel axis theorem:
Ix = Ix' + d^2*m
The Attempt at a Solution
p = m/a
= 36/0.36 = 100
Because the density is homogenous, I found the mass of the first...
Homework Statement
Capacitors of 7.6 µF and 2.1 µF are charged as a parallel combination across a 333V battery. The capacitors are disconnected from the battery and each other. They are then connected positive plate to negative plate and negative plate to positive plate.
Find the resulting...
Homework Statement
v = 3i - j u = 2i + j - 3k
Express vector u as a sum of a vector parallel to v and a vector orthogonal to v.Homework Equations
Proj of u onto v = [ (u • v) / |v|^2 ]v
Expressing vector u as sum of a vector parappel to v and a vector vector orthogonal to v
>> u = [Proj of...
Homework Statement
A resistor is added to a circuit in parallel.. How does the current through the pre-existing resistor change?Homework Equations
V=IRThe Attempt at a Solution
[/B]
From one viewpoint, I understand, because no matter how many resistors you add to a circuit, the voltage across...
Hi guys,
I want to calculate an explicit example of a vector parallel transported along a cardioid to see what happens. Maybe someone could help me with that since no author of any book or pdf on the topic is capable of showing a single numerical example.
So we need a vector field on a manifold...
A question has occurred to me during preparation for a Physics exam. My textbook does a good job of discussing a capacitor charged equal but opposite. But I want to take it a step further. My question is how to calculate the E field between 2 plates of opposing charge that have unequal...
Hello all,
I am currently installing a 4 station inflation system. My problem is that i do not want to lower the systems pressure when one or two of the stations are inflating.
All 4 stations are fed by a global 120 psi feed. I want to maintain 5 gallons at 80 PSI at each station. To do...