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
A parallel plate capacitor is constructed with plates of area .0280 m^2 and separation .550mm
Find the charge on each plate when potential difference between plates is 20.1V.
what separation would be necessary to give a charge of 20 nC on each plate?Homework Equations
Im...
1. Consider a circuit with 3 resistors (250.0 , 150.0 , 350.0 ) connected in parallel with a 24.0 V battery.
Find the total current supplied by the battery.
Find the current through each resistor.
2. I=V/R
3. I know that resistors in parallel must be added up and then...
Homework Statement
I'm sorry that I have no pic, but please bear with my description.
The circuit diagram is made up of 3 horizontal lines. On the top line, there's battery A, (-) on the left, (+) on the right, and an arrow going to the right (>) to show direction of current.
On the...
In my recent studies of curvature, I worked with the Riemann tensor and the equation:
(\deltaV)a= A\muB\nuRab\mu\nuVb
Now previously, I worked in 2D with the 2 sphere. While doing so, I learned that if I set my x1 coordinate to be θ and my x2 coordinate to be ø, then the vectors that serve...
Homework Statement
I'm not so sure about the following:
You have 3 set-ups, using identical springs of the same length and stiffness. In the first you have a single spring with mass m attached to it, producing extension x. In the second you have identical springs in series, attached end...
This is my first post here. I hope I have found the correct place to do it. This is not actual coursework, but as it is this type of work, I am posting here per the guidelines.
Homework Statement
I am trying to solve for angular frequency for a given output voltage, so I am seeking to...
Hi all,
So I got 2 months exactly before my exams and since I want to start from 0 again because I realized my base is not very well founded. So I'll take this weekend to go through my pre-calculus again and start my Spivak-Apostol schedule Monday. I need to polish my maths, start with the...
Consider a parallel plate capacitor with layers of dielectric between its plates somehow that the interfaces between them are parallel to the plates of the capacitor. If the surface charge density on the plates of the capacitors be \sigma , gauss's law gives D=\sigma which is the same inside...
If i have a parallel plates capacitor , where the plates have different charges , eg, one plate has 1 C of charge and the other is neutral , what's the potential difference? what if i grounded the neutral plate , will it gain 1 C of charge?
I was asked the following question and had no idea how to solve it.
If we are concerned with cost, should we wire our christmas lights in series or parallel? Note you can also wire them in a parallel series. Then optimize your selection. Which produces the most power.
Can an some one...
Homework Statement
Find the electric field everywhere for the following permanently polarized structures which do not support any free charge:
(b) Permanently polarized slab P_0 i_x of thickness b placed between parallel plate electrodes in free space at potential difference V_0...
So I have a 30" pipe that splits into 3 parallel paths, each 24" in dia. The pipes converge into a 30" outlet and then flows at about 40,000 gallons per minute at full head pressure. Assuming the same head pressure and one path closed off (i.e. now only flowing through 2 parallel paths), how...
Homework Statement
Find the Uncertainty of the Total Resistance of two (2) parallel-connected resistors:
R1 = 2.2 kΩ ± 5\% \ ;\ R2 = 1.8 kΩ ± 20\%.
Homework Equations
We know that resistors in parallel are:
\frac{1}{R_t}={\frac{1}{R_1±\delta_{R_1}}+\frac{1}{R_2±\delta_{R_2}}}
This...
Homework Statement
Trying to get better at spotting these.
Determine whether or not the capacitors shown in the following diagrams are in series or parallel with one another:
http://gyazo.com/0c8193dde670f92520e1453c7d1bd6af
Homework Equations
The Attempt at a Solution
(a)...
So flow rate is calculated using only the parallel velocity to the area vector. Why is this? How can I mathematically prove this? Namely, how do I prove any perpendicular component of the velocity vector is not contributing to any volume output? I know this is the result of the dot product; I...
my living room light switch controls two lights. one of the light bulbs just went out.
since the switch controlled two bulbs, aren't they in parallel? so then why didn't the light bulb that is still on get any brighter?
Hi,
Is the circuit in the attached image essentially one with three parallel branches, each with a different source of emf and two resistors? ie, ε1, R1, R2 on one branch, ε2, R3, R4 on another, and similarly for the last one?
Thanks!
I am not sure if I should start a new thread or revive an old thread this because it is the same topic.
Location of tests: Scandinavia
I simply want to know why and how a current carrying conductor parallel to Earth surface moves perpendicularly to the current flow and parallel...
say that a particle collides elastically with a wall 60 degrees from the wall's normal. the force from the wall is along the wall's normal. My questions is why there is no parallel component to the force from the wall since the particles velocity had a parallel component.
What would have been if the opposite and equal charge wouldn't have been induce on 2nd conductor in parallel plate capacitor when connected to a battery
Consider a one-dimensional random walk on the integer lattice, starting at 0. The next step is decided to be +1 or -1 with equal probability 0.5. The hitting time (the expected time required for the random walk to reach any integer α -- also called the first-passage time) will be...
an object is moving in the direction i + j is being acted upon by the force vector 2i + j, express this force as the sum of a force in the direction of motion and a force perpendicular to the direction of motion.
the parallel would be \hat{i}+\hat{j} and the orthogonal would be \hat{i} -...
Homework Statement
Let u = i - 2j, v = 2i + 3j, and w = i + j. Write u = u1 + u2 where u1 is parallel to v and u2 is parallel to w. (See question 41.)
Homework Equations
Properties of vectors. Question 41: https://answers.yahoo.com/question/index?qid=20090923151849AARqpWR
The...
Homework Statement
Please see attached images.
2. Relevant Questions
I'm fairly certain the mesh equations are incorrect. I'm having a hard time accounting for the mutual inductance and the voltage/current loss between each mesh. When we account for the lost voltage (using j300 in...
i would like to know the underlying reasoning why it works the way it does and how it works based on the explanation given by the book Electricity Demystified, but i would like a far better explanation. Give me something like an analogy to better explain it physically.
In there it says:
for...
Homework Statement
Show that if σ(t) for (t in I) is a parametrization of a line, then σ''(t) is parallel to σ'(t).
Homework Equations
The Attempt at a Solution
I thought that if σ(t) is a parametrization of a line then it could be expressed as σ(t) = vt + a, but then σ'(t) = v...
Hi all
I`m doing my first ever Physics course, and i`ve hit a brick wall with Kirchoffs Law.
I understand what the laws are i just can`t seem to get the right answers on a particular question.
I then decided to cheat(because i exhausted all my options in trying to solve it) which i really...
1. Homework Statement [/b]
In the figure, two parallel wires carry a current I in opposite directions. A rectangular loop is midway between the wires. The current I is decreasing. The induced current through the resistor R is:
A: Zero
B: from b to a
C: from a to b
Homework Equations...
Homework Statement
A long insulating cylinder of radius R1 has a cylindrical hole parallel to the axis of the cylinder. The radius of the hole is R2, and the distance from the centre of the cylinder to the centre of the hole is a. There is a uniform fixed charge per unit volume ρ throughout...
Homework Statement
Two parallel plates, each having area A = 3558 cm2 are connected to the terminals of a battery of voltage Vb = 6 V as shown. The plates are separated by a distance d = 0.54 cm.
1) What is Q the charge on the top plate? 3.5*10^-9 C
2) What is U, the energy stored in...
When calculating Rth, they took the parallel combo of he 40 kilo ohm and 160 kilo ohm resistors, then they added the 8 kilo ohm resistor that's in series with the combo.
Maybe I'm having a brain freeze or something but how are the 40 kilo ohm and 160 kilo ohm resistors in parallel? They don't...
Homework Statement
The problem is to determine the transfer function where force F is input and displacement x is output in the mass-spring-damper mechanism.Homework Equations
Spring Force = kx [k:spring constant]
Damping Force = Cx [C:damping coefficient]
Force = (Mass)(acceleration)
The...
A uniform rod of mass M=5.0 kg and length ℓ=20 cm is pivoted on a frictionless hinge at the end
of it. The rod is held horizontally and then released.
a) Use the parallel-axis theorem to determine the moment of inertia of the rod about the hinge (ie
its end).
b) Determine the angular...
Homework Statement
I'm working through this question, but on the final part I've hit a brick wall so I'd be grateful for any help please.
The tuned circuit has a Q-factor of 1000 and is designed to resonate at 1MHz. At resonance, the supply current I is measured at 15μA for supply...
Homework Statement
See images
In the first image, I made a circuit with the switch closed and then two when the switch is opened.
The bottom circuit is the Thev transform.
Homework Equations
The Attempt at a Solution
Let me first explain my understanding of the circuit. Prior to t = 0, the...
Hello
With regards to a common example in most fluid mechanics books where there exists fluid between two stationary parallel plates and the top plate is pulled until it has a constant velocity U with force F, the result is \tau=F/A = μU/L. Although this is probably obvious to most, I am...
If i have a LED which drops 3V, and 30mA through each LED and i need 8 LED in series.. does it mean that i need a total of 24V and 30mA from power supply or less?
And if i use the same circuit in parallel, does it mean i will use 3V but much more current like 0.24A?? or least current?
Homework Statement
A pair of parallel conducting rails a distance l apart in a uniform magnetic field B⃗ . A resistance R is connected across the rails. The bar has mass m and is initially at rest. A constant force F⃗ e to the right is applied to the bar. Find its velocity as a function of...
Hello,
In heat transfer, for the components to be in parallel, does that simply mean that the heat is transferring through all of the components at the same time, such that ΔT is the same for both, similar to how the voltage is the same for two components in parallel of a circuit?
Hi
How would I calculate a series-parallel LC circuit for resonance? I added up all the μH and pF for the equation, would that be correct? The inductors are in parallel, and the capacitors in series.
I have quite a few questions so I've attached the associated images instead of making multiple threads. I'll share my attempts/reasoning for the problems and please tell me if my logic is flawed or if I am doing something completely wrong.
Question 41: Bulb brightness is related to power...
Homework Statement
Two capacitors (C1 = 9.3 μF and C2 = 29 μF) are connected in parallel across a 12 V battery.
a) Find the equivalent capacitance of the two capacitors.
Ceq=C1+C2=9.3+29=38.3μF
After some time has passed (use for rest of problem):
b) How much current flows in this...
Homework Statement
Compare the COMSOL results to the analytical solution for laminar flow between flat plates. Assume no effect of gravity on the flow (g = 0). The comparison will involve obtaining the velocity at a point in the flow field and the ΔP/L term. For example, you can compare the...
Mod note: Corrected a typo in the problem statement.
Homework Statement
IfIs the vector AP parallel to u?
u= (1,4,-3)
A(-2,-1,-2)
The Attempt at a Solution
I do know that if AP is parallel to u then there must be some scalar multiple such that Ax = u.
I think it's a matter...
Homework Statement
See image
Homework Equations
.5Li2
.5Cv2
The Attempt at a Solution
How do I calculate the current for a circuit of this type? I am unable to find any examples in our text. Can I use the following formulas to solve for the current flowing through each component:
I(r) =...
For an obejcting in a state of rotation, the velocity is always tangential to the distance acceleration to the axis of rotation.
From what I read, the momentum vector, p = mv, is always parallel.
Would it then be right to state that the momentum vector, p, is nothing more than a scalar...