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.
In general relativity, a vector parallel along a curve on a manifold M with a connection field Γ can be expressed:
∂v+Γv=0
We know that if the curvature corresponding to Γ is non-zero, which means if we parallel transport a vector along different paths between two points, we will get different...
Let us say there are two springs each of mass m and each having a spring constant k.
If the two springs are connected in parallel to a mass M and are made to oscillate,
what will be the time period of oscillations??
Hello! In my GR class we were introduced to the parallel transport as the way in which 2 tensors can be compared with each other at different points (and how one reaches the curvature tensor from here). I was wondering why can't one use Lie derivatives, instead of parallel transport. As far as I...
Hey guys, so I'm having trouble with this circuit analysis question. I need to find voltage across the capacitor as a function of time. I nearly finished analyzing but I'm having trouble solving for the initial value constants in the voltage equation. So first I used KCL to create the equation...
Homework Statement
Homework Equations
The right hand curl rule gave me the counterclockwise direction for the magnetic field but I am confused about how is it going to work for the particle. Thanks
The Attempt at a Solution
Consider the scenario where there are two parallel conducting pipes of radius R separated by a distance d, with pipe 1 at a potential of -V and pipe 2 at a potential +V. I have seen from many sources that there is a very easy method of images solution to the potential outside the pipes, given...
Hi,
I'm currently in "gymnasiet" in Denmark, which I understand is similar to high school in the US. It's what gives you access to universities, so to speak. After "gymnasiet", which I'm done with summer 2019, I'm planning on going to university for a physics degree.
I'm currently taking...
Homework Statement
This was a one mark question on an AS paper.
[/B]Homework Equations
[/B]The Attempt at a Solution
Mark scheme says straight lines, equally spaced lines pointing down and starting/ending on the plates. (which I totally get if one plate was 0V or negative) However, if you...
Homework Statement
Given 2 positively charged parallel plates with equal surface charge densities, calculate the electric field at a point outside the the parallel plates.
Homework Equations
E= (surface charge density) / 2(relative permittivity) for a single sheet.
The Attempt at a Solution...
I had a question related to modelling in Matlab. Will there be an interference in output signals when there are two PI controllers working parallely.
the input for both PI controllers is the same. the output signals are different as the P and I gains given to both are different.
Note: there is...
Homework Statement
Are ALL parallel plate capacitors linear?
Homework Equations
D = permittivity * E
The Attempt at a Solution
Capacitance is linear if permittivity is constant. Is there a case where a parallel plate capacitor is not linear?
Why can't we prove euclids fifth postulate
What's wrong in this proof:
why can't we prove that there is only one line which passes through a single point which is parallel to a line.
If we can prove that two lines are parallel by proving that the alternate angles of a transverse passing...
Homework Statement
2. Homework Equations [/B]
Hi! So I was given the following circuit with R=15k
I was asked to calculate the equivalent resistance between A and B.
The Attempt at a Solution
[/B]
According to my professor this circuit is equivalent to a circuit with three resistors in...
I have a system where pipes run 24l L/min of water @60 degrees through 3 manifolds and those manifolds distribute the water over 8 heat exchangers. Every heat exchanger requires 1 L/min, and has a resistance of about 1.333 KPa per heat exchanger at that flow (2 meter @ 9mm diameter + 2...
Hello I'm working through a book (with answers) but am struggling with voltage, current, resistance and circuits. Please check my understanding below and let me know if I've finally understood. Thank you.
In particular I'm confused in Q2
Q1. A student connects light bulbs, A and B, and...
Homework Statement
Homework Equations
V=IR
parallel resistance.
The Attempt at a Solution
All elements are in parallel (teacher confirmed this in explanation to the class). Beginning placing labels for nodes to the right of R1, A, B, C, D, and E (ending before R4) and redrawing it as the...
hi, I wonder that inclined plate capacitor formula is the formula in last picture I shared? I am not sure because there are not enough examples about that ?
Homework Statement
Homework EquationsThe Attempt at a Solution
The force between the plates is given by (1/2)QE ,where Q is the charge on the plates and E is the electric field between the plates .
Now Q = CV and E = V/d , where C is the capacitance , V is the potential difference and d is...
Homework Statement
https://i.imgur.com/WPAKuf4.png
seeking G(s) = \frac{\theta_2(s)}{\tau(s)}
Homework EquationsThe Attempt at a Solution
What does it mean when the viscous drag is parallel to the axis of rotation?[/B]
It also turns out that this system needs two equations. I can sort...
Two identical front surface mirrors are hung in a vacuum chamber with a high vacuum with a bit of bias of their mass wanting to lean into each other so they don't separate on their own. The metal surface is connected to a variable high voltage source. Both mirrors are connected to the same...
Homework Statement
Homework EquationsThe Attempt at a Solution
Assuming the current is steady,
I = JA, where J is the current density and A is the cross- sectional area
##E = J/\sigma##
Can I take ##\sigma ## uniform here ?
Homework Statement
show that points P, Q and R are in a straight line
P (1, -3, 4)
Q ( 2, 2, 1)
R (3, 7, -2)
and find the vectors ## \vec{PQ} ## and ## \vec{QR} ##
Homework EquationsThe Attempt at a SolutionIn proving that the points are in a straight line, we might be able to use dot product...
Homework Statement
Capacitors C1 = 6.97 uF and C2 = 1.54 uF are charged as a parallel combination across a 281 V battery. The capacitors are disconnected from the battery and from each other. They are then connected positive plate to negative plate and negative plate to positive plate.
A)...
Homework Statement
I want to find the charge and potential drop across each capacitor
Homework EquationsThe Attempt at a Solution
I know both the capacitors are in series and hence have the same charge on them. However I don't know how to calculate the potential drop across the capacitors...
Hi guys, how do I figure out whether components are in series/parallel with each other just by looking at them? for example, in the circuit on the picture I posted, how do I know which of the resistors are in series/ parallel with each other? I know the definition involves nodes, but in clear...
, simple, Now I wonder what happens, I have a say speaker magnet or more precisely only the metal end plates that direct the b field lines or any other metal plate designed to guide a b field into a gap of sorts.
Say I now apply a permanent neodymium magnet which has a magnetic field strength of...
Hey! :o
Let $ax+by+c=0$ and $a'x+b'y+c'=0$ be the equations of two parallel lines $g$ and $g'$ in Hesse normal form. I want to calculate the between the two lines.
We have to pick a point of the line $g'$ and calculate the distance of that point and the line $g$, or not? (Wondering)
How can...
Homework Statement
Two capacitors C1 and C2 are charged to 120V and 200V respectively.It is found that on connecting them together the potential on each one of them can be made zero.Then,
A)3C1=5C2
B)3C1 + 5C2=0
C)9C1=4C2
D)5C1=3C2
Homework Equations
Q=CV
Q-charge on capacitor
C-capacitance...
Hi - I am designing a circuit with two solenoids (12 V, 1 Amp each) in parallel in order to get power of two upon activation using an arduino.
I am able to wire one solenoid using 12 V adapter rated 3 Amp, 1 TIP120 darlington transistor, 1N004 diode and Arduino connected to base of the...
Since for a general contravariant vector, ##\nabla_{\nu}V^{\mu}## will not in general be zero, is it correct to say that all of them are transported by Fermi Transport? (With the only vector being parallel transported being the four velocity vector?)
Homework Statement
I have the circuit above.
When I have the switch at A, the capacitor C1 is charging at 100μF is at 10V.
I then discharge the capacitor by connecting the switch to B.
I was asked to calculate the time constant.
I thought the capacitors were in parallel but according to...
Homework Statement
We need to find I1,I2,I3 (current through all the three branches)
Homework Equations
I know that if emfs *of same value* are connected in parallel,then they can be replaced with a single emf of that same value,and that's where the problem comes in.There are 3 emfs,all of...
Homework Statement
A mass ##m## hangs from a combination of two springs, each with spring constant ##k##, connected in series. If the mass is doubled to ##2m## the mass will hang lower by a distance ##h##. If three such springs are arranged in parallel to support a mass of ##5m## what will be...
Homework Statement
Ex. 2. Express each of the following by an equation:
(a) Two vectors A and B are parallel.
(b) Three vectors A, B and C are co-planar.
Homework Equations
C = A + B
3. The Attempt at a Solution
I understand (a) the answer being B = (alpha)*A because that is a scalar...
Hello. Something has been bothering me for a while now:
Consider a circuit with one battery and only one light bulb, for example. We have a value for the resistance of the bulb (R) and there is also one value for voltage (U) and one for current (I).
Now, let's imagine that we connect a new...
Homework Statement
Two Ohm's resistors in parallel consume power of 76 W and 24 W.
What power will each of them consume if transfer them to the serial circuit with the same voltage of source.
Sorry for my bad english translations I m not use to writing questions in English.. So what confuses...
< Mentor Note -- thread moved to HH from the technical physics forums, so no HH Template is shown >
Hi,
I was working on a the source transformation and i got to the part where there are two current sources in the circuit. The current sources were added together (giving they were going in the...
Energy of a parallel plate capacitor with charge Q and potential difference V can be calculated in two ways:
1)Work done in bringing charge dq from infinty to the capacitor when there is potential V= q/C on the positive plate and V= 0 on the negative plate is dW = (q/C)dq
integrrating from 0 to...
Hello all. Thanks for taking up your time to read my post.
I checked the currents that passed through several LEDs for MIC2287CBD5 as the datasheet of http://www.kynix.com/uploadfiles/pdf2286/MIC2287CBD5.pdf at a particular voltage. They varied from 12.0 to 15.1 mA at 3.0 V. I then connected...
Homework Statement
I want to find different parameters of series and parallel RLC
for series RLC we have this transfer function
and we know that transfer function of second order system is something like this:we can assume H0=1
but is wrong(when you use only denominator you find out that...
Homework Statement
what is the value combined impedance of the parallel circuit ?when R=25 ,X[c]=100 and X[L]=25
Homework Equations
I think we use this equation to solve parallel impedance ....
The Attempt at a Solution...
I'm currently in a GR class and have come across the notion of parallel transport, and I've searched and searched the last few days to try and understand it but I just can't seem to wrap my head around it, so I'm hoping someone here can clarify for me.
The way I picture parallel transport is...
I have learned that the electric field between parallel plates are independent of distance
since E=V/d
so if I increase the distance between parallel plates, the E will decrease, right?
if I am right on the previous statement, then why does the electric field are independent of distance?
Homework Statement
A light bulb (L1) and a cooker (R1) are connected to the same wire. The wire consists
of two copper conductors with a cross section of 1.5 mm2 and a length of 22.3 m.
When SW1 is closed the heating element of the cooker will be turned on. It has a
power dissipation of 2300 W...
Homework Statement
I want to find the angular frequency of the system below
Homework Equations
F = -kx
U = 1/2*k*x^2
The Attempt at a Solution
But here's the answer:
I don't know how come this solution. Any one help me? Thank you so much.
Lets suppose we have a two vectors where ##\vec u=c\vec r## where c is just a reel constant number.Can we say ##\vec u## and ##\vec r## is parallel.
How can we define ""parallel" vectors ? Like in most general way.
I know that when c is positive real number they are definately...
Homework Statement
Homework Equations
P = k A \frac{dT}{dx}
The Attempt at a Solution
a)
Assuming steady state transfer, energy transfers through rods at the same rate everywhere.
Letting T be the temperature at the point of welding.
P_1 = k_1 A \frac{T_h-T}{L} \\ P_2 = k_2 A \frac{T -...
Homework Statement
I have an elementary doubt with the calculation of the capacitance of a capacitor of parallel plates that has a dielectric in the middle.
https://ibb.co/b0W4BQ
Homework Equations
∫D⋅ds=Q
D=E+γP
C=Q/V
The Attempt at a Solution
Suppose the top plate has a positive charge...