What is Parallel: Definition and 1000 Discussions

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.

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  1. S

    Questions on Parallel Transport: Riemann Tensor & More

    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...
  2. L

    Triangles and parallel lines problem

    The picture has the problem and my attempts, I need guidance. Thanks in advance
  3. T

    Springs in series and parallel

    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...
  4. C

    Solving for Angular Frequency in Series R to Parallel LC

    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...
  5. E

    Using Spivak and Apostol Calculus in parallel?

    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...
  6. ShayanJ

    Parallel plate capacitor with layers of dielectrics in between

    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...
  7. A

    Asymmetrical charged parallel plates capacitor

    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?
  8. D

    MHB Solve Christmas Light Wiring Problem: Series vs Parallel

    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...
  9. G

    Polarized Slab between Parallel Plate Electrode

    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...
  10. steves1080

    Calculate flow rate in parallel pipes

    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...
  11. V

    Uncertainty error of resistors in parallel

    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...
  12. STEMucator

    Practice with series & parallel

    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)...
  13. davidbenari

    Flow rate is calculated using only the parallel velocity

    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...
  14. I

    Are Parallel Circuits Affected When One Bulb Goes Out?

    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?
  15. C

    Diamond Circuit, Three EMF Sources -- Parallel?

    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!
  16. leviterande

    Current carrying conductor has a net force parallel to earth, why?

    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...
  17. J

    Collision -- why there is no parallel component?

    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.
  18. kartikwat

    Can a capacitor still function without both plates?

    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
  19. O

    Hitting time of two or three parallel random walks

    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...
  20. J

    Write F as a sum of an orthogonal and parallel vector

    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} -...
  21. EternusVia

    Vector Question - u = u1+u2 where u1 is parallel

    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...
  22. dwn

    Mutual Inductance (Parallel) Analysis Process

    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...
  23. G

    Can you explain voltage sources in series and parallel completely?

    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...
  24. V

    Proving derivatives of a parametrized line are parallel

    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...
  25. P

    Kirchoffs Law Parallel Circuit-with only I and R given.Solvable?

    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...
  26. N

    Connecting headphones in parallel?

    So i was wondering, if i connected two headsets in parallel before the jack would it send the same sounds to both head sets?
  27. J

    Determining the Direction of Current Flow in Parallel Wires

    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...
  28. F

    E-field in a cylinder with a hole parallel to its axis

    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...
  29. tristanm

    Parallel Plate Capacitor and Battery

    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...
  30. I

    Engineering Resistors in parallel Thevenin circuit

    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...
  31. V

    Can someone please explain what the parallel axis theorem is?

    Can someone please explain what the parallel axis theorem is?
  32. K

    Mass - Spring - damper in Parallel

    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...
  33. R

    Electric Field of a Not So Parallel Plate Capacitor

    Does anyone have any idea how I could begin to examine the field of two conducting plates which are side by side instead of parallel ?
  34. R

    What is the moment of inertia and angular velocity of a released rod?

    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...
  35. E

    Parallel RLC Circuits - Help please

    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...
  36. dwn

    Parallel RC with current source

    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...
  37. R

    Question about Flow between Parallel Plates

    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...
  38. C

    How Much Voltage and Current Do I Need for 8 LEDs in Series and Parallel?

    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?
  39. A

    Velocity of a bar on parallel conducting rails

    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...
  40. gfd43tg

    Heat transfer parallel vs. series

    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?
  41. B

    Series parallel LC tank circuit Resonant Frequency equation?

    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.
  42. M

    Circuit problems with capacitors and parallel emf sources

    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...
  43. T

    Two capacitors are connected in parallel

    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...
  44. gfd43tg

    Navier Stokes two infinite parallel plates

    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...
  45. N

    So, the title is: Parallel Vectors: Is AP Parallel to u?

    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...
  46. dwn

    Engineering RLC Parallel Circuit: Solving for Current & Energy

    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) =...
  47. N

    Momentum vector always parallel to velocity

    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...
  48. P

    Electric field between parallel plates

    I'm a little confused between two approaches to this problem: First approach (the one that makes sense to me): Choose a Gaussian surface over each plate. We have 2EA=σA/Eo so E=σ/2Eo for the positively charged plate and likewise for the negative plate. Within the capacitor, the fields...
  49. A

    Engineering RC parallel circuit, find the value of R and C

    Homework Statement The circuit is a Parallel RC Z= 105KΩ∠-27 and Frequency is 50 Hz. I was given the following information and hints. 1/z = 1/R + jwc I need to find the common denominator of 1/R + jwc, Invert it to find z and simplify Z into one real and one imaginary part...
  50. ajayguhan

    Parallel path in lap and wave winding

    i know that in lap winding the number of parallel path are equal to the number of poles, and in wave winding its always two. but where is that parallel path..? , i just don't get it. i'm new to this subject. thank you.
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