What is Multiple: Definition and 1000 Discussions

A multiple-unit train or simply multiple unit (MU) is a self-propelled train composed of one or more carriages joined together, which when coupled to another multiple unit can be controlled by a single driver, with multiple-unit train control.
Although multiple units consist of several carriages, single self-propelled carriages - also called railcars, rail motor coaches or railbuses - are in fact multiple-units when two or more of them are working connected through multiple-unit train control (regardless if passengers can walk between the units or not).
The term multiple unit does not denote locomotives using multiple-unit train control.

View More On Wikipedia.org
  1. M

    Solving Trig Integral: (sin(2x))^3(cos2x)^2dx Using Substitution

    Homework Statement Integrate: (sin(2x))^3(cos2x)^2dx Homework Equations Using substitution Cos2x= (1-(sinx)^2) The Attempt at a Solution I sub u= sin2x But then got nowhere because I had cos2x to the power of 2 and I don't know how to compensate for it with du. [/B]
  2. E

    Lagrange multipliers for multiple constraints of multiple coordinates

    Homework Statement Sorry for the long derivation below. I want to check if what I derived is correct, I can't find it anywhere else, feel free to skip to the end. Thanks! I am confused by how to write the EL equations if I have multiple constraints of multiple coordinates. For example, let's...
  3. 1

    MATLAB Extracting multiple data in a MATLAB matrix

    Hey everyone. I want to extract numerical data from files let's say g0001.txt to g0060.txt and store it in a matrix with each element is an array. like this: M=[g1() g2() g3() ...g60()] matrix order can be 1 x 60 , i.e. to say 1 row and 60 columns and each element is an array...
  4. R

    Calculating rotation based on multiple accelerations

    Hi, I would like to ask you If you could help me with a (I guess quite simple) problem I have to solve. To put it into context: I want to program a helicopter for a videogame with a physical model. So the player controlls throttle, pitch, ... and the game calculates the correct response...
  5. A

    Common multiple of two numbers

    Homework Statement I want to demonstrate that the numbers that are multiple of a and b at the same time, are the multiples of ab. Let a be 2 and b be 3. In the middle of the proof i get to a point that i have to prove that if 3*k2 is multiple of 2 then k2 is multiple of 2.Homework Equations...
  6. J

    Can you use multiple wires to wind a solenoid?

    I am curious if an alternating solenoid coil needs to be wound with a single piece of wire from end to end, or - can each loop in the solenoid be made of a separate wire and stacked on top of the previous, as long as each termination is connected to the proper + / - terminal. Essentially - is...
  7. M

    Photons interacting with multiple matter particles

    Everyone learns the picture associated with e.g. the Balmer series in Hydrogen: a photon with a precise energy flies in and is absorbed by an electron which is excited into a higher energy state, which then decays to the ground state, re-radiating a photon of that precise frequency. If we...
  8. A

    Time Travel and Multiple universes hypothesis

    The Multiple universes hypothesis states that there are infinite number of universes, collectively known as the "multiverse". If a person is about to travel back in time, he will create his own parallel universe upon arrival in the past. So if he kills "his" grandfather, a paradox would not...
  9. S

    Sailing along multiple Bearings Problem

    Homework Statement A man sails 30 km from a port P to a lighthouse Q on a bearing of 128 Degrees. Then he sails another 25 km to R on a bearing of 295°. Calculate the distance of PR. Homework Equations N/A The Attempt at a Solution Well , actually I solved all of the problems before this...
  10. BiGyElLoWhAt

    Ranking force on q via multiple charge density vs. theta graphs

    Homework Statement A point charge +q is placed near a curved, charged, insulating rod as shown at the left below. (I'll just draw it, I don't have access to a camera at the moment) The charge is placed near the center of the curvature of the curved rod. For each of the five cases A-E, the...
  11. B

    Multiple definitions for equilibrium

    During my studies I failed to understand thermonynamics and compared the whole subject to black magic. This frustrated me a lot. Years later I tried to restudy it by myself reading sources with less conventional approaches. I had finally come to believe I could make sense of it. But re-reading...
  12. P

    Average of Multiple Stress Tensors

    I have a cluster of voxels and a 2nd order stress tensor corresponding to each voxel. I was wondering as to what would be the best method to calculate an average stress tensor for the cluster as a whole? Any constructive inputs would be greatly appreciated.
  13. T

    Quantum entanglement and multiple dimensions

    In its broadest sense, quantum entanglement means that two 'particles' separated by distance, and moving away from one another, behave as if they are next to one another. In a mental experiment, you can imagine what the world might look like to these two particles as they zoom away from one...
  14. P

    Calculus of variations: multiple variables, functions of one variable

    Simply put, can you find the function which extremizes the integral J[f]=\iint L\left(x,y,f(x),f(y),f'(x),f'(y)\right) \,dx \,dy Where ##f## is the function to be extremized, and ##x## and ##y## are independent variables? A result seems possible by using the usual calculus of variation...
  15. V

    Random nature of multiple scattering

    I have some confusion about multiple scattering. We always say that the problem of single scattering is always deterministic in nature.But while modeling the problem of multiple scattering, we take that the problem is stochastic in nature. I don't understand why. Why multiple...
  16. T

    Calculating Taylor polynomials , Multiple Questions

    Whats up guys ! currently studying for calculas exam and could use someone going over my answers ! Homework Statement Q1. Calculate the taylor polynomial of degree 5 centred 0 for f(x) = e-x. Simply coeffcients and use the error formula to estimate the error when p5(0.1) Q.2 Q1...
  17. T

    Circuit with multiple batteries finding the current through each one

    Diagram: http://gyazo.com/0b719e6d399ad894d2c48ce06d994672Homework Statement In the figure the resistances are R1 = 0.77 Ω and R2 = 1.8 Ω, and the ideal batteries have emfs ε1 = 2.1 V, and ε2 = ε3 = 3.5 V. What are the (a) current (in A) in battery 1, (b) the current (in A) in battery 2 and (c)...
  18. gfd43tg

    Linear program with multiple norm vectors

    Homework Statement In the previous few modules you studied the problem of minimizing ##\| Ax -b \|_{2}## by choice of ##x##. So far you've done this in Matlab using either the backslash operator or the command pinv. Now that you've been exposed to linear programming, you have the tools to solve...
  19. M

    Integer solutions for multiple variable equations

    Obviously it will take some brute-force. But how do I minimize the brute-force needed (optimize)? I know one can solve Diophantine equations and quadratic Diophantine equations. But what if I have something like 10 (any number) of variables? (what if there are no squares, what if there are...
  20. P

    Multiple birth and cut algorithm

    Hi there I have found an algorithm within the literature that is known as multiple birth and cut. It is in a word fantastic! It seems like it has the potential to solve a problem I have been fighting with. I have been tasked with detecting nuclei in histopathology images and so far the...
  21. F

    PH of a polyprotic acid using multiple equilibria - is this correct?

    Homework Statement Find the pH of 0.02025 M tartaric acid using the method of multiple equilibria given that its Ka1 value is 9.2*10-4 and its Ka2 value is 4.31*10-5. Homework Equations Kaoverall = Ka1 * Ka2 The Attempt at a Solution Please check the Word document. Is my method...
  22. V

    Multiple Choice Kinematics Problem

    Homework Statement Homework Equations The Attempt at a Solution ## α = v\frac{dv}{ds} ## and K is the kinetic energy . In all the four cases ## α = v\frac{dv}{ds} = mgsinθ ## where θ is the angle which the normal to the body makes with the vertical . Fig 1) K...
  23. afcsimoes

    Single photon energy and multiple observers

    I am not a student. I am a retired Chemical Engineer and a retired IT Auditor (ex-ISACA member). My questions are a product of my thoughts about Physics and the Cosmos and my talks with a closer friend. Please answer me. Imagine an atom in a position P in the Universe and n observers, all them...
  24. G

    Schools Focusing on multiple branches of physics for graduate school

    Hi, I finished my M.S. in Astronautical Engineering in 2010, B.S. in Aerospace Engineering in 2009 with a minor in physics, and am finding that the work I have been doing in the aerospace industry for the past 4 years is unfulfilling. I would like to focus on something more research...
  25. T

    Multiple Regression in Excel for Mac

    Hi, I was wondering if anyone familiar with excel on a mac can help me? Am i able to do polynomial regression with different x's who contain different amounts of elements? I have three columns, one contains 252 elements, another contains 53, and the last contains 12. They are all closing...
  26. U

    Multiple variable prediction interval

    Hey! I'm working with some regression related stuff at the moment and i'd need some help with multiple variable prediction interval. Prediction interval for a single variable can be calculated using PI = \hat{\beta_0}+\hat{\beta_1}x_i \pm t^* s_e \sqrt{1+\frac{1}{n} +...
  27. S

    Scoring an item from multiple parameters

    Hi, I would like to score an item. The item has around 10 parameter. Each parameter is depics how it reacts to each tests. Some parameters are just Yes or No. Few other parameters give the percentage of their performance in that particular test. And the remaining are scores. I want to...
  28. F

    Multiple events caused by a single photon

    The situation I am considering is that of a single photon directed at a target (say a photographic plate). My understanding is that the wave function for this system (determined by the whole context of the experiment: photon properties, nature of the target, boundary conditions etc.) gives a...
  29. S

    Adding SNR from multiple detectors

    I am looking at the same object with two detectors. The SNR on each is 2, which is a low probability of detect given a single sensor. However, if I fuse the two what would be the SNR then? Would it be additive (SNR=4) or rss (SNR=2×sqrt(2)) or something more complicated?
  30. A

    Lagrange Multipliers with Multiple Constraints?

    Homework Statement Using Lagrange multipliers, find the max and the min values of f: f(x,y,z) = x^2 +2y^2+3x^2 Constraints: x + y + z =1 x - y + 2z = 2Homework Equations ∇f(x) = λ∇g(x) + μ∇h(x)The Attempt at a Solution Using Lagrange multipliers, I obtained the equations: 2x = λ + μ 4y =...
  31. A

    The multiple derivatives of position

    Hi all, I came across the term placement, and presentment and the likes. I was wondering what they may mean in physics. I tried a search but the answers were not very clear. I was also wondering what action means in physics. Any answers will be appreciated. Thanks
  32. DreamWeaver

    MHB The Multiple Sine function

    Please excuse the usual rambling preamble (or should that be pre-ramble?), but last year, when idly searching on-line, I happened to chance upon a truly great, great paper by Shin-ya Koyama and Nobushige Kurokawa, concerning the "Multiple Sine function", \mathscr{S}_n(x). The (free) paper in...
  33. BiGyElLoWhAt

    I need a multiple for a linear combination

    I'm working with matrices, so maybe this should be in the calc and beyond, but my problem is with the algebra (-.-) I've reduced my matrix to this: ##(b-a)(c-a)\left | \begin{array}{cccc} 1 & (b-a)^{-1} & (c-a)^{-1} & 1 \\ 0 & 1 & 1 & (d-a) \\ 0 & 0 & (c+a) - (b+a) & (d^2- a^2) - (b +...
  34. S

    Every positive integer except 1 is a multiple of at least one prime.

    Homework Statement The problem (and its solution) are attached in TheProblemAndSolution.jpg. Specifically, I am referring to problem (c). Homework Equations Set theory. Union. Integers. Prime numbers. The Attempt at a Solution I see how we have all multiples of all prime numbers in...
  35. G

    Integrating (1+cos(x))/sin(x) with Multiple Choices

    Homework Statement ∫(1+cos(x))/sin(x) dx This is a multiple choice with the following options a. Ln|1-cos(x)| +C b. Ln|1+cos(x)| +C c. sin(x) +C d. csc(x)+tan(x) + C e. csc(x) +cot(x) +C Homework Equations The Attempt at a Solution ∫(1+cos(x))/sinx dx )...
  36. T

    Is there an irrational multiple of another irrational to yield Integer

    This question specifically relates to a numerator of '1'. So if I had the irrational number √75: 1/(x*√75) Could I have some irrational non-transindental value x that would yield a non '1', positive integer while the x value is also less than 1/√75? Caviat being x also can't just be a division...
  37. Y

    MHB Counting problem - Multiple choice test

    A quiz has 4 questions with 3 choices for each answer. If you guess every answer, in how many different ways can you complete this test?__________ How many students must take this test to guarantee that at least 3 identical answer sheets are submitted?__________ I know how that the answer to...
  38. B

    Partial differentiation problem, multiple variables (chain rule?)

    Homework Statement if z = x2 + 2y2 , x = r cos θ , y = r sin θ , find the partial derivative \left(\frac{\partial z}{\partial \theta}\right)_{x} Homework Equations z = x2 + 2y2 x = r cos θ y = r sin θ The Attempt at a Solution The textbook says that the equation should be...
  39. Avatrin

    Kirchoff's loop rule with multiple voltage sources

    Hi Let's look at this: The issue I am having is that while I know that this is accurate: I just cannot wrap my head around why. I1 is a result of both voltage sources. So, while the equations clearly tell me that the voltage drop across the resistor R1 is I1R1, I cannot wrap my...
  40. N

    Bisection method and multiple roots

    Hello, I have a polynomial of order n and I want to find all it's roots with bisection method. Is it possible? I already wrote an algorithm to find a root and it's works nice for finding one of it's roots, but what about others? Nikola
  41. A

    Using ifstream to open multiple files

    I am currently working on a C++ program for school. I am actually not finding too much difficulty in constructing the functions, enum-types, arrays and structs, however, I am finding great difficulty in using on ifstream variable to open multiple files. I have posted the entire code that I...
  42. D

    Data analysis - Comparing temperature data from multiple sources

    Data analysis -- Comparing temperature data from multiple sources Dear Peter, I am Engineering student from Japan.I have installed 8 sensors,4 at rural and 4 at urban area.Those sensors measures the temperature and other property in time series format.Now, I am using one month data and...
  43. C

    HP 48G equation solver and multiple solutions

    Dear all, I am currently completing a water engineering subject at university as part of my civil engineering studies. For this subject (and probably others in future), I occasionally need to solve for an unknown value in a quadratic or cubic function, where there are three possible solutions...
  44. H

    Electric potential due to multiple charges

    Hello! For Single Charge: I studied the formula for electric potential for a point charge (V=kq/r). It was derived when the test charge approached the source charge from infinity "head-on". In this case the electric field due to source charge and displacement of test charge were vectors in...
  45. S

    Recurrence relation involving multiple sequences

    Homework Statement I'm given a recursive sequence with the following initial terms: ##\begin{matrix} f_0(0)=1&&&f_1(0)=0\\ f_0(1)=2&&&f_1(1)=1 \end{matrix}## Now, I'm asked to justify that we have the following recursive relations: ##\begin{cases} f_0(n)=2f_0(n-1)+f_1(n-1)\\...
  46. R

    Seemingly simple multiple integral substitution

    Homework Statement This problem seems fine but has me stumped for some reason... For the variables u=x2−y2 v= x y Under the condition u>0 We're simply asked to determine x(u,v) and y(u,v) so that we can eventually use them to solve a multiple integral by substitution. Homework Equations...
  47. Ookke

    Multiple entangled particles and no-communication

    Does the quantum no-communication theorem apply to multiple particle entanglement as well? To illustrate the idea, suppose we had particles A, B and C with entangled spin. We measure A and B locally using, say, detector angle 0 for particle A and angle 45 for particle B. Particle C is measured...
  48. T

    Mass of planet expressed as multiple of earth's mass

    Homework Statement On the surface of Planet X, the gravitational acceleration is 2g. If the diameter of Planet X is 1/3 that of Earth's, what is the mass of Planet X, expressed as a multiple of Earth's mass? Homework Equations F=G\frac{m1m2}{r^2} The Attempt at a Solution let...
  49. J

    Different way of calculating power factor from multiple sources

    Hi, I did a lot of googling and tried to search every forum I could, but I didn't quite found what I was looking for. Sorry if this has been asked before, english isn't my first language so there's a chance that I used wrong words to search for this question. Also I'm not sure if you use...
  50. M

    Reaction rate for multiple steps

    Just a curious question. How would the rate for a net reaction involving multiple steps of all similar (perhaps exact - i know it's highly unlikely) activation energies be calculated? I've been told to just look at the slowest step (highest EA) in all cases, even if they are similar in...
Back
Top