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. H

    MHB Area of multiple circles inside a rectangle

    Figure shows six identical circles inside a rectangle. The radius of each circle is 24 cm. The radius of the circles is the greatest possible radius so that the circles fit inside the rectangle. The six circles form the pattern shown in Figure so that • each circle touches at least two other...
  2. A

    Calculating the weight when faced with multiple accelerations

    Hello! Now what I've done is first calculate the acceleration. a = 1,962 m/s^2. Than I tried looking at the solution simply through the Newtons laws (or axioms I don't know how to say it in english). Since the elevator is moving through the air the gravitation constant has to be taken into...
  3. Arman777

    A What are the parameters that are the same in CMB data for multiple models?

    In cosmology, CMB tells a lot about which cosmological model can be acceptable or not. For instance we know that, whatever the cosmological model we use ##\theta_*## parameter will be always the same. Is there any other parameters that is listed in this picture is **model-independent** ?(i.e...
  4. Jason-Li

    Comp Sci Seeking Guidance on Working Through Tank Problem with Multiple Tanks

    Hello all I come to again seeking guidance... There is another thread but he seems to have pulled formulas from somewhere other than our learning materials to reach the conclusions. Looking at this question and I can't figure out where to start really, the examples in out learning materials...
  5. Rongeet Banerjee

    Are Multiple Allelism and Gene Polymorphism the same?

    Is Multiple Allelism and Gene Polymorphism same ?If not then why?
  6. sahilmm15

    Stumped: Can't Solve the Problem After Multiple Tries

    I cannot attempt the problem after multiple tries. Can you give me an insight to the problem.
  7. A

    I What happened to the range of frequencies after recombination?

    So as the hot plasma of a universe expanded it grew colder and at "recombination" it reached a state where it isn't opaque to em radiation any more unlike dense plasma which is. So we say this is the moment the CMB started. But this got me thinking, after recombination the matter was still some...
  8. S

    I Wheeler's Pre-geometry model and multiple universes?

    John A Wheeler proposed that the universe emerged from a primordial chaos (some sort of pre-geometry or pre-space) from where all physics emerged in the universe. I thought this could be interesting in the context of multiple universes. Therefore, has any well renowned physicist considered...
  9. R

    Is it possible to put multiple accelerator grids in an ion engine?

    Is it possible to put multiple accelerator grid in ion engine instead of one? So we will get higher exhaust velocity and benefit for us right? or is there any disadvantages?
  10. N

    B Did the Big Bang follow multiple bangs? How did matter come to collide?

    I understand that the Big Bang was an explosion from an extremely tiny mass with particles and quanta traveling away into empty space (anything out there at the instant of this bang being too far to hit yet). I also understand that some ejecta from the Big Bang have been colliding since then...
  11. A

    Angular momentum conserved with multiple gears?

    Say we have a motor attached to the Earth with gear A, that drives identically sized gear B. Gear B spins on its own axis and but is also attached to ground. Torque between gears is equal. Technically each gear has equal but opposite AM right, but If I take Earth into account, how is Ang...
  12. phinds

    US School Districts: Changing Grading System - Is It A Good Idea?

    The Week magazine Oct 30, 2020 page 8 To be fair, it's not quite as simple-minded as that makes it sound, but it is still, to me, is a terrible idea. Another progressive education idea that is well-meaning but likely to be disastrous in practice. Here's an article with more detail...
  13. Q

    Proper free-body diagram for a shaft experiencing multiple torques

    I wish to draw a proper free-body diagram for this shaft. However, my FBD does not agree with the solutions manual. If someone could point out where I erred, that would be great. This is what I drew: From my FBD, it is clear that the maximum torque is present in section DE of the shaft. We...
  14. willDavidson

    PCB design: multiple layers vs heavier copper

    I am designing a board which will have relatively high current. The options are to use heavier copper (4 oz), use two layers (2 oz), or 4 layers (1 oz). Are there any benefits to using one configuration over the others?
  15. E

    Net electric force of multiple charged particles in 3-d space

    I draw the graph like this: For (b), I divided each force vector to e from p1 and p2 as x and y parts. I computed them and got Fx=-4.608*10^(-15)N Fy=-2.52*10^(-15)N However, I am not sure whether I did it correctly or not... I appreciate every help from all of you! Thank you!
  16. S

    I Multiple Universes Coming into Contact

    Imagine there were two simultaneous Big Bangs, each producing an independent Universe, and well separated from each other at their formation. Presumably because each would have its own unique set of initial conditions and would follow its own development timeline, they would each have different...
  17. L

    Momentum and force multiple choice

    i. Rearranging the equation for kinetic energy in terms of momentum; 1/2mv^2=(mv)^2/2m=p^2/2m Inputting the values given KE=1^2/2*4kg = 1/8 J Kinetic energy of a body with twice the momentum; KE=2^2/2*2kg =1 J The ratio of the kinetic energy of the first body to the second body is therefore...
  18. AN630078

    Gravitational Field Multiple Choice Help

    1. I believe that the gravitational field strength would decrease because it is inversely proportional to the square of the distance from the centre of the Earth, g∝1/r^2. Gravitational potential energy at large distances is directly proportional to the masses and inversely proportional to the...
  19. K

    I How do I compute the cumulative probabilites of multiple bell curves?

    I took statistics in university about two years ago, but I'm rusty. I was trying to write a zero player game - except sometimes, the player can control one of the characters, and I needed to be able to compute these probabilities. That said, I almost put this in homework help, but it is not...
  20. O

    I How Accurate is Propositional Logic in Explaining Multiple Integrals?

    The following 3 pages are extract from the book: "CALCULUS VOL II" by Tom M. Apostol My interpretation of these 3 pages is worked out in the attached PDF file. Entirely done in propositional logic language. Can anyone point out the mistakes or incorrect logical steps (if any) in the attached...
  21. S

    Binnig's fractal evolution applied to multiple universes?

    Gerd Binnig, Nobel laureate in physics in 1986, proposed in his article "The fractal structure of evolution" [1] that everything in the universe, including its laws, had changed and became what we have got today through a process which mixes some concepts from darwinian evolution and fractal...
  22. J

    Divergence Theorem Problem Using Multiple Arbitrary Fields

    My main issue with this question is the manipulation of the two arbitrary fields into a single one which can then be substituted into the divergence theorem and worked through to the given algebraic forms. My attempt: $$ ∇(ab) = a∇b + b∇a $$ Subsituting into the Eq. gives $$ \int dS ·...
  23. cwill53

    I Chain Rule in Multiple Variables

    The following link leads to a question I asked on the mathematics Stack Exchange site. https://math.stackexchange.com/questions/3790900/chain-rule-with-a-function-depending-on-functions-of-different-variables/3791017?noredirect=1#comment7809514_3791017 I want to understand how the chain rule...
  24. U

    I Unclear step in "Change of variable in a multiple integral" proof

    I'm studying the proof of this theorem (Zorich, Mathematical Analysis II, 1st ed., pag.136): which as the main idea uses the fact that a diffeomorphism between two open sets can always be locally decomposed in a composition of elementary ones. As a remark, an elementary diffeomorphism...
  25. entropy1

    I Single world or multiple worlds?

    In the Many Worlds Interpretation, I would formulate measurement something like this: {Cat_alive + Cat_dead}[Observer] -> {Cat_alive}[Cat_alive_observed] + {Cat_dead}[Cat_dead_observed]. So does that mean that the cat and the observer are entangled after measurement? Does this mean there are...
  26. F

    Choosing Limits of Integration for Velocity Calculation

    To get the velocity I integrate the accelaeration function and get v_0-c*(t_2-t_1)^2/2 since I think these should be the boundaries of the definite integral. Bu the correct answer is v_0-c*(t-t_1)^2/2 and they integrate from t (upper limit) to t1 (lower limit). Could you please help me to...
  27. Daniel Lima

    Python How to plot a function with multiple parameters on the same set of axes

    I attached a file with some explanations of the variables in the code and the plot that I should get. I don't know what is wrong. Any help will appreciated. from scipy.integrate import quad import numpy as np from scipy.special import gamma as gamma_function from scipy.constants import e...
  28. M

    MHB Maximising the difference between multiple distributions

    I am trying to come up with a parent loss function for the following neural network model. On top of that the algorithm for processing an image would also be helpful. The quad-tree compression algorithm divides an image into ever increasingly small segments (squares) and stops in a particular...
  29. S

    I Wheeler's Mutability principle and multiple universes?

    Physicist John A Wheeler proposed the "Principle of mutability" which said that it could be the case that the universe would eventually shrink in a "Big Crunch" and the be re-born in another Big Bang. He proposed that the laws of physics (even the considered most fundamental ones) would change...
  30. L

    Refraction through different mediums: calculating multiple angles help

    1. I have calculated the first angle using Snell's Law and with subsequent proceeding angles I am uncertain whether my workings are correct since I have used basic laws of geometry that all internal angles of a triangle add up to 180 degrees and that alternate angles are equal to find proceeding...
  31. Y

    MHB Objective function of a linear program with multiple variables.

    Hello, Please I need help to find the objective function of a linear program (attachement : example). I tried to figure it out from the formula provided in (attachement : formula) but I couldn't understand it, it's written (MIN(lambda)wj) I think it's the key to resolve my question ! ( Full file...
  32. Y

    Objective function of a linear program with multiple variables

    Hello, Please I need help to find the objective function of a linear program (attachement : example). I tried to figure it out from the formula provided in (attachement : formula) but I couldn't understand it, it's written (MIN(lambda)wj) I think it's the key to my question ! ( Full file is...
  33. arcTomato

    [Perl] How to open multiple files and print different content

    Hello PF! I would like to know how to open multiple files and print different content to each files. The problem is $line_no1,2. means, I tried to write $line_no1,2 as a different value for each of files(tmp1~4.pco) using a while and for statement. I tries like this but dosen't work... The...
  34. S

    Engine working between multiple temperature baths worse than Carnot

    Let the new engine, NE, extract heat from a certain subset of these baths, and let heat obtained from the ##i^{\rm th}## bath be denoted by ##Q_i##, and let the heat rejected to the ##j^{\rm th}## be denoted by ##Q_j##. Let the engine perform an amount of work ##W##. Now right beside this...
  35. C

    MHB Finding a formula for the multiplication of multiple formal power series

    Dear Everyone, I am having trouble with finding a formula of the multiplication 3 formula power series. \[ \left(\sum_{n=0}^{\infty} a_nx^n \right)\left(\sum_{k=0}^{\infty} b_kx^k \right)\left(\sum_{m=0}^{\infty} c_mx^m \right) \] Work: For the constant term: $a_0b_0c_0$ For The linear...
  36. D

    Normal incidence of a plane polarized wave through multiple mediums

    Hello everybody, I have to find the amplitudes of a wave that goes through 4 different mediums in terms of ##E_0##, suffering reflection in the first three but not the last one. I calculated the corresponding reflection indexes of the three mediums (all of them real). Following calculations, I...
  37. B

    Using Kirchhoff's laws for multiple batteries and resistors

    Hey everyone! Had an attempt at this circuit question, but wanted to check if I got the set up right in order to find the current in the 3rd wire? Here is what I have done Thanks!
  38. M

    Python Running multiple bash scripts simultaneously

    Hi PF! How can I run two bash scripts run1.sh run2.sh simultaneously (having two separate terminals, one for each run.sh, is fine but I'd like to execute the python script from a single terminal)? Won't the below execute run1.sh and then when it's finished execute run2.sh...
  39. PCarson85

    Multiple constraints: Connecting rods for high performance engines

    Summary:: How to combine two formulas to find the material index Attached is the problem I am having trouble understanding. I have been able to do the first two combinations by transposing for A in the mass equation then subsituting into the stress equation. The next combinations (in red box)...
  40. B

    Kirchhoff's law: Circuit problem with multiple batteries and resistors

    Struggling to see if I am doing this right or not from a section of a question I have been given I have drawn out a sketch of the circuit again, and labelled as to what my 1st and 2nd closed loop to be to then apply Kirchhoff's 2nd law I get a negative I_2 current which just indicates that...
  41. Eclair_de_XII

    How to prove that a scalar multiple of a continuous function is continuous

    Suppose ##\alpha=0##. Then ##\alpha f=0##, the zero map. Hence, the distance between the images of any two ##x_1,x_2 \in D## through ##f##, that is to say, the absolute difference of ##(\alpha f)(x_1)=0## and ##(\alpha f)(x_2)=0##, is less than any ##\epsilon>0## regardless of the choice of...
  42. Hiero

    I Optimization of multiple integrals

    The Euler Lagrange equation finds functions ##x_i(t)## which optimizes the definite integral ##\int L(x_i(t),\dot x_i(t))dt## Is there any extensions of this to multiple integrals? How do we optimize ##\int \int \int L(x(t,u,v),\dot x(t,u,v))dtdudv## ? In particular I was curious to try to...
  43. A

    I Changing variables in multiple integrals

    Suppose we have a region R in the x-y plane and divide the region into small rectangles of area dxdy. If the integrand or the limits of integration were to be simplified with the introduction of new variables u and v instead of x and y, how can I supply the area element in the u-v system in the...
  44. J

    Volume fraction of multiple phases

    Afternoon all, Hopefully somebody can help me, I'm doing my final year project and it's looking at the effect of heat treatment on in17, when I run an XRD scan I found that I all the phases sort of hid behind the matrix and so can't really make them out. So I've been looking at using the SEM...
  45. K

    B Multiple Sequential Delayed Choice Experiment

    Hi all; This goes under the heading of experimental predictions... gone awry. Let me say from the start that I think I've got something wrong, and would have no problem having it pointed out to me. I'm a newbie, and I've been boning up on basic quantum physics phenomena on Youtube, and...
  46. benorin

    I An Improper Multiple Integral

    The Lerch Transcendent identity from my paper which may or may not be true, for ##N\in\mathbb{Z}^+##, and I forget the domain of z and y, here it goes $$\Phi (z,N,y) :=\sum_{q=0}^{\infty}\frac{z^q}{(q+y)^N}$$ $$=\int_{0}^{1}\int_{0}^{1}\cdots \int_{0}^{1}\prod_{k=1}^{N}\left(...
  47. M

    I Finding Multiple Local Minima of High-Dimensional Functions

    Hi all, Let me give some background to my question. In computational neuroscience it's now fashionable to train recurrent neural networks (RNNs) to solve some task (working memory for example). We do so by defining some cost function and training the model weights to minimize it (using...
  48. I

    Using multiple alternators at once for a power source

    Hi I need to create a electricity generator, I've got plenty of car alternators and car batteries, all are 12v. I know how connecting batteries in parallel / series, basically i could connect like 20 car batteries to have a 12v massive amperage power bank which would cause an issue with wire...
Back
Top