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.

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  1. L

    Equations with multiple solutions

    Given the equation (x+4)(2-x)=x+4 How come it's wrong to divide both sides by x+4? Should it not give the same solution as multiplying out the left side and solving the quadratic equation?
  2. T

    Engineering Circuit Analysis (Equation) with Multiple Voltage Sources

    Homework Statement Derive the differential equation that relates the voltage (V) to the current (I) entering the circuit. Homework Equations Let: ic = C dV/dt = current traveling through the capacitor (C) ik = (V+Ek) / Rk = current traveling through the potassium (K) channel iNa = (V-ENa) /...
  3. X

    Unit vectors for multiple particles? (Quantum Mechanics)

    It's been a little bit since I have studied multi-particle quantum mechanics and I am a little rusty on the notation. Let's say I have a wave function, that consists of the tensor product of two spaces, one for each particle moving, ##|\psi_1,\psi_2>##. Each of these particles is moving in a...
  4. A

    Law of Multiple Proportions practice work

    Homework Statement 5 There are four common oxides that contain only N and O. The composition of three of the compounds is shown below. According to the law of Multiple proportions, which of the four (a, b, c, d) could not be one of the four oxides of nitrogen? a. 1.000 g(N) combined...
  5. Aner

    How do I solve this multiple integral in the given domain?

    Homework Statement Hi, I have a problem with the following exercise. Let C={(x,y,z)∈ℝ3 : x2+y2+z2≤1, z≥√(3x2+8y2)} be a subset of ℝ3. Calculate ∫∫∫C z dxdydz.Homework Equations Spherical coordinates, given by x=ρsinΦcosθ, y=ρsinΦsinθ, z=ρcosΦ, and cylindrical coordinates which are x=ρcosα...
  6. STEMucator

    Multiple BJT Analysis: Homework Statement

    Homework Statement Hi everyone, this is not homework, but I can't seem to see something. I have a multiple BJT circuit I've drawn, and I want to analyze it: Homework EquationsThe Attempt at a Solution Assume the transistor ##\beta##s are equal for both transistors and are known. Assume...
  7. J

    Moment of Inertia of multiple bodies in contact

    What is the overall moment of inertia of many cylinders in contact, where each is rotated about an axis through its center of mass. For example, a set of rollers. (See picture)
  8. C

    Rotating multiple objects around an axle?

    I'm looking for a way to rotate blocks. There is a single axle going through the blocks.. say there are a dozen of them. I am trying to figure out a way to rotate each block individually to one of the 4 sides based on different inputs. I am also trying to accomplish this with a single motor...
  9. JasonHathaway

    Multiple thermodynamics problems

    Homework Statement http://imgur.com/a/6Ogpx Homework Equations H=U+PV Q-W=m(u2-u1) The Attempt at a Solution http://imgur.com/a/6Ogpx
  10. Albert1

    MHB Max n for Sum of 3 Numbers Multiple of 27 in A

    $A=\begin{Bmatrix} {1,2,3,4,5,------,2015} \end{Bmatrix}$ if we pick $n$ numbers from $A$, we call it the set $B$ ,and the sum of any three numbers from $B$ are multiple of 27 ,find $max(n)$ , and the largest number we can choose from $A$
  11. Kerrigoth

    Calculating multiple magnitudes for induced electric field

    Let's say I place two different size conducting loops inside of a uniform magnetic field. For the sake of the diagram I have the loops share a point, but just treat them as though they are not touching. Then I decrease the value of the magnetic field very quickly. \frac{dB}{dt} =...
  12. R

    Fermi energy of multiple electrons, infinite potential well

    Homework Statement [/B] Five free electrons exist in a three-dimensional infinite potential well with all three widths equal to a 12 angstroms. Determine the Fermi energy level at T 0 K. Homework Equations E = [(h_bar*pi)2/(2*m*a2)]*(nx2 + ny2 + nz2) The Attempt at a Solution Tried using EF...
  13. A

    Area in polar coordinate using multiple integral

    The question is to find the area of a disk, r ≤ 2a×cos(θ) as in the figure "example-just an illustration" I used two methods, each gave different wrong answers - integrate 2a×cos(θ) dθ dr - from θ=0 to θ=π/2 and from r=2a to r=2a×cos(θ) ; then I simply multiplied the answer by 2. - integrate...
  14. cpscdave

    Postioning of multiple Omidirectional antenna's (900mhz)

    Howdy folks, Looking for some advice from people who probably have more experience with this. This site I'm at has 5 wireless serial radios (industrial wireless). They operate at 900MHZ. Each radio is configured to have a wireless channel that is offset from the rest. They are currently...
  15. gracy

    Multiple fusion: daughter cells different from parent cell?

    I think in Multiple fusion daughter cells are different from parent cell.I interpreted this by looking at the image below Have I interpreted correctly?Is this image reliable?
  16. tomdodd4598

    Spin Matrices for Multiple Particles

    I have two questions, but the second is only worth asking if the answer to the first is yes: Are the spin matrices for three particles, with the same spin, σ ⊗ I ⊗ I, I ⊗ σ ⊗ I and I ⊗ I ⊗ σ for particles 1, 2 and 3 respectively, where σ is the spin matrix for a single one of the particles? I...
  17. M

    Study Tips (For multiple conditions) -- Mech Engineer Studies

    I'm currently a mechanical engineering student and many courses that I take involve topics that have multiple conditions. For instance if event "A" happens then apply Table "a" or Equation "aa". It becomes difficult to solve problems when topics have multiple conditions especially when similar...
  18. Albert1

    MHB Prove Multiples of 2003 are Divisible by 2003

    prove: $1\times 3\times 5\times --------\times 2001+2\times 4\times 6\times --------\times 2002$ is a multiple of 2003
  19. P

    Find power dissipated in circuit with a ground

    Homework Statement 1. Find the power dissipated by 12 ohm resistor 2. What is the potential at points a,b,c,d? Homework Equations P=I^2R I=V/R The Attempt at a Solution For a) 3v-IR-6v-IR=0 9v=I(18) I=0.5 P=0.5^2 * 12 = 3 watts But not sure if the ground changes anything b) unsure if ground...
  20. C

    Wave function of multiple particles

    I've got a question for you all. if there is a wave-function for a single particle, such as a photon.. and there is a wave-function for an electron.. "A wave function in quantum mechanics describes the quantum state of an isolated system of one or more particles. There is one wave function...
  21. A

    What is the difference between zero and multiple quarter wave plates?

    Hello I have a quarter wave plate for 550 nm but i can't determine which it is a zero quarter wave plate or multiple. How can I find m in this formula : delta phase =m*2 Pi +Pi/2 ? Thank you.
  22. R

    Multiple Sources At Different Frequencies (Probability)

    Hi My prob theory is rusty and I am a little embarrassed I can't figure this one out - but: If we have two sources A and B that are producing an output at different frequencies - say A produces outputs every 100ms and B produces an output every 250ms .. Obviously even if they are perfectly...
  23. R

    How to Find Multiple Phase Constants

    Homework Statement A sinusoidal wave traveling in the –x direction (to the left) has an amplitude of 20.0 cm, a wavelength of 35.0 cm and a frequency of 12.0 Hz. The transverse position of an element of the medium at t = 0, x = 0 is y = –3.00 cm and the element has a positive velocity here. (a)...
  24. P

    Air flow measurement with multiple fans

    Hi, My company builds machinery with multi-zone hot air dryers. Each dryer has 2-3 supply blowers that push air through an electric heater and then through a duct into a plenum (one plenum for each dryer zone) at the top of the dryer. Each plenum is fitted with multiple air nozzles that...
  25. C

    MHB Solving 7x=210: Must x be a Multiple of 12?

    Please help me understand how to get the solution to the following: If 7x is a multiple of 210, must x be a multiple of 12? Thank you!
  26. Erwin

    Exploring Qubits and Multiple Qubit Systems

    At first, good evening. I want you to know that Eng is not my first language, so you could find many errors while reading my posts. I was reading something about qubit and multiple qubit systems, which combined can create a powerful processor for a new type of computer. I'm not sure of how...
  27. trytodoit

    Impact of 2 rigid beam without energy loss has multiple slns

    Today, I discussed my friend about two rigid beams impact and assuming no energy loss in the impaction. As in the above figure, the upper beam move down with a uniform velocity ##v_c##, and hit a beam with ##0## velocity. After that the above beam will rotate and move away, which can be...
  28. A

    Dealing with multiple confounding variables

    for example, we have 3 confounding random variables, x1, x2 and x3 with 3 different variances. If we had to treat each variable alone, we would have used odd ratio or relative risk ( depending on what kind of study we are using whether retrospective or prospective) to determine the risk of the...
  29. kostoglotov

    Multiple Integral Challenge Question, I just need a hint

    Homework Statement I will just post an image of the problem and here's the link if the above is too small: http://i.imgur.com/JB6FEog.png?1Homework EquationsThe Attempt at a Solution I've been playing with it, but I can't figure out a good way to "grip" this problem. I can see some things...
  30. kostoglotov

    Multiple Integral Challenge Question, no solution in guide

    I have what I think is a valid solution, but I'm not sure, and when I try to check the answer approximately in Matlab, I don't get a verified value, and I'm not sure if my analytic solution or my approximation method in Matlab is at fault. 1. Homework Statement Evaluate the integral...
  31. B

    Studying How to study multiple textbooks per math subject?

    Dear Physics Forum personnel, I am a college sophomore in US with double majors in mathematics and microbiology. I apologize for this sudden interruption but I wrote this email to seek your advice regarding to utilizing multiple textbooks per mathematical field. I always thought that...
  32. matqkks

    MHB How Can Real-Life Scenarios Help Understand the Lowest Common Multiple?

    What is the most motivating way to introduce LCM of two integers on a first elementary number theory course? I am looking for real life examples of LCM which have an impact. I want to be able to explain to students why they need to study this topic.
  33. matqkks

    How Can LCM Explain Planetary Alignments and Spacecraft Timing?

    What is the most motivating way to introduce LCM of two integers on a first elementary number theory course? I am looking for real life examples of LCM which have an impact. I want to be able to explain to students why they need to study this topic.
  34. S

    Multiple engineering disciplines

    I'm currently studying Software Engineering. But I also have a major passion and interest in mechanical systems and electronics (specifically electrodynamics and pretty much anything which involves physics and mathematics). Since I have a giant greed for knowledge, is there a possibility that I...
  35. A

    Mass dependent multiple scattering

    What is the dependence between multiple scattering (Moliére formula) and the mass of incident particles? I'm reading on my book: "the effect of multiple scattering is generally small for heavy charged particles" but I really can't find a correlation with mass in the Molière formula, while the...
  36. anemone

    MHB What Is the Smallest Multiple of 2013 That Solves This System of Equations?

    Find the least multiple $k$ of $2013$ for which the system of equations $(a^2+b^2)(b^2+c^2)(c^2+a^2)=a^6+b^6+c^6+4k^2$ $abc=k$ has a solution.
  37. T

    Find the zeroes of r. What to do when it is a multiple of theta?

    I understand what to do when theta is by itself such as r=5+10cos(theta) but what if you have the same equation, and it is (2theta) I am on taptalk by the way.
  38. S

    Multiple distributed loads on a beam

    Hi all, my professor has hinted at proposing a question of this sort to us for a shear and bending moment diagram. Now while I am comfortable with having [either] a uniformly distributed load or a varying one, I'm not sure how to deal with both. I can't seem to find anything in my textbook to...
  39. Dostetres

    Multiple BLDC per shaft for marine propulsion

    New to the forum, and can't find this info or examples on the web. I'm interested in the possibility of coupling multiple DC brushless motors to a single drive shaft for main propulsion on a 45-50', twin screw boat. Lots of sail boat examples are given, but my interest is in a power...
  40. gracy

    Thermodynamics multiple choice questions

    Can anyone please provide me a good link for thermodynamics multiple choice questions? I have seen some,but didn't like them. Thanks.
  41. M

    Randomized Complete Block Design - Scheffe Multiple Comparison

    Homework Statement I'm working on a problem in Design and Analysis of Experiments by Dean and Voss. It's Chapter 10 question 11 part c. We have an experiment with 2 treatment factors (each with three levels) and 1 blocking factor (with four levels. It's a randomized complete block design so...
  42. Roynish

    Working out power loss in power lines: Multiple wires

    Hey everyone, This is quite a simple question, I think I'm just getting confused. 1. Homework Statement Given Data: Merlin: Resistance: 2 Ω / km, Maximum Current: 519 Pelican: Resistance: 1.5Ω/km, Maximum Current: 646 Penguin: Resistance: 4 Ω/km, Maximum Current: 357 Sparrow: Resistance...
  43. B

    What is the tension in a rope supporting multiple weights using a pulley system?

    Homework Statement A 100 kg man dangles a 50 kg mass from the end of a rope. If he stands on a frictionless surface and hangs the mass over a cliff with a pulley, the tension in the rope will be: (A) 250 N (B) 333 N (C) 500 N (D) 667 N The answer is B but I am having a difficult time setting...
  44. E

    How to calulate heat transfer though multiple layers?

    I am setting up a hydraulic system on a cable laying machine. We don't have much space for the tank, and I am thinking of constructing it on the "wall" og a big 1m^3 stainless steel sand holder. That would make the tank With 5 faces in open air, 1 face With sand on the opposite side. I am...
  45. TheExibo

    Multiple Choice Question about Enthelpy of Formation

    Homework Statement The term chlorine is used to mean a number of possible types of matter containing chlorine atoms, such as Cl2(g), Cl(g), and Cl-(aq). Which of these forms of chlorine would have a zero standard enthalpy of formation? a) Cl2(g), Cl(g), and Cl-(aq) b) Cl(g) c) Cl-(aq) d)...
  46. E

    Solar across multiple roofs

    I'm designing an off-grid system with solar panels on six different roofs spread out over about a hectare. There is also a generator on the site for backup and when the solar isn't enough. I need all the solar panels to feed one main distribution panel. What are my options? I've considered...
  47. R

    Pump water from multiple tanks under vacuum by common pump?

    Is it possible to pump out water from three tanks all under a different vacuum level using a common pump and common suction header? Or would this arrangement cause problems? The destination is a single tank at atmospheric pressure. See Sketch below. I'm trying to intuitively figure how the...
  48. L

    Crazy multiple choice question

    Hi everyone, a friend once emailed me a crazy multiple choice question. I thought about it for a while but then gave up. I can't find it anymore, but I remember it was something like: What is the probability of answering this question correctly? 1) 100% 2) 50% 3) 33% Does anybody know what the...
  49. Y

    Multiple flowmeters read through mic port of an Android device

    I am attempting to read two hall-effect flowmeters through the audio-in (mic) port of an Android device. I want to be able to read both flowmeters independently. The audio-in port is a standard headset port so it only has one channel for the mic. So far I have been testing with my desktop PC. I...
  50. L

    Uncertainty For Multiple Measurements

    Homework Statement We needed to measure the temperature of a bucket of water using a thermometer which can be read to 0.1°C. Each group would do a single measurement, the data from five groups (including our own) was to be averaged with the uncertainty stated. The data collected was: 19.5...
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