What is Proportional: Definition and 195 Discussions

Proportional representation (PR) characterizes electoral systems in which divisions in an electorate are reflected proportionately in the elected body. The concept applies mainly to geographical and political divisions of the electorate. For instance in the European parliament, each member state has a number of seats that is (roughly) proportional to its population, enabling geographical proportional representation. Almost all European countries also have political proportional representation (ideological proportional representation to the degree that parties honestly describe their goals): When n% of the electorate support a particular political party or set of candidates as their favorite, then roughly n% of seats are allotted to that party or those candidates. The essence of such systems is that all votes contribute to the result—not just a plurality, or a bare majority. The most prevalent forms of proportional representation all require the use of multiple-member voting districts (also called super-districts), as it is not possible to fill a single seat in a proportional manner. In fact, PR systems that achieve the highest levels of proportionality tend to include districts with large numbers of seats, as large as a province or an entire nation.The most widely used families of PR electoral systems are party-list PR, single transferable vote (STV), and mixed-member PR (MMP).
With party list PR, political parties define candidate lists and voters vote for a list. The relative vote for each list determines how many candidates from each list are actually elected. Lists can be "closed" or "open". Closed lists are determined before the elections, usually by the party heads or by primary elections. Open lists allow voters to indicate preferences for individual candidates during the elections.
With single transferable vote, voters can rank individual candidates, rather than just vote for a single "best" candidate. During the count, as candidates are elected or eliminated, surplus or discarded votes that would otherwise be wasted are transferred to other candidates in order of preferences, forming consensus groups that elect surviving candidates. STV enables voters to vote across party lines, to choose the most preferred of a party's candidates and vote for independent candidates, knowing that if the candidate is not elected their vote will likely not be wasted.
Mixed member PR (MMP), also called the additional member system (AMS), is a two-tier mixed electoral system, combining local non-proportional plurality/majoritarian elections and a compensatory regional or national party-list PR election. Voters typically have two votes, one for their single-member district and one for the party list. Parties that are under-represented by district elections are compensated by additional members, such that the total number of members of each party is proportional based on the party-list vote.According to the ACE Electoral Knowledge Network, some form of proportional representation is used for national lower house elections in 94 countries. Party list PR, being used in 85 countries, is the most widely used. MMP is used in seven lower houses. STV is used in only two: Ireland, since independence in 1922, and Malta, since 1921. STV is also used in the Australian Senate, and can be used for nonpartisan elections such as the city council of Cambridge MA.Due to factors such as electoral thresholds and the use of small constituencies, as well as manipulation tactics such as party splitting and gerrymandering, perfect proportionality is rarely achieved under these systems. Nonetheless, they approximate proportionality much better than other systems. Some jurisdictions use leveling seats to compensate for such factors.

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  1. G

    Testing a proportional relationship without a graph

    Homework Statement Without a graph, test the suggestion that the speed, c, of the water wave is related to water depth, d, by: c ∝ d^1/2 No other data is given, this is suppose to be collected by myself but I am revising for a practical exam paper without having the data given. Markscheme...
  2. T

    How is lift force proportional to speed up?

    i know that if i have a greater lift force, there will be a greater speed upwards, but i don't know to calculate a speed of something upwards. is this even possible to calculate? if it's not, can you give a calculation example??
  3. P

    Reason for NMR results not being proportional with C-13

    I am trying to figure out why unlike H-1, NMR output on C-13 is not proportional to types of carbons. Which is to say in a molecule with two CH3 and two CH2 The peaks for the related hydrogens would be one unit tall and 2/3 unit tall. Meanwhile the mentioned carbons would not by nessity have the...
  4. W

    Why the Casimir operator is proportional to the unit matrix ?

    Hello, now I'm reading Peskin Shroeder. I have a question about the Casimir operator on page 500 in Chapter 15. From the following eq, ## \ \ \ [T^b , T^a T^a ] = 0 \ \ \ \ \ \ \ (15.91) ## ## T^2(=T^a T^a) ## is an invariant of the algebra. Thus the author concludes that ##T^2## is...
  5. K

    Rolling Resistance - proportional to speed?

    Hi all you physics people... we are building a high-speed robotic camera dolly here in LA for a film, and are trying to make sure we calculate our torque requirements correctly. The maximum torque required to propel a wheeled vehicle up an incline at a given acceleration is fairly easy to...
  6. R

    Thermodynamics He expanding volume directly proportional to pressure

    Homework Statement Imagine some helium in a cylinder with an initial volume of 1 litre and an initial pressure of 1 atm. Somehow, the helium is made to expand to a final volume of 3 litres, in such a way that its pressure rises in direct proportion to its volume. (b) Calculate the work done...
  7. N

    Is it specific capacitance (Csp) is proportional to current density?

    I've run the experiment. By varying the current and fix the mass of the electrode, I found out that the specific capacitance (Csp) is increased when applied current (I) is increased. By using this formula, Csp = 4I / [M*(dV/dt)], where I is the applied current, M is the mass of both...
  8. H

    Equation of motion with proportional drag

    Homework Statement the forces will be like this m⋅dv/dt=-m⋅g-k⋅v I need to find the velocity equation and the place equation, thereby meaning the integral of the velocity equation. for the condition t,v=0,v_0 The Attempt at a Solution i have found this...
  9. S

    Proportional Controller and SS Error

    hi i am having a bit of a problem understanding the steady state error in proportional controllers.. The output from a P type Controller is proportional (u=kp(error))to the error so why does this error arise?? The output from the controller tries to achieve the S.P. Once the O/p = SP the...
  10. K

    Manipulation of V=IR to produce a directly proportional graph.

    Homework Statement Hello, in physics the other day we sat a test which asked up to measure current and resistance of different resistors in a circuit. After collecting the data and plotting the graph for current vs resistance and coming up with a curve indicating an exponential relationship...
  11. J

    Why is capacitance inversely proportional to the distance between the plates.

    I need help with something.I have problem to understand how the capacitance of a capacitor can be increased if we move the plates of the capacitor more close. Here's my reasoning: The capacitor is just a extended terminal of a battery,so the battery voltage must equal the capacitor...
  12. U

    Find potential energy function and show that it is proportional to displacement

    Homework Statement Find the potential energy function for a spring if the origin is placed at the wall and the unstretched length of the spring is L. Show that with a suitable choice of the constant, this potential function is proportional to the square of the amount that the spring is...
  13. K

    Proportional ratios with exponents - Need Help

    proportional ratios with exponents - Need Help! A walker's speed, v, is proportional to the ratio of his leg length, L, and the period of the repeating motion of his legs, T, that is, v ∝ L/T. If the period is measured to be proportional to Lp, where p = 4/5, what power of L must the speed be...
  14. A

    Proving that force and acceleration are proportional

    Homework Statement I need to prove that force is proportional to acceleration given the results of my experiment. We used a frictionless air glide track at a fixed angle and took data on the velocity of a gliding flag moving down the track. In the experiment, I put more weight on the flag for...
  15. R

    Determine the gain of the proportional controller.

    The block diagram (attached) shows the control of an electric heating system. The heater is driven from a voltage-controlled power supply, the voltage V1 being derived from a potientiometer. The output temperature, θO, is subject to disturbances, θD, because of changes in the ambient...
  16. G

    How to tell which function has distance proportional to time?

    Homework Statement http://imgur.com/aYCc9 also in attachment Homework Equations n/a The Attempt at a Solution I'm not sure how to tell when distance is proportional to time. My guess is it would be graphs a and b because they're both straight lines and when time increases...
  17. A

    Magnetic Field Force: Proportional to Angle and Current?

    So I am kind of a newb to Physics, I am currently studying magnetic field and I had a question to ask about this topic: 1. I know there's a formula to find the magnitude of the force, but I don't quite understand why the force is directly proportional to the angle and current. Is it because...
  18. N

    Why is friction proportional to velocity?

    We all know in phenomenological equations we like to add a -\gamma v effective force term to Newton's equation to include frictional effects with the environment. Why this specific shape? I understand it's not fundamental, and that it is not always appropriate, but still it seems to be a good...
  19. C

    Condenser capacity inversely proportional to source voltage - why?

    Hello everyone. I indeed like to understand the things I am learning, and for the love of me, I cannot understand why, according to the formula, capacity of a condenser in a circuit consisted of said condenser and a power source is inversely proportional to the power source's voltage. Could you...
  20. T

    PV=nRT – Why isn’t ‘T’ inversely proportional to ‘V’?

    What am I missing? According to the ideal gas law, as volume increases, temperature increases. However I’m not sure I understand why. I certainly understand the motion of the molecules equals the kinetic energy of the molecules. The faster the molecules bounce about, the more thermal energy the...
  21. J

    Show that Q is proportional to V for capacitor

    Homework Statement Describe how you would show experimentally that the charge stored on a 220 µF capacitor is proportional to the potential difference across the capacitor for a range of potential differences between 0 and 15 V. Your answer should include a circuit diagram. Homework...
  22. S

    Is speed of em waves directly proportional to magntiude of wavelength

    I read that speed is directly proportional to wavelength in a medium. so does it mean that gamma is the slowest in air compared to the rest of the waves?
  23. S

    Hysteresis losses in an inductor - resistance proportional to frequency?

    Homework Statement Consider an inductor, with a core of ferromagnetic material, connected to an a.c. power supply. Explain why the contribution of the hysteresis losses to the resistance of the coil is theoretically proportional to the frequency of the oscillator. The Attempt at a...
  24. N

    Are the following equations inversely or directly proportional to frequency?

    Homework Statement Re-arrange the equation Fc=4π²mrf² to solve for frequency (f). State the relationship between frequency and (radius, mass, Fc). Homework Equations Fc=4π²mrf² The Attempt at a Solution Fc=4π²mrf² \frac{Fc}{4π²mr} = f² \sqrt{\frac{Fc}{4π²mr}} = f I have...
  25. J

    Describe how to show charge is proportional to pd on a capacitor

    Homework Statement Describe how you would show experimentally that the pd across a capacitor of fixed capacitance is proportional to the charge stored on the plates? Homework Equations The Attempt at a Solution So the most obvious thing would be to place a voltmeter in parallel to...
  26. E

    Faraday's Law of Induction: Why is EMF Inversely Proportional to Time?

    Hi, I am doing coursework on Faraday's law of induction. My assignment was to carry out experiments which confirm Faraday's law and also to explain the physics of how faraday's law works... My experiments all worked perfectly, producing straight line graphs showing that: \epsilon\propto N...
  27. J

    Additionl field proportional to magnetisation?

    Magnetisation of a sample is net dipole moment per unit volume i.e. M = m(net) / V It turns out that magnetic field due to the material is proportional to magnetisation i.e. B(magnetic field due to material) = μM Any explanation to this? It should be proportional but any proof for this or...
  28. S

    Proportional, Integral and Derivative

    Dear all, I am working on PID loops now a days and need to know the exact description of PID control. From TOHO TTM-X04 temperature controller, i learned about P and I, but still i can't understand about D (Differential). As you know that this temperature controller shows manipulated output in...
  29. O

    Trying desparately to wrap my head around proportional relationships

    Homework Statement A) Suppose that we have 3 quantities, x, y, and z. An increase in x by a factor of F is followed by a subsequent increase of y by a factor of 2F. Furthermore, the very same increase in x by a factor of F results in a subsequent decrease of z by a factor of F/2. Similarly...
  30. T

    Why P is proportional to epsilon*E?

    Why is polarization in dielectric material linearly proportional to the E-field. T.y.
  31. M

    Newton's Second Law: Acceleration Proportional to Force

    Newton second law: the net force applied to a body produces a proportional acceleration. Lets fly a rocket. Rocket has some kind of propulsion system that is producing force, so the rocket should accelerate to the infinity. However when the speed is closing to the speed of light, the...
  32. I

    What is the meaning of proportional and how is it used in different contexts?

    I hear teachers say something is proportional to something else. What does "proportional " mean? Can someone explain to me with some examples? Thanks !
  33. 5

    How Does Doubling Mass and Force Affect Acceleration?

    Homework Statement Two rubber bands stretched to the standard length cause an object to accelerate at 2 m/s^2. Suppose another object with twice the mass is pulled by four rubber bands stretched to the standard length. The acceleration of this second object is: ?? The correct answer is...
  34. T

    Grad f is proportional to grad g

    If the gradients of the two functions f and g are proportional everywhere in Rn, does that mean there is some differentiable function F of two variables such that F(f(x),g(x)) = 0 everywhere? The converse is obviously true by the chain rule, so I was just wondering if this was true, too.
  35. T

    Easy Tank Model? Outflow of tank proportional to volume of tank.

    1. Suppose we have a tank partially fi lled with water. There is a pipe feeding water to the tank as a variable ow rate and there is also a drain pipe with a computer controlled variable valve hooked to a sensor in the tank. The valve opens exactly enough to let water drain from the tank...
  36. L

    Why is force inversely proportional to distance?

    Hello all :) A random guy on the internet proposed the question above. Why is force inversely proportional to the square of distance? And he gave us a hint that this is not a physics problem but a math problem. Could you guys give me a clue? I really don't think that dimensional analysis...
  37. T

    What not use a proportional relief valve?

    There is this talk in the New York Times about venting valves : What not use a proportional relief valve ?
  38. P

    How Kepler derived that T^2 is proportional to r^3

    How did Kepler exactly prove that the period squared is proportional to the radius cubed? If he didn't prove it. Then how is it proven?
  39. P

    Are Proportional Variables ALWAYS Multiplied/Divided from One Another?

    To me, it seems like variables that are proportional to the same result are almost always (if not always) multiplied or divided by each other. I've noticed that this is the case in all the physics equations that I've seen so far. A good example of this is Newton's Second Law: {F}\propto{m}...
  40. C

    Magnetic force of two parallel wires is inverse proportional to distance?

    according too: http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/wirfor.html#c1F=(u * I *I2)/(2pi *r ) i thought it would be inverse proportional to the square of the distance?! can this be right?
  41. M

    Solving Ten-Pin Bowling Physics with Proportional Signs

    i know this is really simple, but I'm not very good at working with proportional signs.. a novice ten-pin bowler, slightly "lofts" the ball (releases it too late and lifts it into the air so that it crashes to the ground. If the ball was released with a velocity of 3.5 m/s at an angle of 15...
  42. H

    Induced emf is proportional to the magnetic flux

    According to the faraday's law,the induced emf is proportional to the magnetic flux change linking the conductor.However,I wonder why there is induced emf when conductor is moving in uniform magnetic field,because i think that the magnetic flux linking to it is always the same as it move in...
  43. J

    If 'a' is proportional to 'b' for some known range, then does it mean it would always

    Hi I'm not a math student. I can understand general basic math. While solving many problems we take relations "a directly proportional to b" for granted and don't care to ponder what if it doesn't always hold all the way. Let me try to explain it a bit what I'm trying. If 'a' is...
  44. SamRoss

    Energy proportional to Amplitude squared?

    Does anyone know a simple derivation that explains why the energy of a wave is proportional to the amplitude squared?
  45. L

    System Control - Proportional Gain and a Delay in Series

    Hi, Just wondering if anyone could give me a few pointers in the right direction for this... thanks! Homework Statement Incredibly long problem statement so I'll summarise and ask more about the concept: I have a Plant and Controller set up in the form of a usual control system. The...
  46. S

    Acceleration proportional to velocity

    Homework Statement A particle is accelerated from rest with acc. proportional to velocity. After traveling 10 meters the speed is 35 m/s, find the speed after the particle traveled 20 meters. (Changed the numbers a bit from the original so the answer ppbly will not be clean.) Homework...
  47. S

    Exploring Basic Physics Proportional Relationships: A Comprehensive Guide

    I was wondering if there are place on the internet where I can find a list of basic physics proportional relations. For example, a proportionaln relationship is that B (magnetic field strength) is directly proportional to I (current) and inversely proportional to R (distance). also, something...
  48. D

    Projectile motion with air resistance proportional to velocity

    Homework Statement The projectile with initial velocity v_0 is moving in environment with air resistance, which is linear to projectile's velocity. The task is to prove, that horizontal distance is maximal, if the elevation angle (\alpha) and the angle of trajectory tangent in place of impact...
  49. J

    Flux of vector field proportional to 1/r^3 through sphere

    Homework Statement Consider the vector field \vec F=\frac{\vec r}{r^3} with \vec r=x\hat{i}+y\hat{j}+z\hat{k} . Compute the flux of \vec F out of a sphere of radius "a" centred at the origin. Homework Equations The Gauss Divergence Theorem \int_D dV \nabla \bullet F=\int_S F\bullet dA...
  50. V

    Finding E field inside a sphere with charge proportional to radius

    First time poster here! EDIT: SOLVED! Thanks, I figured out from the related links at the bottom of the page. >_>b Homework Statement Find the electric field inside a sphere which carries a charge density proportional to the distance from the origin, \rho = kr, for some constant k.Homework...
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