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. P

    The force of drag is proportional to velocity?

    So if I double the velocity, aerodynamic drag doubles as well?
  2. Y

    Simple Harmonic Motion. Why is Acceleration proportional to NEGATIVE displacement?

    In Simple harmonic motion: Acceleration = -W^2 x (W being omega, rads per sec. and x beind displacement (distance if you will) ) Omega is a constant but why is acceleration proportional to the NEGATIVE displacement, in other words, why MINUS?? Help appreciated. Thanks in advance!
  3. B

    Proportional control, Integral control

    I want to know the proper nomenclature about control theory. Problem is below. " There is the system, which is controlled by P control or I control (anything is Ok.) where a is proportional gain and b is integral gain. When proportional gain, a is slightly changed, system output is big...
  4. J

    Amplitude Squared Proportional to Intensity?

    A^{2} \propto I When is it appropriate to use this formula? I don't understand how to use a proportionality. Say I have an amplitude A and I make it 2A can I use the equation to determine the intensity will increase by a factor of 4? I guess I don't know why it is a proportionality...
  5. S

    Friction proportional to velovity. Help please

    1. A 1000kg boat is traveling across a lake when its engine is shut off. The magnitude of the frictional force between the water and the boat is proportional to the boat's speed (proportionality constant is 70) . Find the time it takes the boat to slow to one half its speed when the engine was...
  6. S

    ADM: how to see the normal vector proportional to a 1-form?

    Hi Homework Statement In the ADM formalsim, we need at some point to see the normal vector (to the 3D surfaces) as a 1-form. Homework Equations How can we (simply) see that? (Please no Frobenius theorem, otherwise, with more explanation about this theorem) The Attempt at a Solution No idea!
  7. Peeter

    Probability current proportional to density

    Working the rectangular barrier penetration problem (am working through chapter 11 of the Dover QT book by Bohm) one finds that the current past the barrier is proportional to the current where the proportionality is velocity like: J = \frac{ p \rho }{m} where, the p/m factor has dimensions...
  8. B

    LDR: Why is conductance proportional to log(intensity)?

    I am doing a experimental report on various solid state devices and have come unstuck on my work with LDRs. I have data relating conductance of a CdS photo-resistor to intensity of (white) light. The problem is that I am completely unsure as to why there is a log relationship, as has been...
  9. Spinnor

    Wave on string, c^2 = T/rho. Assume T proportional to rho => c^2 = constant.

    We know the speed of a wave on a string of mass density rho and under tension T goes as c^2 = T/rho. Let us play with this fact. Let there be an imaginary string of mass M between two points a distance D apart whose separation we may want to vary. Let us assume that the imaginary string is...
  10. D

    Which statements about heat flow are true?

    Homework Statement Which one of the following statements about heat flow is FALSE? (A) Thermal conduction is due to energy exchange during collisions of atoms or molecules. (B) Thermal convection occurs only in fluids. (C) The rate of heat flow due to thermal radiation is proportional to the...
  11. Saladsamurai

    Difference between Yield stress and Proportional Limit

    Is there a difference, when looking at the stress-strain diagram, between the "Proportional Limit stress" and the "Yield Stress" ? Thanks!
  12. V

    Velocity proportional to wavelength?

    There are two equations I know of that link velocity and wavelength: 1 velocity = frequency x wavelength 2 de broglie wavelength= Planck's constant/ (mass x velocity) I read that 'When particles are accelerated to high velocities, they have low wavelengths'. This means that...
  13. M

    Is the velocity of a bunsen burner flame proportional to the cold flow velocity?

    Homework Statement Is the velocity of a bunsen burner flame proportional to the cold flow velocity? Homework Equations S = Usin a Where S = flame velocity U = cold flow velocity a = half cone angle The Attempt at a Solution I took numerous photographs...
  14. D

    Energy directly proportional to frequency

    VERY SIMPLE! Please help! - Energy of a gamma ray photon... Homework Statement The frequency of gamma radiation is 10^{22} Hz. What is the energy of each gamma ray photon? Planck's constant, h, is equal to 6.6 x 10^{-34} J*s. Homework Equations Energy = hf The Attempt at a...
  15. S

    Proportional Relationship between y, x, and z

    if y\propto x at z constant and y\propto z at x constant then y\propto xz why not y^2\propto xz thank you
  16. D

    Rotating wheel, proving that power is proportional to square of torque

    I have a mechanics question. "A wheel starts from rest and rotates with constant angular acceleration about a fixed axis. 1) Prove that the power at any given time is proportional to the square of the net torque about the axis. 2) Prove that the power at any given angular displacement...
  17. B

    Why is kinetic energy NOT proportional to degrees F/C

    Hello all, I have a question, that regards a problem I was assigned. The problem is: Why is kinetic energy NOT proportional to degrees F/C? -I understand it has something to do with absolute zero Kelivn...not C. Thanks Any help would be greatly appreciated...I need a response by tomorrow...
  18. D

    Proportional Masses Newtons Laws

    A red box and a blue box sit on a horizontal, frictionless surface. When horizontal force F is applied to the red box, it accelerates 4.88 m/s2. a) If F is applied to the blue box, it accelerates at 1.32 m/s2. What is the ratio of the masses of the boxes (mass of the red box/mass of the blue...
  19. B

    Solving ODE Problem: Air Resistance Proportional to Velocity Squared

    [SOLVED] ODE problem Homework Statement A situation in which the air resistance is proportional to the velocity of an object squared. Object dropped off of a building with height 100m. F = -mg + Fr Fr=.5*cw*p*A*v^2 cw=.5 p = air density = 1? Homework Equations I need to...
  20. E

    Why kinetic energy is proportional to velocity squared

    Could someone please explain why kinetic energy is proportional to velocity squared and not just velocity. A propulsion system that provides a constant force would typically use energy at a constant rate in order to accelerate at a constant rate and thus rate of change of velocity would be...
  21. BobG

    News Presidential elections: popular vote, proportional votes, winner take all?

    Do you think Presidential elections should be decided by popular vote, a proportionals distribution of electoral votes (similar to Nebraska and Maine), or by a winner take all electoral vote system? After you answer, check out this article. It might change your mind: California Proposal...
  22. H

    Inertia is directly proportional to mass

    I say inertia is directly proportional to mass Frank says inertia is directly proportional to charge Of course we alll know I am right, but I would like to prove Frank wrong anyways. Instead of going to wikipedia and laughing in his face, (as is standard procedure) I would like to conduct an...
  23. X

    Show that the potential energy of a simple pendulum is proportional

    Homework Statement Show that the potential energy of a simple pendulum is proportional to the square of the angular displacement in the small amplitude limit. Homework Equations U=mgh sin^2wt + cos^2wt=1 The Attempt at a Solution I can't figure out where to start.
  24. G

    Exploring the Possibility of e=mck and h.nu Proportional to mc

    when theory of relativity declares speed of light to be the limit for speeds of all matter and energy and information. then, how can einstein in his mass-energy eqn talk about c squared. we can't talk about any velocity more than c. it is possible that e = mck where the value of constant k...
  25. A

    Is cross section is proportional

    If I show something that a cross section is proportional to: 1 / (16p^2 sin^4( x) + 8mpsin^2 (x) + m^2) does it imply that the cross section is proportional to 1 / sin^4 (x) as well?
  26. C

    Correct use of is proportional to symbol (alpha)

    Correct use of "is proportional to" symbol (alpha) Hello, I am facing a problem that can be solved quite easily using the proportional symbol ( I think ), so I would like to try to use it! Only problem is.. I don't know exactly how to use it correctly... The question is :An astronaut weighs...
  27. T

    How Do You Calculate Particle Position with Quadratic Drag and Gravity?

    Hi, I'm stuck on this problem. This was fine, it's the next bit I don't get. From (1) I'm thinking I'll integrate up to get v, then again to get z, as v=dz/dt. The other alternative would be to treat is as a second order DE for z, but I tried that and didn't get anywhere. I also tried an...
  28. M

    Quadrilateral Sides Proportional Section

    Sorry guys, I thought it would be easy, but it is not. I have a random quadrilateral A,B,C,D, drawn and a random point M inside of it. Now, I want to draw a line passing through the point M and crossing the sides AB and DC at points P and Q. So far so good, but I want more, in addition...
  29. J

    Calculate Proportional Limit of Alloy Bar

    I am given the length, elongated length, original diameter and reduced diameter of a alloy bar, and the load carried. I need to calculate the mod of elasticity, poisson's ratio and the proportional limit for the material. Got the first 2, how do I calculate the proportional limit? My book it...
  30. D

    Can Proportional Variation be Deduced Algebraically from Given Equations?

    Consider the following situation : There are three variables A, B and C. (and i,j,k are constants ) Keeping C constant, and varying the other two, you find that A = kB ------(1) Now, Keeping B constant, and varying the other two...
  31. A

    Linear vs Proportional Relationship

    I know that a linear relationship can be represented by the equation y=mx+b, but is this also a proportional relationship? Doesn't the slope (m) make it proportional? I'm confusing myself over this easy concept. :confused:
  32. S

    A boat's acceleration is proportional to its velocity

    A 1000kg boat is traveling at 90km/h when its engine is shut off. The magnitude of the frictional force f between the boat and water is proportional to the speed v of the boat: f=70v where v is in meters per second and f is in Newtons. Find the time required for the boat to slow to 45 km/h...
  33. H

    How is power proportional to acceleration?

    The above scenario is when distance and mass are held constant. ~ denotes proportional to My work: P= m*a*d/t P~ a/t a~1/t^2 when m and d are held constant so P~ a^3/2 Is this right?
  34. C

    What is a damping. Text books say damping is proportional to velocity.

    What is a damping. Text books say damping is proportional to velocity. Why not damping is proportional force? or why not damping proportional to some other parameter. What does damping actually do ? Is there any practical application ?
  35. O

    The final explanation to why kinetic energy is proportional to velocity squared

    I am one of those who cannot really go into advanced calculations and leave the simple questions behind. I have to understand physics at a basic level. For that reason I am glad some members at this forum don’t hesitate to ask very fundamental questions. For years I have just taken everything...
  36. G

    Lorentz Transformation - Exponential factor, why not Proportional?

    Lorentz Transformation --- Exponential factor, why not Proportional? When using the Lorentz Transformation, the increase in mass, or the decrease in space-time is an Exponential, why can't it be Proportional? What is the logic behind that? For instance, if SR had a proportional decrease in...
  37. C

    The Proportional Decay - Uncovering the Mystery

    Rate of decay... "The rate of decay is durectly proprtional to the number of atoms present, following an exponential law, the rate of decay decreasing with time" - but why is this the case? Thanks in advance. :smile:
  38. S

    What is an example of direct proportionality?

    directly proportional? can anyone give an example of it? thanks alot!
  39. M

    Understanding Proportional Controller Offset Error

    Why is it that a proportional controller will always result in an offset error?
  40. N

    Which Newton's law describes inertia is proportional to mass?

    1.Which Newton's law describes inertia is proportional to mass? 1st or 2nd? 2.An object is on a slope, the graph of v-t shows that there is negative acceleration, how do you explain it ?
  41. I

    Exploring Infinity: Proportional Subsets in an Infinite Set

    By definition, an infinite set is a set whose subset is proportional to the set which contains it. The sequence of numbers whether it be expressed as (n+1) or not, is infinite. Then (I am veturing into grounds I know little of here...) I am guessing it is safe to say that the numbers (n+1< or...
  42. D

    Medians & Congruent Triangles: Exploring Proportional Parts

    If a line in a triangle is a median, does it cut the triangle into two congruent triangles?
  43. S

    Galactic mass proportional to r

    How do I calculate galactic mass as a function of r? I know it is supposed to be proportional to r. I've seen, M(r)=v2r/G And also I've seen M(r)=vrc2/G Which if any is right? And what do I use for v? Thanks so much for your help!
  44. Monique

    Cell size is proportional to ploidy

    It always amazed my how a mice is similar to a human, but all the systems are in miniature. Why doesn't a mouse grow as big as a human? What is the mechanism regulating the organ sized, a certain number of cells? A certain size? It actually turns out that somehow the physical size is known, not...
  45. N

    Proportional Resistive Force Problem

    Consider an object which the net force is a resistive force proportional to the square of its speed. For example: assume that the resistive force acting on a speed skater is f=-kmv^2, where k is a constant and m is the skater's mass. The skater corsses the finish line of a straight-line race...
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