What is Variable: Definition and 1000 Discussions

A variable star is a star whose brightness as seen from Earth (its apparent magnitude) fluctuates.
This variation may be caused by a change in emitted light or by something partly blocking the light, so variable stars are classified as either:

Intrinsic variables, whose luminosity actually changes; for example, because the star periodically swells and shrinks.
Extrinsic variables, whose apparent changes in brightness are due to changes in the amount of their light that can reach Earth; for example, because the star has an orbiting companion that sometimes eclipses it.Many, possibly most, stars have at least some variation in luminosity: the energy output of our Sun, for example, varies by about 0.1% over an 11-year solar cycle.

View More On Wikipedia.org
  1. S

    How to find gradient of a variable in 3D mapped finite element domain

    Hello, I know the value of a field variable in a 3d mapped finite element mesh. Can anyone suggest an effective method/methods to find its gradient throughout the mesh.
  2. J

    Proof Error Q. Conway's Functions of One Complex Variable VI

    I ask this question only to those who read or have this book: If you have Baby Rudin, it would be even better. On the page 34 of the text Conway's Functions of One Complex Variable Vol 1, it proves the Chain Rule but it seems the proof is not valid: It uses sequences to show the limit is...
  3. I

    Solving for a variable in terms of two other variables

    solve the following equation for z in terms of x and y 3y^{2}+2yz-5z-2x=0 i've spent a lot of time on this question, but i keep getting something along the lines of 0=0 i tried solving for x in temrs of y and z to replace the x but i get 0=0 Homework Statement Homework Equations The Attempt at...
  4. C

    Finding the pdf of a random variable which is a function of another rv

    Homework Statement Let f(x)=x/8 be the density of X on [0,4], zero elsewhere. a) Show that f(x) is a valid density and compute E(X) b) Define Y=1/X. Calculate E(Y) c) Determine the density function for Y The Attempt at a Solution a) is just really basic. I've solved that one. b)...
  5. B

    Work Done By A General Variable Force

    As the title alludes to, I am currently reading about work. One sentence has left me very confused, thought: " Only the magnitude of this variable force changes, not its direction, and the magnitude at any position does not change with time." Could someone possibly help me understand this?
  6. A

    Difference between variable and parameter

    From what I think I understand, a variable is something you input into a function and you get a certain value from it whereas a parameter is something that gives you a different function but 'adjusted'...so the constant C the translates a graph of a function up and down would be a parameter...is...
  7. J

    [C] variable system in programming

    I just started programming and i don't understand how variables work. First the book defines a as 3 and b as 5 then defines a =a+b. For me who hasnt done programming ever that implies that b=0 but i think second a is different from the first one. Help regarding how variables work in computer
  8. M

    I think I get it now. Thanks for your help. You're welcome, happy to help!

    Homework Statement An object starts from position X = 0 and moves along a straight line with its position given by x = 4t^2 - t^3 where t is the time taken to reach position x. Find: i) The time at which the velocity is zero ii) The time at which the acceleration is zero iii) The average...
  9. R

    Change variables and expand around new variable (Mathematica)

    I have a differential expression that I want to expand to some order around infinity (it's for calculating weak-field limits in GR). I have two functions, B(r) and n(r), and some expression involving them along the lines of n[r] (3 r B'[r]^2 - 4 B[r] (2 B'[r] + r B''[r])) Basically I want...
  10. B

    Solve 4 Variable Equation: a,b,c & x

    For my work, I need to solve the following equation for the variable x (if possible): a * (x/1000) = b - x * c Can someone please help me solve it or inform me that it is simply not possible. I'm chemist myself, so solving equations is not exactly my expertise. Thanks in advance!
  11. M

    Calculating Velocity and Acceleration for Variable Motion

    An object starts from position X = 0 and moves along a straight line with its position given by; X = 20t - 5t^3 where t is the time taken to reach position X. Find; i) The time at which the velocity is zero ii) The time at which the acceleration is zero iii) The average velocity over the...
  12. A

    Word problem dealing with rate. Solve for rate of variable.

    Homework Statement You run a small business making widgets. You have two employees. Employee A takes two times as long as employee B to make a widget. During each day, both employees working together will make 15 widgets, how many widgets get made by employee A each day? Homework Equations...
  13. B

    Dirac delta function, change of variable confusion

    The Dirac delta "function" is often given as : δ(x) = ∞ | x = 0 δ(x) = 0 | x \neq 0 and ∫δ(x)f(x)dx = f(0). What about δ(cx)? By u=cx substitution into above integral is, ∫δ(cx)f(x)dx = ∫δ(u)f(u/c)du = 1/c f(0). But intuitively, the graph of δ(cx) is the same as the graph of...
  14. K

    Approximation for Unknown Variable

    Homework Statement Firstly sorry if this is in the wrong place. I have never submitted a question on this forum about a comp sci question. I got an assignment that asked me to solve for a variable using Bisection of successive approximations. This however is not why I am here as I know you...
  15. S

    Finding the variable of the equation?

    I was just wondering if it is possible to find b in this equation? f(x,y)=result. where y=f(a,b). so the I guess f(x,f(a,b))=result. I know the actual value of x,a and result and it is possible to find b in the equation. I also know the function of f(). Please ask me if this...
  16. S

    Guessing integrals - change of variable

    Homework Statement I'm working through Mahajan's Street-fighting Mathematics for fun, and am a bit puzzled about the following problem: The Attempt at a Solution It's mostly the first part that's tripping me up. I could use the substitution tan\theta=x and solve both integrals...
  17. lahanadar

    Random Process vs Random Variable vs Sample Space

    Hi everybody, I try to figure out connections and differences between random variables (RV), random processes (RP), and sample spaces and have confusions on some ideas you may want to help me. All sources I searched says that RP assigns each element of a sample space to a time function. I want...
  18. B

    Calculate value of variable from solution to a 2nd ODF

    The Question: Find the value of r such that v = xr is a solution of xd2v/dx2 + (x+4)\frac{dv}{dx} + 3v = 0 My Solution: After finding the 1st and 2nd derivative of v and substituting into the equation to equat to zero and look for r, I get the answer r =-3. I also get a root that is...
  19. P

    How Partial Derivative Changing Variable Formula works ?

    Homework Statement The changing variable formula in partial derivative f(u,v) x=x(u,v) y=y(u,v) (∂f/∂x)y = (∂f/∂u)v(∂u/∂x)y + (∂f/∂v)u(∂v/∂x)y I khow the how chain rule works, but I don't know why in the (∂f/∂u) v is constant and in the (∂u/∂x) y is constant Homework Equations The...
  20. Chronos

    Cosmological models with variable EoS

    An interesting and well presented new paper by Kumar and Xu: "Observational constraints on a cosmological model with variable equation of state parameters for matter and dark energy" http://arxiv.org/abs/1207.5582 The idea of a variable equation of state for matter and dark energy is not...
  21. S

    MATLAB How to pass a variable input into a function in matlab?

    I have an ode function which is of the form: function [output]=Fun[input1,input2,input3] which is solving a set of non-linear differential equations. input1 and 3 are fixed but input2 is a variable. Say: input1=3; % a constant input3=20; input2=[2 4 6 8]; function Fun is being...
  22. A

    How to make 4 variable polynomial equatio

    Can I use excel to make an equation for 4 variables (x,y,z,w) e.g a,b,c,d,3,f,g,h,i, would be constants w = ax + by + cz + dx^2 + ey^2 + fz^2 + gxy + hyz + iyz What are these equations called ? What literature can I study to better understand the procedure of making these tye of...
  23. P

    LC circuit with variable capacitor

    Homework Statement An oscillating LC circuit is designed to operate with a maximum current of 31 mA. The inductance is fixed at 42 mH, and the frequency is changed by means of a variable capacitor C. (a) If the highest voltage that the capacitor can handle is 50 V, can the circuit be operated...
  24. M

    How do I connect a variable capacitor to an inductor in a crystal radio circuit?

    Typical VC: http://goo.gl/Z4Dbg I have that guy there or one very similar. My question is how does one hook this up to the inductor? Forget, for now, the rest of the circuit. How do these two piece fit together? The bottom feet (there are two on each side) I assume take the positive...
  25. F

    Engineering State Variable Method (Circuit Analysis)

    Homework Statement http://img12.imageshack.us/img12/1176/img20120713190506.jpg Homework Equations V_{C}' = dv/dt I_{L}' = di/dt The Attempt at a Solution I did KCL at the centre node: I_{L} + i_{2} = \frac{V_{C}'}{5} (Vc'/5 is basically the current coming from the capacitor...
  26. S

    Probability: Discrete Random Variable

    Homework Statement Suppose X is a discrete random variable whose probability generating function is G(z) = z^2 * exp(4z-4) Homework Equations No idea The Attempt at a Solution I'm thinking that due to the exponent on the z term, that the exp(4z-4) would be the P[X=3] =...
  27. O

    Variable Resistor connected to parallel resistors

    Homework Statement In the electric circuit shown in the figure, when the value of the variable resistor R3 is 25Ω, the current which flows into the power supply is 2A. Moreover, when the value of the variable resistor R3 is 5Ω a current of 1A flows into the resistance R2. Q1.Find the value of...
  28. P

    Moment of Inertia for a Square and a pipe of variable density

    Homework Statement First, there's a slender rod with length L that has a mass per unit length that varies with distance from the left end, where x=0, according to dm/dx = yx where y has units of kg/m^2. (a) Calculate the total mass of the rod in terms of y and L (Which I've already done and...
  29. N

    A line charge with variable charge density

    Homework Statement A line charge in the x directio has a variable charge density given by the equation λ=4 λnot((1-x)/2L), where λnot is a constant. The rod has a length of L. i)What is the net charge of the rod? Hint-the net charge is calculated by integrating the charge density with respect...
  30. stripes

    Non-static variable method cannot be referenced from a static context

    Homework Statement I just need to know how to access an arraylist that was created in a class (call it Company). In class CompanyTest, I need to access a list of employees that was created in Company. This is Company class: public ArrayList<Employee> list = new ArrayList<Employee>()...
  31. C

    Solution of a Differential equation (Linear, 1st order). x=dependent variable

    the problem is as follows: [1-(12*x*(y^2))]*(dy/dx)=y^3 we need to solve this equation such as x=5 & y=2 by regarding y as the independent variable. Here is my work for the first attempt: Step 1)separation & integration Step 2)ln(x)= (-1/(2y^2))-12ln(y)+C...
  32. T

    Variable substitution in Langevin equation and Fokker-Planck equation

    Dear all, I have a question about the variable substitution in Langevin equation and Fokker-Planck equation and this has bothered me a lot. The general Langevin equation is: $$\frac{dx}{dt}=u(x)+\sqrt{2 D(x)}\eta(t)$$ and the corresponding Fokker-Planck equation is thus: $$\frac{\partial...
  33. J

    Variable transformation in a derivative

    Hi Maybe I don't see the wood because of all the trees, but: You have a second derivative \frac{\mathrm{d}^2}{\mathrm{d}x^2} e^{-ax} \cdot u(ax) Now you make the variable transformation w=ax How to express \frac{\mathrm{d}^2}{\mathrm{d}w^2} Thanks Greetings
  34. J

    Linear motion with variable forces

    Homework Statement A racing car of mass 20000kg accelerates with a driving force of 480(t-10)^2 Newtons until it reaches its maximum speed after 10 seconds. Find its maximum speed, and the distance it travels in reaching this speed. The Attempt at a Solution Again, I can't seem to...
  35. U

    MHB Functions of a Discrete Random Variable

    EDIT: Oh and I forgot that $p_Y(y) = 0$ otherwise.
  36. J

    Linear motion with variable forces

    Homework Statement A car of mass 1200kg is at rest on a level road. Two people push it, producing a total force given by (240-12t) Newtons, where t is the time in seconds, until this becomes zero after 20 seconds. How fast is the car then moving, and how far does it move while it is being...
  37. P

    On conditional probability of an exponential random variable

    You are given a random exponential variable X: f(x) = λ exp(-λ x). Suppose that X = Y + Z, where Y is the integral part of X and Z is the fractional part of X: Y = IP(X), Z = FP(X). Which is the following conditional probability: P(Z < z | Y = n) for 0 ≤ z < 1 and n = 0, 1, … ?
  38. A

    Solution to the integral,i.e, expected value of a function of normal variable

    I want to calculate \int_a^b \frac{1}{\sqrt{2 \pi \sigma^2}} e^{(-(x-\mu)/\sigma^2)} log_2 (1 + e^{-x}) dx
  39. B

    Momentum of variable mass system - train & rain

    Homework Statement An open-topped railway wagon of mass M is rolling freely along straight level frictionless track at a constant velocity v0. At time t=0 the wagon enters a heavy rain shower and starts to collect rainwater. The rain falls vertically. As a consequence the wagons mass increases...
  40. A

    Oscillating bucket, variable mass

    Homework Statement A 2kg bucket containing 10kg of water is hanging from a vertical ideal spring of force constant 125N/m and oscillating up and down with amplitude 3cm. Suddenly the bucket springs a leak in the bottom such that water drops out of the bucket at a steady rate of 2g/s...
  41. A

    Mean of a function of a random variable

    Hi, I have a random variable X with some zero-mean distribution. I have a function Y of this r.v. given by something complicated Y=(a+X)^\frac{2}{3} Is there an explicit way of finding the distribution of Y or even its mean? Thanks
  42. M

    Is it possible to create a tube with a variable diameter?

    hello! I am interested to know if a tube can be created that with some kind of mechanism, its diameter will increase on demand the range of the diameter should start at the smallest possible (0.01 mm or less if possible, even if the walls of the tube virtually concur) and increase up to...
  43. I

    Problem with the change of variable theorem of integrals

    Homework Statement So I came across the integral \int^{1}_{0}x\sqrt{1-x^2} and I tried to solve it in two ways using the change of variables theorem for integration, however both ways are supposed to give me the same result, but they differ in the sign and I cannot find what I am doing...
  44. M

    Delta function of two variable function

    Hi Iknow that if we have delta function of one variables function, then we can write it as: \delta (f(x)) = \sum \frac{\delta(x-x0)}{f'(x0)} but how we can write a function of two variables: \delta (f(x,y))
  45. baby_1

    What is the Log of a Complex Variable?

    what is log of z=X+JY? Thanks
  46. R

    Creating 300VAC for 3 Phase Variable Frequency Drive Testing

    Hello all, I have a 3 phase Variable frequence drive that requires an input voltage of 380-480VAC. I would like to test what would happen if I apply 300VAC to the drive. I have access to 208V and 440V. Is there anything I can do to obtain 300V? I have thought about a variable power supply...
  47. M

    HMM training with variable length data

    Hi All, I need to train an HMM using data with sequences of variable length (5 - 500 symbols per input sequence). From what I've seen thus far, all (or most) trainings are perfirmed on data-sets of a fixed size, although there is no explicit demand for this in the HMM structure. So...
  48. N

    Change of variable integral problem

    Homework Statement http://img716.imageshack.us/img716/7453/28042782.jpg The Attempt at a Solution What I do not understand is how the Jacobian suddenly gets inverted when doing the integral, I have looked over my other tutorial problems for similar solutions and I do not recall doing...
  49. V

    Converting dependable variable to independant and vice versa

    Hello guys, First of all, thanks for looking at this post and trying to help me. I have function which is shown below, F1= (ε1-√(1+(ε1 μ1-1)x^2))/(ε1+√(1+(ε1 μ1-1)x^2)); F2= (ε2-√(1+(ε2 μ2-1)x^2))/(ε2+√(1+(ε2 μ2-1)x^2)); F=F1*F2; Here, F is a function of x --> F(x) I...
  50. mesa

    Trying to figure out a single variable expression for Sin

    Well, I am now trying to figure out a single variable expression for Sin. I have a couple ideas using some pieces of geometric formulas I have played with recently but this is still new to me. I'm not talking about sin x, but an algebraic expression for the sin wave. Any thoughts?
Back
Top