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.
*if this has to be moved in statistics, please do that*
I've been dragging this question for a while now, but..
When you make an overlay plot of data + estimation, what is the appropriate bin-width?
the two extremes correspond to:
single-bin for the whole variable range --> so you get the...
Homework Statement
The following series are not power series, but you can transform each one into a power
series by a change of variable and so find out where it converges.
∑∞0 ((3n(n+1)) / (x+1)n
Homework Equations
a power series is a series of the form:
a0 + a1x + a2x^2 ... + ...
The...
I am attempting to understand how I can derive a new expression as a function of another variable in this existing expression. This is a college undergraduate course but I can't recall doing this much before, maybe in high school. I have taken all the way up to ODE's and PDE's.
The confusion...
This question is no doubt absurdly simple to many here, but the answer will help me immensely.
Say that:
c = a ^ 4
Then it's simple to rearrange for a:
a = c ^ 0.25
But what if there is more than one term, for example:
c = a ^ 4 + a ^ 3
Is it possible to rearrange this to the form:
a =...
If ## A, B, ## and ## C## are complex-valued variables, is there an easy way to algebraically solve for ##A## without splitting the variables into their real and imaginary parts? For example:
$$ AB^* = 20AB - A^*C + B^*C^* $$
can be isolated for ##A## but only if the real and imaginary parts...
Hi
I understood above differential
## typo. RHS= 2*f ' (x,2z-x)
but, what is answer of below equation?
is this right?
f ' ( g(z),2z-x) * g' (z) + f ' ( g(z),2z-x) *2
Homework Statement
I want to change integral variable to jx it means (w=jx)
Homework EquationsThe Attempt at a Solution
but as you see the bounds of integral are different from the book text , what is my mistake?
I need to find
$$\lim_{{(x, y)}\to{(0,0)}} \frac{x^2 - y^2}{\sqrt{x^2 + y^2}}$$
If I plug in zero, I get an indeterminate form. How do I resolve the indeterminate form?
I have
$$\lim_{{(x, y)}\to{(0, 0)}} \frac{x^4 - y^4}{x^4 + x^2y^2 + y^4}$$
If I evaluate the limit along the x-axis, I get
$$\lim_{{(x, y)}\to{(0, 0)}} \frac{x^4 - y^4}{x^4 + x^2y^2 + y^4}$$
which evaluates to $1$.
If I evaluate the limit along the y-axis, I get
$$\lim_{{y}\to{0}} \frac{...
What is the name or term called for this extra variable inside non-realism where it can determine the born rule and correlate spacelike millions of light years away? (counterpart of hidden variable in realism (or counterfactual definiteness))
[Mentor's note: forked from https://www.physicsforums.com/threads/conjugate-variable-clarification.878112/]
I think the list is very interesting. From https://en.wikipedia.org/wiki/Conjugate_variables
The energy of a particle at a certain event is the negative of the derivative of the action...
Hi there, I was just trying to perform a change of variable on a differential equation as shown below. The original second order ODE is written in terms of a dependent variable ## \theta ## and independent variable ##q##. I have used the expression ## q = \sqrt{\frac{z\tau'}{LT_R}} ## and...
Here are my Fortran codes:
program test
implicitnone
integer*4 nxProjPad, cf, numViews, cc, index, indRad, iv, i, INDEX1, d, n
real*4 v4, v5, RSS, S1, F1, gMDL
real*4, dimension(:), allocatable :: array, sum, cumsum, transpose, log, SS1, SSs
nxProjPad=185
numViews=180...
Homework Statement
Suppose that the number of asbestos particles in a sam-
ple of 1 squared centimeter of dust is a Poisson random variable
with a mean of 1000. What is the probability that 10 squared cen-
timeters of dust contains more than 10,000 particles?
Homework Equations
E(aX+b) =...
How can you compute
F(k) = k\int^{\infty}_{0}dy\int^{y}_{0}dx f(kx,y)
in C. I know about Python's scipy.integrate.dblquad function but it's just too slow. I have written some Cython code with a 2D gaussian quadrature function in C but it only takes doubles as limits. I think C doesn't have...
I was researching variable speed of light theories as alternatives to inflation theory; from Wikipedia I cam across this:
"The idea from Moffat and the team Albrecht–Magueijo is that light propagated as much as 60 orders of magnitude faster in the early universe, thus distant regions of the...
Homework Statement
Is the question wrong ?
Homework EquationsThe Attempt at a Solution
I found that the number of dimension = 6 , primary dimensionof velocity is L / T , which is 2 , number of repeating variable = 2 , so , there are 6-2 = 4 pi group , why the question only gt 3 pi group ?
Hello, could anyone please explain me some logic or derivation behind the approximation:
Found it in the Hull Derivatives book without further explanation. Thanks for help
Hey guys, I just wanted to check if my method for solving this problem is correct.
1. Homework Statement
Consider an annulus with inner radius R1 and outer radius R2. The mass density of the annulus is given by σ(r)=C/r, where C is a constant. Calculate the total mass of the annulus.
Homework...
Can someone concretize the difference between a "hypothetical reality" where hidden variables are local and hidden variables are nonlocal in the following context:
Some physical event occurs involving particles A and B (which are/become entangled and will exhibit correlations) at time T and...
Homework Statement
A body of mass 5 kg is acted on by a force in a straight line. The magnitude of the force after t seconds is given by (2t - 3t^2) kg wt. If the body has an initial velocity of 3ms-1 in the same direction as the force, calculate its velocity after 4 seconds.
Homework...
I am trying to prove that the above is true when performing the change of variable shown. Here is my attempt:
What I am not quite understanding is why they choose to isolate the partial derivative of ##z## on the right side (as opposed to the left) that I have in my last line. This ultimately...
Homework Statement
Consider the bivariate vector random variable ##(X,Y)^T## which has the probability density function $$f_{X,Y}(x,y) = \theta xe^{-x(y+\theta)}, \quad x\geq 0, y\geq 0 \; \; \text{and} \; \; \theta > 0.$$
I have shown that the marginal distribution of ##X## is ##f_X(x|\theta)...
Homework Statement
A broad crested weir model is designed to study the discharge per meter of the prototype. Derive an expression for this discharge using the Buckingham Pi theorem. Assume that the overflowing water sheet is thick so that the surface tension and thus viscosity of the fluid can...
Hello! (Wave)
I am looking at a proof where we have:
$$\int_{-\infty}^{+\infty} |u|^{\frac{n}{n-1}} dx_1 \leq \left( \int_{-\infty}^{+\infty} |Du| dy_1 \right)^{\frac{1}{n-1}} \left( \prod_{i=2}^n \int_{-\infty}^{+\infty} \int_{-\infty}^{+\infty} |Du| dx_1 dy_i\right)^{\frac{1}{n-1}}$$...
Homework Statement
i was told by my lecturer that when we choose the repeating variables in pi buckingham theorem , we can choose based on 3 property , which is geometry property which consists of (length , width and area) , then followed by flow property ( velocity , acceleartion, discharge)...
Homework Statement
An armoured car with a mass of 5 tonnes is located on a smooth plane which is inclined at an angle of tan-1 (5/12) to the horizontal as shown in Figure Q3. A missile of mass 15kg is fired horizontally from this armoured car at 650m/s. Determine the velocity with which the...
Homework Statement
How to factor 2x^2 - (p-2)x - p ??
Homework Equations
Basic factoring
The Attempt at a Solution
I don't know how to do it.
The answer is 2(x-p/2)(x+2/2)..
Help me please..
Hello, i am studying calculus and I am looking for a book or website that covers the following topics:
-Real functions with vectorial variables (limits, domains, continuity, derivatives, directional derivatives, gradients)
-Vectorial functions with vectorial variables (derivatives and...
I was trying to implement a variable grid mesh in Numerov's method, while playing with fortran. Numerov method was working well with a standard discretization, but when I tried to implement this variable grid, things came to look as if the 'metric' of the function were depending on the...
Homework Statement
0 = -250*(sqrt(x^2+1)-0.8)^2 + 98.1*x + 59.05
Homework EquationsThe Attempt at a Solution
I can't figure out how to solve this equation! After expanding the squared term, I still end up with a sqrt(x^2+1) and I can't figure out how to perform a substitution or something to...
Homework Statement
8. Amelia’s Marina rents rowboats for $12/hour. A cleaning fee of $20 is charged, when the boat is returned.
a. Identify the independent and dependent variables, including units, for this scenario.b. Write an equation that models this scenario.
c. A nearby marina offers a...
I have to do a integration which goes like this:
(V-M)(dP/dx)+3P(dV/dx)=0, (where M,P and V are constants).
If you integrate with dx, you will get:
∫[(V-M)dP]+∫[3PdV]=0.
which ultimately results in the answer M=4V.
Now, i can put the first equation in this form also...
I'll give you an example.
Let's say I have a snippet of code like
while(*s2)
{
char* c = s1;
while(*c++==*s2++);
if(!*c)
{
flag=true;
break;
}
else
{
flag=false;
}
}
(which is a real snippet of...
Homework Statement
why we can't form the pi group by using repeating variable of (μ, ρ , v) or (D, v , μ ) ?
http://www-mdp.eng.cam.ac.uk/web/library/enginfo/aerothermal_dvd_only/aero/fprops/dimension/node9.html
http://www.efm.leeds.ac.uk/CIVE/CIVE1400/Section5/dimensional_analysis.htm...
H!
I wonder how to solve:
I=\int_{-\infty}^{\infty}e^{-u^2}\frac{1}{1+Cu} du
I have solved:
\int_{-\infty}^{\infty}e^{-u^2}du
which equals
\sqrt{\pi}
and I solved it with polar coordinates and variable substitution.
Thankful for help!
Edison
Hello there. I am trying to take a power of 1/7 of one variable but as a default it gives me 1 similar to if I was taking power of 0. How can I solve this problem. Thanks
I obtained an extra factor of ##\frac{1}{l^2}## in the first term on the LHS of (3.34).
From (3.33),
LHS ##=u^2\frac{d}{d\theta}(\frac{u^2}{m}\frac{du}{d\theta}\frac{dr}{du})-\frac{l^2u^3}{m}##
##=u^2\frac{d}{d\theta}(-\frac{1}{m}\frac{du}{d\theta})-\frac{l^2u^3}{m}##...
The code
is supposed to generate
0
1
2
My question is this: If we declare $x = 0 in the function then why doesn't it reset to 0 every time we run the function?
-Dan
I learned Fortran from ancient people who disregard modern standards. As such, my code consists mainly of that older syntax. I am wondering how well this meshes with current Fortran environments, specifically regarding double precision calculations. This comes up mainly because I have been...
Hi!
I'm searching for guidance and help since I don't know how to solve this problem. Here it is:
a) The two-dimensional random variable (ξ,η) is uniformly distributed over the square
K={(x,y): 0≤x≤1 , 0≤y≤1} . Let ζ=√ξ2+η2 me the distance between the origo and the point (ξ,η) . Calculate the...
Let $X\sim U(0,1)$ and define $Y=1-X$. What statement is TRUE?
(1): $F_{X}(u)\neq F_{Y}(u)$, for every $u\epsilon \left [ 0,1 \right ]$;
(2): $Y$ is not a rv;
(3): $E(X+Y)=2$;
(4): $Y\sim U(0,1)$;
(5): none of the remaining statements.
We are trying to build a wind turbine which will charge a battery. Since wind speed varies (which affects the generated current and voltage), we were going to integrate a transformer in. My question is does such a transfomer even exist where the input voltage varies while the output voltage is...
Print either "Fruit", "Drink", or "Unknown" (followed by a newline) depending on the value of userItem. Print "Unknown" (followed by a newline) if the value of userItem does not match any of the defined options. For example, if userItem is GR_APPLES, output should be:
Fruit
#include <iostream>...
I'm learning basic probability and have some understanding of PDF's and CDF's now. (I've not done expected values yet though so I'm not familiar with that notation).
I've come across standardization of a random variable, X, which then gives a new random variable Y with the properties that Y has...
Hello. Can you help me solve it? ($F$ is a $\sigma $ algebra).
Let $X$ be a rv over $(\Omega ,F,P)$. Set $Y:= min\left \{ 1,X \right \}$. What statement is TRUE?
(1): $\left \{ Y=X \right \}\neq \Omega $;
(2): $F_Y(x)=F_X(x)$ for every $x\epsilon \Re $;
(3): $Y\leqslant X$ for every outcome...