Question

(Related to Astrophysics)

Enumerate the equations and boundary conditions needed to construct a stellar model.

Answer #1

Assuming hydrostatic and thermal equilibrium, To create a stellar model, we need to solve a set of four differential equations. To do this, we need four boundary conditions.

Four Differential equations are -

The mass conservation

Hydrostatic equation

Energy equation

Heat transfer method

For radiative energy transport

For convective energy transport.

For simplicity, we choose “zero” conditions which are r = L = 0 at the center (M = 0),

and ρ = T = 0 at the surface ( place where optical depth
=1 and M =
M_{T}).

In fresnel's equations
after applying the boundary conditions we have
E incident + E reflected = E transmitted
the question is why?
why not
E incident = E reflected + E transmitted
the total (incident) is equal to the sum of the parts,
right?

Using Porter's Diamond Model, analyze Poland, identifying the
factor conditions, demand conditions, firm strategy, related and
supportive industries, chance and government

ODE: 4. Consider u" + u = 0 , with boundary conditions u(0)=
u(L)=0 where L is fixed positive constant. So, u=0 is a sol.
a. Is this sol unique and
b. to what extend does uniqueness depend on the value of L.
Give convincing reasons or proof for your answers.
SUBJECT: ORDINARY DIFFERENTIAL EQUATION AND PARTIAL DIFFERENTIAL
EQUATIONS

DE:
4. Consider u" + u = 0 , with boundary conditions u(0)= u(L)=0
where L is fixed positive constant. So, u=0 is a sol.
a. Is this sol unique and
b. to what extend does uniqueness depend on the value of L.
Give convincing reasons or proof for your answers.
Please, is there any chance to make it a little bit clearer,
Thank you.
SUBJECT: ORDINARY DIFFERENTIAL EQUATION AND PARTIAL DIFFERENTIAL
EQUATIONS

1)Find the critical value zα/2 needed to construct
a(n) 97% confidence interval
2)A college admissions officer takes a simple random sample of
110 entering freshmen and computes their mean mathematics SAT score
to be 465. Assume the population standard deviation is
Construct a 90% confidence interval for the mean mathematics SAT
score for the entering freshmen class.
3)
In a small-overlap front crash test, a car is crashed into a
simulated telephone pole and the maximum intrusion of debris into...

Construct a scatterplot and identify the mathematical model that
best fits the data shown below. Let x represent the year since
1959, with 1960 coded as
xequals=1,
1973 coded as
xequals=14,
1986 coded as
xequals=27,
and so on. Let y represent the subway fare.
Year
1960
1973
1986
1995
2002
2003
Subway Fare
0.150.15
0.350.35
0.900.90
1.351.35
1.501.50
1.951.95
Choose the correct graph below.
A.
05003xy
A scatterplot has a horizontal x-scale from 0 to 50 in intervals
of 5...

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