Fdtxjr

Melting point of aspirin, contradicting sources

Count the occurrence of each unique word in the file

Where does the bonus feat in the cleric starting package come from?

What is this called? Old film camera viewer?

Removing files under particular conditions (number of files, file age)

Problem with TransformedDistribution

Symbol used to indicate indivisibility

How can Trident be so inexpensive? Will it orbit Triton or just do a (slow) flyby?

Is it improper etiquette to ask your opponent what his/her rating is before the game?

Strong empirical falsification of quantum mechanics based on vacuum energy density

Biological Blimps: Propulsion

How do I color the graph in datavisualization?

Why did the Mercure fail?

Aragorn's "guise" in the Orthanc Stone

How do you make your own symbol when Detexify fails?

What prevents the use of a multi-segment ILS for non-straight approaches?

Why can Carol Danvers change her suit colours in the first place?

Terse Method to Swap Lowest for Highest?

Electoral considerations aside, what are potential benefits, for the US, of policy changes proposed by the tweet recognizing Golan annexation?

The IT department bottlenecks progress. How should I handle this?

Is it possible to have a strip of cold climate in the middle of a planet?

Is it safe to use olive oil to clean the ear wax?

Closed-form expression for certain product

How to implement a feedback to keep the DC gain at zero for this conceptual passive filter?

Solution to maximum entropy of the gravity model

Deriving the equations in a lagrange multiplierLagrange multipliers in the context of the calculus of variationsLet $f(x,y)=frac x^22+frac y^24$ on $(x,y)$. Find the absolute maximum and minimum if they exist.Lagrange Multipliers for linear functionalsLagrange Multiplier in 3DMaximum with Lagrange multiplierHow to solve this quadratic optimization problem using Lagrange multipliers?Minimum-entropy distribution using Lagrange multipliersLagrange multiplier question with unit circle constraintFinding the maximum and minimum of $2x-y-5z=k$

1

$begingroup$

I need some algebra help to come up with a solution to the maximum entropy formulation of the gravity model.
The problem:
$ hspace35pt\
max H =-sum_i=1^I sum_j=1^J T_i_jln( T_i_j) \
sum_j=1^J O_i hspace35pt i =1,..,I \
sum_i=1^I D_j hspace35pt j =1,..,J \
sum_i=1^I sum_j=1^J c_i_jT_i_j le bar C \
T_i_j ge 0, hspace35pt i=1,..,I, hspace10pt j =1,..,J $

And to show that the solution to the problem equals :$ T_i_j = r_is_irm e^-lambda c_i_j $
. I think that i should make use of a Lagrange-multiplier so get the lambda, but I do not know how. Can somebody help me here, or give some links to solutions?

/U

lagrange-multiplier entropy

share|cite|improve this question

asked Mar 15 at 16:39

Ulrich_PetersUlrich_Peters

111

$endgroup$

add a comment | 

1

$begingroup$

I need some algebra help to come up with a solution to the maximum entropy formulation of the gravity model.
The problem:
$ hspace35pt\
max H =-sum_i=1^I sum_j=1^J T_i_jln( T_i_j) \
sum_j=1^J O_i hspace35pt i =1,..,I \
sum_i=1^I D_j hspace35pt j =1,..,J \
sum_i=1^I sum_j=1^J c_i_jT_i_j le bar C \
T_i_j ge 0, hspace35pt i=1,..,I, hspace10pt j =1,..,J $

And to show that the solution to the problem equals :$ T_i_j = r_is_irm e^-lambda c_i_j $
. I think that i should make use of a Lagrange-multiplier so get the lambda, but I do not know how. Can somebody help me here, or give some links to solutions?

/U

lagrange-multiplier entropy

share|cite|improve this question

asked Mar 15 at 16:39

Ulrich_PetersUlrich_Peters

111

$endgroup$

add a comment | 

$begingroup$

I need some algebra help to come up with a solution to the maximum entropy formulation of the gravity model.
The problem:
$ hspace35pt\
max H =-sum_i=1^I sum_j=1^J T_i_jln( T_i_j) \
sum_j=1^J O_i hspace35pt i =1,..,I \
sum_i=1^I D_j hspace35pt j =1,..,J \
sum_i=1^I sum_j=1^J c_i_jT_i_j le bar C \
T_i_j ge 0, hspace35pt i=1,..,I, hspace10pt j =1,..,J $

And to show that the solution to the problem equals :$ T_i_j = r_is_irm e^-lambda c_i_j $
. I think that i should make use of a Lagrange-multiplier so get the lambda, but I do not know how. Can somebody help me here, or give some links to solutions?

/U

lagrange-multiplier entropy

share|cite|improve this question

asked Mar 15 at 16:39

Ulrich_PetersUlrich_Peters

111

$endgroup$

share|cite|improve this question

asked Mar 15 at 16:39

Ulrich_PetersUlrich_Peters

111

share|cite|improve this question

asked Mar 15 at 16:39

Ulrich_PetersUlrich_Peters

111

asked Mar 15 at 16:39

Ulrich_PetersUlrich_Peters

111

asked Mar 15 at 16:39

Ulrich_PetersUlrich_Peters

111