Question

Maximize $f(\mathbf n)=\dfrac{N!}{\prod_{j=1}^M n_j!}$ subject to $\sum_{j=1}^M n_j=N$ and $\sum_{j=1}^M e_jn_j=E$

score 58 · Answer 1 · 2024-03-17 22:33:20

58

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Maximize $f(\mathbf n)=\dfrac{N!}{\prod_{j=1}^M n_j!}$ subject to $\sum_{j=1}^M n_j=N$ and $\sum_{j=1}^M e_jn_j=E$

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List Question

Maximize $f(\mathbf n)=\dfrac{N!}{\prod_{j=1}^M n_j!}$ subject to $\sum_{j=1}^M n_j=N$ and $\sum_{j=1}^M e_jn_j=E$

Statistical Mechanics of interacting Particles. Quantized Fields. Solving Integral?

Invariants under Hamiltonian mechanics?

What are conditions for an infinite sum with a complex parameter not to be analyitically extendable?

How does sphere packing fraction in a long cylinder change with sphere size?

Find the distance travelled by $P$ before it changes direction. (Mechanics)

Derivation of the Boltzmann factor in statistical mechanics

Compute the specific heat capacity of ideal gas under constant $V$ and $p$

How to determine values of coefficients for a comparisonx using factorial design?

Is there an analytic solution for this Fokker-Planck equation?

what does it mean that a system is attractive?

Regarding "Two Singular Diffusion Problems" by William Feller

On random rotational fluctuations in $\mathbb{R}^n$

Proof that a log-of-sum-of-exponentials is a convex function

Scalar derivative of ${\rm tr}~[A(x)\log A(x)]$ where $A(x)$ is a square matrix

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