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Anton Petrunin
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Weyl's formula states that:

$$N(R)=\frac{V+o(1)}{(4\pi)^{d/2}\Gamma\left(\frac d2+1\right)}R^{d/2},$$$$N(R)=\frac{1}{(4{\cdot}\pi)^{d/2}{\cdot}\Gamma\left(\frac d2+1\right)}{\cdot}V{\cdot}R^{d/2}+o(R^{d/2}).$$ where $d$ is the--- dimension, $V$ is the--- volume, and $N(R)$ is--- number of eigenvalues $\le R$. It works for any compact Riemannian manifold (and many noncompact ones as well).

Weyl's formula states that

$$N(R)=\frac{V+o(1)}{(4\pi)^{d/2}\Gamma\left(\frac d2+1\right)}R^{d/2},$$ where $d$ is the dimension, $V$ is the volume, and $N(R)$ is number of eigenvalues $\le R$. It works for any compact Riemannian manifold (and many noncompact ones as well).

Weyl's formula:

$$N(R)=\frac{1}{(4{\cdot}\pi)^{d/2}{\cdot}\Gamma\left(\frac d2+1\right)}{\cdot}V{\cdot}R^{d/2}+o(R^{d/2}).$$ where $d$ --- dimension, $V$ --- volume, $N(R)$ --- number of eigenvalues $\le R$. It works for any compact Riemannian manifold.

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GH from MO
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Weyl's formula: states that

$$N(R)=\frac{1}{(4{\cdot}\pi)^{d/2}{\cdot}\Gamma\left(\frac d2+1\right)}{\cdot}V{\cdot}R^{d/2}+o(R^{d/2}).$$$$N(R)=\frac{V+o(1)}{(4\pi)^{d/2}\Gamma\left(\frac d2+1\right)}R^{d/2},$$ where $d$ ---is the dimension, $V$ ---is the volume, and $N(R)$ ---is number of eigenvalues $\le R$. It works for any compact Riemannian manifold (and many noncompact ones as well).

Weyl's formula:

$$N(R)=\frac{1}{(4{\cdot}\pi)^{d/2}{\cdot}\Gamma\left(\frac d2+1\right)}{\cdot}V{\cdot}R^{d/2}+o(R^{d/2}).$$ where $d$ --- dimension, $V$ --- volume, $N(R)$ --- number of eigenvalues $\le R$. It works for any compact Riemannian manifold.

Weyl's formula states that

$$N(R)=\frac{V+o(1)}{(4\pi)^{d/2}\Gamma\left(\frac d2+1\right)}R^{d/2},$$ where $d$ is the dimension, $V$ is the volume, and $N(R)$ is number of eigenvalues $\le R$. It works for any compact Riemannian manifold (and many noncompact ones as well).

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Anton Petrunin
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Weyl's formula:

$$N(R)=\frac{1}{(4{\cdot}\pi)^{d/2}\Gamma\left(\frac d2+1\right)}{\cdot}V{\cdot}R^{d/2}+o(R^{d/2}).$$$$N(R)=\frac{1}{(4{\cdot}\pi)^{d/2}{\cdot}\Gamma\left(\frac d2+1\right)}{\cdot}V{\cdot}R^{d/2}+o(R^{d/2}).$$ where $d$ --- dimension, $V$ --- volume, $N(R)$ --- number of eigenvalues $\le R$. It works for any compact Riemannian manifold.

Weyl's formula:

$$N(R)=\frac{1}{(4{\cdot}\pi)^{d/2}\Gamma\left(\frac d2+1\right)}{\cdot}V{\cdot}R^{d/2}+o(R^{d/2}).$$ where $d$ --- dimension, $V$ --- volume, $N(R)$ --- number of eigenvalues $\le R$. It works for any compact Riemannian manifold.

Weyl's formula:

$$N(R)=\frac{1}{(4{\cdot}\pi)^{d/2}{\cdot}\Gamma\left(\frac d2+1\right)}{\cdot}V{\cdot}R^{d/2}+o(R^{d/2}).$$ where $d$ --- dimension, $V$ --- volume, $N(R)$ --- number of eigenvalues $\le R$. It works for any compact Riemannian manifold.

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Anton Petrunin
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Anton Petrunin
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Anton Petrunin
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Anton Petrunin
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