The Hermite constant was named after Charles Hermite. It determines how much maximum, an element of a lattice, could be short enough in the Euclidean space. It is known in dimensions 1–8 and 24. For n = 2, the Hermite constant is written as: γ_{2}=2/√3.

The Hermite constant was named after Charles Hermite. It determines how much maximum, an element of a lattice, could be short enough in the Euclidean space. It is known in dimensions 1–8 and 24. For n = 2, the Hermite constant is written as: γ_{2}=2/√3.

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For n value, the Hermite constant is defined as: γ_{n}=(sup_{f} min_{xi} f(x_{1}, x_{2},..x_{n}))/[discriminant(f)]^{1/n}. It is also represented as: γ_{n}=4(∂_{n}/V_{n})^{2/n}

where ∂_{n} is the maximum lattice.

For a large value of n, the Hermite Constant is defined as: 1/2∏e≤(γ_{n}/n)≤1.744.../2∏e

For n value, the Hermite constant is defined as: γ_{n}=(sup_{f} min_{xi} f(x_{1}, x_{2},..x_{n}))/[discriminant(f)]^{1/n}. It is also represented as: γ_{n}=4(∂_{n}/V_{n})^{2/n}

where ∂_{n} is the maximum lattice.

For a large value of n, the Hermite Constant is defined as: 1/2∏e≤(γ_{n}/n)≤1.744.../2∏e