We introduce a new class of numerical semigroups, which we call the class of {\it acute} semigroups and we prove that they generalize symmetric and pseudo-symmetric numerical semigroups, Arf numerical semigroups and the semigroups generated by an interval. For a numerical semigroup $\Lambda=\{\lambda_0<\lambda_1<\dots\}$ denote $\nu_i=\#\{j\mid\lambda_i-\lambda_j\in\Lambda\}$. Given an acute numerical semigroup $\Lambda$ we find the smallest non-negative integer $m$ for which the order bound on the minimum distance of one-point Goppa codes with associated semigroup $\Lambda$ satisfies $d_{ORD}(C_i)(:=\min\{\nu_j\mid j>i\})=\nu_{i+1}$ for all $i\geq m$. We prove that the only numerical semigroups for which the sequence $(\nu_i)$ is always non-decreasing are ordinary numerical semigroups. Furthermore we show that a semigroup can be uniquely determined by its sequence $(\nu_i)$.

翻译：我们引入一类新的数值半群，称为急性半群，并证明它们推广了对称与伪对称数值半群、Arf数值半群以及区间生成的半群。对于数值半群$\Lambda=\{\lambda_0<\lambda_1<\dots\}$，定义$\nu_i=\#\{j\mid\lambda_i-\lambda_j\in\Lambda\}$。给定一个急性数值半群$\Lambda$，我们找到满足以下条件的最小非负整数$m$：对于所有$i\geq m$，与半群$\Lambda$关联的单点戈帕码的最小距离的阶界满足$d_{ORD}(C_i)(:=\min\{\nu_j\mid j>i\})=\nu_{i+1}$。我们证明序列$(\nu_i)$始终非递减的唯一数值半群是普通数值半群。此外，我们证明一个半群可由其序列$(\nu_i)$唯一确定。