代数整数环的每个子环都不是归纳环。
Every subring of the ring of algebraic integers is non-inductive.
它在各种各样的计算机系统上运行，尤其擅长于涉及任意长度整数和小数、图、矩阵和多项式代数的算术。
It runs on a variety of computer systems and is especially good at arithmetic involving arbitrary-length integers and fractions, graphics, and matrix and polynomial algebra.
Computationsin CommutativeAlgebra (CoCoA)是另一个免费计算机代数系统，用于处理超大型整数、有理数和多项式。
Computations in Commutative algebra (CoCoA) is another free computer algebra system for working with very large integers, rational Numbers, and polynomials.
计算机代数系统的处理对象虽然是符号公式，但也需要整数运算，并且需要的是无限精度整数运算。
Although the objects processed by a computer algebra system are usually symbolic formulae, it is necessary for the system to operate with integers and even with infinite integers.
逐步阐明格论，概述影响整数最优化的代数几何学思想，并讨论整数最优化的几何学。
Develops the theory of lattices, Outlines ideas from algebraic geometry that have had an impact on integer optimization, and discusses the geometry of integer optimization.
为了符合应用，关于时间的模型从离散的自然数和整数，延伸到稠密的线性实数，甚至扩展到区间代数和树代数。
The underlying model of time appropriate to the application can range from discrete natural numbers and integers to dense linear real numbers or to algebras of intervals and trees.
为了符合应用，关于时间的模型从离散的自然数和整数，延伸到稠密的线性实数，甚至扩展到区间代数和树代数。
The underlying model of time appropriate to the application can range from discrete natural numbers and integers to dense linear real numbers or to algebras of intervals and trees.
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