严格按照预先分配金额支出，我们叫做“零元预算”。
If you assign every dollar a specific place this is called a zero-dollar budget.
将代数学中的幂零元概念作适当的解析学上的推广，可以绘出一个很满意回答。
A very satisfactory answer can be given in terms of the appropriate analytic generalization of the algebraic concept of nilpotence.
判断向量中是否存在非零元素，若存在返回1，否则返回0(忽略nan元素)。
Any TRUE if any element of a vector is a nonzero number or is logical 1 (TRUE).
研究如何应用位移秩的方法有效地求出一个给定的结构矩阵的核空间中的一个非零元素。
The main problem considered in this paper is how to find efficiently a nonzero element in the kernel of a given structured matrix by the displacement approach.
零元素：集合中的一个元素，当它加上集合中的任何一个元素时，得到的数值等于被加元素值。
An element of a set that when added to any other element in the set produces a sum identical with the element to which it is added.
在给出它的若干特征之后，指出这一类半群也是群的矩阵的幂零元-理想扩张，但反之未必成立。
Also, after some prelimenaries, We have Obtained that the semigroup is further nil-extension of the matrix of groups, but the converse is not all true.
该算法采用人们熟悉的树型数据结构，可以较为合理地表示稀疏校验矩阵中行与列中非零元素的跳转关系。
This algorithm used the data of tree structure, and could more reasonably the skipping relations of the non-zero elements in the rows and lines of the sparse check matrix.
针对管网模型中雅克比矩阵高稀疏性的特点，采用三元组顺序表只对矩阵中的非零元素进行存储，提高了程序的存储和计算效率。
Triple table is used to only store non-zero matrix elements to improve the program's efficiency of storage and computation because simulation model's Jacobian matrix is serious sparse.
如果一个惯量任意符号模式的任意非零元被零取代后所得到的符号模式不是惯量任意的，那么这个惯量任意符号模式称为极小惯量任意符号模式。
A sign pattern S is minimally inertially arbitrary if it is inertially arbitrary but is not inertially arbitrary if any nonzero entry(or entries)of S is replaced by zero.
如果一个惯量任意符号模式的任意非零元被零取代后所得到的符号模式不是惯量任意的，那么这个惯量任意符号模式称为极小惯量任意符号模式。
A sign pattern S is minimally inertially arbitrary if it is inertially arbitrary but is not inertially arbitrary if any nonzero entry(or entries)of S is replaced by zero.
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