1) sylvester formula

Sylvester公式
2) Sylvester resultant

Sylvester结式
1.
The remainder sequence of two polynomials is first obtained using the column elementary transformation of the matrix,and then the relation between the Sylvester resultant and the one of the neighbor terms in the remainder sequence is established.
最后根据这个关系导出一种计算Sylvester结式的方法。
3) Sylvester inequality

Sylvester不等式
1.
By using matrix-blocking,this paper gives the necessary and sufficient condition for the equatity sign in the Sylvester inequality,and the sufficient condition for the equatity sign in the Frobenius inequality,and the corresponding algorithm and example are also given.
利用矩阵分块,给出了Sylvester不等式等号成立的充要条件和Frobenius不等式等号成立的充分条件,并给出了判别等号成立的算法算例。
2.
In particular, extremely concise proofs for famous results such as Frobenius inequality and Sylvester inequality are obtained, and some related problems and facts in linear algebra, including properties of matrices with full column rank, and discussed.
特别是,给出了Frobenius不等式,Sylvester不等式等著名结果的极其简洁的证明,据此探讨了线性代数中有关问题和实例,包括列满秩矩阵的特点等。
4) Sylvester-Blumenthal determinant

Sylvester-Blumenthal行列式
5) Sylvester resultant elimination

Sylvester结式消元法
6) Sylvester's law

Sylvester定律
补充资料:70/30费率公式
70/30费率公式
【70150费率公式】承保旧飞机或按原价贬值的飞机时,通常采取的调整收费的方式之一。根据历来的赔付记录,在机身全额赔款中,全吝啦失赔款为70%,部分损失赔款占30%,故以70%计算全损部分费率,以30%计算部分损失费率。通过这一方式,可调整部分损失情况下,新旧飞机价格差额部分应交的保险费。
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