algebraic equation
代數方程
algebraic expression
代數表達式
linear algebra
線性代數
algebraic manipulation
代數運算
elementary algebra
初等代數
boolean algebra
布爾代數
lie algebra
李代數，李氏代數
relational algebra
[數]關係代數
advanced algebra
高等代數，大代數
matrix algebra
[數]矩陣代數
modern algebra
近世代數
abstract algebra
抽象代數
He was not good at algebra in middle school.
他中學時不擅長代數。
had the algebra problems down.
精通代數問題
algebra is, properly speaking , the analysis of equations.
代數，確切地說，就是方程解析。
In algebra, the sign X usually denotes an unknown quantity.
在代數里, 符號X常用來表示未知數。
Moreover, the inner automorphism group of a basic quasi-hereditary algebra acts transitively on the set of its exact Borel subalgebras.
【摘要】： 正 It is proved that the exact <b>Borel</b> subalgebras of a basic quasi-hereditary algebra are conjugate to each other.
Further more,we prove that the cohomotopy groups is isomorphic to K1 -group of the continuous algebra on topological boundary of bounded domains in C.
進一步證明了：在複平面C中，任意有界域的拓撲邊界上連續函數代數的K_1-羣與其邊界上的上同倫羣同構。
If you want to be a draftsman, a machinist, a molder, or a patternmaker, you'll need algebra and geometry and even trigonometry.
如果你想成爲手工藝人、縫紉工、造型工或制模工，你需要代數和幾何，甚至三角學。
Using the notion of coefficient matrix and maximal element.We prove that the Lie algebra is semi-simple and it has no abelian two dimensional subalgebra.
利用係數矩陣和極大項，證明了這類李代數是半單李代數且沒有二維交換子代數。
In this paper, the conclusion is that the intersection of lie subring of a Lie group is a Lie subring is obtained, moreover,it gives the Lie algebra of the Lie subring.
文章通過李子羣的性質得出了李羣的兩個李子羣的交依然是李子羣的結論,進而得出這一李子羣的李代數形式。
In this paper, we proved that the definition of a semilattice as a universal algebra and the definition of a semilattice as a partial ordered set are equivalent.
本文中，我們證明了作爲泛代數的半格的定義與作爲偏序集的半格的定義是等價的。
Four years after he graduated from school, Tom decided to dust off his algebra book.
湯姆從學校畢業四年後, 決意重溫代數。
If σ_p(A) and σ_p(B) are not empty, then A,B are similar in the Calkin algebra C(H) if and only if there exists a compact operator K such that A + K ~ B.
如果σ_p(A)和σ_p(B)都是非空集合， 則A，B在<b>Calkin</b>代數C(H)中相似當且僅當存在緊算子K 使得A + K ~ B。
In the paper,we discuss some properties of prolongation in which the voctor field X of the manifold M polongs to the Cotangent Bundle T *M,and the Prolongation of the Lie algebra of Lie groups.
文章討論了流形M上的向量場X在其餘切叢T*M上的拓展的幾個性質,並討論了李羣上李代數的拓展。
In this paper, we will give the explicitly condition on the parameter set Ω such that the cyclotomic Birman-Murakami-Wenzl algebra BMWr,2 over a commutative ring is R-free with rank 3r2.
本文將給出關於參數集合Ω的約束條件，使得定義在交換環R上的分圓Birman-Murakami-Wenzl代數BMWr，2是秩爲3r2的自由R-代數.
algebraic equation
代數方程
algebraic expression
代數表達式
linear algebra
線性代數
algebraic manipulation
代數運算
elementary algebra
初等代數
boolean algebra
布爾代數
lie algebra
李代數，李氏代數
relational algebra
[數]關係代數
advanced algebra
高等代數，大代數
matrix algebra
[數]矩陣代數
modern algebra
近世代數
abstract algebra
抽象代數
He was not good at algebra in middle school.
他中學時不擅長代數。
had the algebra problems down.
精通代數問題
algebra is, properly speaking , the analysis of equations.
代數，確切地說，就是方程解析。
In algebra, the sign X usually denotes an unknown quantity.
在代數里, 符號X常用來表示未知數。
Moreover, the inner automorphism group of a basic quasi-hereditary algebra acts transitively on the set of its exact Borel subalgebras.
【摘要】： 正 It is proved that the exact <b>Borel</b> subalgebras of a basic quasi-hereditary algebra are conjugate to each other.
Further more,we prove that the cohomotopy groups is isomorphic to K1 -group of the continuous algebra on topological boundary of bounded domains in C.
進一步證明了：在複平面C中，任意有界域的拓撲邊界上連續函數代數的K_1-羣與其邊界上的上同倫羣同構。
If you want to be a draftsman, a machinist, a molder, or a patternmaker, you'll need algebra and geometry and even trigonometry.
如果你想成爲手工藝人、縫紉工、造型工或制模工，你需要代數和幾何，甚至三角學。
Using the notion of coefficient matrix and maximal element.We prove that the Lie algebra is semi-simple and it has no abelian two dimensional subalgebra.
利用係數矩陣和極大項，證明了這類李代數是半單李代數且沒有二維交換子代數。
In this paper, the conclusion is that the intersection of lie subring of a Lie group is a Lie subring is obtained, moreover,it gives the Lie algebra of the Lie subring.
文章通過李子羣的性質得出了李羣的兩個李子羣的交依然是李子羣的結論,進而得出這一李子羣的李代數形式。
In this paper, we proved that the definition of a semilattice as a universal algebra and the definition of a semilattice as a partial ordered set are equivalent.
本文中，我們證明了作爲泛代數的半格的定義與作爲偏序集的半格的定義是等價的。
Four years after he graduated from school, Tom decided to dust off his algebra book.
湯姆從學校畢業四年後, 決意重溫代數。
If σ_p(A) and σ_p(B) are not empty, then A,B are similar in the Calkin algebra C(H) if and only if there exists a compact operator K such that A + K ~ B.
如果σ_p(A)和σ_p(B)都是非空集合， 則A，B在<b>Calkin</b>代數C(H)中相似當且僅當存在緊算子K 使得A + K ~ B。
In the paper,we discuss some properties of prolongation in which the voctor field X of the manifold M polongs to the Cotangent Bundle T *M,and the Prolongation of the Lie algebra of Lie groups.
文章討論了流形M上的向量場X在其餘切叢T*M上的拓展的幾個性質,並討論了李羣上李代數的拓展。
In this paper, we will give the explicitly condition on the parameter set Ω such that the cyclotomic Birman-Murakami-Wenzl algebra BMWr,2 over a commutative ring is R-free with rank 3r2.
本文將給出關於參數集合Ω的約束條件，使得定義在交換環R上的分圓Birman-Murakami-Wenzl代數BMWr，2是秩爲3r2的自由R-代數.
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