查询词典 vector algebra

As a matter of fact we develop our study in the more general and more natural context of a theory ~ internally defined with respect to a topos of sheaves on a frame (i.e. a complete Heyting algebra; for example the algebra of open subsets of a topological space).

作为一个事实上我们在发展中的一个理论更普遍，更自然的环境研究国内关于对一帧的捆一topos中定义的（即完全Heyting代数，例如以开放的子集代数拓扑空间）。

The algebra of quaternions, the first noncommutative algebra was thus suddenly born.

四元数的代数，第一非交换的代数，就这样在一夜之间诞生了。

The algebra of quaternions, the first noncommutative algebra was thus suddenly born

四元数的代数，第一非交换的代数，就这样突然诞生了。

The algebra of quaternions, the first noncommutative algebra was thus suddenly born.

它们对应的一般代数分别是正则双Stone代数、预粗代数和半简单Nelson代数。

AF C*-algebra is the self-adjoint limit algebra, so it has relatively complex structure.

AF代数是自伴的极限代数，因而结构比较复杂。

For example, the set algebra for the set T defined above corresponds to a Boolean algebra of 32 elements.

例如，上文定义的集合的个元素集合代数就对应一个有32个元素的布尔代数个元素的布尔代数。

High School: Algebra, Geometry, Advanced Algebra, Trigonometry, Pre-Calculus conics and limits

高中：代数，几何，高等代数，三角学，微积分先修课二次曲线论和极限

High School: Algebra, Geometry, Advanced Algebra, Trigonometry, Pre-Calculus

高中：代数，几何，高等代数，三角学，？圆锥和极限

In chapter 1, we introduce the notions of the approximately 2-local automorphisms, the approximately local Hilbert space representations and the approximately 2- local Hilbert space representations;We prove that every surjective and multiplicative approximately local *-automorphisms of a C*- algebra with a unique faithful tracial state is *-automorphisms;surjective approximately 2- local *- automorphisms of C*-algebra with unique faithful tracial states are Jordan *- automorphisms;Surjective approximately 2- local *- automorphisms of a finit factor are *-automorphisms;Approximately 2- local *- automorphisms of M_n are *-automorphisms.

第一章定义了近似2—局部自同构，近似局部表示，近似2—局部表示；证明了有唯一忠实迹态的C~*-代数上的满可乘近似局部*—自同构是*—自同构，满近似2—局部*—自同构是Jordan *—自同构，有限因子上的满近似2—局部*—自同构是*—自同构，以及矩阵代数M_n上的近似2—局部*—自同构是*—自同构。

The concept of congruence is an important content of the universal algebra and congruences play a fundamental role in defining the structure and properties of the universal algebra.

同余是泛代数的重要研究内容，泛代数上的同余在一定意义上能够刻画和确定泛代数的结构和性质。

There are different types of personal loans available.

有许多不同类型的个人贷款优惠。

The above mentioned teaching model of spiral rising can be used to avoid rigidness in teaching.

上述螺旋式上升的教学模式，可以避免教学形成模式後的僵化现象。