language 用于描述函数的极限
language 用于描述数列极限
converge to ... 收敛到
approach vt. 接近，不及物动词，直接加宾语； 相当于 tend to 加宾语 ；
in contradiction to ...与……相矛盾
be contradictory to ...与……矛盾
be contrary to ...与……相反
illustrate B with A 用A解释说明B
as illustrated 正如……所示
as asserted 正如……所说的
as stated 正如……所述
in the appearance of ...在……表面上
arbitrary a.任意的；同义词 any
eg:for any points on the plane 在平面上任意一点
all we need to prove is that ...我们只需证……
knowledge of sth 知道某事
continous on the left 左连续
continous on the right 右连续
continous at point x0 在点x0处连续
definite intergral 定积分
definite quadratic form 定二次型
increasing sequence 递增序列
incresing series 递增级数
decreasing sequence 递减序列
monotonic a.单调的
monotonic function 单调函数
monotonic sequence 单调序列
successive term 逐项，邻项
successive integration 逐项积分
- sequence n.序列
sequence of number 数列
sequence of real number 实数列
sequence of points 点列
infinite sequence 无穷序列
finite sequence 有限序列
convergence sequence 收敛序列
- limit n. 极限
limit condition 极限条件
limit function极限函数
limit of function 函数的极限
left limit 左极限
right limit 右极限
limiting a.极限的
limiting point of a sequence 极限点
limiting value 极限值
limited a.有限的，局限的
limited variation 有界变差
- converge v.收敛
converge almost everywhere 几乎处处收敛
converge criterion 收敛判别式
converge domain 收敛区域
converge in measure 依测度收敛
converge in mean 平均收敛
converge property 收敛性质
converge uniformly 一致收敛
- diverge v.发散
diverge infinite series 发散无穷级数
diverge intergrals 发散积分
divergence n.发散（性）
divergent a.发散的
- bound n. 界，限 ;v.界定
upper bound 上界
lower bound 下界
least upper bound = supermum 上确界
greatest lower bound = infimum 下确界
bounded a.有界的
bounded function 有界函数
bounded sequence 有界序列
bounded set 有界集
unbounded a.无界的
unbounded domain 无界域
unbounded function 无界函数
