基本解释：可数无限集
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It is proved that there are countable infinite discontinuous points in plane bounded closed region D, and these discontinuous points in D only have not many of accumulation points bounded functions which are also integrable functions on D.对于多元函数可积函数类，进行了拓展性研究，论证了在平面有界闭区域Ｄ内有可数无限个不连续点，且这些不连续点在Ｄ内只有有限个聚点的有界函数也是Ｄ上的可积函数。
Based on the background of Church-Turing thesis, this paper discusses mankind s cognitive ability and limit, points out that mankind s cognition has countable infiniteness property and its ability is restricted by recursive rule.本文以丘奇—图灵论点为背景,论述了人类认知能力及其极限,提出了人类认知的可数无限性,和人的认知能力是受递归规律限制的观点。
APPROXIMATE ARBITRAGE, MEASURE OF EQUILIBRIUM PRICE AND VALUATION OF ONE-PERIOD FINANCIAL MARKETS WITH COUNTABLE INFINITE STATES;单期可数无限态金融市场的渐近套利、均衡价格测度和估值
infinitely continuously derivable functio无限次连续可微函数
It saves a lot of money and a great deal of efforts in language learning.可省无数银子，可免语言学习的无限痛苦，
A variable is a quantity to which an unlimited number of values can be assigned.变量是一个可以有无限数值的量。
the approach of an infinite series to a finite limit.无限级数向有限数的级限的逼近。
An extremely large, indefinite number.无数无限大、没限定的数目
Limits the number of unicast players that can be simultaneously connected to the server. The default value is unlimited.限制可以同时连接到服务器的单播播放机的数量。默认值是无限制。
When imposed some restrictions on the integrand, the limit can be equal zero at infinity.当对被积函数作某些限制时，其在无穷远处的极限可以为零。
TCL: Digital Community, Great HappinessTCL数字家园 快乐无限
The B-Valued Dirichlet Series of Infinite Order无限级B-值Dirichlet级数
No signed rights data was provided. The server cannot issue a signed publishing license.未提供已签署的权限数据。服务器无法发行已签署的发布许可证。
No rights data was provided. The server cannot issue a signed publishing license. {0}未提供权限数据。服务器无法发布已签署的发布许可证。{0}
Subscriptions never expire. Replication meta data is kept indefinitely which can cause performance problems.订阅从不到期。复制元数据将无限期保留，这可能会造成性能问题。
I knew it was tough to be a minority in the business, but the future seemed limitless.我知道，作为少数人种在干这行的艰辛，可是，未来却似乎无所限量。
The managers may have limited or unlimited discretion.经理们可有无限或有限酬处权。
Inverse Iimits and Infinite Tychonoff Produces About B_i-Expandable Spaces关于可膨胀空间的逆极限及无限Tychonoff积
There are a limited number of tiles for the game.每一盘可用牌数有限。
The permits are numbered.许可证的数量是有限的。
