当且仅 英语是什么意思 - 英语翻译

• if and only

在 中文 中使用 当且仅 的示例及其翻译为 英语

此不等式当且仅.
This inequality is strict if and only if.

当且仅当其被冠上主权，它才能形成海洋权益。
Only if it is crowned a sovereign, can it generate maritime entitlement.

当且仅当雪是白的.
Only if snow is white.

当且仅限制较少的替代将是无效的。
And only when less restrictive alternatives would be ineffective.

也就是，一个状态St是Markov当且仅当.
A state is Markov if and only if.

X属于A∩B当且仅当.
X is an element of A∪ B if and only if.

例如，一事件独立于其自身当且仅当.
Note that an event is independent of itself if and only if.

F连续于x，当且仅当.
F is continuous at x if and only if.

例如，一事件独立于其自身当且仅当.
For example an event is independent of itself if and only if.

所以空间将是T0但不是T1，当且仅当在X上的这个特殊化预序是非离散偏序。
So a space will be T0 but not T1 if and only if the specialization preorder on X is a non-discrete partial order.

表达式E属于glvalue类，当且仅当E属于左值类别或xvalue类别。
The expression E belongs to the glvalue category if and only if E belongs to the lvalue category, or to the xvalue category.

若A是闭集，则A包含S当且仅当A包含cl(S)。
If A is a closed set, then A contains S if and only if A contains cl(S).

域F是代数闭域，当且仅当对于每一个自然数n，任何从Fn到它本身的线性映射都有某个特征向量。
The field F is algebraically closed if and only if, for each natural number n, every linear map from Fn into itself has some eigenvector.

在一致空间中，x≡y当且仅当有序对(x,y)属于所有周围（entourage）。
In a uniform space, x≡ y if and only if the pair(x, y) belongs to every entourage.

某集合的边界为空，当且仅当该集合既是开集也是闭集(也就是闭开集)。
The boundary of a set is empty if and only if the set is both closed and open(that is, a clopen set).

形式语言的公式是一个有效的公式，当且仅当它是根据语言的每一个可能的解释属实。
A formula of a formal language is a valid formula if and only if it is true under every possible interpretation of the language.

换言之，牛A和B可以谈话，当且仅当存在一个序列奶牛T_1，T_2，….
In other words, cows A and B can have a conversation if and only if there exists a sequence of cows T_1, T_2,….

全称(存在)公式为真，当且仅当它的所有(某些)代换实例为真。
A universal(existential) formula is true if and only if all(some) substitution instances of it are true.

最基本的谓词是ISZERO，它返回TRUE当且仅当它的参数是邱奇数0:.
The most fundamental predicate is ISZERO which returns TRUE if and only if its argument is the Church numeral 0:.

是否定算符：为真当且仅当为假；换句话说，当且仅当a不是学者。
Is the negation operator: is true if and only if is false, in other words if and only if a is not a scholar.

C是一个笛卡儿闭范畴（或一个拓扑斯）当且仅当D是笛卡儿闭（或拓扑斯）。
C is a cartesian closed category(or a topos) if and only if D is cartesian closed(or a topos).

传统的知识论一直关注正当性。根据传统的知识模型，命题p是当且仅当：.
Traditional epistemology has been concerned with justification. According to the traditional model of knowledge, some proposition p is knowledge if and only if:.

可以证明：(m,m+2)是孪生素数，当且仅当.
It has been proved that the pair m, m+ 2 is a twin prime if and only if.

希尔伯特-施密特算子的集合在范数拓扑下是闭集，当且仅当H是有限维空间。
The set of Hilbert- Schmidt operators is closed in the norm topology if, and only if, H is finite-dimensional.

X{\displaystylex}是A∪B{\displaystyleA\cupB}的元素，当且仅当.
X is an element of A∪ B if and only if.

X是A∪B{\displaystyleA\cupB}的元素，当且仅当.
X is an element of A\\B if and only if.

一个有用的结论指出，当概率密度fθ存在时，S(X)是最小充分统计量当且仅当.
A useful characterization of minimal sufficiency is that when the density fθ exists, S(X) is minimal sufficient if and only if.

加密也是一个双向过程，但当且仅当加密密钥已知时才能检索原始数据。
Encryption is also a two way process, but original data can be retrieved if and only if the encryption key is known.

本准则要求，当且仅当特定条件满足时，企业应确认无形资产。
This Standard requires an entity to recognize and intangible asset if, and only if, specified criteria are met.