IF AND ONLY in Chinese translation

• 当且仅
• 当且仅当
• 且仅

Examples of using If and only in English and their translations into Chinese

Then M is a maximal ideal if and only if R/M is a field.
一个理想m是极大的当且仅当R/m是一个域。

That is, the result is true if and only if both its operands are true.
也就是说，结果是真的当且仅当它的两个操作数都是真的。

Axiom 2: A property is positive if and only if its negation is not positive.
公理1:一个性质是肯定的当且仅当它的否定是否定的.

A property is positive if and only if its negation is negative.
公理1:一个性质是肯定的当且仅当它的否定是否定的.

X is almost discrete if and only if A(X) is semisimple.
X是几乎离散的当且仅当A(X)是半单纯的.

Two events A and B are independent if and only if Pr(A∩ B)= Pr(A)Pr(B).
两个事件A和B是独立的当且仅当Pr(A∩B)=Pr(A)Pr(B)。

An ideal m is maximal if and only if R/ m is a field.
一个理想m是极大的当且仅当R/m是一个域。

You exist fully if and only if your conversation(or your scripts) cannot be easily reconstructed with clippings from other conversations.
你存在的充分的当且仅当你的谈话(或写作)不能很容易地重建从其他对话剪辑。

A modal logic M is a companion of L if and only if τ L⊆ M⊆ σ L{\displaystyle\tau L\subseteq M\subseteq\sigma L}.
模态逻辑M是L的伙伴，当且仅当τL⊆M⊆σL{\displaystyle\tauL\subseteqM\subseteq\sigmaL}。

As another example, an algebraic subset W in Kn is irreducible(in the Zariski topology) if and only if I( W){\displaystyle I(W)} is a prime ideal.
再如，Kn中的代数集W是不可约集（关于扎里斯基拓扑）当且仅当I(W){\displaystyleI(W)}为素理想。

Then Goursat's theorem asserts that f is analytic in an open complex domain Ω if and only if it satisfies the Cauchy- Riemann equation in the domain(Rudin 1966, Theorem 11.2).
则柯西积分定理（柯西－古尔萨定理）断言f在开複域Ω上解析当且仅当它在该域上满足柯西-黎曼方程（Rudin1966，Theorem11.2）。

Every group is a loop, because a∗ x= b if and only if x= a- 1∗ b, and y∗ a= b if and only if y= b∗ a- 1.
每个群都是圈，因为a*x=b当且仅当x=a-1*b，以及y*a=b当且仅当y=b*a-1。

A sufficient statistic is minimal sufficient if it can be represented as a function of any other sufficient statistic. In other words, S(X) is minimal sufficient if and only if[7].
若一个充分统计量是任何其他充分统计量的函数，则称奇是一个最小充分统计量。即，统计量S(X)是最小充分统计量当且仅当[7].

If x0 is a real number, we can turn the set R-{x0} into a directed set by writing a≤ b if and only if|a- x0|≥|b- x0|.
如果x0是实数，我们可以把R-{x0}集合变成有向集合，通过写a≤b当且仅当|a-x0|≥|b-x0|。

If a is an odd number and m= 8, 16, or some higher power of 2, then a is a residue modulo m if and only if a≡ 1(mod 8).
M为8，16或2的更高次方，那么a是关于m的二次剩余当且仅当a≡1(mod8)。

If p, q are elements of Spec(R)(the spectrum of a commutative ring R) then p≤ q if and only if q⊆ p(as prime ideals).
如果p,q是Spec(R)(交换环R的谱)的元素则p≤q，当且仅当q⊆p(如素理想)。

B posets, the set of functions A→ B can be ordered by f≤ g if and only if(∀x∈ A) f(x)≤ g(x).
若A、B是偏序集，则函数集A→B可被表示成偏序关系f≤g当且仅当∀x∈A时f(x)≤g(x)。

Deleted pages can be restored, by administrators, if and only if there is support on Wikiquote: Deletion review, or the page was speedily deleted out-of-process.
删除的页面可以由管理员恢复，如果且仅如果在維基百科:存廢覆核請求上面得到支持，或页面是没有按照过程，而是进行快速删除的。

With equality if and only if n= 2· 5r, for r≥ 1.[4] The first examples are π(10)= 60 and π(50)= 300. If n is not of the form 2· 5r, then π(n)≤ 4n.
等号成立当且仅当n=2·5r,r≥1.[4]最小的两个等号成立的例子为π(10)=60及π(50)=300.若n不能表示为2·5r的形式，则π(n)≤4n.

Q is true if and only.
Q为真，当且仅当.