Examples of using If and only if it in English and their translations into Vietnamese
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Colloquial
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Ecclesiastic
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Computer
An act is morally right if and only if it is what a virtuous person would do.
We will make a long-term deal on immigration if and only if it's good for our country.”.
More generally, a function of several complex variables that is square integrable over every compact subset of its domain is analytic if and only if it satisfies the Cauchy- Riemann equations in the sense of distributions.
Euclidean topology defined above; a sequence converges to a point in this topology if and only if it converges from below in the Euclidean topology.
More generally, a function of several complex variables that is square integrable over every compact subset of its domain is analytic if and only if it satisfies the Cauchy-Riemann equations in the sense of distributions.
finer than the Euclidean topology defined above; a sequence converges to a point in this topology if and only if it converges from above in the Euclidean topology.
This action could be justified by means of the utilitarian principle concerning morality: that an action is considered‘right' if and only if it promotes the greatest happiness.
continuity hypothesis is unnecessary: f is holomorphic if and only if it is holomorphic in each variable separately.
Going the other direction, a function f from a topological space Y to a discrete space X is continuous if and only if it is locally constant in the sense that every point in Y has a neighborhood on which f is constant.
element X in ZN, that element has an inverse if and only if it is relatively prime to the modulus N, to the number N. So I will say that again.
Likewise, it has diseconomies of scale(is operating in an upward sloping region of the long-run average cost curve) if and only if it has decreasing returns to scale, and has neither economies nor diseconomies of scale if it has constant returns to scale.
Known methods employed to accomplish this task assert that, for every theory T, it is possible to find a theory T* without theoretical terms so that an observational statement O is a consequence of T* if and only if it is a consequence of T.
the discriminant is zero if and only if it has a multiple root,
is not, genuinely scientific: a theory should be considered scientific if, and only if, it is falsifiable.
A subset is compact if and only if it is closed and bounded.
A graph is connected if and only if it has a spanning tree.
A set is closed if and only if it contains its boundary, and open.
Moreover, a complex number is real if and only if it equals its conjugate.