Examples of using If and only in English and their translations into Hungarian
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Colloquial
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Official
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Medicine
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Ecclesiastic
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Financial
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Programming
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Official/political
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Computer
Bidders will bid if and only if they can figure out what you're saying.
A set is closed if and only if it coincides with its closure.
Second player wins if and only if the number of edges is even.
With equality if and only if; .
X knows that P, if and only if. .
This implies that a primitive polynomial is irreducible over the rationals if and only if it is irreducible over the integers.
Megjegyzés: Two elements are considered equal if and only if(string) $elem1===(string)
A set is independent if and only if it is a clique in the graph's complement,
The system of linear equation has a non-trivial solution if and only if det(a)= 0.
An item is acceptable if and only if it fulfills at least one of these two goals,
An irreducible chain has a stationary distribution if and only if all of its states are positive recurrent.
A finite graph is planar if and only if it does not contain a subgraph that is a subdivision of K 5{\displaystyle K_{5}}.
Theorem A set F is closed if and only if it contains all of its cluster points.
But"a is a prime number" is false if and only if a is divisible by a natural number different from a and from 1;
The number λ is an eigenvalue of A if and only if A- λIn is not invertible,
A topological space is Hausdorff if and only if it is both preregular and Kolmogorov(i.e. distinct points are topologically distinguishable).
Also a nonempty set A, is closed if and only if it contains all its limit points.
A complete multipartite graph is a graph in which vertices are adjacent if and only if they belong to different partite sets.
A is equivalent to B" has the same meaning as"A is true if and only if B is true".
Hurwitz solved this problem completely showing that the condition held if and only if a certain sequence of determinants are all positive.