De Morgan's laws

De Morgan's laws can be proved easily, and may even seem trivial.

De Morgan's laws hold that these two searches will return the same set of documents:

De Morgan's laws are also satisfied as e.g. expressed by .

De Morgan's laws are an example of a more general concept of mathematical duality.

Both illustrate De Morgan's laws and its mnemonic, "break the line, change the sign".

De Morgan's Laws, specifically the ability to generate the dual of any logical expression.

These concepts are dual because of their complementary-symmetry relationship as expressed by De Morgan's laws.

In electrical and computer engineering, De Morgan's laws are commonly written as:

In set notation, De Morgan's laws can be remembered using the mnemonic "break the line, change the sign".

These two tautologies are a direct consequence of the duality in De Morgan's laws.

This equivalence can be established by applying De Morgan's laws twice to the fourth line of the above proof.

He formulated De Morgan's laws and introduced the term mathematical induction, making its idea rigorous.

Through the use of De Morgan's laws, the product of sums can be determined:

De Morgan's laws provide a way of distributing negation over disjunction and conjunction :

De Morgan's laws are examples.

By De Morgan's laws, the complement of the intersection is a union of two disjoint open sets.

Alternatively, one can use De Morgan's laws during the expansion of the tableau, so that for example is treated as .

This is an abstract form of De Morgan's laws, or of duality applied to lattices.

De Morgan's Laws - specifically the law that a universal statement is true just in case no counterexample exists:

Conjunction and disjunction are dual with respect to negation, which is expressed by De Morgan's laws:

This generalizes De Morgan's laws.

Applying De Morgan's laws creates another product of sums expression for f, but with a new factor of .

This transformation is based on rules about logical equivalences: the double negative law, De Morgan's laws, and the distributive law.

Using these simple circuits in combination with De Morgan's Laws, any combinational function can be created using relays.

The operators are related to one another by similar dualities to quantifiers do (for example by the analogous correspondents of De Morgan's laws).