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2. De Morgan's laws - Wikipedia

   en.wikipedia.org/wiki/De_Morgan's_laws

   De Morgan's laws represented with Venn diagrams.In each case, the resultant set is the set of all points in any shade of blue. In propositional logic and Boolean algebra, De Morgan's laws, [1] [2] [3] also known as De Morgan's theorem, [4] are a pair of transformation rules that are both valid rules of inference.

3. Serre's multiplicity conjectures - Wikipedia

   en.wikipedia.org/wiki/Serre's_multiplicity...

   Let R be a Noetherian, commutative, regular local ring and let P and Q be prime ideals of R. Serre defined the intersection multiplicity of R / P and R / Q by means of their Tor functors . Below, ℓ R ( M ) {\displaystyle \ell _{R}(M)} denotes the length of the module M {\displaystyle M} , and we assume for the remainder of the article that

4. Intersection number - Wikipedia

   en.wikipedia.org/wiki/Intersection_number

   Let X be a Riemann surface.Then the intersection number of two closed curves on X has a simple definition in terms of an integral. For every closed curve c on X (i.e., smooth function :), we can associate a differential form of compact support, the Poincaré dual of c, with the property that integrals along c can be calculated by integrals over X:

5. List of logic symbols - Wikipedia

   en.wikipedia.org/wiki/List_of_logic_symbols

   Corner quotes, also called “Quine quotes”; for quasi-quotation, i.e. quoting specific context of unspecified (“variable”) expressions; [3] also used for denoting Gödel number; [4] for example “⌜G⌝” denotes the Gödel number of G. (Typographical note: although the quotes appears as a “pair” in unicode (231C and 231D), they ...

6. Bézout's theorem - Wikipedia

   en.wikipedia.org/wiki/Bézout's_theorem

   An intersection point is said isolated if it does not belong to a component of positive dimension of the intersection; the terminology make sense, since an isolated intersection point has neighborhoods (for Zariski topology or for the usual topology in the case of complex hypersurfaces) that does not contain any other intersection point.

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