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2. Mathematical notation - Wikipedia

   en.wikipedia.org/wiki/Mathematical_notation

   Mathematical notation consists of using symbols for representing operations, unspecified numbers, relations, and any other mathematical objects and assembling them into expressions and formulas. Mathematical notation is widely used in mathematics , science , and engineering for representing complex concepts and properties in a concise ...

3. Glossary of mathematical symbols - Wikipedia

   en.wikipedia.org/wiki/Glossary_of_mathematical...

   A mathematical symbol is a figure or a combination of figures that is used to represent a mathematical object, an action on mathematical objects, a relation between mathematical objects, or for structuring the other symbols that occur in a formula. As formulas are entirely constituted with symbols of various types, many symbols are needed for ...

4. List of mathematical theories - Wikipedia

   en.wikipedia.org/wiki/List_of_mathematical_theories

   This is a list of mathematical theories. Almgren–Pitts min-max theory; Approximation theory; Arakelov theory; Asymptotic theory; Automata theory; Bass–Serre theory;

5. List of theorems - Wikipedia

   en.wikipedia.org/wiki/List_of_theorems

   List of mathematical functions; List of mathematical identities; List of mathematical proofs; List of misnamed theorems; List of scientific laws; List of theories; Most of the results below come from pure mathematics, but some are from theoretical physics, economics, and other applied fields.

6. History of mathematical notation - Wikipedia

   en.wikipedia.org/wiki/History_of_mathematical...

   The history of mathematical notation [1] covers the introduction, development, and cultural diffusion of mathematical symbols and the conflicts between notational methods that arise during a notation's move to popularity or obsolescence. Mathematical notation [2] comprises the symbols used to write mathematical equations and formulas.

7. Foundations of mathematics - Wikipedia

   en.wikipedia.org/wiki/Foundations_of_mathematics

   These problems were also studied by mathematicians, and this led to establish mathematical logic as a new area of mathematics, consisting of providing mathematical definitions to logics (sets of inference rules), mathematical and logical theories, theorems, and proofs, and of using mathematical methods to prove theorems about these concepts.

8. Union (set theory) - Wikipedia

   en.wikipedia.org/wiki/Union_(set_theory)

   In this Boolean algebra, union can be expressed in terms of intersection and complementation by the formula = (), where the superscript denotes the complement in the universal set ⁠ ⁠. Alternatively, intersection can be expressed in terms of union and complementation in a similar way: A ∩ B = ( A ∁ ∪ B ∁ ) ∁ {\displaystyle A\cap B ...

9. Theory (mathematical logic) - Wikipedia

   en.wikipedia.org/wiki/Theory_(mathematical_logic)

   In mathematical logic, a theory (also called a formal theory) is a set of sentences in a formal language. In most scenarios a deductive system is first understood from context, after which an element ϕ ∈ T {\displaystyle \phi \in T} of a deductively closed theory T {\displaystyle T} is then called a theorem of the theory.