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2. Equation - Wikipedia

   en.wikipedia.org/wiki/Equation

   The first use of an equals sign, equivalent to 14x + 15 = 71 in modern notation. From The Whetstone of Witte by Robert Recorde of Wales (1557). [1]In mathematics, an equation is a mathematical formula that expresses the equality of two expressions, by connecting them with the equals sign =.

3. Algebraic expression - Wikipedia

   en.wikipedia.org/wiki/Algebraic_expression

   An algebraic equation is an equation involving polynomials, for which algebraic expressions may be solutions. If you restrict your set of constants to be numbers, any algebraic expression can be called an arithmetic expression. However, algebraic expressions can be used on more abstract objects such as in Abstract algebra.

4. Equality (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Equality_(mathematics)

   In mathematics, equality is a relationship between two quantities or expressions, stating that they have the same value, or represent the same mathematical object. [1] Equality between A and B is written A = B, and pronounced " A equals B ". In this equality, A and B are distinguished by calling them left-hand side (LHS), and right-hand side (RHS).

5. Equivalence relation - Wikipedia

   en.wikipedia.org/wiki/Equivalence_relation

   In mathematics, an equivalence relation is a binary relation that is reflexive, symmetric and transitive. The equipollence relation between line segments in geometry is a common example of an equivalence relation. A simpler example is equality. Any number is equal to itself (reflexive). If , then (symmetric).

6. Algebra - Wikipedia

   en.wikipedia.org/wiki/Algebra

   Algebra. Elementary algebra studies which values solve equations formed using arithmetical operations. Abstract algebra studies algebraic structures, such as the ring of integers given by the set of integers together with operations of addition ( ) and multiplication ( ). Algebra is the branch of mathematics that studies certain abstract ...

7. Element (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Element_(mathematics)

   Element (mathematics) In mathematics, an element (or member) of a set is any one of the distinct objects that belong to that set. For example, given a set called A containing the first four positive integers ( ), one could say that "3 is an element of A ", expressed notationally as 123.

8. Expression (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Expression_(mathematics)

   In mathematics, an expression is a written arrangement of symbols following the context-dependent, syntactic conventions of mathematical notation. Symbols can denote numbers (constants), variables, operations, and functions. [1] Other symbols include punctuation marks and brackets, used for grouping where there is not a well-defined order of ...

9. Identity (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Identity_(mathematics)

   Thus, . In mathematics, an identity is an equality relating one mathematical expression A to another mathematical expression B, such that A and B (which might contain some variables) produce the same value for all values of the variables within a certain domain of discourse. [1][2] In other words, A = B is an identity if A and B define the same ...