What is an identity in mathematics?
Q: What is an identity in mathematics?
A: An identity in mathematics is an equality that remains true even if you change all the variables that are used in that equality.
Q: When is an equality in mathematical sense only true?
A: An equality in mathematical sense is only true under more particular conditions.
Q: What is the symbol used for an identity?
A: The symbol used for an identity is not specified, but it is likely that the equal sign (=) is used.
Q: What is the symbol used for a congruence relation?
A: The symbol used for a congruence relation is the same as the symbol used for an identity, i.e. ≡.
Q: How many important uses does the term identity have in mathematics?
A: The term identity has several important uses in mathematics.
Q: What is the difference between an identity and an equality in mathematical sense?
A: An identity remains true even if you change all the variables that are used in that equality, while an equality in mathematical sense is only true under more particular conditions.
Q: Is the same symbol used for an identity and a congruence relation?
A: Yes, the same symbol (≡) can be used for an identity and a congruence relation.
