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2. Order of operations - Wikipedia

   en.wikipedia.org/wiki/Order_of_operations

   The order of operations, that is, the order in which the operations in an expression are usually performed, results from a convention adopted throughout mathematics, science, technology and many computer programming languages. It is summarized as: [2] [5] Parentheses; Exponentiation; Multiplication and division; Addition and subtraction

3. Associative property - Wikipedia

   en.wikipedia.org/wiki/Associative_property

   For example, the order does not matter in the multiplication of real numbers, that is, a × b = b × a, so we say that the multiplication of real numbers is a commutative operation. However, operations such as function composition and matrix multiplication are associative, but not (generally) commutative.

4. Operation (mathematics) - Wikipedia

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

   An operation of arity zero, or nullary operation, is a constant. [1] [2] The mixed product is an example of an operation of arity 3, also called ternary operation. Generally, the arity is taken to be finite. However, infinitary operations are sometimes considered, [1] in which case the "usual" operations of finite arity are called finitary ...

5. Commutative property - Wikipedia

   en.wikipedia.org/wiki/Commutative_property

   Some truth functions are noncommutative, since the truth tables for the functions are different when one changes the order of the operands. For example, the truth tables for (A ⇒ B) = (¬A ∨ B) and (B ⇒ A) = (A ∨ ¬B) are

6. Function (mathematics) - Wikipedia

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

   At that time, only real-valued functions of a real variable were considered, and all functions were assumed to be smooth. But the definition was soon extended to functions of several variables and to functions of a complex variable. In the second half of the 19th century, the mathematically rigorous definition of a function was introduced, and ...

7. FOIL method - Wikipedia

   en.wikipedia.org/wiki/FOIL_method

   William Betz was active in the movement to reform mathematics in the United States at that time, had written many texts on elementary mathematics topics and had "devoted his life to the improvement of mathematics education". [3] Many students and educators in the US now use the word "FOIL" as a verb meaning "to expand the product of two ...

8. Prisoners of Profit - The Huffington Post

   projects.huffingtonpost.com/prisoners-of-profit?...

   The private prison industry has long fueled its growth on the proposition that it is a boon to taxpayers, delivering better outcomes at lower costs than state facilities. But significant evidence undermines that argument: the tendency of young people to return to crime once they get out, for example, and

9. Order theory - Wikipedia

   en.wikipedia.org/wiki/Order_theory

   The converse of this implication leads to functions that are order-reflecting, i.e. functions f as above for which f(a) ≤ f(b) implies a ≤ b. On the other hand, a function may also be order-reversing or antitone, if a ≤ b implies f(a) ≥ f(b). An order-embedding is a function f between orders that is both order-preserving and order ...