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2. Commutative property - Wikipedia

   en.wikipedia.org/wiki/Commutative_property

   In mathematics, a binary operation is commutative if changing the order of the operands does not change the result. It is a fundamental property of many binary operations, and many mathematical proofs depend on it. Perhaps most familiar as a property of arithmetic, e.g. "3 + 4 = 4 + 3" or "2 × 5 = 5 × 2", the property can also be used in more ...

3. Order of operations - Wikipedia

   en.wikipedia.org/wiki/Order_of_operations

   Order of operations. In mathematics and computer programming, the order of operations is a collection of rules that reflect conventions about which operations to perform first in order to evaluate a given mathematical expression. These rules are formalized with a ranking of the operations. The rank of an operation is called its precedence, and ...

4. Computational complexity of mathematical operations - Wikipedia

   en.wikipedia.org/wiki/Computational_complexity...

   The following tables list the computational complexity of various algorithms for common mathematical operations. Here, complexity refers to the time complexity of performing computations on a multitape Turing machine. [1] See big O notation for an explanation of the notation used. Note: Due to the variety of multiplication algorithms, below ...

5. Multiplication - Wikipedia

   en.wikipedia.org/wiki/Multiplication

   e. Multiplication (often denoted by the cross symbol ×, by the mid-line dot operator ⋅, by juxtaposition, or, on computers, by an asterisk *) is one of the four elementary mathematical operations of arithmetic, with the other ones being addition, subtraction, and division. The result of a multiplication operation is called a product.

6. Outline of algebra - Wikipedia

   en.wikipedia.org/wiki/Outline_of_algebra

   In addition to working directly with numbers, algebra also covers symbols, variables, and set elements. Addition and multiplication are general operations , but their precise definitions lead to structures such as groups , rings , and fields .

7. Addition - Wikipedia

   en.wikipedia.org/wiki/Addition

   Addition (usually signified by the plus symbol +) is one of the four basic operations of arithmetic, the other three being subtraction, multiplication and division. [2] The addition of two whole numbers results in the total amount or sum of those values combined. The example in the adjacent image shows two columns of three apples and two apples ...

8. Field (mathematics) - Wikipedia

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

   e. In mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined and behave as the corresponding operations on rational and real numbers. A field is thus a fundamental algebraic structure which is widely used in algebra, number theory, and many other areas of mathematics.

9. Matrix (mathematics) - Wikipedia

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

   Familiar properties of numbers extend to these operations on matrices: for example, addition is commutative, that is, the matrix sum does not depend on the order of the summands: A + B = B + A. [9] The transpose is compatible with addition and scalar multiplication, as expressed by (cA) T = c(A T) and (A + B) T = A T + B T.