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  2. Order of operations - Wikipedia

    en.wikipedia.org/wiki/Order_of_operations

    For example, multiplication is granted a higher precedence than addition, and it has been this way since the introduction of modern algebraic notation. [ 2 ] [ 3 ] Thus, in the expression 1 + 2 × 3 , the multiplication is performed before addition, and the expression has the value 1 + (2 × 3) = 7 , and not (1 + 2) × 3 = 9 .

  3. Successor function - Wikipedia

    en.wikipedia.org/wiki/Successor_function

    The successor function is part of the formal language used to state the Peano axioms, which formalise the structure of the natural numbers.In this formalisation, the successor function is a primitive operation on the natural numbers, in terms of which the standard natural numbers and addition are defined. [1]

  4. Python syntax and semantics - Wikipedia

    en.wikipedia.org/wiki/Python_syntax_and_semantics

    In addition, Python also has 3 soft keywords. Unlike regular hard keywords, soft keywords are reserved words only in the limited contexts where interpreting them as keywords would make syntactic sense. These words can be used as identifiers elsewhere, in other words, match and case are valid names for functions and variables. [6] [7] _ [note 4]

  5. Commutative property - Wikipedia

    en.wikipedia.org/wiki/Commutative_property

    Graph showing the symmetry of the addition function = + Some forms of symmetry can be directly linked to commutativity. When a commutative operation is written as a binary function z = f ( x , y ) , {\displaystyle z=f(x,y),} then this function is called a symmetric function , and its graph in three-dimensional space is symmetric across the ...

  6. Kahan summation algorithm - Wikipedia

    en.wikipedia.org/wiki/Kahan_summation_algorithm

    Starting with Python 3.12, the built-in "sum()" function uses the Neumaier summation. [ 25 ] In the Julia language, the default implementation of the sum function does pairwise summation for high accuracy with good performance, [ 26 ] but an external library provides an implementation of Neumaier's variant named sum_kbn for the cases when ...

  7. Pythagorean addition - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_addition

    In mathematics, Pythagorean addition is a binary operation on the real numbers that computes the length of the hypotenuse of a right triangle, given its two sides.According to the Pythagorean theorem, for a triangle with sides and , this length can be calculated as = +, where denotes the Pythagorean addition operation.

  8. File:Example for addition of functions.svg - Wikipedia

    en.wikipedia.org/wiki/File:Example_for_addition...

    English: Addition of the function : ... Python code. import matplotlib ... Add a one-line explanation of what this file represents.

  9. Hyperoperation - Wikipedia

    en.wikipedia.org/wiki/Hyperoperation

    In mathematics, the hyperoperation sequence [nb 1] is an infinite sequence of arithmetic operations (called hyperoperations in this context) [1] [11] [13] that starts with a unary operation (the successor function with n = 0). The sequence continues with the binary operations of addition (n = 1), multiplication (n = 2), and exponentiation (n = 3).