Factorials definitions Flashcards
Factorials definitions
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Factorial Mathematical operation multiplying a number by every whole number less than itself down to 1, denoted by an exclamation point. Exclamation Point Symbol used to represent the factorial operation in mathematics, placed after a number or variable. Recursive Definition Method where each value is defined in terms of the previous value, as seen in the calculation of factorials. Whole Number Non-negative integer used in the sequence of multiplications when calculating a factorial. 0 Factorial Special case in factorials, defined as 1, despite not following the usual multiplication pattern. Combinatorics Branch of mathematics where factorials are used to count arrangements and selections. Probability Field of mathematics that often uses factorials to calculate possible outcomes and events. Series Mathematical context where factorials help in summing sequences of numbers, especially in advanced topics. Sequence Ordered list of numbers where factorials may be used to define or analyze patterns. Expression Mathematical phrase involving numbers, variables, and operations, which can include factorials for simplification. Simplification Process of reducing mathematical expressions, often using properties of factorials to make calculations easier. Division Property Technique where dividing one factorial by another can lead to significant simplification, such as cancellation. Multiplication Property Characteristic of factorials where each value is the product of the number and the previous factorial. n Factorial General notation for the factorial of any number n, calculated as n times (n-1) factorial.
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