FACTORIAL Meaning and
Definition
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Factorial is a mathematical concept that is used to denote the product of an integer and all the positive integers less than it. It is usually represented by an exclamation mark (!) placed after the integer. For example, the factorial of 5 (denoted as 5!) is equal to the product of all positive integers from 1 to 5, which is 5 × 4 × 3 × 2 × 1, equaling 120.
Factorial is commonly used in various areas of mathematics, such as algebra, calculus, and combinatorics, as well as in computer science and statistics. It plays a significant role in the calculation of permutations and combinations, probability distributions, and solving equations involving discrete quantities.
Factorial has several properties that make it useful in various calculations. One such property is that the factorial of zero (!0) is defined as 1, providing the mathematical foundation for many calculations involving combinations and permutations. Additionally, factorials grow rapidly as the input number increases, and their values can become quite large, so they are often calculated using specialized algorithms or lookup tables.
Overall, the factorial is a fundamental mathematical concept that represents the product of an integer and all positive integers less than it. Its applications extend beyond pure mathematics into fields such as computer science, statistics, and combinatorics, making it an essential tool in solving various calculations and problems.
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Etymological and pronouncing dictionary of the English language. By Stormonth, James, Phelp, P. H. Published 1874.
Top Common Misspellings for FACTORIAL *
* The statistics data for these misspellings percentages are collected from over 15,411,110 spell check sessions on www.spellchecker.net from Jan 2010 - Jun 2012.
Other Common Misspellings for FACTORIAL
Etymology of FACTORIAL
The word "factorial" originated from the Latin term "factorial" which means "doer" or "maker". It is derived from the Latin word "factor" which means "maker" or "doer". The use of "factorial" in mathematics is believed to have started in the early 18th century.
Similar spelling words for FACTORIAL
- factor iii,
- victorial,
- factor xiii,
- factorize,
- factor xi,
- factorise,
- factor v,
- factor i,
- factor ii,
- Factrel,
- vectorial,
- factory farm,
- factor viii,
- factor xii,
- factorially,
- factor in,
- q-factorial,
- factor iv,
- factor vii,
- factor x,
- vectorially,
- factoring,
- FCTRL,
- victrolla,
- victrola,
- factory-made,
- faster,
- factory,
- factor ix,
- factor,
- factor out,
- multi-factorial.
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