Definition of factorial in English:

factorial

noun fakˈtɔːrɪəlfækˈtɔriəl

Mathematics

1The product of an integer and all the integers below it; e.g. factorial four (4!) is equal to 24.
Example sentencesExamples
- They learned of each other's discoveries because each of them communicated his work to James Stirling, whose approximation for the factorial is a special case of the Euler-Maclaurin summation.
- Stirling wrote to De Moivre pointing out some errors that he had made in a table of logarithms of factorials in the book.
- Now Stirling's formula is a classical approximation for the factorial function, and factorials are one way to evaluate binomial coefficients.
- The experiment was a completely randomized design, with eight treatment combinations, forming a 4 x 2 factorial (four clones and two watering regimes) with five plants in individual pots per treatment combination as replication.
- The gamma function is undefined for zero and negative integers, from which we can conclude that factorials of negative integers do not exist.
1. 1.1 The product of a series of factors in an arithmetical progression.
  Example sentencesExamples
  ‘A factorial is the product of consecutive numbers from 1 to that particular digit and is represented by placing a‘!’
  In the proof below, we use the fact that e is the sum of the series of inverted factorials.

adjective fakˈtɔːrɪəlfækˈtɔriəl

Mathematics

Relating to a factor or factorial.
a factorial design
Example sentencesExamples
- Around 1926, a British statistician, Ronald Fisher, while working in the field of agriculture, developed a new form of experimentation called two-level factorial design.
- Experimental designs involving factorial combination of multiple independent variables call for some inventiveness when it comes to graphical presentation of data.
- Our trial was of factorial design in order to compare three types of treatment within a single trial, in order to derive the maximum amount of data from the minimum number of patients.
- One possible approach to make this search more systematic is the use of factorial design, which involves a set of experiments intended to identify important effects and interactions.
- A 2 x 4 x 12 factorial design was used to assess the effects of light, temperature and month, respectively, on the germination of Spergularia marina seeds.

Derivatives

factorially

adverb

Three stimulus frequencies were combined factorially with two input channels (left and right ears) and three measurement procedures.
Example sentencesExamples
- The shortened 18-item scale is both more reliable and more factorially pure than the original 25-item measure with which it correlates at a.93 level.
- These two two-level treatments were combined factorially, leading to the following four combinations.
- The investigation of factorially simple tasks, which are not especially cognitively demanding, has prompted hopes of arriving at a definition of intelligence that is both precise and explanatory.
- The BES is a factorially derived measure of male and female body esteem.

Definition of factorial in US English:

factorial

nounfækˈtɔriəlfakˈtôrēəl

Mathematics

1The product of an integer and all the integers below it; e.g. factorial four (4!) is equal to 24.
Example sentencesExamples
- The experiment was a completely randomized design, with eight treatment combinations, forming a 4 x 2 factorial (four clones and two watering regimes) with five plants in individual pots per treatment combination as replication.
- They learned of each other's discoveries because each of them communicated his work to James Stirling, whose approximation for the factorial is a special case of the Euler-Maclaurin summation.
- Stirling wrote to De Moivre pointing out some errors that he had made in a table of logarithms of factorials in the book.
- The gamma function is undefined for zero and negative integers, from which we can conclude that factorials of negative integers do not exist.
- Now Stirling's formula is a classical approximation for the factorial function, and factorials are one way to evaluate binomial coefficients.
1. 1.1 The product of a series of factors in an arithmetic progression.
  Example sentencesExamples
  ‘A factorial is the product of consecutive numbers from 1 to that particular digit and is represented by placing a‘!’
  In the proof below, we use the fact that e is the sum of the series of inverted factorials.

adjectivefækˈtɔriəlfakˈtôrēəl

Mathematics

Relating to a factor or factorial.
a factorial design
Example sentencesExamples
- A 2 x 4 x 12 factorial design was used to assess the effects of light, temperature and month, respectively, on the germination of Spergularia marina seeds.
- Experimental designs involving factorial combination of multiple independent variables call for some inventiveness when it comes to graphical presentation of data.
- Our trial was of factorial design in order to compare three types of treatment within a single trial, in order to derive the maximum amount of data from the minimum number of patients.
- One possible approach to make this search more systematic is the use of factorial design, which involves a set of experiments intended to identify important effects and interactions.
- Around 1926, a British statistician, Ronald Fisher, while working in the field of agriculture, developed a new form of experimentation called two-level factorial design.

单词	factorial
释义	Definition of factorial in English: factorial noun fakˈtɔːrɪəlfækˈtɔriəl Mathematics 1The product of an integer and all the integers below it; e.g. factorial four (4!) is equal to 24. Example sentencesExamples They learned of each other's discoveries because each of them communicated his work to James Stirling, whose approximation for the factorial is a special case of the Euler-Maclaurin summation. Stirling wrote to De Moivre pointing out some errors that he had made in a table of logarithms of factorials in the book. Now Stirling's formula is a classical approximation for the factorial function, and factorials are one way to evaluate binomial coefficients. The experiment was a completely randomized design, with eight treatment combinations, forming a 4 x 2 factorial (four clones and two watering regimes) with five plants in individual pots per treatment combination as replication. The gamma function is undefined for zero and negative integers, from which we can conclude that factorials of negative integers do not exist. 1.1 The product of a series of factors in an arithmetical progression. Example sentencesExamples ‘A factorial is the product of consecutive numbers from 1 to that particular digit and is represented by placing a‘!’ In the proof below, we use the fact that e is the sum of the series of inverted factorials. adjective fakˈtɔːrɪəlfækˈtɔriəl Mathematics Relating to a factor or factorial. a factorial design Example sentencesExamples Around 1926, a British statistician, Ronald Fisher, while working in the field of agriculture, developed a new form of experimentation called two-level factorial design. Experimental designs involving factorial combination of multiple independent variables call for some inventiveness when it comes to graphical presentation of data. Our trial was of factorial design in order to compare three types of treatment within a single trial, in order to derive the maximum amount of data from the minimum number of patients. One possible approach to make this search more systematic is the use of factorial design, which involves a set of experiments intended to identify important effects and interactions. A 2 x 4 x 12 factorial design was used to assess the effects of light, temperature and month, respectively, on the germination of Spergularia marina seeds. Derivatives factorially adverb Three stimulus frequencies were combined factorially with two input channels (left and right ears) and three measurement procedures. Example sentencesExamples The shortened 18-item scale is both more reliable and more factorially pure than the original 25-item measure with which it correlates at a.93 level. These two two-level treatments were combined factorially, leading to the following four combinations. The investigation of factorially simple tasks, which are not especially cognitively demanding, has prompted hopes of arriving at a definition of intelligence that is both precise and explanatory. The BES is a factorially derived measure of male and female body esteem. Definition of factorial in US English: factorial nounfækˈtɔriəlfakˈtôrēəl Mathematics 1The product of an integer and all the integers below it; e.g. factorial four (4!) is equal to 24. Example sentencesExamples The experiment was a completely randomized design, with eight treatment combinations, forming a 4 x 2 factorial (four clones and two watering regimes) with five plants in individual pots per treatment combination as replication. They learned of each other's discoveries because each of them communicated his work to James Stirling, whose approximation for the factorial is a special case of the Euler-Maclaurin summation. Stirling wrote to De Moivre pointing out some errors that he had made in a table of logarithms of factorials in the book. The gamma function is undefined for zero and negative integers, from which we can conclude that factorials of negative integers do not exist. Now Stirling's formula is a classical approximation for the factorial function, and factorials are one way to evaluate binomial coefficients. 1.1 The product of a series of factors in an arithmetic progression. Example sentencesExamples ‘A factorial is the product of consecutive numbers from 1 to that particular digit and is represented by placing a‘!’ In the proof below, we use the fact that e is the sum of the series of inverted factorials. adjectivefækˈtɔriəlfakˈtôrēəl Mathematics Relating to a factor or factorial. a factorial design Example sentencesExamples A 2 x 4 x 12 factorial design was used to assess the effects of light, temperature and month, respectively, on the germination of Spergularia marina seeds. Experimental designs involving factorial combination of multiple independent variables call for some inventiveness when it comes to graphical presentation of data. Our trial was of factorial design in order to compare three types of treatment within a single trial, in order to derive the maximum amount of data from the minimum number of patients. One possible approach to make this search more systematic is the use of factorial design, which involves a set of experiments intended to identify important effects and interactions. Around 1926, a British statistician, Ronald Fisher, while working in the field of agriculture, developed a new form of experimentation called two-level factorial design.
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