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词汇 factorial
释义 factorial
noun[ C ]
 mathematics specializeduk /fækˈtɔː.ri.əl/ us /fækˈtɔːr.i.əl/
the product of (= the result of multiplying) a whole number and all the whole numbers below it: 阶乘,析因
The factorial of five (5 x 4 x 3 x 2 x 1) is 120. 5的阶乘(即5×4×3×2×1)是120。
Four factorial (4 x 3 x 2 x 1) is 24.4的阶乘(即4×3×2×1)是24。
The factorial of a number n is n*n-1 *n-2*... *1.
Assume that you have a simple method that calculates the factorial of a number.
This result can be written concisely in terms of factorials.
SMART Vocabulary: related words and phrases

Addition, subtraction, multiplication & division
add
add (something) up
addition sign
additive
arithmetical
deduction
half
halve
highest common factor
long division
power
quintuple
quotient
recursion
round something down
sextuple
square
subtraction sign
table
treble
factorial
adjective
uk /fækˈtɔː.ri.əl/ us /fækˈtɔːr.i.əl/

factorialadjective (IN EXPERIMENT)


relating to a factor(= a fact or situation that influences a result): 析因的
factorial designan experiment with a factorial design (= with two or more factors)析因设计的实验
The sample was composed of the full factorial combination of sex, age and education with equal numbers in each group.
We began with the full factorial model involving all possible main effects and interactions.
The 3 x 2 factorial study was designed to assess the efficacy and safety of 3 different dose levels of doxorubicin.
SMART Vocabulary: related words and phrases

Testing, checking and experimenting
artefact
as an experiment
assay
background check
blood draw
experiment station
experimental
experimentally
experimentation
experimenter
inoculate
put someone/something through their/its pacesidiom
put something to the testidiom
recheck
reinspect
reinspection
uncheckable
untestable
untested
welfare check

You can also find related words, phrases, and synonyms in the topics:


Causing things to happen

factorialadjective (MATHEMATICS)


mathematics specialized
relating to factorials: 阶乘的
The number is calculated as a multiplication 1 x 2 x 3 x 4 x 5 x 6=720, or expressed in factorial mathematics: 6!=720.这个数字计算成乘法是1 x 2 x 3 x 4 x 5 x 6 = 720,或者用阶乘数学表示为: 6!= 720.
The author appears to have assumed this number would grow at a factorial rate.
If, in the definition of t, you go from one term to the next by multiplication rather than addition, you get a factorial sequence.
SMART Vocabulary: related words and phrases

Addition, subtraction, multiplication & division
add
add (something) up
addition sign
additive
arithmetical
deduction
half
halve
highest common factor
long division
power
quintuple
quotient
recursion
round something down
sextuple
square
subtraction sign
table
treble

Examples of factorial


factorial
The initial model was fully factorial with all interactions included.
A full factorial model was used to assess important sources of variation in catches.
Factorial treatment designs can readily be incorporated into loop designs.
Chapter 8 presents a very brief discussion on models of soil formation, essentially setting the groundwork for use of the factorial approach.
Figure 3 gives stack-based code for the factorial program.
Tables showing the results of factorial experiments tend to induce headaches.
When projected on the sampling map, the first factorial values described three areas.
When two or more independent variables (treatment conditions) are manipulated at the same time, we are dealing with factorial experiments.
Where possible, a factorial design was used, as is indicated in the text.
Analyzing unreplicated factorial experiments: a review with some new proposals (with discussion).
This makes no asymptotic difference to the factorial moments, and thus the same conclusion holds.
Factorial designs would compare "manipulative," "colic," and "honest" (pain or hunger) cries.
As a justification for this, recall that trials may comprise factorial combinations of geographic locations and years.
The schematic factorial typology in (11) illustrates the interaction (jagged lines between columns indicate that all rankings are to be considered).
More generally, the main result of the basic factorial typology is maintained even now that metathesis candidates are included in the candidate set.
These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.
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