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combinant
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There are 9 letters in COMBINANT ( A1B3C3I1M3N1O1T1 )
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Definitions of combinant in various dictionaries:
COMBINANT - In the mathematical theory of probability, the combinants cn of a random variable X are defined via the combinant-generating function G(t), which is ...
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| In mathematics, a function of the quantities appearing in a given set of functions which remains unaltered as well for linear substitutions impressed upon the variables as for linear combinations of the functions themselves (Sylvester, 1853) a covariant which remains unaltered when each quantic is replaced by a linear function of all the quantics (Cayley, 1856). |
| Combinant might refer to |
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In the mathematical theory of probability, the combinants cn of a random variable X are defined via the combinant-generating function G(t), which is defined from the moment generating function M(z) as* * * * * G * * X * * * ( * t * ) * = * * M * * X * * * ( * log * * ( * 1 * + * t * ) * ) * * * {\displaystyle G_{X}(t)=M_{X}(\log(1+t))} * which can be expressed directly in terms of a random variable X as * * * * * * G * * X * * * ( * t * ) * := * E * * [ * * ( * 1 * + * t * * ) * * X * * * * ] * * , * * t * * * |