characteristic equation

characteristic equation

 
noun
1.
Mathematics.
a.
the characteristic polynomial of a given matrix, equated to zero.
b.
Also called auxiliary equation. an equation with one variable and equated to zero, which is derived from a given linear differential equation and in which the coefficient and power of the variable in each term correspond to the coefficient and order of a derivative in the original equation.
2.
Physics. equation of state.
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Origin:
1920–25
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2012.
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Characteristic equation is always a great word to know.
So is coefficient. Does it mean:
the assumed limit of a sequence or series that increases without bound; infinite distance
a number or quantity placed before and multiplying another quantity, such as 3 in the expression 3x
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