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wha does time constant really mean in term of system performance

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Q: What does the time constant really mean in terms of system performance?
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In a ploynomial or differential equation or really any formula or equation with variables in it, the coefficients are the terms "in front of" the variable or multiplied the variables. Each variable generally has its own coefficient. If a coefficient is constant (ie just a number) then it is a constant coefficient. eg Consider the polynomial , 3x2+9yx+6 in terms of x. It has one constant coefficient (3), one variable coefficient (9y) and one constant (6).


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