Examples of 'characteristic equation' in a sentence
Meaning of "characteristic equation"
characteristic equation ~ in mathematics and engineering, the characteristic equation is a mathematical equation that describes the eigenvalues, or characteristic roots, of a system or function. It is widely used in fields such as control systems, signal processing, and structural analysis
How to use "characteristic equation" in a sentence
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characteristic equation
The first root of the characteristic equation.
The characteristic equation of the system now becomes.
So they have the same characteristic equation.
The characteristic equation has.
And this is called the characteristic equation.
Then we find a characteristic equation whose zeroes correspond to eigenvalues.
So let us write down the characteristic equation.
The characteristic equation describing.
Complex and repeated roots of characteristic equation.
Will have a characteristic equation of the form.
Which equation is called the characteristic equation.
The characteristic equation for a homogeneous system and characteristic numbers.
Where n is the order of the characteristic equation.
Whose characteristic equation is.
This condition is called the characteristic equation.
See also
The roots of the characteristic equation are referred to as the poles of the system.
If all the roots of the characteristic equation.
The characteristic equation is the equation obtained by equating to zero the characteristic polynomial.
You know the characteristic equation.
Listed according to multiplicity as roots of the characteristic equation.
If the roots of the characteristic equation are real and no.
The eigenvalues are the solutions of the characteristic equation.
Take the characteristic equation.
Note the information contained in the system characteristic equation.
This equation is called the characteristic equation of the recurrence relation.
Thermodynamics imposes restrictions on the possible equations of state and on the characteristic equation.
But this is our characteristic equation.
The characteristic equation for this recurrence relation is,.
Then the associated characteristic equation is.
If the characteristic equation has complex roots, they must occur in.
Satisfies its own characteristic equation.
So our characteristic equation is r squared plus r plus 1 is equal to 0.
Any square matrix satisfies its own characteristic equation.
The roots of the system characteristic equation all have negative real parts.
The closed loop poles are the roots of the characteristic equation.
You just take the characteristic equation r squared minus 3r minus 4.
Let us do a couple of problems where the roots of the characteristic equation are complex.
You do that by getting the characteristic equation r squared minus 3r minus 4 is equal to 0.
And watch the previous video just to see why this characteristic equation works.
If the characteristic equation has two different real solutions, and, then.
All the coefficients of the characteristic equation should be non zero.
A linear stochastic process has a unit root if 1 is a root of the process 's characteristic equation.
Write down the characteristic equation.
Frobenius also proved the general result that a matrix satisfies it 's characteristic equation.
This equation is knows as the characteristic equation of the differential equation.
Informally speaking, every matrix satisfies its own characteristic equation.
We call this other part the characteristic equation for the recurrence relation.
The polynomial being set to 0 is deemed the characteristic equation.
In two dimensions, the characteristic equation is often given by the slope-intercept form,.
And watch the previous video if you do not know where this characteristic equation comes from.
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