Subtracting the constant term from both sides of the equation ( to move it to the right hand side ) and then dividing by gives:
42.
Technically it can also be classified as an autoregressive integrated moving average ( ARIMA ) ( 0, 1, 1 ) model with no constant term.
43.
All that is left is the constant term ", and the negative sign of this result reflects the fact that the Casimir force is attractive.
44.
Note that in some formulations the regression includes a constant term, so the matrix \ mathbf { z } would have an additional column of ones.
45.
Where \ alpha is the estimated value of the constant term a and \ beta is the estimated value of the slope coefficient " b ".
46.
Given a commutative vertex algebra, the constant terms of multiplication endow the vector space with a commutative ring structure, and " T " is a derivation.
47.
The constant is the initial velocity term that would be lost upon taking the derivative of velocity because the derivative of a constant term is zero.
48.
Integrating then shows that " f " is affine and then, by referring back to the original inequality, we have that the constant term is zero.
49.
Where the second derivative is with respect to and the constant is defined so that the Laurent expansion of at 0 } } has zero constant term.
50.
The image of C _ r should start out as a small circle centered on the constant term of the polynomial, and therefore not wind around the origin.
