Following the Jacobi equation and the linear equation
with respect to the principal curvatures [k.sub.1] and [k.sub.2], an interesting geometric question is raised: Classify all surfaces in Euclidean 3-space and Minkowski 3-space satisfying the conditions
We checked using the Fisher test the significance of the linear correlation coefficient from the linear equation
and we obtained: [F.sub.c] = 6.905 > [F.sub.crt] = 2.63, the linear correlation coefficient is significant for a significance level of [alpha] = 0.05 and the number of degrees of freedom [v.sub.1] = 6 and [v.sub.2] = 19.
Lingk thereby derived a linear equation
that estimates the sink depth for a particular material in a particular mold according to ultrasonic measurements taken during molding.
I was able to generate a worksheet of simple linear equation
problems (such as would be suitable for a high school algebra class) without learning the full Mathematica command language.
An electronic oscillator consisting of a bipolar-transistor basic amplifier and a third-order associated RC network is approximated with a time-invariant ODE (3.4.) The stability of this linear equation
around the equilibrium operation point is discussed.
The report says: "Canadian students did poorly on solving the linear equation
, 'Find x if 10x - 15 = 5x + 20.' Only 27% found the correct solution, compared to 46% internationally." But grade-8 students in Canada don't usually do linear equations
Continuing the analysis, the investigators next employed the statistical technique of multiple regression, which uses a linear equation
to predict values for a variable.
In the linear equation
, satisfaction tended to increase as strategic decisions become more centralized.
Because (x,y) must be different from (0,0) the determinant of the coefficients of this set of homogeneous linear equation
must be zero, that is,
Linear law describes the relationship between two variables, X and Y and are related by the linear equation
Y = MX + C, where M is the gradient of the straight line and C, the Y-intercept.
the fuzzy linear equation
(5) has a strong LR complex fuzzy minimal solution as follows:
Therefore, we generate predicted segmentation of slices using volume data with linear equation
and proposed improvement method for small regions using the predicted segmentation.