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What does the equation {eq}(x - h)^2 + (y - k)^2 + (z - j)^2 = r^2 {/eq} represent? What do {eq}h, k, j {/eq}, and {eq}r {/eq} represent? Equation of the sphere: In two-dimensional, the general equation of the ...
PCA is a dimension reduction technique likelinear discriminant analysis(LDA). In contrast to LDA, PCA is not limited tosupervised learningtasks. Forunsupervised learningtasks, this means PCA can reduce dimensions without having to consider class labels or categories. PCA is also closely related to f...
While the ball does indeed bounce an infinite number of times, with the bounces getting smaller and smaller in height, that doesn’t mean it keeps bouncing forever. The bounces get smaller and smaller not only in height, but also in duration, and the sum of their durations converges to a...
(which is also essentially the logarithm of the discriminant of the polynomial) since we have In particular, we have the monotonicity formula where is the “energy” where in the last line we use the antisymmetrisation identity Among other things, this shows that as one goes backwards ...
How to show that a \pi-system that is also a d-system is a \sigma-algebra? For what real value(s) of parameter \alpha does the given system have a neutrally stable critical point at (0, 0)? x' = ( - alpha 2 4 alpha ^2 ) x How to find...
is nonsingular if and only if the discriminant is non-zero. (When this occurs, the curve is called an elliptic curve (in Weierstrass form), which is a fundamentally important example of a Riemann surface in many areas of mathematics, and number theory in particular. One can also define the...
Data-driven innovations (DDI) have significantly impacted firms’ operations thanks to the massive exploitation of huge data. However, to leverage big
Further, discriminant validity was checked to ensure that the measured constructs were independent of each other. Based on the criterion suggested by Fornell and Larcker (1981), the correlation coefficients between constructs should not be greater than the square root of the AVE for each construct....
To establish the theorem in full generality requires a certain amount of algebraic number theory machinery, such as the theory of valuations on number fields, or of relative discriminants between such number fields. However, the basic ideas can be presented without much of this machinery by ...