Does the 'b' term affect the direction of opening of the parabola? What determines the direction of opening of a parabola?

... quadratic equation a, b, and c. The 'true' mutual information $I(X;W)$ is then taken as the y-intercept in the quadratic extrapolation found with the ... Learn how to solve quadratic equations like (x-1)(x+3)=0 and how to use factorization to solve other forms of equations. Arya A, Mittendorf B (2004) Using return policies to elicit retailer information. ... positive roots of the quadratic equation on the left-hand side of (B.23). The information-theoretic measures of the inversely quadratic Hellmann-Kratzer (IQHK) potential are reported in this paper. The Dirac equation is solved via ... 16) is equivalent to minimizing equation (B.17) if (1) σ > 0, which is guar- anteed, and (2) the intercept after the natural-rate shock is positive (i.e., (B. and equation (B.4) for i {1, 2} implies that (x − λ1)(x − λ2) 1, which ... Notice that the discriminant of this quadratic equation on λ is 9x2 − 12 ... Beauty contests and, more generally, linear-quadratic models lend themselves to the study of information acquisition in strategic environments (e.g. Dewan and ... ... B times the Shannon entropy), Boltzmann's equation results. In information theoretic terms, the information entropy of a system is the amount of "missing ... Substituting 13 for b in the equation. 3 x y b. =- + yields. 3. 13 x y =- + ... A quadratic equation in the form 2. 0 rx sx t. +. + = , where r, s, and t are ... As a result of this informational role, equation (30) confirms that ... Note that b is determined by the polynomial equation (61). We define the LHS ...