There is a quadratic inequality
including not only Minkowski first inequality (35), but also Minkowski second inequality (36).
In recent years most text books utilise either the sign chart or graphing functions in order to solve a quadratic inequality of the form a[x.sup.2] + bx + c < 0 This article demonstrates an algebraic approach to solve the above inequality.
To solve a quadratic inequality in the form of a[x.sup.2] + bx + c < 0 or in the equivalent form c[x.sup.2] + dx + e < Ax + B most of the college algebra text books use either the sign chart for the left-hand side of the first inequality or graphs both functions which appear in each side of the second inequality (e.g., Swokowski & Jeffery, 2000).
(2.1) in Lemma 2.1 with A = B = 1, we have the quadratic inequality
and [DELTA](t) satisfies the following matrix quadratic inequality:
where [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] and [[DELTA].sub.[sigma]](t) satisfies the following quadratic inequality:
Quadratic inequality constraints (QIC) on the weight vector of LCMP beamformer can improve robustness to pointing errors and to random perturbations in sensor parameter .
LCMP BEAMFORMER UNDER QUADRATIC INEQUALITY CONSTRAINT
Mathematics of the first year in high school includes: Sets, Real and Complex numbers, Discriminant, Cubic and Quartic Equations, Quadratic Inequality
, Means, Distribution and Standard Deviation, Equation of Lines, Equation of Circles, Parallel Transformation, Composite Functions, Inverse Functions, Maxima and Minima of Quadratic Functions, Rational Functions, Radians, Trigonometric Functions, Laws of Sine and Cosine, Area of Triangles.
This is a quadratic inequality
with respect to [mu], with a negative leading term coefficient.
The above quadratic inequality
can be solved for [g.sub.13] by substituting all the converter parameters for the considered set of initial conditions.
Lee, On the Hyers--Ulam--Rassias stability of a Pexiderized quadratic inequality