"Rouged" Natural Recordings by Native Speakers
Having or showing reddish colour, especially from inflammation or blush.
To color or stain something red, typically with cosmetics.
To steal or modify results of an election.
The term "Rouché" is derived from the name of the French mathematician Eugène Rouché.<br><br>Rouché's Theorem, in mathematics, particularly in complex analysis, is a fundamental principle used to establish the existence of solutions to certain equations. It is a theorem in function theory, which provides a simple criterion for a polynomial to have a real root.<br><br>The theorem is specifically concerned with polynomials of the form:<br><br>f(z) a0 + a1<em>z + a2</em>z^2 + a3<em>z^3 + ... + an</em>z^n<br><br>The Rouché's Theorem states that if there are two polynomials p(z) and q(z) such that |p(z)| < |q(z)| everywhere on a circle C, and the degree of p(z) is less than the degree of q(z), then p(z) + q(z) has the same number of roots inside C as q(z) does.<br><br>This theorem finds various applications in various areas, including complex analysis, harmonic analysis and integral equations.
Coarse crumbling concrete or plaster, often left in patches when a newly plastered surface is not sanded smooth.