1) In a mathematical equation, a coefficient is a constant by which a variable is multiplied. Consider the following equations: 3 x 2 + 5 x - 3 = 0. ax 3 + by 2 = z. The values 3 and 5 in the first equation are coefficients of x , a variable. In the second equation, if a and b are constants, then a is a coefficient of x 3 , and b is a coefficient of y 2 .
Allegiance definition, the loyalty of a citizen to his or her government or of a subject to his or her sovereign. See more.
The wording which Bellamy used in the writing of his pledge was intended to weld together the mentality of all Americans in their allegiance to a centralized federal government. The word allegiance was taken from Lincoln's Oath of Allegiance for rebellious Southerners.