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.
Advertisement. 1  Pledge of Allegiance to the United States flag, is a promise or oath of loyalty to the Republic of United States of America. The Pledge was originally written in August, 1892 by an American Baptist minister and social activist, Francis Bellamy.