How Do You Spell COEFFICIENT SOLUTION?

1. A coefficient solution refers to a numerical value or set of values that satisfy an equation or system of equations involving variables with coefficients. It is the solution that provides the specific values for the variables that make the equation(s) true.

   In mathematics, equations often contain variables, which are represented by letters that can take on various values. These variables are multiplied by coefficients, which are numerical constants that determine the scale or magnitude of their respective terms in the equation. The combination of the variables, their coefficients, and the equation itself forms a mathematical relationship that needs to be satisfied to find a solution.

   A coefficient solution involves finding the specific values of the variables that make the equation(s) true. It is obtained by solving the equation(s) through various mathematical methods such as substitution, elimination, or matrix operations. The solution may comprise a single value or a set of values, depending on the number of variables and the complexity of the equation system.

   Coefficient solutions are fundamental in various branches of mathematics, including algebra, calculus, linear algebra, and differential equations. They allow mathematicians and scientists to determine specific values or combinations of variables that satisfy mathematical models and equations, aiding in problem-solving, optimization, and understanding the behavior of different systems in mathematical contexts.

2. A figure expressing the disinfecting power of any substance; it is obtained by dividing the figure representing the percentage strength of the weakest killing dilution of phenol by that representing the percentage strength of the weakest killing dilution of the disinfectant, both at 2 1/2 and at 30 minutes.

   A practical medical dictionary. By Stedman, Thomas Lathrop. Published 1920.

Common Misspellings for COEFFICIENT SOLUTION

The word "coefficient" can be traced back to the Latin word "coefficientem", which means "acting together", derived from the verb "coefficient" which means "to perform or bring about together". The term "coefficient" is used in mathematics to represent a constant number that multiplies a variable, forming part of a mathematical expression or equation.

The term "solution" also has Latin origins, coming from the word "solūtiō", meaning "a loosening or unbinding". In mathematics, a solution refers to the values or objects that satisfy an equation or system of equations.

The phrase "coefficient solution" is a combination of these two terms, referring to the values or objects that satisfy a mathematical equation where a numerical coefficient is involved. It emphasizes the importance of considering the coefficient in finding a solution to the equation.