CONSISTENCY IN LINEAR EQUATIONS
In mathematics and in particular, in algebra, a linear or nonlinear system of equations is called as consistent if there is at least one set of values for the unknowns that satisfy each equation in the system—that is, that when substituted into each of the equations makes each equation hold true as an identity.
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VECTOR CALCULUS
Vector calculus, or vector analysis, is concerned with differentiation and integration of vector fields, primarily in 3-dimensional Euclidean space ℝ³. The term "vector calculus" is sometimes used as a synonym for the broader subject of multivariable calculus, which includes vector calculus as well as partial differentiation and multiple integration. Vector calculus plays an important role in differential geometry and in the study of partial differential equations.
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