inconsistent system of equations
1system of equations — or simultaneous equations In algebra, two or more equations to be solved together (i.e., the solution must satisfy all the equations in the system). For a system to have a unique solution, the number of equations must equal the number of unknowns …
2System of linear equations — In mathematics, a system of linear equations (or linear system) is a collection of linear equations involving the same set of variables. For example,:egin{alignat}{7}3x ; + ; 2y ; ; z ; = ; 1 2x ; ; 2y ; + ; 4z ; = ; 2 x ; + ; frac{1}{2} y ; ; z …
3Overdetermined system — For the philosophical term, see overdetermination. In mathematics, a system of linear equations is considered overdetermined if there are more equations than unknowns.[1] The terminology can be described in terms of the concept of counting… …
4Indeterminate system — An indeterminate system is a system of simultaneous equations (especially linear equations) which has infinitely many solutions or no solutions at all.ituationsAny system which has fewer unique equations than variables is indeterminate. Unique… …
5Einstein field equations — General relativity Introduction Mathematical formulation Resources Fundamental concepts …
6Mathematics and Physical Sciences — ▪ 2003 Introduction Mathematics Mathematics in 2002 was marked by two discoveries in number theory. The first may have practical implications; the second satisfied a 150 year old curiosity. Computer scientist Manindra Agrawal of the… …
7Okishio's theorem — is a mathematical theorem formulated by Japanese economist Nobuo Okishio. It has had a major impact on debates about Marx s theory of value. Intuitively, it can be understood as saying that if one capitalist raises his profits by introducing a… …
8Linear regression — Example of simple linear regression, which has one independent variable In statistics, linear regression is an approach to modeling the relationship between a scalar variable y and one or more explanatory variables denoted X. The case of one… …
9Rank (linear algebra) — The column rank of a matrix A is the maximum number of linearly independent column vectors of A. The row rank of a matrix A is the maximum number of linearly independent row vectors of A. Equivalently, the column rank of A is the dimension of the …
10Ambiguity — Sir John Tenniel s illustration of the Caterpillar for Lewis Carroll s Alice s Adventures in Wonderland is noted for its ambiguous central figure, whose head can be viewed as being a human male s face with a pointed nose and pointy chin or being… …
