Sentence examples for for algebraic operations from inspiring English sources

The exponents stand for algebraic operations.

Matrices, if the dimensions are not explicitly stated, are assumed to be compatible for algebraic operations.

Matrices, if their dimensions are not explicitly stated, are assumed to have appropriate dimensions for algebraic operations.

In addition, matrices whose dimensions are not explicitly stated are assumed to be compatible for algebraic operations.

For any subsets X and Y of E, we have the following notations: X̅ denotes the closure of X; (operatorname{conv}(X)) denotes the convex hull of X; (P X)) denotes the set of nonempty subsets of X; (X+Y) and λX ((lambdainmathbb{R})) stand for algebraic operations on sets X and Y.

X̅ denotes the closure of X; (operatorname{conv}(X)) denotes the convex hull of X; (P X)) denotes the set of nonempty subsets of X; (X+Y) and λX ((lambdainmathbb{R})) stand for algebraic operations on sets X and Y. Banaś and Goebel [1] introduced the following axiomatic definition of the concept of a measure of noncompactness.

Matrices, if their dimensions are not explicitly stated, are assumed to be compatible for algebraic operation.

The package consists of three main parts, the kinetic data structure framework support code, an algebraic kernel which implements the set of algebraic operations required for kinetic data structure processing, and kinetic data structures for Delaunay triangulations in one and two dimensions, and Delaunay and regular triangulations in three dimensions.

Remind your son to "Please Excuse My Dear Aunt Sally" -- an easy way to remember the order of algebraic operations: 1. Parenthesis, 2. Exponents, 3. Multiplication, 4. Division, 5. Addition, 6. Subtraction.

Matrices, if their dimensions are not explicitly stated, are assumed to be compatible for related algebraic operations.

If the dimensions of matrices are not explicitly indicated, that means they are suitable for any algebraic operations.