Sentence examples for be an arbitrary component from inspiring English sources

Lower bounds: Let (x_{p}>0) be an arbitrary component of x, (x_{q}=min{ x_{k}, 1leq k leq n}).

Upper bounds: Let (x_{p}>0) be an arbitrary component of x, (x_{q}=max{ x_{k}, 1leq k leq n}).

Let be an arbitrary element.

Let be an arbitrary function.

(xiv) Let be an arbitrary.

Let be an arbitrary graph.

From this, an analytical solution to the random defect Monte Carlo problem in form of a distribution function characterizing the fatigue limit of an arbitrary component is derived.

C is an arbitrary proposition or factor.

In the LDG method, stabilization parameter C11 and auxiliary parameter C12 are defined on each face e as follows: C_{ 1 1} = left( {frac{ 1}{h}} right)^{alpha },;;;{user2{C}}_{ 1 2} cdot {user2{n}} = {text{sign}}left( {{user2{v}} cdot {user2{n}}} right)/2, (20 where v is an arbitrary but fixed vector with nonzero components.

It's an arbitrary number.

1980 is an arbitrary date.