Sentence examples for x star from inspiring English sources

So we're going to call this the sigma 2 p x star, or if we're talking about the 2 p y orbitals we'll call this the pi 2 p x star, and the pi 2 p y star.

You can see that we have two unpaired electrons in this molecule here -- one in the pi 2 p x star, and one in the pi 2 p y star orbital.

The "Brand X" star also opened up about his rumored relationship with fellow divorcee, Demi Moore.

So as soon as X (Star Buddy) came round I was like, just let rip.

Literature [14] gives an X-STAR algorithm.

This implies that bigl| C^{k}(X) - X^{star} bigr| leqbigl| X - X^{star}bigr|.

end{aligned} Letting (ntoinfty), we obtain sigmabigl(x^{star},y^{star}bigr)leq ssigma bigl(x^{star},x^{star}bigr)+s^{2}sigma (X,X +s^{2}sigmabigl y^{star},y^{star}bigr)=s^{2}sigma X,X).

Throughout this paper, the notation (X^{star}) denotes the dual space of a Banach space X.

Assuming that the queue has a steady-state solution at (x,α)=(x ⋆,α ⋆), the following fixed-point identity should hold: kappa(x^{star},alpha^{star}) left{ begin{array}{ll} =r(x^{star},alpha^{star}), &{x^{star} > 0}

Our objective is to find a point in the generalized convex feasible set defined by C_{f} := Bigl{ x^{star}in C_{0} colon f bigl( x^{star}bigr) = min_{xin C_{0}} f (x ) Bigr}.

Then the sequence ({ x_{n} }) generated by (GNA) is well defined, remains in (overline{U}(x _{0}, r _{alpha}^{star})) for all (n geq0) and converges to some (x^{star}) such that (F(x^{star}) in mathcal {C}).