Sentence examples for a thin set from inspiring English sources
By showing that the graph of ⩽ is a set of uniqueness in 2∞ × 2∞ we obtain a "thin set" proof that Alg(2∞, ⩽, m12) contains no nonzero compact operators.
Mr. Frechter, now a monk who answers to the name Kigen, has by that time already donned a kimono and a thin set of robes and headed to a hall in the predawn darkness to lead fellow monks and visitors in zazen, or sitting meditation.
Note, however, that if the probability (Phi _{g,mathbb {P}}(B)) is small which is, e.g., the case if B is a "thin" set or has large distance from the center of the distribution (Phi _{g,mathbb {P}}) then relatively large sample sizes are needed for good approximations via simulation.
If you find it difficult to re-install the pads, use a thin set of tweezers to put the pads back in.
This paper aims to show that the sharpness of the characterization of an a-minimally thin set in Theorem C.
Instead of tearing out your concrete walkway, you may want to use paving bricks that are about 1 1/2-inch thick and can be applied onto your walkway with a thin-set mortar.
A typical ceramic tile installation involves spreading a thin-set mortar on the surface with a notched trowel, then pressing the ceramic tile into the mortar to collapse the ridges and improve contact between the tile and mortar.
In [5], Long-Gao-Deng introduce the notations of a-thin (with respect to the Schrödinger operator Sch a ) at a point, a-polar set (with respect to the Schrödinger operator Sch a ) and a-minimal thin sets at infinity (with respect to the Schrödinger operator Sch a ), which generalized earlier notations obtained by Brelot and Miyamoto (see [7, 8]).
In [[8], p.67], Zhao introduce the notations of a-thin (with respect to the Schrödinger operator S c h a ) at a point, a-polar set (with respect to the Schrödinger operator S c h a ) and a-minimal thin sets at infinity (with respect to the Schrödinger operator S c h a ).
The aim of this paper is to give a new criterion for a-minimally thin sets at infinity with respect to the Schrödinger operator in a cone, which supplement the results obtained by T. Zhao.
In this paper, we shall obtain a series of new criteria for a-minimally thin sets at infinity on C n , which complemented Theorem A by the way completely different from theirs.
