Sentence examples for dim end from inspiring English sources

As we have mentioned, we have dim R = 2 dim End ( R ).

Finally, dim Hom ( R [ s ], R [ t ] ) = min ( s, t ) dim End ( R ).

It follows that dim Hom ( R [ s ], Q j ) = 1 2 dim R [ s ] = s dim End ( R ).

Given any indecomposable regular module R, its endomorphism ring End ( R ) is a commutative ring (namely a ring of the form k [ T ] / 〈 f 〉, where k [ T ] is the polynomial ring in one variable T with coefficients in k and f is a power of an irreducible polynomial) and dim R = 2 dim End ( R ).

Note that Γ ( C ) is a local ring, thus there is a unique simple Γ ( C ) -module S. Since S has k -dimension dim End ( R ), the calculations above show that r = s in case Y = Q j and r = min ( s, t ) in case Y = R [ t ].

However, profilin addition enabled accelerated growth of dim filament ends (as in the absence of Arp2/3 complex), frequently originating in bright filament branch points.

But when the light stayed dim at the end of that last hour, I was faced with the gap between my notions of what I assumed for so long would be a thriving practice and the reality of a near-empty one.

The hospital had no proper power supply, and the lights would dim at the end of the day.

The growing serenity of the music is captured in gentle rocking for the dancers and in a slow, soft bowing as the lights dim at the end.

On way out told us to be careful of steps at end dim corridor as visiting Bishops always fell there, sometimes sliding as well.

It was 9 10 p.m. in London when he walked to the baseline, and the light was so dim at the end of this intermittently rainy day that both players were concerned.