Sentence examples for repeat indices from inspiring English sources

In addition, the original cat in vivo recording is distinguished from shuffled surrogates in the rankings of repeat indices found in those recordings (p<0.01).

We demonstrate that the repeats found at −90 mV have a significantly greater distribution of repeat indices than those at −60 mV (p<0.001), and we show that this recording also has a greater distribution than its shuffled surrogates (p<0.001) (Fig. 10).

Note that we use the standard summation convention throughout this paper that repeated indices indicate summation from 1 to n unless otherwise specified.

The repeated index indicates Einstein's summation convention over the indices.

Note that indicial notation will be used throughout where repeated indices are assumed to be summed over the number of dimensions, and commas indicate partial derivatives (or more generally covariant derivatives).

From their faces I knew my students were lost since there were too many repeated indices.

But one of the repeated indices of God's power, as invoked in many of the Psalms, is his ability to control the waves — after all, the Psalmist knew that a great flood had consumed the world, at God's command, and that the Red Sea had been divinely parted.

In the following discussion sections, I made all the repeated indices the same color, as shown in Figure 2. The students were amazed since now it was really clear which indices got contracted and canceled (like the indices j and m in the second from the last line), and what were left over and became a vector quantity (like the index i in the same line).

Note that repeated indices are summed.

Indices can take the values 1, 2 and 3. Summation convention is valid for repeated indices.

end{aligned} The summation convention over repeated indices is used in the sequel.