Sentence examples for the same index as from inspiring English sources

As a result, is Fredholm with the same index as Since the coefficients of and and of and have the same smoothness, respectively, we may, upon replacing by and by continue the proof under the assumption that is a submanifold of (but the are still and the still ).

The last two studies used the same index as our study, although with no specific differentiation for their relationship with the birth weight.

This algorithm chooses the vertex with lowest index as root, and all vertices in the visited vertices are assigned the same index as the root index.

Characters and positions in such sub-instances are indexed according to the same indexing as of the original string s.

From Eq. (14) it follows that the non-zero components of the couple stress μ have the same indices as the non-zero entries of the rotation gradient ∇ω: begin{array}{*{20}l} langle boldsymbol{mu}rangle_{mathrm{c}} &= langle{mu_{zx}}rangle_{mathrm{c}} boldsymbol{e}_{z} otimes boldsymbol{e}_{x} + langle{mu_{zy}}rangle_{mathrm{c}} boldsymbol{e}_{z} otimes boldsymbol{e}_{y}, end{array} (24).

Finally, the anticipated regret (AR) group will complete the same indices as the TPB group, plus two additional anticipated regret items.

This arm will complete the same indices as the TPB arm, plus two items measuring anticipated regret: "If I did not register as an organ donor in the next few months I would feel regret" (1 = definitely no, 7 = definitely yes) and "If I did not register as an organ donor in the next few months, I would later wish I had" (1 = strongly disagree, 7 = strongly agree).

Using the same index i as we used for number of months of unemployment benefits, we define the first month on Income Assistance as i=0, and continue to count down.

In the following, the transmitter node u i and the received node v i of a link e i possess the same index i as that of the link it belongs to.

Each control subject was assigned the same index date as the corresponding DME subject.

Controls were assigned the same index date as their respective case.