Sentence examples for indicate the representation from inspiring English sources

Let E p = Y − ∑ j ≠ p P d ~ j x ~ R j indicate the representation error of samples after removing the p th atom, and let x ~ R p denote the p th row in X ~. ∥ Y − D ~ X ~ ∥ = ∥ Y − ∑ j = 1 P d ~ j x ~ R j ∥ F 2 = ∥ Y − ∑ j ≠ k P d ~ j x ~ R j − d ~ p x ~ R p ∥ F 2 = ∥ E p − d ~ p x ~ R p ∥ F 2 (13).

Results indicate that the representation of gender in images from anatomy textbooks remain predominantly male except within sex-specific sections.

These findings indicate that the representation of a word like "or" cannot be isolated from the linguistic and conceptual environment in which it appears.

Perhaps Kant is suggesting here that the Newtonian and Leibnizian views of space and time, despite their evident differences along various dimensions, each indicate that the representation of space cannot be a non-empirical, singular, immediate representation, or perhaps they tacitly suppose that it cannot be such a representation.

For example, the norms indicate that the representation of mild might be very different in the context of CURRY than in the context of WINTER, whereas the representation of grey might not differ so much between ELEPHANT and PEBBLE.

A string indicating the music21 representation of this accidental.

Factors affecting adsorption of Cd2+ on alginate calcium carbonate complex beads were optimized through batch experiments at room temperature (298.15 K). Figure 4a indicates the graphical representation of contact time studies.

For each conservation feature, a quantitative target was set, indicating the minimum representation of that feature required within protected areas.

Visual check indicates the accurate representation of the experimental data by the models and the predictive power of the computational model for pharmacokinetic phenotypes.

In the following, signals {xi(t),xk(t)} ∈ {xH t),xS t), − xR t)}, indicate the complex analytical signal representation of HPV, SAPV and inverse respiratory signal, respectively.

The term "objective" will be used here, rather than "target," so as not to confuse this use of "target" with its use to indicate the desired level of representation in CANs.