Sentence examples for alternate representation of from inspiring English sources

where is eigenvalue of the matrix The integration over the variable comes from using an alternate representation of function [12].

and a well-known integral function related to the alternate representation of one- and two-dimensional joint Gaussian -functions [21 24] (4).

In this paper, we show how probabilistic hardware using distributed memory and alternate representation of data as stochastic bitstreams can solve that problem with high performance and energy efficiency.

In this paper, using the alternate representation of the two-dimensional joint Gaussian -function and the MGF-based method, the exact SEP expressions of arbitrary -ary cross-QAM in AWGN and fading channels, including Rayleigh, Nakagami-m, Rice, and Nakagami-q (Hoyt) channels, have been derived.

Second, we also expressed urine output as the presence of oliguria anytime during the ICU stay and the duration of oliguria (defined as the proportion of ICU days complicated by oliguria) as an alternate representation of urine volume in the models.

This will be used to determine alternate representations of the optimal solution that are more suitable for implementation.

Vector X k forms input to the equalizer at time k while G k, J k are the two alternate representations of the system state at time k.

During automated retrieval of metadata fields, we observed several alternate representations of information for certain annotation types in the archives.

Efficient and reliable automated methods for standardization are necessary during the registration process to compensate for alternating representations of as well as errors and artifacts in (sub structure representations caused by diverging business rules, personal preferences, data format conversion, disagreements between aromaticity definitions and automated library generation.

A fifth example suggests an alternate representation that allows continuously-variable material density.

Further, students tend to have difficulty mapping their intuitive understandings to formal representations and evaluating alternate representations (Sherin 2001).