Sentence examples for alternate representation from inspiring English sources

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

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).

The clique factorization also allows for an alternate representation such that the internal scalar-based state discriminant can be replaced with a vector-based feature.

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.

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

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.

Also, we note that these alternate representations would not introduce any significant increase in computational complexity, since the SVM-based discriminant, having been trained offline, would require the computation of a simple vector dot product.

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