Sentence examples for matrices and partial from inspiring English sources

Firstly, we considered Gaussian matrices and partial Fourier matrices sized from n=40 to n=6144.

Based on the initial findings from PCA and FA, the framework incorporated orthogonal rotatable central composite experimental design to set up calibration matrices and partial least square regression to identify significant variables in predicting the target SVOCs and NVOCs in four particulate fractions ranging from >300 to 1 μm and one dissolved fraction of <1 μm.

Introduction to matrices and partial derivatives.

Simple Mantel tests were performed to find correlational relationships between two pairwise distance matrices, and partial Mantel tests were used to control for potential covariation by a third distance variable matrix [ 88].

For 32×40 Gaussian matrix and partial Fourier matrix, the speedup compared to the best l-Step TSA, l=1,2,3, becomes around 1760 times and 182 times respectively.

An error analysis of predicted values using spectral correction matrix and partial least squares (PLS) modeling is applied for the determination of Zn2+ and Pb2+ with methylthymol blue (MTB) as a metallochromic indicator.

Reduced toughness in this modified alloy relative to unalloyed NiAl Cr Mo) is attributed to the lack of plasticity in the precipitate-strengthened matrix and partial loss of the aligned lamellar microstructure by Hf and Si alloying.

The non-modified clay had a greater increase in the elastic behavior, while the modified clay increased viscose behavior because of more interactions with the matrix and partial intercalation.

Although the underlying mathematics relies on concepts from matrix algebra and partial derivatives, students with an understanding of high school algebra can easily follow the extension of the simple Hardy Weinberg equilibrium equation to the one locus three allele case.

In the worst case, the sparsity bound in our construction is similar to that of binary compressed sensing matrices constructed by DeVore and partial Fourier matrices constructed by Xu and Xu.

Mitochondrial damage was assessed using FLAMENG grading system [ 17]: 0 = normal matrix granules without visible damage; 1 = loss of matrix granules and light clearing of matrix; 2 = moderate clearing of matrix, moderate swelling, and partial fragmentation of cristae; 3 = severe clearing, severe swelling, and loss of cristae; and 4 = amorphous dense granules.