ϕTTT (the T × t matrix whose rows are the atoms normalized to a unit ℓ2-norm). In the case of overcomplete representations, the number of waveforms {ϕk} that compose the dictionary Ф is higher than the dimension of the space in which x lies: T > t. In practice, the ...
increased matrix stability and, ultimately, fibrosis4,5,6. β-aminoproprionitrile (BAPN) is a well-known inhibitor of all lysyl oxidases (pan-LOX inhibitor). When given systemically to developing animals, BAPN results in lathyrism (weakness and fragility of connective tissues such as skin, ...
2, the application layer is also divided into three main networks (WAN, NAN, and HAN networks) because each stage in the power system requires a certain range of communication. In HANs, for instance, communication ranges typically do not exceed approximately 300 m considering their respective ...
In this paper we provide a review of selected mathematical ideas that can help us better understand the boundary between living and non-living systems. We focus on group theory and abstract algebra applied to molecular systems biology. Throughout this pa
It is commonly known that a number of variables, including price, supply levels, time, and green level, affect how quickly certain things are in demand. Furthermore, the inventory carrying cost is considered to be a nonlinear representation of time and i
The AILET cut off is expressed as the rank of the last candidate selected from a particular category in a particular round. Candidates who do not meet the AILET cut off 2025 in a particular round will be wait-listed and be eligible for selection in the subsequent round. However, if the...
For example, assuming each growth rate determination is within a variation of ± 0.1 μm/min, the rank order of the conditions for each of the two data sets is quite similar, although the 4R-1:55 and 3R-1:38 conditions are reversed (see Table 3). This inherent biological variability ...
To evaluate significant differences of different brands of loratadine tablets and omeprazole-induced DDI, the nonparametric Wilcoxon rank-sum test for Tmax and t1/2, and the paired-samples t-test for other pharmacokinetic parameters were conducted using the Statistical Package for the Social Sciences ...
The symbol l represents the rank of a matrix tensor, with values ranging from 1 and beyond, 0(l) represents the zero tensor of rank l.(5)∫W(xi-xj,h)dΩ=1(6)Ml=∫(xi-xj)lW(xi-xj,h)dΩ=0lContemporary SPH applications typically use kernels with compact support, where Wxi-xj,...
For continuous variables, either the t-test or Mann–Whitney test was used based on their distribution in each cohort. Survival analysis was conducted using the Kaplan–Meier method, and differences in survival between groups were determined using the log-rank test. STATA13 was utilized for ...