Step 1: We first re-formulate (5) by an equivalent input-output model, in which H is decomposed into a multiplication of multiple matrices including a matrix that depends only on the signature waveform correlation coefficients.
This completes the proof for Lemma 1. ■. Proposition 1 is proved in three steps: Step 1: We first re-formulate (5) by an equivalent input-output model, in which H is decomposed into a multiplication of multiple matrices including a matrix that depends only on the signature waveform correlation coefficients.
Artificial matrices include a group of scaffolds that mimic the ECM.
The test matrix included a sweep of injection pressure up to 2000 bar and a sweep of ambient temperature up to 950 K.
The matrix included a total of 1,075 Solanaceae species and a single outgroup (Ipomoea, Convolvulaceae).
The matrix included a total of 4,576 variable characters, with an aligned length of 10,672 bp (Table 2).
The matrix included a total of 670 characters (662 aligned bps: ITS1 = 282 bps, 5.8S = 158 bps, ITS2 = 222 bps; and eight binary coded gaps).
In addition, the design matrix included a constant term and 6 realignment parameters (yaw, pitch, and roll and X-, Y-, and Z-axis termslatermsterms).
Further, the design matrix included a boxcar function for the duration of each chase phase, a stick function for each of foraging start, foraging end without predator waking up, predator wake up, being caught by predator, end of chase phase, block start, block end, token collection, and automatic token update.
The predictor (input) matrix included an extensive list of environmental factors including: temperature, pH, osmolality and concentrations of 24 measured components (viable cells, glucose, lactate, ammonia, glycoprotein and 19 amino acids).
