Proof Beforehand, notice that the inequalities (67) and (68) imply respectively that (47) and (53) also hold.
Equations (47), (46), (48), (51), and (52) imply, respectively, \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$\left.
After the RefSeq filter and conservation examination yielded the HMDR set, 69 and 52 pre-miRNAs survived, respectively, implying respective sensitivities of 80.2% and 60.5% for our pipeline.
Using the polymorphic model, the asymptotes for SI 25 m and 35 m are 55.9 m and 59.0 m respectively, implying that respectively 45% and 59% of asymptotic height are achieved at age 20 years.
Thus, and imply and, respectively,.
We say that is increasing, decreasing, nondecreasing, and nonincreasing on if and imply,,, and, respectively.
Therefore, ( {H}_m^{(1)}(u) ) and ( {H}_m^{(2)}(u) ) imply waves respectively outgoing and incoming in the radial direction [2, 11, 33].
The up-regulated genes and down regulated genes are noted with positive and negative signs to imply directionality, respectively.
Indeed, if γ0 > 0 (respectively γ0 < 0), a positive shock on the lagged conditional variance implies an increase (respectively a decrease) in current volatility.
Similarly, parts i) and ii) respectively implies that \ \textbf{P} \subsetneq \textbf{EXP}\) and \ \textbf{NP} \subsetneq \textbf{NEXP}\).
The intercept values are 65.64 and 69.04 for of COD (Y 1) and dicamba removal (Y 2) respectively, implies that the both responses are showing a positive effect.
