Sentence examples for According to the proposition from inspiring English sources

According to the proposition in the previous section, it is required that.

According to the Proposition 2, we can know that {γ i } is determined when k is given.

According to the proposition, under the assumption that patient dumping is allowed only for private hospitals, social welfare can be improved by abolishing the outlier payment policy against many diseases in areas where more private hospitals operate.

According to the Proposition 3 and Proposition 6, we define L N,a) as follows: begin{array}rcl@ L(N) = frac{1}{1 + A_{N} + B_{N} + frac{1}{1-rho_ end{array}.

According to the proposition 2, \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$\begin{aligned} &R k(n,w) - len(Back x,w)), s, x) \cdot Back x, w) \subseteq \\ &\quad\subseteq D k(n,w),s,w).

The system provides an application program with answers to questions of the form "is the probability that ϕ will hold in the world at time t greater than τ?" It is unique among algorithms for probabilistic temporal reasoning in that it tries to limit its inference according to the proposition, time, and probability threshold provided by the application.

According to the propositions made above, it was expected that degradation of fresh detritus would proceed at similar rates irrespective of its position within the sediment and the presence of N. diversicolor.

According to the preceding proposition, the following system for the undetermined coefficients is obtained.

In fact, according to the next proposition, the above three conditions can be easily verified, and the detail the omitted here.

According to the above proposition, there exist constants (M>0) and (omega>0) such that biglVert S t) bigrVert leq Me^{-omega t}, quad t geq0.

This can be computed according to the following proposition.