Sentence examples for formally formulated from inspiring English sources

The visibility problem is formally formulated as a boundary value problem (BVP) of a first order partial differential equation.

That is formally formulated as underset{i}{mathbf{max}}left{iin mathrm{mathbb{N}}left|left raisebox{1ex}{$left raisebox{1ex}{${varLambda}_i$} left/ raisebox{-1ex raisebox{-1exight.right)$}{left/ !raisebox{-1ex}{${T}_i^M$splaystyle {sum}right mathrm{mathbb{N}}}raisebox{1ex}{${varLambda}_k$}!left/ !raisebox{-1ex}{${T}_k^M$}right.rightt)$} left/ raisebox{-1ex raisebox{-1ex}{{varLambda } (8).

A new trusted opportunistic forwarding model is proposed by choosing the trusted and highest priority candidate forwarder, then a trusted minimum cost routing algorithm (MCOR) is formally formulated, the correctness and effectiveness of this algorithm from theoretical analysis are also approved.

Although partial Granger causality is formally formulated for any dimension (see [12] Eq. 5), it leads to numerical instability when used on high dimensional data and we actually only restricted ourselves to the one-dimensional case.

Given these definitions, the model invalidation and parameter estimation problems can be more formally formulated as follows.

We can formally formulate the NCDD problem at time slot in the recovery process as follows: (1).

Before we formally formulate our problem, we define for EU i the following self-mapping function (1).

This section formally formulates the problem of filtering of depth maps and specifies the notations used hereafter.

We describe our system model and problem statement in Section 3 and formally formulate the problem in Section 4. In Section 5, a column generation based approach is proposed.

Then we define data persistence formally and formulate the problem we attack in this work.

The joint spectrum sensing and access optimization problem for stable DSA can be formulated formally as follows: begin{array}rcl@ min_{A_{1},A_{2}} limlimits_{t to infty} frac{{eta (t)}}{t} s.t.~~~|A_{1}(t)|&leq& L~~forall t ~~D i,j &leq& Gamma,~~forall i,jin A_{2}(t),forall t ~~R t)&=&sumlimits_{nin A_{2}(t)}S_{n}(t geq frac{{Upsilon}}{{BW}},~~forall t end{array} (4).