Sentence examples similar to left time left from inspiring English sources

We define diag n as an all-zero N×N matrix except the (left (N-left |nright |right times left (N-left |nright |right)) diagonal matrix in its top-right corner (n>0) or bottom-left corner (n<0), and diag0=diag.

Then phi_{fhbox{min} } left( y right) = - K + Q times left[ {left{ {H - left( {H times N} right) + V_{ds} + K - left( {K times N} right)} right} quad times { H - left( {H times N} right) - left( {V_{ds} times N} right) + K - left( {K times N} right)} } right]^{1/2} (7).

log left{ {left[ C right] times left( {frac{theta }{1 - theta }} right)} right} = 2.303log K_{text{ads}} + 2alpha theta (10 where K ads is the adsorption desorption constant and α is the lateral interaction term describing the interaction in adsorbed layer.

Substituting Eq. 3 in Eq. 4, EPF can be expressed as: {text{EPF}} = frac{1}{{left( {bar{v}^{3} } right)}} times left( {frac{text{WPD}}{0.5 times rho }} right) (5).

{text{jobmix}} = mathop sum limits_{i = 0}^{n} mathop sum limits_{j} left( {P_{j} times { ln }(P_{j} } right))/{ ln }left( m right) times left( {left( {BJ_{i} + BP_{i} } right)/left( {{text{TJ}} + {text{TP}}} right)} right) (3)where j is the job category number; P j is the proportion of jth job category in a TAZ; m is the number of job categories.

The definition is shown as follows: {text{Ac}} = frac{TP + TN}{TP + FP + TN + FN} {text{Sn}} = frac{TP}{TP + TN} {text{Sp}} = frac{TN}{FP + TN} {text{Pe}} = frac{TP}{FP + TP} {text{MCC}} = frac{{left( {TP times TN} right) - left( {FP times FN} right)}}{{sqrt {left( {TP + FN} right) times left( {TN + FP} right) times left( {TP + FP} right) times left( {TN + FN} right)} }}.

Equation 12 is used for calculating isentropic head (Smith and Van Ness 1998) h_{ij} = left( {frac{{z_{i} times R times T}}{M}} right) times left( {frac{k}{k - 1}} right) times left[ {left( {frac{{P_{text{d}} }}{{P_{text{s}} }}} right)^{{frac{k - 1}{k}}} - 1} right].

(7 By plugging Eq. (6) into (7) and ignoring the terms that do not involve (z_{m,n}), the conditional posterior of (z_{m,n}) becomes as follows: pleft( z_{m,n}=k|z^{left( -m,nright) },w,alpha,beta right)propto frac{left( alpha _{k}+n_{m,k}^{left( -m,nright) }right) times left( beta _{v}+n_{k}^{w_{m,n},left( -m,nright) }right) }{left( B+n_{k}^{left( -m,nright) }right) }, (8 where.

To express the predictive quantity of the heat capacity consumption of the continued operation phase, the expressions in Eqs. 2, 3, and 5 are used: u_{c} = u_{{c,{text{ps}}}} times left{ {left( {t_{text{e}} - t_{text{s}} } right) - T_{text{su}} } right}.

In this paper, the rate of air pressure change is introduced [5, 6]: x_{m}^{3} = {{Delta p times R times left( {T + 273.15} right)} mathord{left/ {vphantom {{Delta p times R times left( {T + 273.15} right)} V}} right.

As expected, none of the interactions in the formula (left[ {left( {{text{tamPu}} + {text{tamPeou}}} right) times left( {{text{olcMc}} + {text{olcSp}} + {text{olcOe}} + {text{olcTi}}} right)} right]) shows a significant average causal mediation (ACME) and proposed mediation values.