If the actual distribution behind an equation differs from the distribution in the recovery process, a covariance matrix different from the actual (but unknown) will emerge from a recovery procedure.
Sometimes the computed structure can be significantly different from the actual structure of the object.
Facebook is still very different from the actual democratic governments we know and, on good days, love.
High-altitude readings are usually different from the actual elevation above sea level, but no matter: the point is to maintain a consistent separation.
where lda is the leading (i.e. row) dimension of A. Note that lda is in general different from the actual matrix dimension.
Other stress indexes (such as the maximum principal stress and the von Mises stress) had maximum stress at a location different from the actual crack location.
Since the result of Bezier method is different from the actual velocity profile, the Chitkara corrective function has been modified and applied to improve the velocity field.
Paired Student t-test showed that the modeled CRP Z-offset data (ZCRP) is not statistically different from the actual Z-offset data, ZOFF (p>0.05).
Predictions of patch occupancy were not significantly different from the actual value for the number of occupied patches in half the models tested.
If investors are risk-averse, the latter density is different from the actual density that could be inferred from the time series of S&P 500 returns.
Aside from currency volatility, we are concerned on the impact this may have on underlying margins for autumn/winter before the season has started (ie the assumed rate for the buying team may be very different from the actual).
