i-th

(The entry on classical logic uses the notation ˜A, s where s is any assignment to all the variables of L that assigns to each variable vi free in φ the i-th element in the n-tuple a.)

First-order Model Theory Hodges, Wilfrid 2009

It is now evident that if any of the particles (say, the i-th particle) undergoes a hitting process, e.g. near the point hi, the multiplication prescription leads practically to the suppression of the second term in (4).

Collapse Theories Ghirardi, Giancarlo 2007

In particular it is assumed that M being in state gi means that there is unit probability of the pointer falling in the i-th division of the scale.

Measurement in Quantum Theory Krips, Henry 2007

Xi, and consists of those I-tuples whose i-th element is some element of Xi.

Algebra Pratt, Vaughan 2007

To get the d-th difference for the i-th element, one multiplies this vector by the vector of length [ tex] d+1 [/ tex] of the lagged time series starting at element i.

Climate Models – the Next Generation « Climate Audit 2006

To get the d-th difference for the i-th element, one multiplies this vector by the vector of length of the lagged time series starting at element i.

Climate Models – the Next Generation « Climate Audit 2006

The most obvious implementation of the above procedure is qr-minimization, which for the i-th proxy yields a Neofs -length vector of coefficients G,i as follows:

MBH Calibration-Estimation Procedure « Climate Audit 2006

To get the d-th difference for the i-th element, one multiplies this vector by the vector of length latex d / tex, the vectors are of infinite length but everything else remains the same.

Climate Models – the Next Generation « Climate Audit 2006

The covariance between a TPC and the i-th proxy and mutatis mutandi, variances can be expressed in inner product terms as follows:

MBH Calibration-Estimation Procedure « Climate Audit 2006

To get the d-th difference for the i-th element, one multiplies this vector by the vector of length of the lagged time series starting at element i.

Climate Models – the Next Generation « Climate Audit 2006