Effect of smoking status on neuronal responses to graphic cigarette warning labels

Computation of the normalized cross-correlation by fast Fourier transform

k }<disp formula id="pone.0203434.e002">removedGRAPHIC f i=1 n ∑ k=0 n -1
t({ alpha k })</disp formula><disp formula id="pone.0203434.e003">removedGRAPHIC alpha k=∑ i=0 n -1
pone.0203434.e006">removedGRAPHIC NCC=1 m ∑ i=p p + m -1
GRAPHIC | g | 2 ¯=1 m Σ i=q q + m -1 | g i | 2
calculating<disp formula id="pone.0203434.e013">removedGRAPHIC f ¯=1 m ∑ i=p p + m -1 f i=1 n ∑ k=0 n -1 alpha k 1 m ∑ i=p p + m -1 e j 2
pone.0203434.e014">removedGRAPHIC gamma k=1 m ∑ i=0 m -1 e j 2
Therefore<disp formula id="pone.0203434.e018">removedGRAPHIC | f | 2 ¯=1 n ∑ l=0 n -1
pone.0203434.e019">removedGRAPHIC ζ l={ 1 n ∑ k=0 n -1
pone.0203434.e020">removedGRAPHIC ∑ k=0 n -1
condensing<disp formula id="pone.0203434.e026">removedGRAPHIC ζ k=gamma k ∑ i=0 n -1 | f | i 2 e - j 2 π k i n, 0
pone.0203434.e031">removedGRAPHIC eta k=∑ i=0 m -1
we have<disp formula id="pone.0203434.e036">removedGRAPHIC f i, i '=1 n n ' ∑ k=0 n -1 ∑ k '=0 n ' -1 alpha k, k ' e j 2
t 2 ({ alpha k, k ' })</disp formula><disp formula id="pone.0203434.e037">removedGRAPHIC alpha k, k '=∑ i=0 n -1 ∑ i '=0 n ' -1 f i, i ' e - j 2
The 2D normalized cross correlation is<disp formula id="pone.0203434.e038">removedGRAPHIC NCC=1 m m ' ∑ i=p p + m -1 ∑ i '=p ' p ' + m ' -1 (f i, i ' - f ¯)*- g i + q - p, i ' + q ' - p ' - g ¯) 1 m m ' ∑ i=p p + m -1 ∑ i '=p ' p ' + m ' -1

Physician-related determinants of medical end-of-life decisions - A mortality follow-back study in Switzerland

for the Swiss End-of-Life Decisions Study Group

Urban-rural difference in the associations between living arrangements and the health-related quality of life (HRQOL) of the elderly in China-Evidence from Shaanxi province

Persistent metamorphopsia associated with branch retinal vein occlusion

chart having progressively increased dot spacing intervals
stepwise forward multivariate linear regression

indicates p<0.05 compared baselines. M=months. Error bars represent 95%