We explicitly calculate the disk-level S-matrix element of two closed string R-R and one open string NS vertex operators in RNS formalism. We show that the amplitude satisfies various duality Ward identities. In particular, when one of the R...

Recently it has been speculated that the Ward identities associated with the string dualities and the gauge symmetries can be used as guiding principles to find all components of the scattering amplitude of $n$ supergravitons from a given...

were clustered according to their fluctuation behavior using the “Ward” method, which resulted in six areal zones. hen, for each cluster, an observation well was selected as its representative, and for each zone, values of monthly precipitation...

acidity

(pH), Phosphorus (P), and Electrical Conductivity (EC) were measured. Euclidean distance

and Ward's method of clustering were used to classify the plant species. Six ESG were

detected in clustering and indicator species...