We studied the canonical structure of 2D $F(R)$ gravity. Its equivalence with Jackiw-Teitelboim gravity is demonstrated when no matter presents. Then, due to AdS$_2$/CFT$_1$ correspondence, such equivalent Sachdev-Ye--Kitaev models. The singular $D\to 2$ limit also studied. It shown that in a correspondence not realized.

We provide algebraic simplifications for the redundancy analysis (RDA) eigenvalue and the canonical correspondence analysis (CCA) eigenvalue in the special case of permanent plots sampled twice. The indices for RDA and CCA are interrelated and are intuitively interpretable. These simplifications also apply to simple split-plot designs and to a balanced design with two independent samples.

Careful attentions must be required for analyzing high dimensional Electroencephalographic (EEG) signals. There have many discrepancy or linearity when signals are recorded at different stimulations for a subject. When these signals are collected for different trails of a subject, there have similarity also. In this paper, we want to measure this correspondence on the basis of correlation aspec...