Abstract The origin of dark energy driving the accelerated expansion universe is still mysterious. We explore possibility that fluctuates, resulting in spatial correlations. Due to these fluctuations, Hubble rate itself becomes a fluctuating quantity. discuss effect this has on measurements type Ia supernovae, which are used constrain luminosity distance. show distance affected by correlations ...

A novel methodology is proposed for clustering multivariate time series data using energy distance defined in Székely and Rizzo (2013). Specifically, a dissimilarity matrix formed the statistic to measure separation between finite-dimensional distributions component series. Once pairwise calculated, hierarchical method then applied obtain dendrogram. This procedure completely nonparametric as d...

Although little is currently known of distance education in China, especially in Western educational circles, there is a long-standing wellestablished instructional television system of distance education that has flourished in China since the 1960s (Howells, 1989). In fact, one of the world’s largest education systems is the Dianda system in China, a combined radiotelevision university system ...

We have re-examined the B-N distance potential of CH3CN-BF3 using MP2, DFT, and high-accuracy multicoefficient methods (MCG3 and MC-QCISD). In addition, we have solved a 1-D Schrödinger equation for nuclear motion along the B-N stretching coordinate, thereby obtaining vibrational energy levels, wave functions, and vibrationally averaged B-N distances. For the gas-phase, MCG3//MP2/aug-cc-pVTZ po...

The energy equation for turbulent flow of fiber suspensions was derived in terms of second order correlation tensors. Fiber motion of turbulent energy including the correlation between pressure fluctuations and velocity fluctuations was discussed at two points of flow field, at which the correlation tensors were the functions of space coordinates, distance between two points, and time.