Let M be a connected compact Riemannian manifold possibly with boundary ∂M, let V ∈ C2(M) such that μ(dx) := eV (x)dx is probability measure, where dx the volume and L =Δ +∇V. As continuation to Wang Zhu (2019) convergence in quadratic Wasserstein distance \(\mathbb {W}_{2}\) studied for empirical measures of L-diffusion process (with reflecting if ∂M≠∅), this paper presents exact rate subordin...

T h e e l e c t r o n i c s p e c t r a o f a s e r i e s o f s u b s t i t u t e d 4 h y d r o x y p y r i d o n e s a r e c a l c u l a t e d b y t h e C N D O / C I m e t h o d . B e s t a g r e e m e n t b e t w e e n o b s e r v e d a n d c a l c u l a t e d t r a n s i t i o n e n e r g i e s i s o b t a i n e d w h e n t h e g e o m e t r y o f t h e p y r i d o n e f o r m i s a s s u m...

T h e A B X c o m p o u n d s M g C u P , B a C u P ( A s ) a n d B a A g P ( A s ) h a v e b e e n p r e p a r e d a n d t h e i r s t r u c t u r e s d e t e r m i n e d . M g C u P c r y s t a l l i z e s o r t h o r h o m b i c a l l y i n a n anti-PbCl2s t r u c t u r e ( s p a c e g r o u p P n m a D . J g , a = 6 5 3 . 2 ( 1 ) p m , b — 3 8 3 . 5 ( 1 ) p m , c = 7 1 7 . 0 ( 1 ) p m ) . T...

I n t h i s p a p e r a t t e m p t s h a v e b e e n f o c u s e d o n u s i n g w i n d o w t r a c k i n g t e c h n l q u e t o a n a l y s e h u m a n b o d y m o v e m e n t . A c c o r d i n g t o t h e b e h a v l o r of h u m a n v i s i o n s y s t e n , a n I d e a of r o u g h a n d p r e c i s e s e a r c h s p a c e i s p r o p o s e d in o r d e r t o r e d u c e t h e s e a r c ...

T h e mo l ecu la r m o b i l i t y o f l i q u i d a m m o n i a is der i ved f r o m the d e t e r m i n a t i o n o f the l o n g i t u d i n a l r e l a x a t i o n t imes of the p ro tons and deuterons. T h e exper iments were pe r f o rmed i n the t empera tu re in te rva l between the m e l t i n g p r e s su r e curve a n d 467 K for N H 3 a n d to 351 K for N D 3 at pressures u p to 25...

Wide diameter dω(G) and fault-diameter Dω(G) of an interconnection network G have been recently studied by many authors. We determine the wide diameter and fault-diameter of the integer simplex T n m. Note that d1(T n m) = D1(T n m) = d(T n m), where d(T n m) is the diameter of T n m. We prove that dω(T n m) = Dω(T n m) = d(T n m) + 1 when 2 ≤ ω ≤ n. Since a triangular pyramid TPL is T 3 L, we ...

Q u a n t u m c o n d e n s a t i o n o f a n i n t e r a c t i n g f e r m i o n o r b o s o n g a s is f o r m u l a t e d w i t h t h e h e l p o f t h e m e t h o d o f t h e q u a s i e x p e c t a t i o n v a l u e 1 . A c o n v e n i e n t v e r s i o n o f th i s m e t h o d w a s , f o r t h e b o s o n g a s , g i v e n r e c e n t l y b y t h e a u t h o r 2> 3 . I t is a d a p t e d...

T h e m o l e c u l a r s t r u c t u r e o f t h e l e t h y l 3 m e t h y l l a l u m i n a i n d a n e d i m e r h a s b e e n d e t e r m i n e d f r o m s i n g l e c r y s t a l X r a y d a t a c o l l e c t e d b y c o u n t e r m e t h o d s . T h e c o m p o u n d c r y s t a l l i z e s i n t h e m o n o c l i n i c s p a c e g r o u p C | h P 2 i / c w i t h a = 1 4 . 6 2 1 ( 2 ) , b...

We consider a slight modification to the monocyte and T-lymphocyte boundary conditions of Little et al. (1) and derive alternative parameter estimates. No changes to the results and conclusions of the paper of Little et al. (1) are implied. Introduction and Results We shall consider a slight modification of the boundary monocyte and T-lymphocyte flux given by equations (17) and (18) in Little e...

E m i g r a t i o n f rom s o m e p a r t s o f C r o a t i a r e a c h e d mass ive p r o p o r t i o n s a l r eady in t h e e igh t i e s o f t he p r e v i o u s cen tu ry . A t tha t t ime C r o a t i a was wi th in t h e A u s t r o H u n g a r i a n m o n a r c h y b u t ter r i tor ia l ly a n d poli t ically i t was d iv ided in to : t h e B a n a t e o f C r o a t i a ( B a n s k a H ...