bivariate features, obtained from multichannel electroencephalogram (eeg) recordings, quantify the relation between different brain regions. studies based on bivariate features have shown optimistic results for tackling epileptic seizure prediction problem in patients suffering from refractory epilepsy. a new bivariate approach using univariate features is proposed here. differences and ratios ...

For sufficiently differentiable univariate functions f, g and their composite h = g(f) we prove that dg(f(x)) df(x)n = n ∑

In this paper, we give new sparse interpolation algorithms for black box univariate and multivariate rational functions h = f/g whose coefficients are integers with an upper bound. The main idea is as follows: choose a proper integer β and let h(β) = a/b with gcd(a, b) = 1. Then f and g can be computed by solving the polynomial interpolation problems f(β) = ka and g(β) = ka for some integer k. ...

and Applied Analysis 3 in the normal bundle T⊥M, and AN is the shape operator of the second fundamental form. Moreover, we have g ANX, Y g h X,Y ,N , 2.4 where g denotes the Riemannian metric onM as well as the metric induced onM. The mean curvature vector H on M is given by

c o l o r e d l i g h t r e f l e c t i o n s p r o d u c e d b y h i s m o b i l e s . H i s s h o r t J a m e s E . D a v i s , " F i g u r e S t u d y , " p e n c i l o n p a p e r , 1 9 3 4 . f i l m s , a v e r a g i n g a b o u t t e n m i n u t e s i n l e n g t h , w e r e o f t e n a c c o m p a n i e d b y o r i g i n a l m u s i c , s o m e t i m e s c o m p o s e d a n d a r r a n g...

S e d i m e n t d e n i t r i f i c a t i o n p o t e n t i a l f r o m t w o s i t e s i n t h e E l i z a b e t h R i v e r e s t u a r y w a s s t u d i e d o v e r a n i n e m o n t h p e r i o d u s i n g t h e a c e t y l e n e b l o c k a g e m e t h o d . R a t e s o f m i c r o b i a l p r o c e s s e s i n t h i s e n v i r o n m e n t a r e o f i n t e r e s t b e c a u s e o f t h e...

Q u e s t i o n 3 • M a k e s u r e t h e c h i l d w i t h l o w v i s i o n h a s h e r o w n t e x t b o o k • P u t t h e b o o k o n a r e a d i n g s t a n d . Q u e s t i o n 4 • U s e a r e a d i n g s t a n d a n d l a y t h e t e x t f l a t o n t h e s t a n d • I f n o r e a d i n g s t a n d i s a v a i l a b l e , u s e a c l i p b o a r ...

T h e ac t ive t r a n s p o r t of N a across i sola ted f r o g skin h a s b e e n e x a m i n e d extensively, b u t in t h e m a j o r i t y of s tudies t h e o u t e r sur face of t h e skin h a s b e e n b a t h e d w i t h solut ions c o n t a i n i n g re la t ive ly h i g h (115 mM) c o n c e n t r a t i o n s of N a . V a r i a t i o n in ra tes of N a t r a n s p o r t a n d in elect...

We examine the d i s to r t ion of a simple l inear ly polarised Gaussian beam on r e f l ec t i on from an of f -axis e l l i p s o i d a l m i r r o r . E x p r e s s i o n s a r e d e r i v e d f o r t h e d i s t o r t e d r e f l e c t e d f i e l d s and f o r t h e l o s s of power i n t o h i g h e r o r d e r and c r o s s p o l a r i s e d modes .