‎Let $R$ be a noncommutative prime ring of‎ ‎characteristic different from $2$‎, ‎$U$ the Utumi quotient ring of $R$‎, ‎$C$ $(=Z(U))$ the extended centroid‎ ‎of $R$‎. ‎Let $0neq ain R$ and $f(x_1,ldots,x_n)$ a multilinear‎ ‎polynomial over $C$ which is noncentral valued on $R$‎. ‎Suppose‎ ‎that $G$ and $H$ are two nonzero generalized derivations of $R$‎ ‎such that $a(H(f(x))f(x)-f(x)G(f(x)))in ...

s i n c e t h e l a t e 1960s, s e v e r a l c o n s t i t u t i v e m o d e l s h a v e b e e n d e v e l o p e d f o r s a n d s d e s c r i b i n g t h e i r s t r e s s-s t r a i n e h a v i o r. m o s t o f t h e s e m o d e l s w e r e e s t a b l i s h e d b a s e d o n a m e a s u r e o f t h e p l a s t i c w o r k a n d s o m e y i e l d c r i t e r i a, a m o n g t h e m b e i n g t ...

In this paper, we determine the $L^p(\mathbb{R})\times L^q(\mathbb{R})\rightarrow L^r(\mathbb{R})$ boundedness of bilinear Hilbert transform $H_{\gamma}(f,g)$ along a convex curve $\gamma$ $$H_{\gamma}(f,g)(x):=\mathrm{p.\,v.}\int_{-\infty}^{\infty}f(x-t)g(x-\gamma(t)) \,\frac{\textrm{d}t}{t},$$ where $p$, $q$, and $r$ satisfy $\frac{1}{p}+\frac{1}{q}=\frac{1}{r}$, $r>\frac{1}{2}$, $p>1$, $q>1$...

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

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