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 ...

Let $ m , n in mathbb{N}$, $D$ be a division ring, and $M_{m times n}(D)$ denote the bimodule of all $m times n$ matrices with entries from $D$. First, we characterize one-sided submodules of $M_{m times n}(D)$ in terms of left row reduced echelon or right column reduced echelon matrices with entries from $D$. Next, we introduce the notion of a nest module of matrices with entries from $D$. We ...

melamine trisulfonic acid (mtsa) as an efficient heterogeneous catalyst has been used for the one-pot preparation of triazolo[1,2-a]indazole-1,3,8-trione and 2h-indazolo[2,1-b]phthalazine-1,6,11-trione derivatives by the three-component condensation reaction of urazoles or phthalhydrazide, dimedone or 1,3-cyclohexanedione, and aldehydes under solvent-free conditions in good to excellent yields ...

u n d o u b t e d l y, i n t h e l a s t d e c a d e s, t h e a s s e t p r i c i n g m o d e l i so n e o f m o s t i m p o r t a n t a n d, a t t h e s a m e t i m e, a t t r a c t i v e, f i n a n c e a r e a s. c a p m h a s b e e n t h e d o m i n a n t m o d e l i n t h i s s e c t i o n f o r m o r e t h a n 40 y e a r s. o n e r e a s o n i s i t s s t r o n g b a s e, w h i c h h a s b...

indandione 1 was brominated to yield 2-bromoindandione 2 which on further reacted with substituted thiocarbamides, carbamides, 2-aminothiophenols, 2-aminophenol and triazoles to furnished 3-substituted aniline-2-thia-4-aza-6,7-benzo-8-oxo-bicyclo [3.3.0]-1(5),3-octadiene 3, 3-substituted aniline-2-oxa-4-aza-6,7-benzo-8-oxo-bicyclo [3.3.0]-1(5),3-octadiene 4, 2-thia-5-aza-9-oxo-3,4-(3’-substitut...

Let $(R,m)$ be a commutative Noetherian local ring, $M$ a finitely generated $R$-module of dimension $d$, and let $I$ be an ideal of definition for $M$. In this paper, we extend cite[Corollary 10(4)]{P} and also we show that if $M$ is a Cohen-Macaulay $R$-module and $d=2$, then $lambda(frac{widetilde{I^nM}}{Jwidetilde{I^{n-1}M}})$ does not depend on $J$ for all $ngeq 1$, where $J$ is a minimal ...

objective adenoid cystic carcinoma (acc) is a rare malignant tumor originating from the salivary glands. it’s rather bland histological appearance that masks its ultimate biological aggressiveness. evaluation of cell cycle and mitoses have been useful in predicting malignancy in many tumors. ki-67 antigen is a human nuclear antigen that presents during all active phases of cell cycle. the aim o...