v a g u e p r o p e r t i e s o f ' h o m o t o p i c a l e x a c t n e s s ' , a p p e a r i n g f o r i n s t a n c e i n t h e f i b r e o r c o f i b r e s e q u e n c e o f a m a p . S u c h n o t i o n s o f e x a c t n e s s c a n b e g i v e n f o r v e r y g e n e r a l ' c a t e g o r i e s w i t h h o m o t o p i e s ' h a v i n g h o m o t o p y k e r n e l s a n d c o k e r n e l s...

Di(4-nitrobenzoyloxy)iodo]benzene (1), a hypervalent iodine compound, is easy to prepare and stable as solid, was shown be useful functional group transforming agent in this report. Oxidative synthesis of symmetrical disulfides from thiols the presence compound 1 alone performed 58–100% yields. Furthermore, ESI-MS demonstrated that premixing Ph3P yields corresponding acyloxyphosphonium, which c...

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

Let J be a norm-continuous functional on the space B of bounded E-measurable real valued functions on a set S, where S is an algebra of subsets of S. Define a set function v on £ by : v(E) equals the value of I at the indicator function of E. For each a in B let /0 coo (v(a > a) v(S)) da+ v(a > a) da. -oo Jo Then / = J on B if and only if I(b + c) = 1(b) + 1(c) whenever (b(s) b(t))(c(s) c(t)) >...

the isoe lect r i c f ocusing p a t terns and ph activity cur ves of f i ve glycosidas e e nzymes i n blood plasma and ur i ne were s t ud i e d . this s tudy demons trated the presence o f a sing le molecular f onn in a -glucosidase and of two mole cul a r fonns of the enzymes h-a ce t yl-b-d-gluco sarni nidase, na c e t y l -•p-d-g a l a c t o s amin i ua s e and s-glucuronidase i n both plas...

Sets play a key role in foundations of mathematics. Why? To what extent is it an accident of history? Imagine that you have a chance to talk to mathematicians from a far away planet. Would their mathematics be setbased? What are the alternatives to the set-theoretic foundation of mathematics? Besides, set theory seems to play a significant role in computer science, in particular in database the...

T h e e x a c t M a x w e l l f B o l t z m a n n ( M B ) , B o s e f E i n s t e i n ( B E ) a n d F e r m i f D i r a c ( F D ) e n t r o p i e s a n d p r o b a b i l i s t i c d i s t r i b u t i o n s a r e d e r i v e d b y t h e c o m b i n a t o r i a l m e t h o d o f B o l t z m a n n , w i t h o u t S t i r l i n g ’ s a p p r o x i m a t i o n . T h e n e w e n t r o p y m e a s u r...

The g o a l o f t h e NLG p r o j e c t i s t o enhance p e r s o n c o m p u t e r i n t e r a c t i o n b y u s i n g more t h a n one mode o f c o m m u n i c a t i o n . The p r o j e c t uses a c o m b i n a t i o n o f n a t u r a l l anguage and g r a p h i c s f o r b o t h i n p u t and o u t p u t . T h i s a l l o w s deve lopmen t o f p r a c t i c a l , h a b i t a b l e sys tems s...

Abstract We make a critical analysis on the free parameters of Cornell potential $$-\frac{4\alpha _{s}}{3r}+br+c$$ - 4 α s 3 r + b <...