Some generalized trapezoid type inequalities for the RiemannStieltjes integral of continuous complex valued integrands de…ned on the complex unit circle C (0; 1) and various subclasses of integrators of bounded variation are given. Natural applications for functions of unitary operators in Hilbert spaces are provided. 1. Introduction In [13], in order to approximate the Riemann-Stieltjes integr...

We consider the inhomogeneous nonlinear Schr\"odinger (INLS) equation in $\mathbb{R}^N$ $$i \partial_t u +\Delta +|x|^{-b} |u|^{2\sigma}u = 0,$$ where $N\geq 3$, $0<b<\min\left\{\frac{N}{2},2\right\}$ and $\frac{2-b}{N}<\sigma<\frac{2-b}{N-2}$. The scaling invariant Sobolev space is $\dot{H}^{s_c}$ with $s_c=\frac{N}{2}-\frac{2-b}{2\sigma}$. restriction on $\sigma$ implies $0<s_c<1$ called inte...

M?c tiêu nghiên c?u: Mô t? ??c ?i?m lâm sàng, c?n sàng và k?t qu? s?m ph?u thu?t n?i soi c?t bán ph?n c?c d??i kèm n?i d? dày h?ng tràng ki?u ch? Y ?i?u tr? ung th? bi?u mô c?a t? tháng 08/ 2020 ??n 07/ 2021 t?i B?nh vi?n ??i h?c hà N?i. Ph??ng pháp Nghiên c?u ti?n trên 39 b?nh nhân (BN) ???c hoàn toàn d??i, n?o vét h?ch D2, dày-h?ng quai Y. K?t bàn lu?n: Tu?i trung bình 61 ± 9,9. T? l? Nam/N? ...

Die Versuche dienen zur Ü b e r p r ü f u n g der Theor ie , daß die pho toper iod i schen Reakt ionen ents tehen, wei l das L ich t in der pho toph i l en P h a s e der endogenen Rhy thmik (in der Rege l an e iner B l a t t h e b u n g e r k e n n b a r ) die B l ü t e n b i l d u n g f ö r d e r t , s ie aber in der skotophi len Phase (in der Rege l an e iner B l a t t s e n k u n g e r k e n...

Let q, a, b, and T be real numbers with q ≥ 0, a > 0, 0 < b < 1, and T > 0. This article studies the following degenerate semilinear parabolic first initial-boundary value problem, xut(x, t)− uxx(x, t) = aδ(x− b)f (u(x, t)) for 0 < x < 1, 0 < t ≤ T, u(x, 0) = ψ(x) for 0 ≤ x ≤ 1, u(0, t) = u(1, t) = 0 for 0 < t ≤ T, where δ (x) is the Dirac delta function, and f and ψ are given functions. It is ...

By means of calculation of the fixed point index in cone we consider the existence of one or two positive solutions for the fourth-order boundary value problem with variable parameters { u(t) + B(t)u′′(t)−A(t)u(t) = f(t, u(t), u′′(t)), 0 < t < 1, u(0) = u(1) = u′′(0) = u′′(1) = 0, where A(t), B(t) ∈ C[0, 1] and f(t, u, v) : [0, 1]× [0,∞)×R → [0,∞) is continuous.

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

it is shown that every  almost linear bijection $h : arightarrow b$ of a unital $c^*$-algebra $a$ onto a unital$c^*$-algebra $b$ is a $c^*$-algebra isomorphism when $h(3^n u y) = h(3^n u) h(y)$ for allunitaries  $u in a$, all $y in a$, and all $nin mathbb z$, andthat almost linear continuous bijection $h : a rightarrow b$ of aunital $c^*$-algebra $a$ of real rank zero onto a unital$c^*$-algebra...

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

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