Our main results can be stated as follows: 1. For any given numbers m, C and D, the class of m-dimensional simply connected closed smooth manifolds with finite second homotopy groups which admit a Riemannian metric with sectional curvature bounded in absolute value by |K| ≤ C and diameter uniformly bounded from above by D contains only finitely many diffeomorphism types. 2. Given any m and any ...

Let (M, deg) be a cancellative monoid M equipped with a discrete degree map deg :M →R≥0, and let PM,deg(t) := ∑ u∈M/∼t deg(u) be its generating series, called the growth function of M . We show the inversion formula PM,deg(t) ·NM,deg(t) = 1 where the second factor of the formula is given by NM,deg(t) := 1 + ∑ T∈Tmcm(M,I0)(−1) #J1+···+#Jn−n+1 ∑ ∆∈|T | t , which we call the skew-growth function o...

We study properties of the boundary values (H ?i0) ?1 of the resolvent of a self-adjoint operator H for in a real open set on which H admits a locally strictly conjugate operator A (in the sense of E. Mourre, i.e. '(H) H; iA]'(H) aj'(H)j 2 for some real a > 0 if ' 2 C 1 0 (()). In particular, we determine the HH older-Zygmund class of the B(E; F)-valued maps 7 ! (H?i0) ?1 and 7 ! (H?i0)) ?1 in ...

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Damage caused by water shortages leads to physiological and biochemical changes in metabolism of plants and make them predispose to attack by pests and diseases and reduce the quality of the crops. In order to evaluate the effect of supplemental irrigation on safflower fly (A. helianthi) population of safflower cultivars, an experiment conducted as a split plot based on randomized complete bloc...

Accumulation of dry matter in siliqua, number of siliqua per plant, length of siliqua and seeds per siliqua of rapeseed (Brassica campestris L.) plants were studied under three irrigation levels (no irrigation, one irrigation at 30 DAS and two irrigations at 30 and 60 DAS) and three row spacing (20 cm, 30 cm and 40 cm). Th e experiment was carried out at Sher-e-Bangla Agricultural University (S...

Local wound debridement in the diseased pulp space is the main step in root canal treatment to prevent the tooth from being a source of infection. Successful root canal therapy is always based on the combination of proper instrumentation, irrigation and obturation of the root canal. Of these three essential steps of root canal therapy, irrigation of the root canal is the most important techniqu...

In this paper we are concerned about the ways GCH can fail in relation to rank-into-rank hypotheses, i.e., very large cardinals usually denoted by I3, I2, I1 and I0. The main results are a satisfactory analysis of the way the power function can vary on regular cardinals in the presence of rank-into-rank hypotheses and the consistency under I0 of the existence of j : Vλ+1 ≺ Vλ+1 with the failure...

BACKGROUND Nasal irrigation has been used as adjunctive therapy for sinonasal disease but is under-researched in children. The study aim was to evaluate the effectiveness of nasal irrigation with normal saline in the management of acute sinusitis in atopic children. METHODS We enrolled 60 atopic children with acute sinusitis, of whom 29 received nasal irrigation with normal saline and 31 did ...