The Brent-McMillan algorithm B3 (1980), when implemented with binary splitting, is the fastest known algorithm for high-precision computation of Euler’s constant. However, no rigorous error bound for the algorithm has ever been published. We provide such a bound and justify the empirical observations of Brent and McMillan. We also give bounds on the error in the asymptotic expansions of functio...

Roots are the key elements in water saving rice cultivation. So, Background the response of rice roots are to be phenotyped under varied drip irrigation treatments. : This study describes an investigation on rice root Methods phenotyping under drip irrigation treatments in split-split plot design. Two lateral spacing levels (0.8 and 1.2m), laid at two depths of sub surface irrigation (5-10 and ...

Several studies have reported on the detection of perchlorate (ClO(4)(-)) in edible leafy vegetables irrigated with Colorado River water. However, there is no information on spinach as related to ClO(4)(-) in irrigation water nor on the effect of other anions on ClO(4)(-) uptake. A greenhouse ClO(4)(-) uptake experiment using spinach was conducted to investigate the impact of presence of chlori...

We study the local equivalence problem for real-analytic (Cω) hypersurfaces M5⊂C3 that, in some holomorphic coordinates (z1,z2,w)∈C3 with w=u+ −1v, are rigid sense that their graphing functions u=F(z1,z2,z‾1,z‾2) independent of v. Specifically, we group Holrigid(M) biholomorphic transformations form (z1,z2,w)⟼(f1(z1,z2),f2(z1,z2),aw+g(z1,z2)), where a∈R∖{0} and D(f1,f2)/D(z1,z2)≠0, which preser...

This study evaluated the bond strength of mineral trioxide aggregate (MTA) to root canal dentin after the performance of various irrigation procedures to remove triple antibiotic paste (TAP). A total of 56 single-rooted human mandibular premolars were instrumented using a rotary system to size 40 and divided randomly into a control group (no intracanal dressing) and three experimental groups (T...

and Applied Analysis 3 curves of the objects should be embedded into the level set function as follows: C = {(x, y) | (x, y) ∈ Ω, φ (x, y) = 0} , Ω 1 = {(x, y) | (x, y) ∈ Ω, φ (x, y) > 0} , Ω 2 = {(x, y) | (x, y) ∈ Ω, φ (x, y) < 0} . (2) Then, the level set-based C-V model can be rewritten as follows: E (c 1 , c 2 , φ) = λ 1 ∫ Ω 󵄨󵄨󵄨󵄨I0 − c1 󵄨󵄨󵄨󵄨 2 H(φ) dxdy + λ 2 ∫ Ω 󵄨󵄨󵄨󵄨I0 − c2 󵄨󵄨󵄨󵄨 2 (1 − H (...