This paper examined the effect of Si addition on the cracking resistance of Inconel 939 alloy after laser additive manufacturing (AM) process. With the help of CALculation of PHAse Diagrams (CALPHAD) software ThermoCalc, the amounts of specific elements (C, B, and Zr) in liquid phase during solidification, cracking susceptibility coefficients (CSC) and cracking criterion based on
Recent spectacular advances by AI programs in 3D structure predictions from protein sequences have revolutionized the field in terms of accuracy and speed. The resulting “folding frenzy” has already produced predicted protein structure databases for the entire human and other organisms’ proteomes. However, rapidly ascertaining a predicted structure’s reliability based on measured properties in solution should be considered. Shapesensitive hydrodynamic parameters such as the diffusion and sedimentation coefficients (
 Publication Date:
 NSFPAR ID:
 10381798
 Journal Name:
 Scientific Reports
 Volume:
 12
 Issue:
 1
 ISSN:
 20452322
 Publisher:
 Nature Publishing Group
 Sponsoring Org:
 National Science Foundation
More Like this

Abstract values ($$\left {{\text{d}}T/{\text{d}}f_{{\text{s}}}^{1/2} } \right$$ $\left(\text{d}T/\text{d}{f}_{\text{s}}^{1/2}\right)$T : solidification temperature,f _{s}: mass fraction of solid during solidification) were evaluated as the indicators for composition optimization. It was found that CSC together with values provided a better prediction for cracking resistance.$$\left {{\text{d}}T/{\text{d}}f_{{\text{s}}}^{1/2} } \right$$ $\left(\text{d}T/\text{d}{f}_{\text{s}}^{1/2}\right)$Graphical abstract 
Abstract The genericity of Arnold diffusion in the analytic category is an open problem. In this paper, we study this problem in the following
a priori unstable Hamiltonian system with a timeperiodic perturbation where ${\mathcal{H}}_{\epsilon}(p,q,I,\phi ,t)=h(I)+\sum _{i=1}^{n}\pm \left(\frac{1}{2}{p}_{i}^{2}+{V}_{i}({q}_{i})\right)+\epsilon {H}_{1}(p,q,I,\phi ,t),$ , $(p,q)\in {\mathbb{R}}^{n}\times {\mathbb{T}}^{n}$ with $(I,\phi )\in {\mathbb{R}}^{d}\times {\mathbb{T}}^{d}$n ,d ⩾ 1,V _{i}are Morse potentials, andɛ is a small nonzero parameter. The unperturbed Hamiltonian is not necessarily convex, and the induced inner dynamics does not need to satisfy a twist condition. Using geometric methods we prove that Arnold diffusion occurs for generic analytic perturbationsH _{1}. Indeed, the set of admissibleH _{1}isC ^{ω}dense andC ^{3}open (a fortiori ,C ^{ω}open). Our perturbative technique for the genericity is valid in theC ^{k}topology for allk ∈ [3, ∞) ∪ {∞,ω }. 
Abstract We present the first unquenched latticeQCD calculation of the form factors for the decay
at nonzero recoil. Our analysis includes 15 MILC ensembles with$$B\rightarrow D^*\ell \nu $$ $B\to {D}^{\ast}\ell \nu $ flavors of asqtad sea quarks, with a strange quark mass close to its physical mass. The lattice spacings range from$$N_f=2+1$$ ${N}_{f}=2+1$ fm down to 0.045 fm, while the ratio between the light and the strangequark masses ranges from 0.05 to 0.4. The valence$$a\approx 0.15$$ $a\approx 0.15$b andc quarks are treated using the Wilsonclover action with the Fermilab interpretation, whereas the light sector employs asqtad staggered fermions. We extrapolate our results to the physical point in the continuum limit using rooted staggered heavylight meson chiral perturbation theory. Then we apply a modelindependent parametrization to extend the form factors to the full kinematic range. With this parametrization we perform a joint latticeQCD/experiment fit using several experimental datasets to determine the CKM matrix element . We obtain$$V_{cb}$$ ${V}_{\mathrm{cb}}$ . The first error is theoretical, the second comes from experiment and the last one includes electromagnetic and electroweak uncertainties, with an overall$$\left V_{cb}\right = (38.40 \pm 0.68_{\text {th}} \pm 0.34_{\text {exp}} \pm 0.18_{\text {EM}})\times 10^{3}$$ $\left({V}_{\mathrm{cb}}\right)=(38.40\pm 0.{68}_{\text{th}}\pm 0.{34}_{\text{exp}}\pm 0.{18}_{\text{EM}})\times {10}^{3}$ , which illustrates the tensions between the experimental data sets, and between theory and experiment. This result is inmore »$$\chi ^2\text {/dof} = 126/84$$ ${\chi}^{2}\text{/dof}=126/84$ 
Abstract It has been recently established in David and Mayboroda (Approximation of green functions and domains with uniformly rectifiable boundaries of all dimensions.
arXiv:2010.09793 ) that on uniformly rectifiable sets the Green function is almost affine in the weak sense, and moreover, in some scenarios such Green function estimates are equivalent to the uniform rectifiability of a set. The present paper tackles a strong analogue of these results, starting with the “flagship degenerate operators on sets with lower dimensional boundaries. We consider the elliptic operators associated to a domain$$L_{\beta ,\gamma } = {\text {div}}D^{d+1+\gamma n} \nabla $$ ${L}_{\beta ,\gamma}=\text{div}{D}^{d+1+\gamma n}\nabla $ with a uniformly rectifiable boundary$$\Omega \subset {\mathbb {R}}^n$$ $\Omega \subset {R}^{n}$ of dimension$$\Gamma $$ $\Gamma $ , the now usual distance to the boundary$$d < n1$$ $d<n1$ given by$$D = D_\beta $$ $D={D}_{\beta}$ for$$D_\beta (X)^{\beta } = \int _{\Gamma } Xy^{d\beta } d\sigma (y)$$ ${D}_{\beta}{\left(X\right)}^{\beta}={\int}_{\Gamma}{Xy}^{d\beta}d\sigma \left(y\right)$ , where$$X \in \Omega $$ $X\in \Omega $ and$$\beta >0$$ $\beta >0$ . In this paper we show that the Green function$$\gamma \in (1,1)$$ $\gamma \in (1,1)$G for , with pole at infinity, is well approximated by multiples of$$L_{\beta ,\gamma }$$ ${L}_{\beta ,\gamma}$ , in the sense that the function$$D^{1\gamma }$$ ${D}^{1\gamma}$ satisfies a Carleson measure estimate on$$\big  D\nabla \big (\ln \big ( \frac{G}{D^{1\gamma }} \big )\big )\big ^2$$ $D\nabla (ln(\frac{G}{{D}^{1\gamma}})){}^{2}$ . We underline that the strong and the weak results are different in nature and, of course, at the levelmore »$$\Omega $$ $\Omega $ 
Abstract A wellknown open problem of Meir and Moser asks if the squares of sidelength 1/
n for can be packed perfectly into a rectangle of area$$n\ge 2$$ $n\ge 2$ . In this paper we show that for any$$\sum _{n=2}^\infty n^{2}=\pi ^2/61$$ ${\sum}_{n=2}^{\infty}{n}^{2}={\pi}^{2}/61$ , and any$$1/2 $1/2<t<1$ that is sufficiently large depending on$$n_0$$ ${n}_{0}$t , the squares of sidelength for$$n^{t}$$ ${n}^{t}$ can be packed perfectly into a square of area$$n\ge n_0$$ $n\ge {n}_{0}$ . This was previously known (if one packs a rectangle instead of a square) for$$\sum _{n=n_0}^\infty n^{2t}$$ ${\sum}_{n={n}_{0}}^{\infty}{n}^{2t}$ (in which case one can take$$1/2 $1/2<t\le 2/3$ ).$$n_0=1$$ ${n}_{0}=1$