and are found in various plant organs, particularly in petals, leaves, and fruits [95]. These compounds are abundant in many dietary sources, including soybeans, red grapes, apples, and tea [96,97]. Flavonoids are a class of compounds that share a common basic parent nucleus of 2-...
Operations, such as calculating derivatives, map the tensor-product coordinate system to these shapes through Duffy transformations [37]— for example, ωT:T→Q maps the triangular region T to the quadrilateral region Q— to allow these methods to be well-defined. The relationship between these ...
The solution is approximated by linear combinations of fundamental solutions in terms of singularities which are placed on a fictitious boundary lying outside the considered domain. Due to this an approximated solution is given as a continuous function with continuous derivatives which is very ...
This method avoids the use of malodourous thiols. The application of practical α-ketothioester reagents for the dicarbonylation of amines and boroxine anhydride to afford α-ketoamide and benzil derivatives, respectively, was comprehensively achieved, and dicarbonyl motifs were successfully installed in...
where the sum runs over all triangles formed by nearest-neighbor bonds of the kagome lattice (both up and down triangles are considered). We define [Math Processing Error]L→△=JijJikJjkS→i+JjiJjkJikS→j+JkiJkjJijS→k, (3) wherei, j, k ∈ Δ are the three sites forming...
It is known that the unique solution of problem (1) is an element in\(H^2(\varOmega )\)(Theorem 2.5, [1]). Lemma 1 Let\(y_\psi \)be the solution of the problem (1) and\(\hat{y}\)the solution of the problem $$\begin{aligned} \begin{array}{cc} -\varDelta \hat{y} =...
cosmologies the Einstein–Hilbert action a term are of obtained the form b√y−adgdifn(gχt)o, with χ a scalar depending on the Hubble parameter only, not on its derivatives, and which is here shown to arise from the divergence of the unitary time-like eigenvector of the stress ...
Code Snippet of a Custom J2EE Filter Class In terms of runtime protection, application filters are useful because they can be developed independently of the application, deployed as a stand-alone .dll or .jar file, and turned on immediately. This means this solution can be deployed more ...
For a self-similar solution, each term within the definition of the normalized water flux may depend upon Sw, ξ and derivatives, but they may not depend upon time. This imposes two constraints:(21)R≡qqw0≤1(22)qw0TA2=TA2dTdt=Const. From the second equation above, we arrive at the ...
It introduces the concepts of neutrosophic graphs. The notion of neutrosophic graphs is the focus of the first approach in the literature, which is made in this study. 2. It is investigated the significance of this new class of graphs and how to differentiate it from the other existing class...