() + 1) result: auto_element_wise # TODO: this derivative is not SymInt safe, need sum_to support - name: expand(Tensor(a) self, SymInt[] size, *, bool implicit=False) -> Tensor(a) self: at::sum_to(grad, self.sym_sizes()) result: auto_linear - name: exponent...
It will be justified in the following that the \cosh formulation (symmetric special case of the exponential functions in Eq. (13)) is still valid for these BCs despite their asymmetry. To this end, a further analysis of the eigenvector {\varvec{v}}_1 is necessary. Since \lambda _1=0...
Hydrogels are attractive biomaterials owing to their high biocompatibility and physical characteristics that resemble biological tissues. New hydrogels with unique functions are frequently reported [13,14,15]. Among the various polymer materials, researchers have been interested in using DNA to construct hy...
One carbon allotrope is graphyne. Its structure consists of a planar sheet ofspandlinked carbon atoms organized in a crystal lattice, one atom thick. Graphyne is a graphene derivative where the hexagons are connected by acetylenic bonds, as seen in Figs.1and3. In 1987, Baughman et al.59mad...
Moving Averages — Arnaud Legoux – Exponential – Hull – Kaufman's Adaptive – Simple – Weighted – Wilder – Zero Lag – and more Technical Indicators — 150+ Indicators – Price Overlays – Oscillators Customize, Zoom and Scroll interactive Charts in any time-frame viz. Intraday...
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of a molecular graph. These descriptors are essential for conducting QSPR investigations and accurately estimating physicochemical attributes. The structural and algebraic characteristics of the graphene and graphdiyne are studied to apply this methodology. The study involves the analysis and estimation of ...
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The repeated derivatives of the Gaussian function are those of a composite function in which 𝑓(.)f(.) is an exponential and 𝑔(.)g(.) a quadratic function. The relevant expression leads to the Hermite polynomials as auxiliary tool, to get a synthetic expression for any order of the ...