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Compared with integer-order derivatives, it has a greater advantage in describing the memory and hereditary properties of manifold materials and processes (see [1 3]).
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The current study highlights the manifold material characteristics to be addressed during the substrate design process and provides insight into processes to improve bio-interfaces.
These research efforts have shown that, compared with integer calculus, fractional calculus has a greater advantage in describing the memory and hereditary properties of manifold material and processes, and fractional calculus has plenty of freedom when we simulate real-world problems.
In our kernel associative memory, on the other hand, the corresponding space is no longer linear but rather is a Riemannian manifold, see Materials and Methods Section 3.7.
Here the emphasis is placed on the original works, the various breakthroughs and their contributors, the connection with the notion of "material" force, the modern – but often unfamiliar – concept of mechanics on the material manifold, a strategy of post-processing to evaluate driving forces, and a methodology imported from mathematical physics.
To this end, the present paper outlines recent development and prospect in the application of the Configurational Mechanics, i.e. mechanics of continua expressed intrinsically in the material manifold, and the Critical Plane Approach, entirely formulated in the deformed configuration of the body, to fatigue failure analysis of rubberlike materials.
At the far end, after manifold adventures, the material turns back on itself, coming home to a hard-won calm, steeped in recollection.
While souls are one and individual everywhere ("our soul is no less here than in the sky, no less in Italy than in India"), bodies are different and manifold depending on material circumstances and vital urges, for "division of bodies is determined by the needs of life (vitae commodum)" (Paralipomenon, OO, X, 446a).
The applications of TiO2pertaining to engineering, semiconducting, and medicinal industries are enormous and expected to enhance by manifold times if the material is nanostructured to design fundamental nanodevices.
Coastal dunes are transitional systems which offer manifold ecosystem services, including material and intangible benefits, whose relevance for human society has been little investigated to date.
Seven different thermal barrier coatings (TBC) intended for coating the inside of an exhaust manifold to reduce its material temperature were studied.
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