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Symmetry enables excellent motion performance of compliant mechanisms, such as minimized parasitic motion, reduced cross-axis coupling, mitigated buckling, and decreased thermal sensitivity.
Haiyang Li, Guangbo Hao
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Canonical F-Planar Mappings of Spaces with Affine Connection onto m-Symmetric Spaces
In this paper, we consider canonical F-planar mappings of spaces with affine connection onto m-symmetric spaces. We obtained the fundamental equations of these mappings in the form of a closed system of Chauchy-type equations in covariant derivatives ...
Volodymyr Berezovski +2 more
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On a Class of Sequences Related to $p$-Absolutely Summable Sequences in Metric Space Defined by Orlicz Functions [PDF]
In this article we have introduced the sequence space $m(\phi,d)$ and $m(M,\phi,d)$ of W. L. C. Sargent type in a metric space $(X, d)$ on generalising the sequence space $m(\phi)$ and we have defined these sequence spaces using the Orlicz function $M ...
Rinku Dey, Binod Tripathy
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On Canonical Almost Geodesic Mappings of Type π2(e)
In the paper, we consider canonical almost geodesic mappings of type π 2 ( e ) . We have found the conditions that must be satisfied for the mappings to preserve the Riemann tensor.
Volodymyr Berezovski +3 more
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Pseudosymmetric Spaces as Generalization of Symmetric spaces [PDF]
In this paper, the concept of a pseudosymmetric space which is a natural generalization of the concept of a symmetric space is defined. All basic concepts such as the Luxemburg representation theorem, the Boyd indices, the fundamental function and its ...
Bilal Bilalov +3 more
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Weakly symmetric functions on spaces of Lebesgue integrable functions
In this work, we present the notion of a weakly symmetric function. We show that the subset of all weakly symmetric elements of an arbitrary vector space of functions is a vector space.
T.V. Vasylyshyn, V.A. Zahorodniuk
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Symmetric functions on spaces $\ell_p(\mathbb{{R}}^n)$ and $\ell_p(\mathbb{{C}}^n)$
This work is devoted to the study of algebras of continuous symmetric polynomials, that is, invariant with respect to permutations of coordinates of its argument, and of $*$-polynomials on Banach spaces $\ell_p(\mathbb{R}^n)$ and $\ell_p(\mathbb{C}^n ...
T.V. Vasylyshyn
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Bergman and Dirichlet spaces in the unit ball and symmetric lifting operator [PDF]
Let $\mathbb{B}_n$ be the open unit ball in $\mathbb{C}^n$ and $\mathbb{B}_n^2 = \mathbb{B}_n \times \mathbb{B}_n$. The symmetric lifting operator which lifts analytic functions from $H(\mathbb{B}_n)$ to $H(\mathbb{B}_n^2)$ is defined as follow\[L(f)(z,w)
Mostafa Hassanlou, Ebrahim Abbasi
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Some sequence spaces of fuzzy numbers defined by Orlicz function
In this article we introduce some fuzzy sequence spaces defined by Orlicz function and study different properties of these spaces like completeness, symmetricity etc. We establish some inclusion results among them.
Bipul Sarma
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On the class of fuzzy number sequences [PDF]
We introduce the notion of p-bounded variation of fuzzy real number sequences, bvFp, for 1 ...
Binod Chandra Tripathy +1 more
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